<OpenGeoSysProject>
  <meshes>
    <mesh axially_symmetric="true">liakopoulos.vtu</mesh>
    <mesh axially_symmetric="true">liakopoulos_left.vtu</mesh>
    <mesh axially_symmetric="true">liakopoulos_right.vtu</mesh>
    <mesh axially_symmetric="true">liakopoulos_top.vtu</mesh>
    <mesh axially_symmetric="true">liakopoulos_bottom.vtu</mesh>
  </meshes>
  <processes>
    <process>
      <name>RM</name>
      <type>RICHARDS_MECHANICS</type>
      <integration_order>3</integration_order>
      <jacobian_assembler>
        <type>CentralDifferences</type>
        <component_magnitudes>1</component_magnitudes>
        <relative_epsilons>1e-8</relative_epsilons>
      </jacobian_assembler>
      <mass_lumping>true</mass_lumping>
      <constitutive_relation>
        <type>LinearElasticIsotropic</type>
        <youngs_modulus>E</youngs_modulus>
        <poissons_ratio>nu</poissons_ratio>
      </constitutive_relation>
      <process_variables>
        <displacement>displacement</displacement>
        <pressure>pressure</pressure>
      </process_variables>
      <secondary_variables>
        <secondary_variable name="sigma" />
        <secondary_variable name="epsilon" />
        <secondary_variable name="velocity" />
        <secondary_variable name="saturation" />
      </secondary_variables>
      <specific_body_force>0 -9.81</specific_body_force>
      <initial_stress>Initial_stress</initial_stress>
    </process>
  </processes>
  <media>
    <medium>
      <phases>
        <phase>
          <type>AqueousLiquid</type>
          <properties>
            <property>
              <name>viscosity</name>
              <type>Constant</type>
              <value>1e-3</value>
            </property>
            <property>
              <name>density</name>
              <type>Linear</type>
              <reference_value>1e3</reference_value>
              <independent_variable>
                <variable_name>liquid_phase_pressure</variable_name>
                <reference_condition>0</reference_condition>
                <slope>5e-10</slope>
              </independent_variable>
            </property>
          </properties>
        </phase>
        <phase>
          <type>Solid</type>
          <properties>
            <property>
              <name>density</name>
              <type>Constant</type>
              <value>2e3</value>
            </property>
            <property>
              <name>bulk_modulus</name>
              <type>Constant</type>
              <value>1e12</value>
            </property>
          </properties>
        </phase>
      </phases>
      <properties>
        <property>
          <name>biot_coefficient</name>
          <type>Constant</type>
          <value>1</value>
        </property>
        <property>
          <name>porosity</name>
          <type>Constant</type>
          <value>0.2975</value>
        </property>
        <property>
          <name>permeability</name>
          <type>Constant</type>
          <value>4.5e-13</value>
        </property>
        <property>
          <name>saturation</name>
          <type>SaturationLiakopoulos</type>
        </property>
        <property>
          <name>relative_permeability</name>
          <type>Curve</type>
          <independent_variable>liquid_saturation</independent_variable>
          <curve>k_rel</curve>
        </property>
        <property>
          <name>bishops_effective_stress</name>
          <type>BishopsPowerLaw</type>
          <exponent>1</exponent>
        </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>1e-8 1e-10 1e-10</abstols>
        </convergence_criterion>
        <time_discretization>
          <type>BackwardEuler</type>
        </time_discretization>
        <time_stepping>
          <type>FixedTimeStepping</type>
          <t_initial>0.0</t_initial>
          <t_end>7200</t_end>
          <timesteps>
            <pair>
              <repeat>1</repeat>
              <delta_t>0.06</delta_t>
            </pair>
            <pair>
              <repeat>9</repeat>
              <delta_t>1</delta_t>
            </pair>
            <pair>
              <repeat>5</repeat>
              <delta_t>10</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>0.94</delta_t>
            </pair>
            <pair>
              <repeat>3</repeat>
              <delta_t>10</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>30</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>100</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>80</delta_t>
            </pair>
            <pair>
              <repeat>9</repeat>
              <delta_t>100</delta_t>
            </pair>
            <pair>
              <repeat>2</repeat>
