Quasistatic Poroelasticity - Continuum Mechanics of Anisotropic Materials - page 231

for the Biot effective stress coefficient tensor A . This formula has an interesting
history. It was suggested by Geertsma ( 1957 ) and by Skempton ( 1961 ) then proved
with increasing generality by Nur and Byerlee ( 1971 ), Carroll ( 1979 ) and
Thompson and Willis ( 1991 ). The material in this paragraph follows the elegant
derivation of the formula by Nur and Byerlee ( 1971 ) in the isotropic case and by
Carroll ( 1979 ) for the anisotropic case. The problems described in Sect. 8.10 were
taken from Detournay and Cheng ( 1993 ).

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