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Rock stiffness and permeability during crack opening and closure: A planar transverse isotropic (PTI) model using pore size distributions (PSD)

  • Georgia Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A micro-macro model is proposed to study opening and closure of parallel crack planes in a porous rock. Pore Size Distributions (PSDs) of natural pores and cracks are updated with volumetric fractions, defined as distinct components of volumetric deformation. Deformation components depend on total deformation and on the crack density tensor (damage). The expression of the free energy postulated in the model allows capturing damage-induced anisotropy of stiffness. A unilateral condition of damage is introduced to account for stiffness recovery in compression. The permeability tensor is related to PSDs by combining Darcy's law and Hagen-Poiseuille flow equation. The model captures Planar Transverse Isotropy (PTI) induced by crack openings in both stiffness and permeability and predicts the evolution of two partial porosities (natural and damage-induced). The model will be used to model the damaged zone around underground cavities, faults and hydraulic fractures.

Original languageEnglish
Title of host publicationPoromechanics V - Proceedings of the 5th Biot Conference on Poromechanics
Pages2270-2279
Number of pages10
DOIs
Publication statusPublished - 15 Nov 2013
Event5th Biot Conference on Poromechanics, BIOT 2013 - Vienna, Austria
Duration: 10 Jul 201312 Jul 2013

Publication series

NamePoromechanics V - Proceedings of the 5th Biot Conference on Poromechanics

Conference

Conference5th Biot Conference on Poromechanics, BIOT 2013
Country/TerritoryAustria
CityVienna
Period10/07/1312/07/13

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