Hydraulic Fracturing in the Toughness-Dominated Regime
This page is based on a Jupyter notebook.
Hydraulic Fracturing in the Toughness-Dominated Regime
Under the toughness-dominated regime without leak-off, the fluid viscosity dissipation is negligible compared to the energy released for fracture surface formation (Detournay et al., 2016). Therefore, in this regime, we can neglect the pressure loss within the fracture and use the Sneddon solution for crack opening (Bourdin et al., 2012, Sneddon et al., 1969) to determine the pressure and length evolution.
The work of the pressure force is as follows:
$$ \begin{equation} \mathcal{W}(R) =\frac{2 p^2 a^2}{E'}. \end{equation} $$Applying Clapeyron’s theorem, the elastic energy can be determined as
$$ \begin{equation} \mathcal{E}(R) =-\frac{\pi p^2 a^2}{E'}, \end{equation} $$and the energy release rate with respect to the crack length $a$ propagating along the initial inclination is
$$ \begin{equation} G(R) = - \frac{\partial \mathcal{E}}{\partial (2 a)} = \frac{\pi p^2 a}{E'}. \end{equation} $$Griffith's criterion (Griffith et al., 1920) states that the fracture propagates when $G=G_c$ and the critical volume for crack propagation is $V_c := \sqrt{\dfrac{4 \pi G_c a^3}{E' }}$ in a quasi-static volume control setting (the fracture propagation is always unstable with pressure control).
The evolution of the corresponding pressure and fracture length
$$ \begin{equation} p(V) = \begin{cases} \dfrac{E' V}{2 \pi a_0^2} &\text{for} V < V_c \\ \left[ \dfrac{2 E' G_c^2}{\pi V} \right] ^{\frac{1}{3}}&\text{for} V \geq V_c, \end{cases} \end{equation} $$ $$ \begin{equation} a(V) = \begin{cases} a_0 & V < V_c \\ \left[ \dfrac{E' V^2}{4 \pi G_c} \right ] ^{\frac{1}{3}} & V \geq V_c. \end{cases} \end{equation} $$Problem Description
Based on Sneddon's solution (Sneddon et al., 1969), we verified the model with plane-strain hydraulic fracture propagation in a toughness-dominated regime. In an infinite 2D domain, the problem was solved with a line fracture $[-a_0, a_0] \times \{0\}$ ($a_0$ = 0.05). We considered a large finite domain $[-40a_0,40a_0] \times [-40a_0,40a_0]$ to account for the infinite boundaries in the closed-form solution. The effective size of an element, $h$, is $1\times10^{-2}$.
- In order to have the hydraulic fracturing in the toughness dominated-regime, add, $\texttt{
propagating }$ in the project file. - Yoshioka et al., 2019 provides additional information on the implementation, use of real material properties, and rescaling of the phase-field energy functional.
Input Data
Taking advantage of the linearity of the system, the simulations were run with the dimensionless properties listed in the Table below.
| Name | Value | Symbol |
|---|---|---|
| Young’s modulus | 1 | $E$ |
| Poisson’s ratio | 0.15 | $\nu$ |
| Fracture toughness | 1 | $G_{c}$ |
| Regularization parameter | 2$h$ | $\ell_s$ |
| Length | 4 | $L$ |
| Height | 4 | $H$ |
| Initial crack length | 0.1 | $2a_0$ |
import math…
(click to toggle)
import math
import os
import re
import time
from pathlib import Path
from subprocess import run
import gmsh
import matplotlib.pyplot as plt
import numpy as np
import ogstools as ot
import pyvista as pv
from ogstools.msh2vtu import msh2vtupi = math.pi
plt.rcParams["text.usetex"] = True
E = 1.0…
(click to toggle)
E = 1.0
nu = 0.15
Gc = 1.0
h = 0.01
a0 = 0.05 # half of the initial crack length
phasefield_model = "AT1" # AT1/AT2Output Directory and Project File
# file's name…
(click to toggle)
# file's name
prj_name = "Kregime_Propagating.prj"
meshname = "mesh_full_pf"
out_dir = Path(os.environ.get("OGS_TESTRUNNER_OUT_DIR", "_out"))
if not out_dir.exists():
out_dir.mkdir(parents=True)Mesh Generation
def mesh_generation(lc, lc_fine):…
(click to toggle)
def mesh_generation(lc, lc_fine):
"""
lc ... characteristic length for coarse meshing
lc_fine ... characteristic length for fine meshing
"""
L = 4.0 # Length
H = 4.0 # Height
b = 0.4 # Length/Height of subdomain with fine mesh
# Before using any functions in the Python API, Gmsh must be initialized
gmsh.initialize()
gmsh.option.setNumber("General.Terminal", 1)
gmsh.model.add("rectangle")
# Dimensions
dim0 = 0
dim1 = 1
dim2 = 2
# Points
gmsh.model.geo.addPoint(-L / 2, -H / 2, 0, lc, 1)
gmsh.model.geo.addPoint(L / 2, -H / 2, 0, lc, 2)
gmsh.model.geo.addPoint(L / 2, H / 2, 0, lc, 3)
gmsh.model.geo.addPoint(-L / 2, H / 2, 0, lc, 4)
gmsh.model.geo.addPoint(-b, -b - lc_fine / 2, 0, lc_fine, 5)
gmsh.model.geo.addPoint(b, -b - lc_fine / 2, 0, lc_fine, 6)
gmsh.model.geo.addPoint(b, b + lc_fine / 2, 0, lc_fine, 7)
gmsh.model.geo.addPoint(-b, b + lc_fine / 2, 0, lc_fine, 8)
# Lines
gmsh.model.geo.addLine(1, 2, 1)
gmsh.model.geo.addLine(2, 3, 2)
gmsh.model.geo.addLine(3, 4, 3)
gmsh.model.geo.addLine(4, 1, 4)
gmsh.model.geo.addLine(5, 6, 5)
gmsh.model.geo.addLine(6, 7, 6)
gmsh.model.geo.addLine(7, 8, 7)
gmsh.model.geo.addLine(8, 5, 8)
# Line loops
gmsh.model.geo.addCurveLoop([1, 2, 3, 4], 1)
gmsh.model.geo.addCurveLoop([5, 6, 7, 8], 2)
