L. Cui et al., FINITE-ELEMENT ANALYSES OF ANISOTROPIC POROELASTICITY - A GENERALIZEDMANDELS PROBLEM AND AN INCLINED BOREHOLE PROBLEM, International journal for numerical and analytical methods in geomechanics, 20(6), 1996, pp. 381-401
The finite element equations for non-linear, anisotropic poroelasticit
y are cast in the form of measurable engineering constants. Two proble
ms of importance to the rock and petroleum industry are analysed by th
e FEM. First, the classical Mandel's problem with an extension to tran
sversely isotropic case is investigated. Second, the problem of an inc
lined borehole is explored. In particular, the effect of material anis
otropy on stress concentration near the wall with implication to boreh
ole instability is examined in detail.