Analytical solution for the dynamic response of a saturated poroelastic half-space to harmonic stress loading

Lo, Wei Cheng; Chen, Chu Hui; Yeh, Chih-Hung

doi:10.1016/j.jhydrol.2010.04.011

Cited by 9 publications

(2 citation statements)

References 14 publications

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“…Recently, Lo et al . proposed a new version of simplified theory that is valid only if the wave excitation frequency is very small as compared with a critical frequency and examined a poroealstic half‐plane disturbed by a harmonic compression line force on the surface. A comprehensive review of the subject and recent developments in the poroelastodynamics can be found in .…”

Section: Introductionmentioning

confidence: 99%

“…Theodorakopoulos [22] and Cai et al [23] used a simplified theory, that is, by neglecting apparent inertia terms and further assuming an incompressible solid constituent, and discussed a poroelastic half-space subjected to a moving line load and a moving rectangular load, respectively. Recently, Lo et al [24] proposed a new version of simplified theory that is valid only if the wave excitation frequency is very small as compared with a critical frequency and examined a poroealstic half-plane disturbed by a harmonic compression line force on the surface. A comprehensive review of the subject and recent developments in the poroelastodynamics can be found in [25].…”

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confidence: 99%

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Dynamic response to fluid extraction from a poroelastic half‐space

Zheng

Ding

Zhang

et al. 2013

Num Anal Meth Geomechanics

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SUMMARY In this study, the dynamic response of a poroelastic half‐space to a point fluid sink is investigated using Biot's dynamic theory of poroelasticity. Based on Biot's theory, the governing field equations are re‐formulated in frequency domain with solid displacement and pore pressure. In a cylindrical coordinate system, a method of displacement potentials for axisymmetric displacement field is proposed to decouple the Biot's field equations to three scalar Helmholtz equations, and then the general solution to axisymmetric problems are obtained. The full‐space fundamental singular solution for a point sink is also derived using potential methods. The mirror‐image method is finally applied to construct the fundamental solution for a point sink buried in a poroelastic half‐space. Furthermore, a numerical study is conducted for a rock, that is, Berea sandstone, as a representative example. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%