Propagation of plane P-waves at interface between elastic solid and unsaturated poroelastic medium

Wei-yun CHEN;Tang-dai XIA;Wei CHEN;Chao-jiao ZHAI

doi:10.1007/s10483-012-1589-6

Applied Mathematics and Mechanics >

2012 , Vol. 33 >Issue 7: 829 - 844

DOI: https://doi.org/10.1007/s10483-012-1589-6

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Propagation of plane P-waves at interface between elastic solid and unsaturated poroelastic medium

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1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, P. R. China;
2. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, P. R. China;
3. Institute of Geotechnics, TU Bergakademie Freiberg, Freiberg 09599, Germany

Received date: 2012-01-11

Revised date: 2012-04-11

Online published: 2012-07-10

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Abstract

A linear viscoporoelastic model is developed to describe the problem of reflection and transmission of an obliquely incident plane P-wave at the interface between an elastic solid and an unsaturated poroelastic medium, in which the solid matrix is filled with two weakly coupled fluids (liquid and gas). The expressions for the amplitude reflection coefficients and the amplitude transmission coefficients are derived by using the potential method. The present derivation is subsequently applied to study the energy conversions among the incident, reflected, and transmitted wave modes. It is found that the reflection and transmission coefficients in the forms of amplitude ratios and energy ratios are functions of the incident angle, the liquid saturation, the frequency of the incident wave, and the elastic constants of the upper and lower media. Numerical results are presented graphically. The effects of the incident angle, the frequency, and the liquid saturation on the amplitude and the energy reflection and transmission coefficients are discussed. It is verified that in the transmission process, there is no energy dissipation at the interface.

Key words： fuzzy numbers; fuzzy stochastic finite element method (FSFEM); Edgeworth seried; wave reflection; wave transmission; unsaturation; poroelasticity; wave propagation; porous medium

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Wei-yun CHEN;Tang-dai XIA;Wei CHEN;Chao-jiao ZHAI . Propagation of plane P-waves at interface between elastic solid and unsaturated poroelastic medium[J]. Applied Mathematics and Mechanics, 2012 , 33(7) : 829 -844 . DOI: 10.1007/s10483-012-1589-6

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