<OpenGeoSysProject>
  <meshes>
    <mesh axially_symmetric="true">restart_w_backfill_1Dq_domain_IC.vtu</mesh>
    <mesh axially_symmetric="true">restart_w_backfill_1Dq_PLY_inner.vtu</mesh>
    <mesh axially_symmetric="true">restart_w_backfill_1Dq_PLY_outer.vtu</mesh>
    <mesh axially_symmetric="true">restart_w_backfill_1Dq_PLY_upper.vtu</mesh>
    <mesh axially_symmetric="true">restart_w_backfill_1Dq_PLY_lower.vtu</mesh>
  </meshes>
  <processes>
    <process>
      <name>RM</name>
      <type>RICHARDS_MECHANICS</type>
      <integration_order>4</integration_order>
      <constitutive_relation id="2">
        <type>LinearElasticIsotropic</type>
        <youngs_modulus>E_Rock</youngs_modulus>
        <poissons_ratio>nu_Rock</poissons_ratio>
      </constitutive_relation>
      <constitutive_relation id="1">
        <type>LinearElasticIsotropic</type>
        <youngs_modulus>E_Rock</youngs_modulus>
        <poissons_ratio>nu_Rock</poissons_ratio>
      </constitutive_relation>
      <constitutive_relation id="0">
        <type>LinearElasticIsotropic</type>
        <youngs_modulus>E_Backfill</youngs_modulus>
        <poissons_ratio>nu_Backfill</poissons_ratio>
      </constitutive_relation>
      <process_variables>
        <pressure>pressure</pressure>
        <displacement>displacement</displacement>
      </process_variables>
      <secondary_variables>
        <secondary_variable name="sigma" />
        <secondary_variable name="swelling_stress" />
        <secondary_variable name="epsilon" />
        <secondary_variable name="velocity" />
        <secondary_variable name="saturation" />
        <secondary_variable name="porosity" />
        <secondary_variable name="transport_porosity" />
        <secondary_variable name="dry_density_solid" />
      </secondary_variables>
      <specific_body_force>0 0</specific_body_force>
    </process>
  </processes>
  <media>
    <medium id="2">
      <phases>
        <phase>
          <type>AqueousLiquid</type>
          <properties>
            <property>
              <name>density</name>
              <type>Linear</type>
              <reference_value>1000</reference_value>
              <independent_variable>
                <variable_name>liquid_phase_pressure</variable_name>
                <reference_condition>12.0e06</reference_condition>
                <slope>4.5e-10</slope>
              </independent_variable>
            </property>
            <property>
              <name>viscosity</name>
              <type>Constant</type>
              <value>1e-3</value>
            </property>
          </properties>
        </phase>
        <phase>
          <type>Solid</type>
          <properties>
            <property>
              <name>density</name>
              <type>Constant</type>
              <value>2700.0</value>
            </property>
          </properties>
        </phase>
      </phases>
      <properties>
        <property>
          <name>permeability</name>
          <type>Constant</type>
          <value>2.77e-20</value>
        </property>
        <property>
          <name>biot_coefficient</name>
          <type>Constant</type>
          <value>.8</value>
        </property>
        <property>
          <name>saturation</name>
          <type>SaturationVanGenuchten</type>
          <residual_liquid_saturation>0.0</residual_liquid_saturation>
          <residual_gas_saturation>0.0</residual_gas_saturation>
          <exponent>0.33333</exponent>
          <p_b>15.0e06</p_b>
        </property>
        <property>
          <name>relative_permeability</name>
          <type>RelativePermeabilityVanGenuchten</type>
          <residual_liquid_saturation>0.0</residual_liquid_saturation>
          <residual_gas_saturation>0.0</residual_gas_saturation>
          <exponent>0.33333</exponent>
          <minimum_relative_permeability_liquid>1.0e-6</minimum_relative_permeability_liquid>
        </property>
        <property>
          <name>porosity</name>
          <type>Constant</type>
          <value>0.18</value>
        </property>
        <property>
          <name>bishops_effective_stress</name>
          <type>BishopsSaturationCutoff</type>
          <cutoff_value>1.0</cutoff_value>
        </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>density</name>
              <type>Linear</type>
              <reference_value>1000</reference_value>
              <independent_variable>
                <variable_name>liquid_phase_pressure</variable_name>
                <reference_condition>12.0e06</reference_condition>
                <slope>4.5e-10</slope>
              </independent_variable>
            </property>
            <property>
              <name>viscosity</name>
              <type>Constant</type>
