Pore Volume and Porosity Changes under Uniaxial Strain Conditions
File(s)10.1007%2Fs11242-017-0894-0.pdf (517.7 KB)
Published version
Author(s)
Zimmerman, RW
Type
Journal Article
Abstract
Expressions for the changes that occur in the pore volume and the porosity of a porous rock, due to changes in the pore pressure, overburden stress, and temperature, are derived within the context of the linearised theory of poroelasticity. The resulting expressions are compared to the commonly used equations proposed by Palmer and Mansoori, and it is shown that their expressions are consistent with the exact expressions if their factor f is identified with (1+ν)/3(1−ν)(1+ν)/3(1−ν) , where νν is the Poisson’s ratio of the porous rock. Finally, the first derivation is given, within the context of the fully coupled linearised theory of poroelasticity, that under uniaxial strain, the partial differential equation that governs the evolution of the pore pressure is a pure diffusion equation, with a total compressibility term that (exactly) equals the sum of the fluid compressibility and the uniaxial pore volume compressibility.
Date Issued
2017-07-27
Date Acceptance
2017-06-23
Citation
Transport in Porous Media, 2017, 119 (2), pp.481-498
ISSN
0169-3913
Publisher
Springer Verlag
Start Page
481
End Page
498
Journal / Book Title
Transport in Porous Media
Volume
119
Issue
2
Copyright Statement
© The Author(s) 2017
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
License URL
Subjects
Science & Technology
Technology
Engineering, Chemical
Engineering
Poroelasticity
Porosity
Uniaxial strain
Coalbed methane
Palmer-Mansoori equation
ANISOTROPIC POROELASTICITY
POROUS ROCKS
THERMOELASTICITY
PERMEABILITY
MEDIA
Publication Status
Published