0
research-article

Dynamic Green's Functions and Integral Equations for a Double-Porosity Dual-Permeability Poroelastic Material

[+] Author and Article Information
Pei Zheng

School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
alias.pei@163.com

Alexander H.-D. Cheng

School of Engineering, University of Mississippi, Oxford, Mississippi 38677-1848
acheng@olemiss.edu

Haolin Li

School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
haolin61@163.com

1Corresponding author.

ASME doi:10.1115/1.4036439 History: Received January 23, 2017; Revised March 30, 2017

Abstract

Geomaterials such as sedimentary rocks often contain fissures and cracks. Such secondary porosity will result in the so-called mesoscopic flow in wave propagation. Its presence is increasingly believed to be responsible for the significant wave energy loss in the seismic frequency band. In the present research, the double-porosity dual-permeability model is employed to describe such phenomena. Based on the model, we derive both the 3D and 2D dynamic Green's functions for infinite space. The existence of reciprocity relation is demonstrated, which is used to deduce some interesting relations among Green's functions, which serve as a consistency check on the obtained results. The Somigliana-type integral equations, the basis for the boundary element method (BEM), are also established. The complete list of Green's functions appearing in the integral equations are provided, which enables numerical implementation.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In