              <value>1e-3</value>
            </property>
          </properties>
        </phase>
        <phase>
          <type>Solid</type>
          <properties>
            <property>
              <name>density</name>
              <type>Constant</type>
              <value>2700.0</value>
            </property>
          </properties>
        </phase>
      </phases>
      <properties>
        <property>
          <name>permeability</name>
          <type>Constant</type>
          <value>2.77e-18</value>
        </property>
        <property>
          <name>biot_coefficient</name>
          <type>Constant</type>
          <value>1.0</value>
        </property>
        <property>
          <name>saturation</name>
          <type>SaturationVanGenuchten</type>
          <residual_liquid_saturation>0.0</residual_liquid_saturation>
          <residual_gas_saturation>0.0</residual_gas_saturation>
          <exponent>0.375</exponent>
          <p_b>4.5e06</p_b>
        </property>
        <property>
          <name>relative_permeability</name>
          <type>RelativePermeabilityVanGenuchten</type>
          <residual_liquid_saturation>0.0</residual_liquid_saturation>
          <residual_gas_saturation>0.0</residual_gas_saturation>
          <exponent>0.375</exponent>
          <minimum_relative_permeability_liquid>1.0e-6</minimum_relative_permeability_liquid>
        </property>
        <property>
          <name>porosity</name>
          <type>Constant</type>
          <value>0.18</value>
        </property>
        <property>
          <name>bishops_effective_stress</name>
          <type>BishopsSaturationCutoff</type>
          <cutoff_value>1.0</cutoff_value>
        </property>
        <property>
          <name>reference_temperature</name>
          <type>Constant</type>
          <value>293.15</value>
        </property>
      </properties>
    </medium>
    <medium id="0">
      <phases>
        <phase>
          <type>AqueousLiquid</type>
          <properties>
            <property>
              <name>density</name>
              <type>Linear</type>
              <reference_value>1000</reference_value>
              <independent_variable>
                <variable_name>liquid_phase_pressure</variable_name>
                <reference_condition>12.0e06</reference_condition>
                <slope>4.5e-10</slope>
              </independent_variable>
            </property>
            <property>
              <name>viscosity</name>
              <type>Constant</type>
              <value>1e-3</value>
            </property>
          </properties>
        </phase>
        <phase>
          <type>Solid</type>
          <properties>
            <property>
              <name>density</name>
              <type>Constant</type>
              <value>2700.0</value>
            </property>
          </properties>
        </phase>
      </phases>
      <properties>
        <property>
          <name>permeability</name>
          <type>Constant</type>
          <value>2.0e-19</value>
        </property>
        <property>
          <name>biot_coefficient</name>
          <type>Constant</type>
          <value>1.0</value>
        </property>
        <property>
          <name>saturation</name>
          <type>SaturationVanGenuchten</type>
          <residual_liquid_saturation>0.0</residual_liquid_saturation>
          <residual_gas_saturation>0.0</residual_gas_saturation>
          <exponent>0.2592592592592593</exponent>
          <p_b>9.7e06</p_b>
        </property>
        <property>
          <name>relative_permeability</name>
          <type>RelativePermeabilityVanGenuchten</type>
          <residual_liquid_saturation>0.0</residual_liquid_saturation>
          <residual_gas_saturation>0.0</residual_gas_saturation>
          <exponent>0.2592592592592593</exponent>
          <minimum_relative_permeability_liquid>1.0e-6</minimum_relative_permeability_liquid>
        </property>
        <property>
          <name>porosity</name>
          <type>Constant</type>
          <value>0.3</value>
        </property>
        <property>
          <name>bishops_effective_stress</name>
          <type>BishopsSaturationCutoff</type>
          <cutoff_value>1.0</cutoff_value>
        </property>
        <property>
          <name>reference_temperature</name>
          <type>Constant</type>
          <value>293.15</value>
        </property>
      </properties>
    </medium>
  </media>
  <time_loop>
    <processes>
      <process ref="RM">
        <nonlinear_solver>basic_newton</nonlinear_solver>
        <convergence_criterion>
          <type>PerComponentDeltaX</type>
          <norm_type>NORM2</norm_type>
          <abstols>1.0e2 1.0e-6 1.0e-6</abstols>
          <reltols>4.0e-6 1.0e-7 1.0e-7</reltols>
