.. _V7.31.113:

**v7.31.113** WTNV113 — Gravity flow in a saturated porous medium
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**Summary:**

This test consists in studying the influence of a gravity flow on the distribution of the pressure of the fluid in the saturated medium. It is an evolving problem. The hydraulic behavior of a porous medium saturated by a single liquid is studied

Eleven models are carried out: four two-dimensional models (models A, B: elements HM_DPQ8, models E, F: elements THM_DPQ8) and seven three-dimensional models (models C and D: elements HM_HEXA20, models G and H: elements, models G and H: elements, G and H: elements, G and H: elements, elements, E, F: elements) and seven three-dimensional models (models C and D: elements, G and H: elements, models G and H: elements, G and H: elements), elements THM_HEXA20, I: THM_HEXA20D and J: THM_HEXA20S, K: THM_HEXA20S_DIL)

The distinction between models A and B (respectively C and D, E and F, G and H) lies in the law of fluid behavior.

The I and J models are variants in selective and lumped modeling of G, they have results that differ from the proposed analytical solution (the integration is different), and are therefore non-regressive.

K modeling aims to verify the use of the second 3D gradient model_ THMS (similar to J modeling). So it's a non-regression test.

The reference solution is one-dimensional because it only depends on the vertical coordinate.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Mod_lisation_D
    Mod_lisation_E
    Mod_lisation_F
    Mod_lisation_G
    Mod_lisation_H
    Mod_lisation_I
    Mod_lisation_J
    Mod_lisation_K

    Synth_se_des_r_sultats