Abstract of the paper ``Connecting theory to experiment in poroelasticity''
with S. R. Pride
The variables
controlled and measured in elastostatic laboratory experiments
(the volume changes, shape changes,
and confining pressures) are
exactly related to the appropriate variables of poroelastic
field theory (the gradients of the volume-averaged
displacement fields and the volume-averaged stresses).
The relations between the laboratory and
volume-averaged strain measures
require the introduction of a new
porous-material geometrical term. In the anisotropic case,
this term is a tensor that
is related both to the presence of porosity gradients
and to a type of weighted surface porosity. In the isotropic case,
the term reduces to a scalar and
depends only on the surface-porosity parameter.
When this surface-porosity parameter is identical
to the usual volume porosity, the relations initially
proposed by Biot and Willis are recovered.
The exact statement of the poroelastic
strain-energy density is derived
and is used to relate the moduli
measured in laboratory experiments
to the moduli of
poroelastic theory.
Only two restrictions are placed on the materials
being treated: 1) the fluid is
homogeneous in each sample and 2) the material possesses a
rigidity. However, the entire work is limited to linear
deformations and long (relative to sample size)
wavelengths of applied stress.
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