        </convergence_criterion>
        <time_discretization>
          <type>BackwardEuler</type>
        </time_discretization>
        <time_stepping>
          <type>IterationNumberBasedTimeStepping</type>
          <t_initial>10000.0</t_initial>
          <t_end>60000</t_end>
          <initial_dt>3500</initial_dt>
          <minimum_dt>1800</minimum_dt>
          <maximum_dt>1.0e7</maximum_dt>
          <number_iterations>1 8 20 25</number_iterations>
          <multiplier>1.1 1 0.95 0.75</multiplier>
        </time_stepping>
      </process>
    </processes>
    <outputs>
      <output>
        <type>VTK</type>
        <prefix>restart_w_backfill</prefix>
        <suffix>ts{:0>3timestep}_t_{:time}</suffix>
        <timesteps>
          <pair>
            <repeat>1</repeat>
            <each_steps>5</each_steps>
          </pair>
        </timesteps>
        <variables />
      </output>
    </outputs>
  </time_loop>
  <parameters>
    <parameter>
      <name>E_Rock</name>
      <type>Constant</type>
      <value>5.24e9</value>
    </parameter>
    <parameter>
      <name>nu_Rock</name>
      <type>Constant</type>
      <value>0.26</value>
    </parameter>
    <parameter>
      <name>E_Backfill</name>
      <type>Constant</type>
      <value>0.5e9</value>
    </parameter>
    <parameter>
      <name>nu_Backfill</name>
      <type>Constant</type>
      <value>0.3</value>
    </parameter>
    <parameter>
      <name>displacement_ic</name>
      <type>MeshNode</type>
      <field_name>displacement</field_name>
    </parameter>
    <parameter>
      <name>displacement0</name>
      <type>Constant</type>
      <values>0 0</values>
    </parameter>
    <parameter>
      <name>zero</name>
      <type>Constant</type>
      <value>0</value>
    </parameter>
    <parameter>
      <name>one</name>
      <type>Constant</type>
      <value>1.0</value>
    </parameter>
    <parameter>
      <name>pressure_bc</name>
      <type>Constant</type>
      <value>4.7e06</value>
    </parameter>
    <parameter>
      <name>pressure_ic</name>
      <type>MeshNode</type>
      <field_name>p0</field_name>
    </parameter>
  </parameters>
  <process_variables>
    <process_variable>
      <name>displacement</name>
      <components>2</components>
      <order>2</order>
      <compensate_non_equilibrium_initial_residuum>false</compensate_non_equilibrium_initial_residuum>
      <initial_condition>displacement_ic</initial_condition>
      <boundary_conditions>
        <boundary_condition>
          <mesh>restart_w_backfill_1Dq_PLY_inner</mesh>
          <type>Dirichlet</type>
          <component>0</component>
          <parameter>zero</parameter>
        </boundary_condition>
        <boundary_condition>
          <mesh>restart_w_backfill_1Dq_PLY_outer</mesh>
          <type>Dirichlet</type>
          <component>0</component>
          <parameter>zero</parameter>
        </boundary_condition>
        <boundary_condition>
          <mesh>restart_w_backfill_1Dq_PLY_upper</mesh>
          <component>1</component>
          <type>Dirichlet</type>
          <parameter>zero</parameter>
        </boundary_condition>
        <boundary_condition>
          <mesh>restart_w_backfill_1Dq_PLY_lower</mesh>
          <component>1</component>
          <type>Dirichlet</type>
          <parameter>zero</parameter>
        </boundary_condition>
      </boundary_conditions>
    </process_variable>
    <process_variable>
      <name>pressure</name>
      <components>1</components>
      <order>1</order>
      <initial_condition>pressure_ic</initial_condition>
      <boundary_conditions>
        <boundary_condition>
          <mesh>restart_w_backfill_1Dq_PLY_outer</mesh>
          <type>Dirichlet</type>
          <component>0</component>
          <parameter>pressure_bc</parameter>
        </boundary_condition>
      </boundary_conditions>
    </process_variable>
  </process_variables>
  <nonlinear_solvers>
    <nonlinear_solver>
      <name>basic_newton</name>
      <type>Newton</type>
      <max_iter>25</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>true</scaling>
      </eigen>
    </linear_solver>
  </linear_solvers>
  <test_definition>
    <vtkdiff>
      <regex>restart_w_backfill_ts_.*.vtu</regex>
      <field>pressure_interpolated</field>
      <absolute_tolerance>2e-7</absolute_tolerance>
      <relative_tolerance>1e-14</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>restart_w_backfill_ts_.*.vtu</regex>
      <field>displacement</field>
      <absolute_tolerance>1e-14</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>restart_w_backfill_ts_.*.vtu</regex>
      <field>stress_avg</field>
      <absolute_tolerance>2.6e-7</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
  </test_definition>
</OpenGeoSysProject>