Multiple-Porosity and Multiple-Permeability Poroelasticity: Theory and Benchmark Analytical Solution

Amin Mehrabian, Younane N. Abousleiman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The linear theory of multiple-porosity and multiple-permeability poroelasticity is presented; a self-consistent extension to Biot's formulation of a single-porosity, homogenous, isotropic, fluid-saturated, and linearly elastic material is made to obtain the constitutive relations and poroelastic constants of a material with an arbitrary number of N systems or scales of porosity and permeability. Sudden and continued confinement of a spherical sample of porous material while allowing for the pore fluid drainage from the surface boundary is known as Cryer's problem in the poromechanics literature. The closed-form solution to this problem is developed in Laplace transform domain for the general case of N-porosity and N-permeability poroelasticity with full inter-porosity fluid exchange property. Numerical results in the time domain are presented for single-porosity, double-porosity, triple-porosity, quadruple-porosity, and quintuple-porosity poroelastic models of organic-rich shale.

Original languageEnglish (US)
Title of host publicationPoromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics
EditorsPatrick Dangla, Jean-Michel Pereira, Siavash Ghabezloo, Matthieu Vandamme
PublisherAmerican Society of Civil Engineers (ASCE)
Pages262-271
Number of pages10
ISBN (Electronic)9780784480779
DOIs
StatePublished - Jan 1 2017
Event6th Biot Conference on Poromechanics, Poromechanics 2017 - Paris, France
Duration: Jul 9 2017Jul 13 2017

Publication series

NamePoromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics

Other

Other6th Biot Conference on Poromechanics, Poromechanics 2017
CountryFrance
CityParis
Period7/9/177/13/17

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics

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