# Add plane surfaces defined by one or more curve loops.
gmsh.model.geo.addPlaneSurface([1, 2], 1)
gmsh.model.geo.addPlaneSurface([2], 2)
gmsh.model.geo.synchronize()
# Prepare structured grid
gmsh.model.geo.mesh.setTransfiniteCurve(
6, math.ceil(2 * b / lc_fine + 2), "Progression", 1
)
gmsh.model.geo.mesh.setTransfiniteCurve(
8, math.ceil(2 * b / lc_fine + 2), "Progression", 1
)
gmsh.model.geo.mesh.setTransfiniteSurface(2, "Alternate")
gmsh.model.geo.mesh.setRecombine(dim2, 1)
gmsh.model.geo.mesh.setRecombine(dim2, 2)
gmsh.model.geo.synchronize()
# Physical groups
P1 = gmsh.model.addPhysicalGroup(dim0, [1])
gmsh.model.setPhysicalName(dim0, P1, "P1")
P2 = gmsh.model.addPhysicalGroup(dim0, [2])
gmsh.model.setPhysicalName(dim0, P2, "P2")
Bottom = gmsh.model.addPhysicalGroup(dim1, [1])
gmsh.model.setPhysicalName(dim1, Bottom, "Bottom")
Right = gmsh.model.addPhysicalGroup(dim1, [2])
gmsh.model.setPhysicalName(dim1, Right, "Right")
Top = gmsh.model.addPhysicalGroup(dim1, [3])
gmsh.model.setPhysicalName(dim1, Top, "Top")
Left = gmsh.model.addPhysicalGroup(dim1, [4])
gmsh.model.setPhysicalName(dim1, Left, "Left")
Computational_domain = gmsh.model.addPhysicalGroup(dim2, [1, 2])
gmsh.model.setPhysicalName(dim2, Computational_domain, "Computational_domain")
gmsh.model.geo.synchronize()
output_file = f"{out_dir}/" + meshname + ".msh"
gmsh.model.mesh.generate(dim2)
gmsh.write(output_file)
gmsh.finalize()Pre-Processing
def pre_processing(h, a0):…
(click to toggle)
def pre_processing(h, a0):
mesh = pv.read(f"{out_dir}/mesh_full_pf_domain.vtu")
phase_field = np.ones((len(mesh.points), 1))
pv.set_plot_theme("document")
for node_id, x in enumerate(mesh.points):
if (
(mesh.center[0] - x[0]) <= a0 + 0.001 * h
and (mesh.center[0] - x[0]) >= -a0 - 0.001 * h
and (mesh.center[1] - x[1]) < h / 2 + 0.001 * h
and (mesh.center[1] - x[1]) > -h / 2 - 0.001 * h
):
phase_field[node_id] = 0.0
mesh.point_data["phase-field"] = phase_field
mesh.save(f"{out_dir}/mesh_full_pf_OGS_pf_ic.vtu")Run the Simulation
pv.set_plot_theme("document")…
(click to toggle)
pv.set_plot_theme("document")
pv.set_jupyter_backend("static")
def Hydraulic_Fracturing_Toughness_Dominated_numerical(h, phasefield_model):
# mesh properties
ls = 2 * h
# generate prefix from properties
filename = f"results_h_{h:0.4f}_{phasefield_model}"
mesh_generation(0.1, h)
# Convert GMSH (.msh) meshes to VTU meshes appropriate for OGS simulation.
input_file = f"{out_dir}/" + meshname + ".msh"
msh2vtu(filename=input_file, output_path=out_dir, reindex=True, keep_ids=True)
%cd {out_dir}
run(
"identifySubdomains -f -m mesh_full_pf_domain.vtu -- mesh_full_pf_physical_group_*.vtu",
shell=True,
check=True,
)
%cd -
# As a preprocessing step, define the initial phase-field (crack).
pre_processing(h, a0)
# change properties in prj file #For more information visit: https://ogstools.opengeosys.org/stable/reference/ogstools.ogs6py.html
model = ot.Project(
input_file=prj_name,
output_file=f"{out_dir}/{prj_name}",
MKL=True,
args=f"-o {out_dir}",
)
model.replace_parameter_value(name="ls", value=ls)
model.replace_text(phasefield_model, xpath="./processes/process/phasefield_model")
model.replace_text(filename, xpath="./time_loop/output/prefix")
model.write_input()
# run simulation with ogs
t0 = time.time()
print(">>> OGS started execution ... <<<")
run(
f"ogs {out_dir}/{prj_name} -o {out_dir} > {out_dir}/log.txt",
shell=True,
check=True,
)
tf = time.time()
print(">>> OGS terminated execution <<< Elapsed time: ", round(tf - t0, 2), " s.")Hydraulic_Fracturing_Toughness_Dominated_numerical(h, phasefield_model)Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 20%] Meshing curve 2 (Line)
Info : [ 30%] Meshing curve 3 (Line)
Info : [ 40%] Meshing curve 4 (Line)
Info : [ 60%] Meshing curve 5 (Line)
Info : [ 70%] Meshing curve 6 (Line)
Info : [ 80%] Meshing curve 7 (Line)
Info : [ 90%] Meshing curve 8 (Line)
Info : Done meshing 1D (Wall 0.00041556s, CPU 0s)
Info : Meshing 2D...
Info : [ 0%] Meshing surface 1 (Plane, Frontal-Delaunay)
Info : [ 0%] Blossom: 24032 internal 482 closed
INFO:root:Output: mesh_full_pf
INFO:root:Original mesh (read)
INFO:root:<meshio mesh object>
Number of points: 14439
Number of cells:
vertex: 1
vertex: 1
line: 40
line: 40
line: 40
line: 40
quad: 7878
quad: 6480
Cell sets: P1, P2, Bottom, Right, Top, Left, Computational_domain, gmsh:bounding_entities
Point data: gmsh:dim_tags
Cell data: gmsh:physical, gmsh:geometrical
Field data: P1, P2, Bottom, Right, Top, Left, Computational_domain
INFO:root:Detected mesh dimension: 2
INFO:root:##
INFO:root:Domain mesh (written)
INFO:root:14439 points in 3 dimensions
INFO:root:cells: 14358 quad
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Boundary mesh (written)
INFO:root:160 points in 3 dimensions
INFO:root:cells: 160 line
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh P1 (written)
INFO:root:1 points in 3 dimensions
INFO:root:cells: 1 vertex
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh P2 (written)
INFO:root:1 points in 3 dimensions
INFO:root:cells: 1 vertex
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh Bottom (written)
INFO:root:41 points in 3 dimensions
INFO:root:cells: 40 line
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh Right (written)
INFO:root:41 points in 3 dimensions
INFO:root:cells: 40 line
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh Top (written)
INFO:root:41 points in 3 dimensions
INFO:root:cells: 40 line
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh Left (written)
INFO:root:41 points in 3 dimensions
INFO:root:cells: 40 line
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
INFO:root:Submesh Computational_domain (written)
INFO:root:14439 points in 3 dimensions
INFO:root:cells: 14358 quad
INFO:root:point_data=['gmsh:dim_tags']
INFO:root:cell_data=['gmsh:physical']
INFO:root:cell_sets=[]
INFO:root:##
Info : [ 0%] Blossom recombination completed (Wall 0.351309s, CPU 0.336192s): 7878 quads, 0 triangles, 0 invalid quads, 0 quads with Q < 0.1, avg Q = 0.793024, min Q = 0.371315
Info : [ 60%] Meshing surface 2 (Transfinite)
Info : Done meshing 2D (Wall 0.517487s, CPU 0.490859s)
Info : 14439 nodes 14848 elements
Info : Writing '/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/Tests/Data/PhaseField/Kregime_Propagating_jupyter_notebook/Kregime_Propagating_jupyter/mesh_full_pf.msh'...
