OGS
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<OpenGeoSysProject>
<mesh>single_fracture_2x2_mesh2.vtu</mesh>
<geometry>single_fracture_2x2.gml</geometry>
<processes>
<process>
<name>HM</name>
<type>HYDRO_MECHANICS_WITH_LIE</type>
<integration_order>3</integration_order>
<process_variables>
<process_variable>pressure</process_variable>
<process_variable>displacement</process_variable>
<process_variable>displacement_jump1</process_variable>
</process_variables>
<constitutive_relation>
<type>LinearElasticIsotropic</type>
<youngs_modulus>E</youngs_modulus>
<poissons_ratio>nu</poissons_ratio>
</constitutive_relation>
<specific_body_force>0 0</specific_body_force>
<initial_effective_stress>effective_stress0</initial_effective_stress>
<fracture_model>
<type>CohesiveZoneModeI</type>
<normal_stiffness>Kn</normal_stiffness>
<shear_stiffness>Ks</shear_stiffness>
<fracture_toughness>Gc</fracture_toughness>
<peak_normal_traction>t_np</peak_normal_traction>
<penalty_aperture_cutoff>1e-8</penalty_aperture_cutoff>
<tension_cutoff>1</tension_cutoff>
</fracture_model>
<fracture_properties>
<initial_aperture>aperture0</initial_aperture>
</fracture_properties>
<initial_fracture_effective_stress>fracture_effective_stress0</initial_fracture_effective_stress>
<deactivate_matrix_in_flow>true</deactivate_matrix_in_flow>
<secondary_variables>
<secondary_variable internal_name="sigma" output_name="sigma" />
<secondary_variable internal_name="epsilon" output_name="epsilon" />
<secondary_variable internal_name="velocity" output_name="velocity" />
<secondary_variable internal_name="fracture_velocity" output_name="fracture_velocity" />
<secondary_variable internal_name="fracture_permeability" output_name="fracture_permeability" />
<secondary_variable internal_name="fracture_stress" output_name="fracture_stress" />
<secondary_variable internal_name="fracture_aperture" output_name="fracture_aperture" />
</secondary_variables>
</process>
</processes>
<time_loop>
<processes>
<process ref="HM">
<nonlinear_solver>basic_newton</nonlinear_solver>
<convergence_criterion>
<type>PerComponentResidual</type>
<norm_type>NORM2</norm_type>
<abstols>1e-18 1e-7 1e-5 1e-8 1e-6</abstols>
</convergence_criterion>
<time_discretization>
<type>BackwardEuler</type>
</time_discretization>
<time_stepping>
<type>FixedTimeStepping</type>
<t_initial>0</t_initial>
<t_end>10000</t_end>
<timesteps>
<pair>
<repeat>300</repeat>
<delta_t>0.1</delta_t>
</pair>
<pair>
<repeat>10</repeat>
<delta_t>1</delta_t>
</pair>
<pair>
<repeat>1</repeat>
<delta_t>10</delta_t>
</pair>
</timesteps>
</time_stepping>
</process>
</processes>
<output>
<type>VTK</type>
<prefix>out_single_fracture_CZ_kf_cubic</prefix>
<timesteps>
<pair>
<repeat>1</repeat>
<each_steps>1306</each_steps>
</pair>
<pair>
<repeat>1</repeat>
<each_steps>100</each_steps>
</pair>
</timesteps>
<variables>
<variable>pressure</variable>
<variable>displacement</variable>
<variable>displacement_jump1</variable>
<variable>pressure_interpolated</variable>
<variable>sigma</variable>
<variable>epsilon</variable>
<variable>velocity</variable>
<variable>fracture_stress</variable>
<variable>fracture_velocity</variable>
<variable>fracture_permeability</variable>
<variable>fracture_aperture</variable>
<variable>sigma_avg</variable>
<variable>velocity_avg</variable>
<variable>local_jump_w_avg</variable>
<variable>fracture_velocity_avg</variable>
<variable>fracture_stress_avg</variable>
<variable>fracture_aperture_avg</variable>
<variable>fracture_permeability_avg</variable>
</variables>
<suffix>ts{:timestep}_t_{:time}</suffix>
</output>
</time_loop>
<media>
<medium id="0">
<phases>
<phase>
<type>AqueousLiquid</type>
<properties>
<property>
<name>viscosity</name>
<type>Parameter</type>
<parameter_name>mu</parameter_name>
</property>
<property>
<name>density</name>
<type>Parameter</type>
<parameter_name>rho_fr</parameter_name>
</property>
</properties>
</phase>
<phase>
<type>Solid</type>
<properties>
<property>
<name>density</name>
<type>Parameter</type>
<parameter_name>rho_sr</parameter_name>
</property>
</properties>
</phase>
</phases>
<properties>
<property>
<name>permeability</name>
<type>Parameter</type>
<parameter_name>k</parameter_name>
</property>
<property>
<name>porosity</name>
<type>Parameter</type>
<parameter_name>phi</parameter_name>
</property>
<property>
<name>storage</name>
<type>Parameter</type>
<parameter_name>S</parameter_name>
</property>
<property>
<name>biot_coefficient</name>
<type>Parameter</type>
<parameter_name>biot_m</parameter_name>
</property>
<property>
<name>reference_temperature</name>
<type>Constant</type>
<value>293.15</value>
</property>
</properties>
</medium>
<medium id="1">
<phases>
<phase>
<type>AqueousLiquid</type>
<properties>
<property>
<name>viscosity</name>
<type>Parameter</type>
<parameter_name>mu</parameter_name>
</property>
<property>
<name>density</name>
<type>Parameter</type>
<parameter_name>rho_fr</parameter_name>
</property>
</properties>
</phase>
<phase>
<type>Solid</type>
<properties>
<property>
<name>density</name>
<type>Parameter</type>
<parameter_name>rho_sr</parameter_name>
</property>
</properties>
</phase>
</phases>
<properties>
<property>
<name>permeability</name>
<type>CubicLawPermeability</type>
</property>
<property>
<name>storage</name>
<type>Parameter</type>
<parameter_name>S_f</parameter_name>
</property>
<property>
<name>biot_coefficient</name>
<type>Parameter</type>
<parameter_name>biot_f</parameter_name>
</property>
<property>
<name>reference_temperature</name>
<type>Constant</type>
<value>293.15</value>
</property>
</properties>
</medium>
</media>
<parameters>
<parameter>
<name>rho_fr</name>
