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Wave scattering in cross-anisotropic porous media around the cavities and inclusions

Gatmiri, Behrooz / Eslami, Hashem

AbstractA method is presented for evaluating dynamic response of a cylindrical cavity or inclusion in an infinite cross-anisotropic porous medium. The basis of the method is the Biot's consolidation equations in the complex plane. Employing two groups of potential functions for solid skeleton and pore fluid (each group includes three functions), the $u$ - $w$ formulation of Biot's equations are solved. The stress, displacement, and pore pressure fields are evaluated in the vicinity of the cylinder in complex plane. Also the effects of many parameters $(k_{h} / k_{v}, E_{h} / E_{v}, G_{v} / E_{v}, ν_{hh})$ on the responses are evaluated by numerical examples.

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Wave scattering in cross-anisotropic porous media around the cavities and inclusions

Gatmiri, Behrooz / Eslami, Hashem

AbstractA method is presented for evaluating dynamic response of a cylindrical cavity or inclusion in an infinite cross-anisotropic porous medium. The basis of the method is the Biot's consolidation equations in the complex plane. Employing two groups of potential functions for solid skeleton and pore fluid (each group includes three functions), the $u$ - $w$ formulation of Biot's equations are solved. The stress, displacement, and pore pressure fields are evaluated in the vicinity of the cylinder in complex plane. Also the effects of many parameters $(k_{h} / k_{v}, E_{h} / E_{v}, G_{v} / E_{v}, ν_{hh})$ on the responses are evaluated by numerical examples.

Wave scattering in cross-anisotropic porous media around the cavities and inclusions

Gatmiri, Behrooz / Eslami, Hashem

AbstractA method is presented for evaluating dynamic response of a cylindrical cavity or inclusion in an infinite cross-anisotropic porous medium. The basis of the method is the Biot's consolidation equations in the complex plane. Employing two groups of potential functions for solid skeleton and pore fluid (each group includes three functions), the $u$ - $w$ formulation of Biot's equations are solved. The stress, displacement, and pore pressure fields are evaluated in the vicinity of the cylinder in complex plane. Also the effects of many parameters $(k_{h} / k_{v}, E_{h} / E_{v}, G_{v} / E_{v}, ν_{hh})$ on the responses are evaluated by numerical examples.

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Title:

Wave scattering in cross-anisotropic porous media around the cavities and inclusions

Contributors:

Gatmiri, Behrooz (author) / Eslami, Hashem (author)

Published in:

Soil Dynamics and Earthquake Engineering ; 28 ; 1014-1027

Publication date:

2007-11-05

Size:

14 pages

ISSN:

DOI:

https://doi.org/10.1016/j.soildyn.2007.11.003

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Wave scattering , Analytical solution , Porous media , Complex functions , Piles , Tunnels

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