Info : Done writing '/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/Tests/Data/PhaseField/Kregime_Propagating_jupyter_notebook/Kregime_Propagating_jupyter/mesh_full_pf.msh'
/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/Tests/Data/PhaseField/Kregime_Propagating_jupyter_notebook/Kregime_Propagating_jupyter
/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/IPython/core/magics/osm.py:417: UserWarning: This is now an optional IPython functionality, setting dhist requires you to install the `pickleshare` library.
self.shell.db['dhist'] = compress_dhist(dhist)[-100:]
[2025-02-13 08:38:12.996] [ogs] [info] Mesh reading time: 0.0413053 s
[2025-02-13 08:38:12.996] [ogs] [info] MeshNodeSearcher construction time: 0.000543647 s
[2025-02-13 08:38:12.997] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 1.6381e-05 s
[2025-02-13 08:38:12.998] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.00186039 s
[2025-02-13 08:38:13.000] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 0.00129344 s
[2025-02-13 08:38:13.006] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.00645372 s
[2025-02-13 08:38:13.006] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 6.3e-06 s
[2025-02-13 08:38:13.007] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.000866137 s
[2025-02-13 08:38:13.007] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 3.4e-07 s
[2025-02-13 08:38:13.008] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.000617069 s
[2025-02-13 08:38:13.008] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 2.9e-07 s
[2025-02-13 08:38:13.009] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.00063103 s
[2025-02-13 08:38:13.009] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 6.18e-06 s
[2025-02-13 08:38:13.009] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.000681872 s
[2025-02-13 08:38:13.009] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshNodes took 4.77e-06 s
[2025-02-13 08:38:13.010] [ogs] [info] identifySubdomainMesh(): identifySubdomainMeshElements took 0.000624489 s
[2025-02-13 08:38:13.010] [ogs] [info] identifySubdomains time: 0.0134301 s
[2025-02-13 08:38:13.043] [ogs] [info] writing time: 0.032922 s
[2025-02-13 08:38:13.043] [ogs] [info] Entire run time: 1.34533 s
/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/ogs/Tests/Data/PhaseField/Kregime_Propagating_jupyter_notebook
>>> OGS started execution ... <<<
>>> OGS terminated execution <<< Elapsed time: 350.2 s.
Post-Processing
Analytical Solution for the Evolution of Fracture Length and Pressure
def Analytical_solution(phasefield_model, h):…
(click to toggle)
def Analytical_solution(phasefield_model, h):
v = np.linspace(1e-10, 0.3, 31)
pres = np.linspace(0, 1.0, 31)
length = np.linspace(0, 1.0, 31)
ls = 2 * h
# Effective Gc and a for AT1/A2
if phasefield_model == "AT1":
Gc_ref = Gc * (3 * h / 8.0 / ls + 1.0)
a_eff = a0 * (1 + pi * ls / (4.0 * a0 * (3 * h / 8.0 / ls + 1.0)))
elif phasefield_model == "AT2":
Gc_ref = Gc * (h / (2.0 * ls) + 1.0)
a_eff = a0 * (1 + pi * ls / (4.0 * a0 * (h / (2.0 * ls) + 1.0)))
Eprime = E / (1 - nu**2)
V_c = (4 * pi * Gc_ref * a_eff**3 / Eprime) ** 0.5
P_c = (Eprime * Gc_ref / (pi * a_eff)) ** 0.5
for i in range(len(v)):
if v[i] < V_c:
pres[i] = Eprime * v[i] / (2 * pi * a_eff**2) / P_c
length[i] = a_eff
else:
pres[i] = (2 * Eprime * Gc_ref**2 / (pi * v[i])) ** 0.333333 / P_c
length[i] = (Eprime * v[i] ** 2 / (4 * pi * Gc_ref)) ** 0.333333
return v, pres, length, Gc_ref, P_c
fluidVolume_analytical = Analytical_solution(phasefield_model, h)[0]
pressure_analytical = Analytical_solution(phasefield_model, h)[1]
length_analytical = Analytical_solution(phasefield_model, h)[2]
Gc_ref = Analytical_solution(phasefield_model, h)[3]
P_c = Analytical_solution(phasefield_model, h)[4]Phase Field Versus Analytical Solution for Fracture Length and Pressure Evolution
In phase field approach, we can retrieve the crack length $a$ as:
$$ \begin{equation} a = \dfrac{\displaystyle \int_\Omega \frac{G_c}{4 c_n} \left(\frac{(1-v)^n}{\ell}+ \ell |\nabla v|^2\right)\,\mathrm{d} \Omega }{G_c \left( \dfrac{h}{4 c_n \ell} + 1 \right)}. \end{equation} $$where $n=1$ corresponds to $\texttt{AT}_1$ ($c_n = 2/3$) and $n=2$ to $\texttt{AT}_2$ ($c_n = 1/2$).
plt.subplots(figsize=(12, 4))…
(click to toggle)
plt.subplots(figsize=(12, 4))
plt.subplot(1, 2, 1)
fluid_volume = []
surface_energy = []
# Open the file for reading
with (out_dir / "log.txt").open() as fd:
# Iterate over the lines
for _i, line in enumerate(fd):
match_surface_energy = re.search(
r"""Surface energy: (\d+\.\d*) Pressure work: (\d+\.\d*) at time: (\d+\.\d*)""",
line,
)
if match_surface_energy:
surface_energy.append(float(match_surface_energy.group(1)))
fluid_volume.append(float(match_surface_energy.group(3)))
plt.grid(linestyle="dashed")
plt.xlabel("Volume")
plt.ylabel("Crack length")
plt.plot(fluidVolume_analytical, length_analytical, "black", label="Closed form")
plt.plot(
fluid_volume,
np.array(surface_energy[:]) / Gc_ref / 2,
"bo",
fillstyle="none",
label="Phase-field",
)
legend = plt.legend(loc="lower right")
plt.subplot(1, 2, 2)
fluid_volume = []
pressure = []
# Open the file for reading
with (out_dir / "log.txt").open() as fd:
# Iterate over the lines
for _i, line in enumerate(fd):
match_pressure = re.search(
r"""Pressure: (\d+\.\d*) at time: (\d+\.\d*)""", line
)
if match_pressure:
fluid_volume.append(float(match_pressure.group(2)))
pressure.append(float(match_pressure.group(1)))
plt.xlabel("Volume")
plt.ylabel("$p_f/p_c$")
plt.plot(fluidVolume_analytical, pressure_analytical, "black", label="Closed form")
plt.plot(
np.array(fluid_volume[:]),
np.array(pressure[:]) / P_c,
"g<",
fillstyle="none",
label="Phase-field",
)
plt.grid(linestyle="dashed")
legend = plt.legend(loc="upper right")
plt.show()DEBUG:matplotlib.pyplot:Loaded backend module://matplotlib_inline.backend_inline version unknown.
DEBUG:matplotlib.pyplot:Loaded backend module://matplotlib_inline.backend_inline version unknown.
DEBUG:matplotlib.font_manager:findfont: Matching sans\-serif:style=normal:variant=normal:weight=normal:stretch=normal:size=10.0.
