2004
DOI: 10.2172/822181
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A hydrologic view on Biot's theory of poroelasticity

Abstract: Abstract. The main objective of this work is to obtain a simplified asymptotic representation of the reflection of seismic signal from a fluid-saturated porous medium in the low-frequency domain.In the first part, we derive the equations of low-frequency harmonic waves in a fluid-saturated elastic porous medium from the basic concepts of filtration theory. We demonstrate that the obtained equations can be related to the poroelasticity model of Frenkel-Gassmann-Biot, and to pressure diffusion model routinely us… Show more

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Cited by 30 publications
(18 citation statements)
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“…In addition to Biot's papers, several excellent detailed discussions are available (Stoll, 1989;Neuzil, 2003;Silin et al, 2004;Pride, 2005, Lo et al, 2008. Biot's theory predicts three body waves: two P waves and one S wave.…”
Section: Relationship Between Biot's Poroelasticity and Uncoupled Prementioning
confidence: 99%
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“…In addition to Biot's papers, several excellent detailed discussions are available (Stoll, 1989;Neuzil, 2003;Silin et al, 2004;Pride, 2005, Lo et al, 2008. Biot's theory predicts three body waves: two P waves and one S wave.…”
Section: Relationship Between Biot's Poroelasticity and Uncoupled Prementioning
confidence: 99%
“…For the slow wave, the relative fluid-solid displacement is much larger than the displacement of the solid grains and is exactly out of phase with the solid displacement. The high attenuation of pressure diffusion waves is a consequence of energy losses in the fluid flow in the pores (Silin et al, 2004). In the seismic band of frequencies (< 10 kHz), the slow wave is a pure pore-fluidpressure diffusion.…”
Section: Relationship Between Biot's Poroelasticity and Uncoupled Prementioning
confidence: 99%
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“…Based on Biot-Gassmann's equation and viscoelasticity theory, Silin et al (2004) proposed an approximate equation between the seismic reflection coefficient and rock matrix, rock permeability, fluid property and seismic frequency as follows:…”
Section: Principles and Methodsmentioning
confidence: 99%
“…,b; Silin et al . , ). Furthermore, Silin and Goloshubin () extended the work to build an asymptotic model of seismic reflection from a permeable layer, and through the analysis of wave field characteristics of the fast and slow waves in low‐frequency domain, they found an asymptotic solution with a slightly different choice of the small parametre and abandoned the assumption of grain stiffness.…”
Section: Introductionmentioning
confidence: 99%