<type>Constant</type>
<value>1e3</value>
</parameter>
<parameter>
<name>mu</name>
<type>Constant</type>
<value>1e-3</value>
</parameter>
<parameter>
<name>rho_sr</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>phi</name>
<type>Constant</type>
<value>1e-3</value>
</parameter>
<parameter>
<name>k</name>
<type>Constant</type>
<value>1e-17</value>
</parameter>
<parameter>
<name>S</name>
<type>Constant</type>
<value>1</value>
</parameter>
<parameter>
<name>biot_m</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>E</name>
<type>Constant</type>
<value>1e9</value>
</parameter>
<parameter>
<name>nu</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>aperture0</name>
<type>Constant</type>
<value>1e-5</value>
</parameter>
<parameter>
<name>S_f</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>biot_f</name>
<type>Constant</type>
<value>1</value>
</parameter>
<parameter>
<name>Kn</name>
<type>Constant</type>
<value>1e9</value>
</parameter>
<parameter>
<name>Ks</name>
<type>Constant</type>
<value>1e8</value>
</parameter>
<parameter>
<name>Gc</name>
<type>Constant</type>
<value>4</value>
</parameter>
<parameter>
<name>t_np</name>
<type>Constant</type>
<value>5.0e4</value>
</parameter>
<parameter>
<name>p0</name>
<type>Constant</type>
<values>0</values>
</parameter>
<parameter>
<name>p_in</name>
<type>Constant</type>
<values>1E5</values>
</parameter>
<parameter>
<name>p_out</name>
<type>Constant</type>
<values>0</values>
</parameter>
<parameter>
<name>displacement0</name>
<type>Constant</type>
<values>0 0</values>
</parameter>
<parameter>
<name>effective_stress0</name>
<type>Constant</type>
<values>0.0 0.0 0.0 0</values>
</parameter>
<parameter>
<name>fracture_effective_stress0</name>
<type>Constant</type>
<values>0 0.0</values>
</parameter>
<parameter>
<name>zero_u</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>load_top</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>load_bottom</name>
<type>Constant</type>
<value>1e5</value>
</parameter>
</parameters>
<process_variables>
<process_variable>
<name>pressure</name>
<components>1</components>
<order>1</order>
<initial_condition>p0</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>InjectionPoint</geometry>
<type>Dirichlet</type>
<parameter>p_in</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>OutletPoint</geometry>
<type>Dirichlet</type>
<parameter>p_out</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
<process_variable>
<name>displacement</name>
<components>2</components>
<order>2</order>
<initial_condition>displacement0</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>PLY_SOUTH</geometry>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero_u</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>PLY_WEST</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero_u</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>PLY_EAST</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero_u</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>PLY_NORTH</geometry>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero_u</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
<process_variable>
<name>displacement_jump1</name>
<components>2</components>
<order>2</order>
<initial_condition>displacement0</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>InjectionPoint</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero_u</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>single_fracture</geometrical_set>
<geometry>OutletPoint</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero_u</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
</process_variables>
<nonlinear_solvers>
<nonlinear_solver>
<name>basic_newton</name>
<type>Newton</type>
<max_iter>100</max_iter>
<linear_solver>general_linear_solver</linear_solver>
</nonlinear_solver>
</nonlinear_solvers>
<linear_solvers>
<linear_solver>
<name>general_linear_solver</name>
<eigen>
<solver_type>SparseLU</solver_type>
<scaling>1</scaling>
</eigen>
</linear_solver>
</linear_solvers>
<test_definition>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>displacement</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>pressure_interpolated</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>1e-12</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>displacement_jump1</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>1e-12</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>sigma</field>
<absolute_tolerance>1.e-8</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>epsilon</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>velocity</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_stress</field>
<absolute_tolerance>1.e-10</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_velocity</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_permeability</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_aperture</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>sigma_avg</field>
<absolute_tolerance>1.e-9</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>velocity_avg</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>local_jump_w_avg</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_velocity_avg</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_stress_avg</field>
<absolute_tolerance>1.e-10</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_aperture_avg</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
<vtkdiff>
<regex>out_single_fracture_CZ_kf_cubic_.*.vtu</regex>
<field>fracture_permeability_avg</field>
<absolute_tolerance>1.e-12</absolute_tolerance>
<relative_tolerance>1.e-11</relative_tolerance>
</vtkdiff>
</test_definition>
</OpenGeoSysProject>