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSans-BoldOblique.ttf', name='DejaVu Sans', style='oblique', variant='normal', weight=700, stretch='normal', size='scalable')) = 1.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSans-Bold.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 0.33499999999999996
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizFourSymBol.ttf', name='STIXSizeFourSym', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerifDisplay.ttf', name='DejaVu Serif Display', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerif-Bold.ttf', name='DejaVu Serif', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSansMono-BoldOblique.ttf', name='DejaVu Sans Mono', style='oblique', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSansMono.ttf', name='DejaVu Sans Mono', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXGeneral.ttf', name='STIXGeneral', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizTwoSymBol.ttf', name='STIXSizeTwoSym', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmex10.ttf', name='cmex10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmsy10.ttf', name='cmsy10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSansMono-Bold.ttf', name='DejaVu Sans Mono', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizOneSymBol.ttf', name='STIXSizeOneSym', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXGeneralItalic.ttf', name='STIXGeneral', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmss10.ttf', name='cmss10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerif-Italic.ttf', name='DejaVu Serif', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSans.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 0.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizOneSymReg.ttf', name='STIXSizeOneSym', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmr10.ttf', name='cmr10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmb10.ttf', name='cmb10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXNonUniBolIta.ttf', name='STIXNonUnicode', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXNonUniIta.ttf', name='STIXNonUnicode', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXNonUni.ttf', name='STIXNonUnicode', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizThreeSymReg.ttf', name='STIXSizeThreeSym', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmtt10.ttf', name='cmtt10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSansMono-Oblique.ttf', name='DejaVu Sans Mono', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerif.ttf', name='DejaVu Serif', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizThreeSymBol.ttf', name='STIXSizeThreeSym', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizFourSymReg.ttf', name='STIXSizeFourSym', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXNonUniBol.ttf', name='STIXNonUnicode', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXGeneralBolIta.ttf', name='STIXGeneral', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/cmmi10.ttf', name='cmmi10', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSansDisplay.ttf', name='DejaVu Sans Display', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizTwoSymReg.ttf', name='STIXSizeTwoSym', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXSizFiveSymReg.ttf', name='STIXSizeFiveSym', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSans-Oblique.ttf', name='DejaVu Sans', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 1.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/STIXGeneralBol.ttf', name='STIXGeneral', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerif-BoldItalic.ttf', name='DejaVu Serif', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-ExtraLightIt.otf', name='Source Code Pro', style='italic', variant='normal', weight=200, stretch='normal', size='scalable')) = 11.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/P052-BoldItalic.otf', name='P052', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSansOblique.otf', name='FreeSans', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/D050000L.otf', name='D050000L', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-Semibold.otf', name='Source Code Pro', style='normal', variant='normal', weight=600, stretch='normal', size='scalable')) = 10.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/Z003-MediumItalic.otf', name='Z003', style='italic', variant='normal', weight=500, stretch='normal', size='scalable')) = 11.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusRoman-BoldItalic.otf', name='Nimbus Roman', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansMono-Bold.ttf', name='DejaVu Sans Mono', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSansNarrow-Regular.otf', name='Nimbus Sans Narrow', style='normal', variant='normal', weight=400, stretch='condensed', size='scalable')) = 10.25
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeMonoBoldOblique.otf', name='FreeMono', style='oblique', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerif.ttf', name='DejaVu Serif', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/C059-Bold.otf', name='C059', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWBookman-LightItalic.otf', name='URW Bookman', style='italic', variant='normal', weight=300, stretch='normal', size='scalable')) = 11.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-BoldIt.otf', name='Source Code Pro', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSans.otf', name='FreeSans', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWGothic-BookOblique.otf', name='URW Gothic', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/C059-BdIta.otf', name='C059', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-MediumIt.otf', name='Source Code Pro', style='italic', variant='normal', weight=500, stretch='normal', size='scalable')) = 11.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWGothic-DemiOblique.otf', name='URW Gothic', style='oblique', variant='normal', weight=600, stretch='normal', size='scalable')) = 11.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSansNarrow-BoldOblique.otf', name='Nimbus Sans Narrow', style='oblique', variant='normal', weight=700, stretch='condensed', size='scalable')) = 11.535
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-It.otf', name='Source Code Pro', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVu Sans Mono Bold Oblique for Powerline.ttf', name='DejaVu Sans Mono for Powerline', style='oblique', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerif-BoldItalic.ttf', name='DejaVu Serif', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-Light.otf', name='Source Code Pro', style='normal', variant='normal', weight=300, stretch='normal', size='scalable')) = 10.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusMonoPS-BoldItalic.otf', name='Nimbus Mono PS', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-SemiboldIt.otf', name='Source Code Pro', style='italic', variant='normal', weight=600, stretch='normal', size='scalable')) = 11.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusRoman-Regular.otf', name='Nimbus Roman', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVu Sans Mono Bold for Powerline.ttf', name='DejaVu Sans Mono for Powerline', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansCondensed.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=400, stretch='condensed', size='scalable')) = 0.25
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/C059-Italic.otf', name='C059', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusMonoPS-Italic.otf', name='Nimbus Mono PS', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansCondensed-Bold.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=700, stretch='condensed', size='scalable')) = 0.5349999999999999
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVu Sans Mono for Powerline.ttf', name='DejaVu Sans Mono for Powerline', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWBookman-DemiItalic.otf', name='URW Bookman', style='italic', variant='normal', weight=600, stretch='normal', size='scalable')) = 11.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansMono.ttf', name='DejaVu Sans Mono', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerifCondensed-Italic.ttf', name='DejaVu Serif', style='italic', variant='normal', weight=400, stretch='condensed', size='scalable')) = 11.25
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansCondensed-Oblique.ttf', name='DejaVu Sans', style='oblique', variant='normal', weight=400, stretch='condensed', size='scalable')) = 1.25
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWBookman-Demi.otf', name='URW Bookman', style='normal', variant='normal', weight=600, stretch='normal', size='scalable')) = 10.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/P052-Italic.otf', name='P052', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSerifBold.otf', name='FreeSerif', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSansNarrow-Oblique.otf', name='Nimbus Sans Narrow', style='oblique', variant='normal', weight=400, stretch='condensed', size='scalable')) = 11.25
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeMonoBold.otf', name='FreeMono', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSans-BoldOblique.ttf', name='DejaVu Sans', style='oblique', variant='normal', weight=700, stretch='normal', size='scalable')) = 1.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-Regular.otf', name='Source Code Pro', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeMono.otf', name='FreeMono', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/C059-Roman.otf', name='C059', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSans-Regular.otf', name='Nimbus Sans', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSerif.otf', name='FreeSerif', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/StandardSymbolsPS.otf', name='Standard Symbols PS', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusRoman-Italic.otf', name='Nimbus Roman', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSans-Bold.otf', name='Nimbus Sans', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSerifItalic.otf', name='FreeSerif', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusMonoPS-Regular.otf', name='Nimbus Mono PS', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-LightIt.otf', name='Source Code Pro', style='italic', variant='normal', weight=300, stretch='normal', size='scalable')) = 11.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerifCondensed.ttf', name='DejaVu Serif', style='normal', variant='normal', weight=400, stretch='condensed', size='scalable')) = 10.25
