Generalized biot's Theory and mandel's problem of multiple-porosity and multiple-permeability poroelasticity

Amin Mehrabian, Younane N. Abousleiman

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

This paper finds in Biot's theory of poroelasticity a complete and consistent extension to the general case of multiple-porosity and multiple-permeability, fluid-saturated, and linearly elastic media. The constitutive stress-strain relations for a medium identified with this extension are presented, and the coefficient matrix of mechanical properties associated with these relations is derived from the corresponding intrinsic properties of its single-porosity constituents. The closed form analytical solution to Mandel's problem is upgraded to the case being considered in this study. This problem addresses the transient consolidation of a porous elastic slab of rectangular geometry, when confined from the top and bottom. A numerical example solution for shale with laboratory setup of Mandel's problem is provided. Results are compared for the cases of single-, double-, and triple-porosity solutions.

Original languageEnglish (US)
Pages (from-to)2745-2763
Number of pages19
JournalJournal of Geophysical Research: Solid Earth
Volume119
Issue number4
DOIs
StatePublished - Apr 2014

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poroelasticity
Biot theory
permeability
Porosity
porosity
elastic media
consolidation
Shale
Consolidation
mechanical property
slab
shale
slabs
mechanical properties
geometry
Mechanical properties
matrix
Fluids
Geometry
fluid

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology
  • Earth and Planetary Sciences (miscellaneous)
  • Space and Planetary Science

Cite this

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Generalized biot's Theory and mandel's problem of multiple-porosity and multiple-permeability poroelasticity. / Mehrabian, Amin; Abousleiman, Younane N.

In: Journal of Geophysical Research: Solid Earth, Vol. 119, No. 4, 04.2014, p. 2745-2763.

Research output: Contribution to journalArticle

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