              <delta_t>200</delta_t>
            </pair>
            <pair>
              <repeat>3</repeat>
              <delta_t>400</delta_t>
            </pair>
            <pair>
              <repeat>3</repeat>
              <delta_t>600</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>200</delta_t>
            </pair>
            <pair>
              <repeat>3</repeat>
              <delta_t>600</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>0.06</delta_t>
            </pair>
            <pair>
              <repeat>9</repeat>
              <delta_t>1</delta_t>
            </pair>
            <pair>
              <repeat>5</repeat>
              <delta_t>10</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>0.94</delta_t>
            </pair>
            <pair>
              <repeat>3</repeat>
              <delta_t>10</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>30</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>100</delta_t>
            </pair>
            <pair>
              <repeat>1</repeat>
              <delta_t>80</delta_t>
            </pair>
            <pair>
              <repeat>3</repeat>
              <delta_t>100</delta_t>
            </pair>
          </timesteps>
        </time_stepping>
      </process>
    </processes>
    <output>
      <type>VTK</type>
      <prefix>{:meshname}_QN</prefix>
      <suffix>t{:gtime}</suffix>
      <timesteps>
        <pair>
          <repeat>500</repeat>
          <each_steps>10</each_steps>
        </pair>
      </timesteps>
      <variables>
        <variable>displacement</variable>
        <variable>pressure</variable>
        <variable>sigma</variable>
        <variable>epsilon</variable>
        <variable>velocity</variable>
        <variable>saturation</variable>
        <variable>MassFlowRate</variable>
        <variable>NodalForces</variable>
        <variable>pressure_interpolated</variable>
      </variables>
      <fixed_output_times>0.06
                60.
                120.
                300.0
                600.0
                1200.0
                2400.0
                4800.0
                6000.0
                7200.0</fixed_output_times>
    </output>
  </time_loop>
  <parameters>
    <parameter>
      <mesh>liakopoulos</mesh>
      <name>Initial_stress</name>
      <type>Function</type>
      <expression>0</expression>
      <expression>-((1-0.2975)*2e3+0.2975*1e3)*9.81*(1-y)</expression>
      <expression>0</expression>
      <expression>0</expression>
    </parameter>
    <parameter>
      <name>E</name>
      <type>Constant</type>
      <value>1.3e6</value>
    </parameter>
    <parameter>
      <name>nu</name>
      <type>Constant</type>
      <value>0.4</value>
    </parameter>
    <parameter>
      <name>displacement_ic</name>
      <type>Constant</type>
      <values>0 0</values>
    </parameter>
    <parameter>
      <name>pressure_ic</name>
      <type>Constant</type>
      <value>0.0</value>
    </parameter>
    <parameter>
      <name>pressure_bc</name>
      <type>Constant</type>
      <value>0.0</value>
    </parameter>
    <parameter>
      <name>dirichlet</name>
      <type>Constant</type>
      <value>0</value>
    </parameter>
  </parameters>
  <curves>
    <curve>
      <name>k_rel</name>
      <coords>0.2
                0.528
                0.536
                0.544
                0.552
                0.56
                0.568
                0.576
                0.584
                0.592
                0.6
                0.608
                0.616
                0.624
                0.632
                0.64
                0.648
                0.656
                0.664
                0.672
                0.68
                0.688
                0.696
                0.704
                0.712
                0.72
                0.728
                0.736
                0.744
                0.752
                0.76
                0.768
                0.776
                0.784
                0.792
                0.8
                0.808
                0.816
                0.824
                0.832
                0.84
                0.848
                0.856
                0.864
                0.872
                0.88
                0.888
                0.896
                0.904
                0.912
                0.92
                0.928000000000001
                0.936000000000001
                0.944000000000001
                0.952000000000001
                0.960000000000001
                0.968000000000001
                0.976000000000001
                0.984000000000001
                0.992000000000001
                1</coords>