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWBookman-Light.otf', name='URW Bookman', style='normal', variant='normal', weight=300, stretch='normal', size='scalable')) = 10.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerif-Bold.ttf', name='DejaVu Serif', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWGothic-Book.otf', name='URW Gothic', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuMathTeXGyre.ttf', name='DejaVu Math TeX Gyre', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-Black.otf', name='Source Code Pro', style='normal', variant='normal', weight=900, stretch='normal', size='scalable')) = 10.525
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-BlackIt.otf', name='Source Code Pro', style='italic', variant='normal', weight=900, stretch='normal', size='scalable')) = 11.525
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/P052-Roman.otf', name='P052', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 10.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-ExtraLight.otf', name='Source Code Pro', style='normal', variant='normal', weight=200, stretch='normal', size='scalable')) = 10.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSansBold.otf', name='FreeSans', style='normal', variant='normal', weight=600, stretch='normal', size='scalable')) = 10.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusMonoPS-Bold.otf', name='Nimbus Mono PS', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/URWGothic-Demi.otf', name='URW Gothic', style='normal', variant='normal', weight=600, stretch='normal', size='scalable')) = 10.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/P052-Bold.otf', name='P052', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeMonoOblique.otf', name='FreeMono', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSans-Oblique.ttf', name='DejaVu Sans', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 1.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSans.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')) = 0.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerifCondensed-Bold.ttf', name='DejaVu Serif', style='normal', variant='normal', weight=700, stretch='condensed', size='scalable')) = 10.535
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSans-Bold.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 0.33499999999999996
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-Bold.otf', name='Source Code Pro', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansCondensed-BoldOblique.ttf', name='DejaVu Sans', style='oblique', variant='normal', weight=700, stretch='condensed', size='scalable')) = 1.535
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSansBoldOblique.otf', name='FreeSans', style='oblique', variant='normal', weight=600, stretch='normal', size='scalable')) = 11.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusRoman-Bold.otf', name='Nimbus Roman', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')) = 10.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVu Sans Mono Oblique for Powerline.ttf', name='DejaVu Sans Mono for Powerline', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansMono-BoldOblique.ttf', name='DejaVu Sans Mono', style='oblique', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSansMono-Oblique.ttf', name='DejaVu Sans Mono', style='oblique', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerifCondensed-BoldItalic.ttf', name='DejaVu Serif', style='italic', variant='normal', weight=700, stretch='condensed', size='scalable')) = 11.535
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSerif-Italic.ttf', name='DejaVu Serif', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSansNarrow-Bold.otf', name='Nimbus Sans Narrow', style='normal', variant='normal', weight=700, stretch='condensed', size='scalable')) = 10.535
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gnu-free/FreeSerifBoldItalic.otf', name='FreeSerif', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSans-BoldItalic.otf', name='Nimbus Sans', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')) = 11.335
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/TTF/DejaVuSans-ExtraLight.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=200, stretch='normal', size='scalable')) = 0.24
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/adobe-source-code-pro/SourceCodePro-Medium.otf', name='Source Code Pro', style='normal', variant='normal', weight=500, stretch='normal', size='scalable')) = 10.145
DEBUG:matplotlib.font_manager:findfont: score(FontEntry(fname='/usr/share/fonts/gsfonts/NimbusSans-Italic.otf', name='Nimbus Sans', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')) = 11.05
DEBUG:matplotlib.font_manager:findfont: Matching sans\-serif:style=normal:variant=normal:weight=normal:stretch=normal:size=10.0 to DejaVu Sans ('/var/lib/gitlab-runner/builds/vZ6vnZiU/1/ogs/build/release-petsc/.venv/lib/python3.12/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSans.ttf') with score of 0.050000.
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
DEBUG:matplotlib.texmanager:family: sans-serif, package: \usepackage{type1ec}, font: Computer Modern Sans Serif, skipped: DejaVu Sans, Bitstream Vera Sans
DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/84/4f/844f707e0917555faafa721cd5105dbd.dvi
DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:lh=18, bc=0, ec=127, nw=52, nh=16, nd=11
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
DEBUG:matplotlib.texmanager:family: sans-serif, package: \usepackage{type1ec}, font: Computer Modern Sans Serif, skipped: DejaVu Sans, Bitstream Vera Sans
DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
DEBUG:matplotlib.texmanager:family: sans-serif, package: \usepackage{type1ec}, font: Computer Modern Sans Serif, skipped: DejaVu Sans, Bitstream Vera Sans
DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
DEBUG:matplotlib.texmanager:family: sans-serif, package: \usepackage{type1ec}, font: Computer Modern Sans Serif, skipped: DejaVu Sans, Bitstream Vera Sans
DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:latex -interaction=nonstopmode --halt-on-error --output-directory=tmp_vo9qbqo 034c697e4966133bcd6756494b8f530a.tex
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
DEBUG:matplotlib.texmanager:family: sans-serif, package: \usepackage{type1ec}, font: Computer Modern Sans Serif, skipped: DejaVu Sans, Bitstream Vera Sans
DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
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DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:latex -interaction=nonstopmode --halt-on-error --output-directory=tmpykz724j4 2423c9cc8e1075dd3812c89f524ceaa9.tex
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DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
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DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
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DEBUG:matplotlib.texmanager:latex -interaction=nonstopmode --halt-on-error --output-directory=tmp_j59z9dz 6781b2b3fa4a8d051cd4be1ebfa6cf8b.tex
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DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/98/c9/98c9b8fe9f1d8697d86377fa8c62962d.dvi
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DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
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DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
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DEBUG:matplotlib.texmanager:family: serif, package: \usepackage{type1ec}, font: Computer Modern Roman, skipped: DejaVu Serif, Bitstream Vera Serif
DEBUG:matplotlib.texmanager:family: sans-serif, package: \usepackage{type1ec}, font: Computer Modern Sans Serif, skipped: DejaVu Sans, Bitstream Vera Sans
DEBUG:matplotlib.texmanager:family: cursive, package: \usepackage{chancery}, font: Zapf Chancery, skipped: Apple Chancery, Textile
DEBUG:matplotlib.texmanager:family: monospace, package: \usepackage{type1ec}, font: Computer Modern Typewriter, skipped: DejaVu Sans Mono, Bitstream Vera Sans Mono
DEBUG:matplotlib.texmanager:latex -interaction=nonstopmode --halt-on-error --output-directory=tmpml7pqayl 38a03fcf6b2abfae72206b2821a254ec.tex
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DEBUG:matplotlib.texmanager:latex -interaction=nonstopmode --halt-on-error --output-directory=tmpfdatyc2o 04fdbbcb8f92afdecb76d256e1af3f20.tex
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/84/4f/844f707e0917555faafa721cd5105dbd.dvi
DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/84/4f/844f707e0917555faafa721cd5105dbd.dvi
DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/84/4f/844f707e0917555faafa721cd5105dbd.dvi
DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/84/4f/844f707e0917555faafa721cd5105dbd.dvi
DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: header=l3backend-dvips.pro
DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/03/4c/034c697e4966133bcd6756494b8f530a.dvi
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DEBUG:matplotlib.dviread:Dvi: /var/lib/gitlab-runner/.cache/matplotlib/tex.cache/24/23/2423c9cc8e1075dd3812c89f524ceaa9.dvi
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plt.subplots(figsize=(12, 4))…
(click to toggle)
plt.subplots(figsize=(12, 4))
plt.subplot(1, 2, 1)
plt.grid(linestyle="dashed")
plt.plot(
fluidVolume_analytical[1:],
(
abs(length_analytical[1:] - np.array(surface_energy[:]) / (2 * Gc_ref))
/ (np.array(surface_energy[:]) / (2 * Gc_ref))
)
* 100,
"-.ob",
fillstyle="none",
label="Closed form",
)
plt.ylim([0.0, 10])
plt.xlabel("Volume")
plt.ylabel(
r"$\frac{|a_\mathrm{num}-{a}_\mathrm{ana}|}{{a}_\mathrm{num}}\times 100\%$",
fontsize=14,
)
plt.subplot(1, 2, 2)
plt.grid(linestyle="dashed")
plt.plot(
fluidVolume_analytical[1:],
(abs(pressure_analytical[1:] - np.array(pressure[:]) / P_c) / pressure[:]) * 100,
"-.<g",
fillstyle="none",
label="Closed form",
)
plt.ylim([0.0, 10])
plt.xlabel("Volume")
plt.ylabel(
r"$\frac{|p_\mathrm{num}-{p}_\mathrm{ana}|}{{p}_\mathrm{num}}\times 100\%$",
fontsize=14,
)
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt
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DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt
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In order to reduce computation time, we perform the simulation with a coarse mesh; the results for the $\texttt{AT}_1$ Model with a mesh size of $h=0.001$ are provided below.
