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Russian Geology and Geophysics

2012 year, number 5

STONELEY WAVES IN THE BIOT-JOHNSON AND CONTINUUM FILTRATION THEORIES

V.N. Dorovskya, Yu.V. Perepechkoa,b, and A.I. Fedorova
aBaker Hughes, Russian Science Center, ul. Kutateladze 4A, Novosibirsk, 630128, Russia
bV.S. Sobolev Institute of Geology and Mineralogy, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 3, Novosibirsk, 630090, Russia
Keywords: Fluid-saturated porous solid, theory of pore elasticity, continuum filtration theory, Stoneley waves
Pages: 475-483

Abstract

The paper concerns with mathematical modeling of two-velocity media with reference to data on Stoneley wave propagation at the fluid-porous solid interface from experiments by K.W. Winkler, H.L. Liu, and D.J. Johnson. Models obtained within the limits of two theories, that of Biot (Biot-Johnson) and continuum filtration, are investigated in comparison. On this basis, it is discussed whether it is reasonable to include pore tortuosity and frequency-dependent permeability and tortuosity when modeling the mechanics of deforming fluid-saturated porous solids.