1. Reference problem#

1.1. Geometry#

The field studied is a horizontal semi-infinite medium. In practice it measures \(\mathrm{3m}\).

C

_images/Shape1.gif

D

B

A

Coordinates of the points (\(m\)):

\(A\)

0

0

0

\(C\)

3

0.1

\(B\)

3

0

0

\(D\)

0

0.1

1.2. Material properties#

We only give here the properties on which the solution depends, knowing that the command file contains other material data (elasticity modules,…) which ultimately play no role in the solution of the problem at hand.

Liquid water

Density (

\({\mathit{kg.m}}^{\mathrm{-}3}\)

)

Viscosity

1000

1

Homogenized parameters

Permeability

\(K\)

Porosity Sorption isothermal Relative permeability

\(\mathrm{1,625E-5}m\mathrm{/}s\)

0.3

_images/Object_1.svg _images/Object_2.svg

Initial state

Pressure

_images/Object_3.svg

1.3. Boundary and initial conditions#

They are expressed on capillary pressure:

_images/Object_4.svg _images/Object_5.svg

and

_images/Object_6.svg

We are in Richards” condition:

_images/Object_7.svg