1. Reference problem#

1.1. Geometry#

C

D

(0; 0)

B

A

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

\(A\)

-0,1

-0,1

-0,1

\(C\)

0,1

0,1

\(B\)

0.1

-0,1

-0,1

\(D\)

-0,1

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

1 1

Homogenized parameters

Intrinsic permeability (component in \(X\)) Intrinsic permeability (component in \(Y\)) Intrinsic permeability (component in \(Z\))

1 3/4 1

Initial state

Porosity Liquid pressure

1 0

1.3. Boundary conditions and loads#

On \(\mathit{AB}\) \(P\mathrm{=}P(X)\mathrm{=}\mathrm{-}\mathrm{45X}+30.5\)

On \(\mathit{BC}\) \(P\mathrm{=}P(X)\mathrm{=}\mathrm{-}\mathrm{80Y}+18\)

On \(\mathit{CD}\) \(P=P(X)=-\mathrm{45X}+14.5\)

On \(\mathit{DA}\) \(P\mathrm{=}P(X)\mathrm{=}\mathrm{-}\mathrm{80Y}+27\)