$\texttt{AT}_1$ Model:
Hydraulic Fracturing Animation (Using Phase Field Approach)
filename = f"results_h_{h:0.4f}_{phasefield_model}"…
(click to toggle)
filename = f"results_h_{h:0.4f}_{phasefield_model}"
reader = pv.get_reader(f"{out_dir}/" + filename + ".pvd")
plotter = pv.Plotter(shape=(1, 2), border=False)
plotter.open_gif(f"{out_dir}/Kregime_Propagating.gif")
for time_value in reader.time_values:
reader.set_active_time_value(time_value)
mesh = reader.read()[0]
sargs = {
"title": "Phase field",
"title_font_size": 16,
"label_font_size": 12,
"n_labels": 5,
"position_x": 0.25,
"position_y": 0.15,
"fmt": "%.1f",
"width": 0.5,
}
p = pv.Plotter(shape=(1, 2), border=False)
clim = [0, 1.0]
points = mesh.point_data["phasefield"].shape[0]
xs = mesh.points[:, 0]
ys = mesh.points[:, 1]
pf = mesh.point_data["phasefield"]
plotter.clear()
plotter.add_mesh(
mesh,
scalars=pf,
show_scalar_bar=True,
colormap="coolwarm",
clim=clim,
scalar_bar_args=sargs,
lighting=False,
)
plotter.add_text(f"Time: {time_value:0.02f}", color="black")
plotter.view_xy()
plotter.write_frame()
plotter.close()DEBUG:PIL.Image:Importing BlpImagePlugin
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DEBUG:PIL.Image:Image: failed to import FpxImagePlugin: No module named 'olefile'
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DEBUG:PIL.Image:Image: failed to import MicImagePlugin: No module named 'olefile'
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DEBUG:PIL.Image:Importing XVThumbImagePlugin
Phase Field Profile at Last Time Step
mesh = reader.read()[0]…
(click to toggle)
mesh = reader.read()[0]
points = mesh.point_data["phasefield"].shape[0]
xs = mesh.points[:, 0]
ys = mesh.points[:, 1]
pf = mesh.point_data["phasefield"]
clim = [0, 1.0]
sargs = {
"title": "Phase field",
"title_font_size": 16,
"label_font_size": 12,
"n_labels": 5,
"position_x": 0.25,
"position_y": 0.0,
"fmt": "%.1f",
"width": 0.5,
}
plotter = pv.Plotter(shape=(1, 2), border=False)
plotter.add_mesh(
mesh,
scalars=pf,
show_edges=False,
show_scalar_bar=True,
colormap="coolwarm",
clim=clim,
scalar_bar_args=sargs,
lighting=False,
)
plotter.view_xy()
plotter.camera.zoom(1.5)
plotter.window_size = [1000, 500]
plotter.show()INFO:trame_server.utils.namespace:Translator(prefix=None)
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INFO:wslink.backends.aiohttp:awaiting running future
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INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
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INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token Show
INFO:trame_server.state:has(Show => Show) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_show_ui ? 'Hide' : 'Show' }
INFO:trame_server.utils.namespace: token } menu
INFO:trame_client.widgets.core:js_key = class
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INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_show_ui
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_show_ui
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INFO:trame_server.utils.namespace: => props
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INFO:trame_server.utils.namespace:(prefix=None) token
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INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
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INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = size
INFO:trame_client.widgets.core:js_key = variant
INFO:trame_client.widgets.core:js_key = icon
INFO:trame_server.controller:trigger(trigger__7)
INFO:trame_server.utils.namespace: token mdi-axis-z-arrow
INFO:trame_server.utils.namespace: token Reset Camera Z
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = vertical
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = v-model
INFO:trame_client.widgets.core:before: v-model = P_0x761caa1fde20_31_edge_visibility
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_edge_visibility
INFO:trame_server.state:has(P_0x761caa1fde20_31_edge_visibility => P_0x761caa1fde20_31_edge_visibility) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_edge_visibility
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_edge_visibility
INFO:trame_client.widgets.core:after: v-model = P_0x761caa1fde20_31_edge_visibility
INFO:trame_client.widgets.core:js_key = density
INFO:trame_client.widgets.core:js_key = hideDetails
INFO:trame_client.widgets.core:js_key = falseIcon
INFO:trame_client.widgets.core:js_key = trueIcon
INFO:trame_server.utils.namespace: token Toggle edge visibility ({
INFO:trame_server.utils.namespace: token { P_0x761caa1fde20_31_edge_visibility ? 'on' : 'off' }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_edge_visibility
INFO:trame_server.state:has(P_0x761caa1fde20_31_edge_visibility => P_0x761caa1fde20_31_edge_visibility) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_edge_visibility
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
INFO:trame_server.state:has(? => ?) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token on
INFO:trame_server.state:has(on => on) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token :
INFO:trame_server.state:has(: => :) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token off
INFO:trame_server.state:has(off => off) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_edge_visibility ? 'on' : 'off' }
INFO:trame_server.utils.namespace: token })
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = v-model
INFO:trame_client.widgets.core:before: v-model = P_0x761caa1fde20_31_outline_visibility
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_outline_visibility
INFO:trame_server.state:has(P_0x761caa1fde20_31_outline_visibility => P_0x761caa1fde20_31_outline_visibility) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_outline_visibility
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_outline_visibility
INFO:trame_client.widgets.core:after: v-model = P_0x761caa1fde20_31_outline_visibility
INFO:trame_client.widgets.core:js_key = density
INFO:trame_client.widgets.core:js_key = hideDetails
INFO:trame_client.widgets.core:js_key = falseIcon
INFO:trame_client.widgets.core:js_key = trueIcon
INFO:trame_server.utils.namespace: token Toggle bounding box ({
INFO:trame_server.utils.namespace: token { P_0x761caa1fde20_31_outline_visibility ? 'on' : 'off' }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_outline_visibility
INFO:trame_server.state:has(P_0x761caa1fde20_31_outline_visibility => P_0x761caa1fde20_31_outline_visibility) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_outline_visibility
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
INFO:trame_server.state:has(? => ?) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token on
INFO:trame_server.state:has(on => on) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token :
INFO:trame_server.state:has(: => :) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token off
INFO:trame_server.state:has(off => off) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_outline_visibility ? 'on' : 'off' }
INFO:trame_server.utils.namespace: token })
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = v-model
INFO:trame_client.widgets.core:before: v-model = P_0x761caa1fde20_31_grid_visibility
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_grid_visibility
