Abstract of the paper ``Transversely Isotropic Poroelasticity Arising
from Thin Isotropic Layers''
Percolation phenomena play central roles in the field of
poroelasticity, where two distinct sets of percolating continua
intertwine. A connected solid frame forms the basis of the
elastic behavior of a poroelastic medium in the presence of external
confining forces, while connected pores
permit a percolating fluid (if present) to influence the mechanical
response of the system from within. The present paper discusses
isotropic and anisotropic poroelastic media and establishes
general formulas for the behavior of transversely isotropic
poroelasticity arising from laminations of isotropic components.
The Backus averaging method is shown to provide elementary
means of constructing general formulas. The results for confined
fluids are then compared with the more general Gassmann formulas
that must be satisfied by any anisotropic poroelastic medium and found
to be in complete agreement.
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