In this 1D example, a porous solid saturated with fluid is compressed
by a force F on the solid phase. The length of the test specimen is
L, plane strain conditions hold, the Young's modulus is E, Poisson's ratio
is ,
permeability kp, width of test specimen W, thickness T,
area A=WT. Some non-dimensional variables are introduced
Now we choose: L=1, W=1, T=1, E=1.e1, ,
kp=0.1 and F=1.
Thus, for x=0.4 at t=0.22 we should find p=0.6.
The numerical analysis (5 elements, time step size 0.01) gives p=0.607.
Note that relaxation on the pressure in combination with iterations is used
(because the compressibility is taken zero to model a fully incompressible
fluid phase). The pressure distribution at T=0.22 is given below