INFO:trame_server.state:has(P_0x761caa1fde20_31_grid_visibility => P_0x761caa1fde20_31_grid_visibility) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_grid_visibility
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_grid_visibility
INFO:trame_client.widgets.core:after: v-model = P_0x761caa1fde20_31_grid_visibility
INFO:trame_client.widgets.core:js_key = density
INFO:trame_client.widgets.core:js_key = hideDetails
INFO:trame_client.widgets.core:js_key = falseIcon
INFO:trame_client.widgets.core:js_key = trueIcon
INFO:trame_server.utils.namespace: token Toggle ruler ({
INFO:trame_server.utils.namespace: token { P_0x761caa1fde20_31_grid_visibility ? 'on' : 'off' }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_grid_visibility
INFO:trame_server.state:has(P_0x761caa1fde20_31_grid_visibility => P_0x761caa1fde20_31_grid_visibility) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_grid_visibility
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
INFO:trame_server.state:has(? => ?) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token on
INFO:trame_server.state:has(on => on) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token :
INFO:trame_server.state:has(: => :) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token off
INFO:trame_server.state:has(off => off) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_grid_visibility ? 'on' : 'off' }
INFO:trame_server.utils.namespace: token })
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = v-model
INFO:trame_client.widgets.core:before: v-model = P_0x761caa1fde20_31_axis_visiblity
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_axis_visiblity
INFO:trame_server.state:has(P_0x761caa1fde20_31_axis_visiblity => P_0x761caa1fde20_31_axis_visiblity) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_axis_visiblity
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_axis_visiblity
INFO:trame_client.widgets.core:after: v-model = P_0x761caa1fde20_31_axis_visiblity
INFO:trame_client.widgets.core:js_key = density
INFO:trame_client.widgets.core:js_key = hideDetails
INFO:trame_client.widgets.core:js_key = falseIcon
INFO:trame_client.widgets.core:js_key = trueIcon
INFO:trame_server.utils.namespace: token Toggle axis ({
INFO:trame_server.utils.namespace: token { P_0x761caa1fde20_31_axis_visiblity ? 'on' : 'off' }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_axis_visiblity
INFO:trame_server.state:has(P_0x761caa1fde20_31_axis_visiblity => P_0x761caa1fde20_31_axis_visiblity) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_axis_visiblity
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
INFO:trame_server.state:has(? => ?) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token on
INFO:trame_server.state:has(on => on) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token :
INFO:trame_server.state:has(: => :) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token off
INFO:trame_server.state:has(off => off) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_axis_visiblity ? 'on' : 'off' }
INFO:trame_server.utils.namespace: token })
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = vertical
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = v-model
INFO:trame_client.widgets.core:before: v-model = P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.state:has(P_0x761caa1fde20_31_use_server_rendering => P_0x761caa1fde20_31_use_server_rendering) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_use_server_rendering
INFO:trame_client.widgets.core:after: v-model = P_0x761caa1fde20_31_use_server_rendering
INFO:trame_client.widgets.core:js_key = density
INFO:trame_client.widgets.core:js_key = hideDetails
INFO:trame_client.widgets.core:js_key = falseIcon
INFO:trame_client.widgets.core:js_key = trueIcon
INFO:trame_server.utils.namespace: token Toggle rendering mode ({
INFO:trame_server.utils.namespace: token { P_0x761caa1fde20_31_use_server_rendering ? 'remote' : 'local' }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.state:has(P_0x761caa1fde20_31_use_server_rendering => P_0x761caa1fde20_31_use_server_rendering) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
INFO:trame_server.state:has(? => ?) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token remote
INFO:trame_server.state:has(remote => remote) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token :
INFO:trame_server.state:has(: => :) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token local
INFO:trame_server.state:has(local => local) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_use_server_rendering ? 'remote' : 'local' }
INFO:trame_server.utils.namespace: token })
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = style
INFO:trame_client.widgets.core:js_key = v-show
INFO:trame_client.widgets.core:before: v-show = P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.state:has(P_0x761caa1fde20_31_use_server_rendering => P_0x761caa1fde20_31_use_server_rendering) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_use_server_rendering
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_use_server_rendering
INFO:trame_client.widgets.core:after: v-show = P_0x761caa1fde20_31_use_server_rendering
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = class
INFO:trame_client.widgets.core:js_key = v-model
INFO:trame_client.widgets.core:before: v-model = P_0x761caa1fde20_31_parallel_projection
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_parallel_projection
INFO:trame_server.state:has(P_0x761caa1fde20_31_parallel_projection => P_0x761caa1fde20_31_parallel_projection) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_parallel_projection
INFO:trame_server.utils.namespace: => P_0x761caa1fde20_31_parallel_projection
INFO:trame_client.widgets.core:after: v-model = P_0x761caa1fde20_31_parallel_projection
INFO:trame_client.widgets.core:js_key = density
INFO:trame_client.widgets.core:js_key = hideDetails
INFO:trame_client.widgets.core:js_key = falseIcon
INFO:trame_client.widgets.core:js_key = trueIcon
INFO:trame_server.utils.namespace: token Toggle parallel projection ({
INFO:trame_server.utils.namespace: token { P_0x761caa1fde20_31_parallel_projection ? 'on' : 'off' }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token P_0x761caa1fde20_31_parallel_projection
INFO:trame_server.state:has(P_0x761caa1fde20_31_parallel_projection => P_0x761caa1fde20_31_parallel_projection) = True
INFO:trame_server.utils.namespace:(prefix=None) translated P_0x761caa1fde20_31_parallel_projection
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token ?
INFO:trame_server.state:has(? => ?) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token on
INFO:trame_server.state:has(on => on) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token :
INFO:trame_server.state:has(: => :) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token off
INFO:trame_server.state:has(off => off) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { P_0x761caa1fde20_31_parallel_projection ? 'on' : 'off' }
INFO:trame_server.utils.namespace: token })
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = size
INFO:trame_client.widgets.core:js_key = variant
INFO:trame_client.widgets.core:js_key = icon
INFO:trame_server.utils.namespace:(prefix=None) token utils
INFO:trame_server.state:has(utils => utils) = False
INFO:trame_server.utils.namespace:(prefix=None) token .
