Modeling A
==============


Characteristics of modeling A
-------------------------------------

The modeling studied is HHDen plane deformations. The mesh is composed of 80 Q8 elements.


Tested features
-----------------------

This modeling makes it possible in particular to verify the use of the time function PESA_MULT introduced in the map THM_DIFFU. This function is added as a factor of the terms PESA_X, PESA_Y, and PESA_Z, and makes it possible to make gravity dependent on time.


Results
---------

The figures below show the profiles of capillary pressures, gas pressures and saturation along the bar for various times. We can clearly observe the rebalancing to reach a steady state (nothing moves after :math:`\mathrm{0,5}s`).

In this stationary state and in :math:`\mathrm{Pa}`:

:math:`\mathrm{Pgz}(x=0)=\mathrm{0,991}\mathrm{Pa}` and :math:`\mathrm{Pgz}(x=3)=\mathrm{1,014}\mathrm{Pa}`

:math:`\mathrm{Pc}(x=0)=\mathrm{22,8}\mathrm{Pa}` and :math:`\mathrm{Pc}(x=3)=-\mathrm{6,62}\mathrm{Pa}`

This gives :math:`{\mathrm{\Delta P}}_{\text{lq}}=\mathrm{29,44}\mathrm{Pa}` which corresponds well to the hydrostatic balance.


.. image:: images/10000201000001EB000001132E91440218C6DF73.png
    :width: 5.1409in
    :height: 2.8618in


.. _RefImage_10000201000001EB000001132E91440218C6DF73.png:

**Figure** 2.3-a **: capillary pressure profiles**


.. image:: images/10000201000001EB00000113D79BBEB50291E5F9.png
    :width: 5.1409in
    :height: 2.8618in


.. _RefImage_10000201000001EB00000113D79BBEB50291E5F9.png:

**Figure** 2.3-b **: gas pressure profiles**


.. image:: images/10000201000001F70000015703D40A4673833E1B.png
    :width: 5.2654in
    :height: 3.5689in


.. _RefImage_10000201000001F70000015703D40A4673833E1B.png:

**Figure** 2.3-c **: saturation profiles**


Tested value
-------------


.. csv-table::

    ":math:`X(m)` ", "Time :math:`(s)` "," PRE1Aster :math:`(\mathrm{Pa})` ", "Relative error allowed"
    "0. ", "0.02", "13.94"," 0.1%"
    "0. ", "0.1", "21.92"," 0.1%"
    "0. ", "1", "22.79"," 0.1%"