      <values>0.0
                0.0
                0.0
                0.003125124673949
                0.020823885169721
                0.038518821680155
                0.056209865519575
                0.073896945473639
                0.091579987656767
                0.109258915358633
                0.126933648878653
                0.144604105347267
                0.162270198532675
                0.179931838631514
                0.197588932041764
                0.215241381115967
                0.232889083892571
                0.250531933802915
                0.268169819351031
                0.285802623763035
                0.303430224602408
                0.3210524933469
                0.338669294922165
                0.356280487186422
                0.373885920359564
                0.391485436388984
                0.409078868243118
                0.426666039122081
                0.444246761572863
                0.461820836494194
                0.479388052013308
                0.496948182213303
                0.514500985685365
                0.532046203874627
                0.549583559181513
                0.56711275277159
                0.584633462035706
                0.602145337627643
                0.619647999987513
                0.637141035234136
                0.654623990276238
                0.672096366947284
                0.689557614907064
                0.707007122967474
                0.724444208378889
                0.741868103439419
                0.759277938533726
                0.776672720324285
                0.79405130322659
                0.811412351361665
                0.828754286640385
                0.846075216009299
                0.863372826201009
                0.880644225491632
                0.897885694137663
                0.915092266056643
                0.932256968686883
                0.949369276790233
                0.966411379494378
                0.983345955951454
                1</values>
    </curve>
  </curves>
  <process_variables>
    <process_variable>
      <name>pressure</name>
      <components>1</components>
      <order>1</order>
      <initial_condition>pressure_ic</initial_condition>
      <boundary_conditions>
        <boundary_condition>
          <mesh>liakopoulos_bottom</mesh>
          <type>Dirichlet</type>
          <parameter>pressure_bc</parameter>
        </boundary_condition>
      </boundary_conditions>
    </process_variable>
    <process_variable>
      <name>displacement</name>
      <components>2</components>
      <order>2</order>
      <initial_condition>displacement_ic</initial_condition>
      <boundary_conditions>
        <boundary_condition>
          <mesh>liakopoulos_left</mesh>
          <type>Dirichlet</type>
          <component>0</component>
          <parameter>dirichlet</parameter>
        </boundary_condition>
        <boundary_condition>
          <mesh>liakopoulos_right</mesh>
          <type>Dirichlet</type>
          <component>0</component>
          <parameter>dirichlet</parameter>
        </boundary_condition>
        <boundary_condition>
          <mesh>liakopoulos_bottom</mesh>
          <type>Dirichlet</type>
          <component>1</component>
          <parameter>dirichlet</parameter>
        </boundary_condition>
      </boundary_conditions>
    </process_variable>
  </process_variables>
  <nonlinear_solvers>
    <nonlinear_solver>
      <name>basic_newton</name>
      <type>Newton</type>
      <max_iter>50</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>liakopoulos_QN_t_.*.vtu</regex>
      <field>MassFlowRate</field>
      <absolute_tolerance>2e-14</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>NodalForces</field>
      <absolute_tolerance>2e-8</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>displacement</field>
      <absolute_tolerance>1e-15</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>epsilon</field>
      <absolute_tolerance>1e-15</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>pressure</field>
      <absolute_tolerance>9e-10</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>pressure_interpolated</field>
      <absolute_tolerance>9e-10</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>saturation</field>
      <absolute_tolerance>2e-14</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>sigma</field>
      <absolute_tolerance>2e-9</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
    <vtkdiff>
      <regex>liakopoulos_QN_t_.*.vtu</regex>
      <field>velocity</field>
      <absolute_tolerance>1e-15</absolute_tolerance>
      <relative_tolerance>0</relative_tolerance>
    </vtkdiff>
  </test_definition>
</OpenGeoSysProject>