INFO:trame_server.state:has(. => .) = False
INFO:trame_server.utils.namespace:(prefix=None) token download
INFO:trame_server.state:has(download => download) = False
INFO:trame_server.utils.namespace:(prefix=None) token (
INFO:trame_server.state:has(( => () = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token screenshot
INFO:trame_server.state:has(screenshot => screenshot) = False
INFO:trame_server.utils.namespace:(prefix=None) token .
INFO:trame_server.state:has(. => .) = False
INFO:trame_server.utils.namespace:(prefix=None) token png
INFO:trame_server.state:has(png => png) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token ,
INFO:trame_server.state:has(, => ,) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token trigger
INFO:trame_server.state:has(trigger => trigger) = False
INFO:trame_server.utils.namespace:(prefix=None) token (
INFO:trame_server.state:has(( => () = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token trigger__1
INFO:trame_server.state:has(trigger__1 => trigger__1) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token )
INFO:trame_server.state:has() => )) = False
INFO:trame_server.utils.namespace:(prefix=None) token ,
INFO:trame_server.state:has(, => ,) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token image
INFO:trame_server.state:has(image => image) = False
INFO:trame_server.utils.namespace:(prefix=None) token /
INFO:trame_server.state:has(/ => /) = False
INFO:trame_server.utils.namespace:(prefix=None) token png
INFO:trame_server.state:has(png => png) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token )
INFO:trame_server.state:has() => )) = False
INFO:trame_server.utils.namespace: => utils.download('screenshot.png', trigger('trigger__1'), 'image/png')
INFO:trame_server.utils.namespace: token mdi-file-png-box
INFO:trame_server.utils.namespace: token Save screenshot
INFO:trame_client.widgets.core:js_key = location
INFO:trame_client.widgets.core:js_key = v-slot:activator
INFO:trame_client.widgets.core:before: v-slot:activator = { props }
INFO:trame_server.utils.namespace:(prefix=None) token {
INFO:trame_server.state:has({ => {) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token }
INFO:trame_server.state:has(} => }) = False
INFO:trame_server.utils.namespace: => { props }
INFO:trame_client.widgets.core:after: v-slot:activator = { props }
INFO:trame_client.widgets.core:js_key = v-bind
INFO:trame_client.widgets.core:before: v-bind = props
INFO:trame_server.utils.namespace:(prefix=None) token props
INFO:trame_server.state:has(props => props) = False
INFO:trame_server.utils.namespace: => props
INFO:trame_client.widgets.core:after: v-bind = props
INFO:trame_client.widgets.core:js_key = size
INFO:trame_client.widgets.core:js_key = variant
INFO:trame_client.widgets.core:js_key = icon
INFO:trame_server.utils.namespace:(prefix=None) token utils
INFO:trame_server.state:has(utils => utils) = False
INFO:trame_server.utils.namespace:(prefix=None) token .
INFO:trame_server.state:has(. => .) = False
INFO:trame_server.utils.namespace:(prefix=None) token download
INFO:trame_server.state:has(download => download) = False
INFO:trame_server.utils.namespace:(prefix=None) token (
INFO:trame_server.state:has(( => () = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token scene
INFO:trame_server.state:has(scene => scene) = False
INFO:trame_server.utils.namespace:(prefix=None) token -
INFO:trame_server.state:has(- => -) = False
INFO:trame_server.utils.namespace:(prefix=None) token export
INFO:trame_server.state:has(export => export) = False
INFO:trame_server.utils.namespace:(prefix=None) token .
INFO:trame_server.state:has(. => .) = False
INFO:trame_server.utils.namespace:(prefix=None) token html
INFO:trame_server.state:has(html => html) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token ,
INFO:trame_server.state:has(, => ,) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token trigger
INFO:trame_server.state:has(trigger => trigger) = False
INFO:trame_server.utils.namespace:(prefix=None) token (
INFO:trame_server.state:has(( => () = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token trigger__2
INFO:trame_server.state:has(trigger__2 => trigger__2) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token )
INFO:trame_server.state:has() => )) = False
INFO:trame_server.utils.namespace:(prefix=None) token ,
INFO:trame_server.state:has(, => ,) = False
INFO:trame_server.utils.namespace:(prefix=None) token
INFO:trame_server.state:has( => ) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token application
INFO:trame_server.state:has(application => application) = False
INFO:trame_server.utils.namespace:(prefix=None) token /
INFO:trame_server.state:has(/ => /) = False
INFO:trame_server.utils.namespace:(prefix=None) token octet
INFO:trame_server.state:has(octet => octet) = False
INFO:trame_server.utils.namespace:(prefix=None) token -
INFO:trame_server.state:has(- => -) = False
INFO:trame_server.utils.namespace:(prefix=None) token stream
INFO:trame_server.state:has(stream => stream) = False
INFO:trame_server.utils.namespace:(prefix=None) token '
INFO:trame_server.state:has(' => ') = False
INFO:trame_server.utils.namespace:(prefix=None) token )
INFO:trame_server.state:has() => )) = False
INFO:trame_server.utils.namespace: => utils.download('scene-export.html', trigger('trigger__2'), 'application/octet-stream')
INFO:trame_server.utils.namespace: token mdi-download
INFO:trame_server.utils.namespace: token Export scene as HTML
INFO:trame_client.widgets.core:js_key = stillRatio
INFO:trame_client.widgets.core:js_key = ref
INFO:trame_client.widgets.core:js_key = interactiveRatio
INFO:trame_client.widgets.core:js_key = stillRatio
DEBUG:pyvista.trame.jupyter:http://localhost:44877/index.html?ui=P_0x761caa1fde20_31&reconnect=auto
Widget(value='<iframe src="http://localhost:44877/index.html?ui=P_0x761caa1fde20_31&reconnect=auto" class="pyv…
References
[1] Detournay, Emmanuel. Mechanics of hydraulic fractures. Annual review of fluid mechanics 48 (2016): 311-339.
[2] Bourdin, Blaise, Chukwudi Chukwudozie, and Keita Yoshioka. A variational approach to the numerical simulation of hydraulic fracturing. In SPE annual technical conference and exhibition. OnePetro, 2012.
[3] Sneddon, Ian Naismith, and Morton Lowengrub. Crack problems in the classical theory of elasticity. 1969, 221 P (1969).
[4] Griffith, Alan Arnold. VI. The phenomena of rupture and flow in solids. Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character 221, no. 582-593 (1921): 163-198.
[5] Yoshioka, Keita, Francesco Parisio, Dmitri Naumov, Renchao Lu, Olaf Kolditz, and Thomas Nagel. Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing. GEM-International Journal on Geomathematics 10, no. 1 (2019): 1-35.
This article was written by Mostafa Mollaali, Keita Yoshioka. If you are missing something or you find an error please let us know.
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Last revision: March 3, 2023