The linear theory of dual-porosity and dual-permeability poro-chemo-electro-elasticity is presented. The theory outlines the dual-continuum formulation of multiple coupled processes involving solid deformation, pore fluid flow, and electrically charged species transport, within and in between two coexisting porosity systems of a fluid-saturated, poro-elastic medium. The described formulation is used to derive the analytical solutions to the inclined wellbore problem and axisymmetric Mandel-Type problem of dual-porosity, dual-permeability poro-chemo-electro-elasticity. The effects of chemical and electrical potentials on the distributions of stress and pore pressure are demonstrated by numerical examples pertaining to the considered problems. It is shown that the fully coupled nature of the solutions rigorously captures the seemingly anomalous time variations of the effective stress as driven by the pore fluid pressure disturbances, as well as the distribution and movement of anions/cations within the dual-porosity porous medium. The existing subset of published solutions on the subject is successfully reproduced as special cases of the solutions presented in this paper.
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November 2018
Research-Article
Theory and Analytical Solutions to Coupled Processes of Transport and Deformation in Dual-Porosity Dual-Permeability Poro-Chemo-Electro-Elastic Media
Chao Liu,
Chao Liu
Aramco Research Center-Houston,
Aramco Services Company,
Houston, TX 77084
e-mail: Chao.Liu@Aramcoservices.com
Aramco Services Company,
Houston, TX 77084
e-mail: Chao.Liu@Aramcoservices.com
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Amin Mehrabian,
Amin Mehrabian
Department of Energy and Mineral Engineering,
Earth and Mineral Sciences Energy Institute,
The Pennsylvania State University,
University Park, PA 16802
e-mail: amin.mehrabian@psu.edu
Earth and Mineral Sciences Energy Institute,
The Pennsylvania State University,
University Park, PA 16802
e-mail: amin.mehrabian@psu.edu
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Younane N. Abousleiman
Younane N. Abousleiman
Integrated PoroMechanics Institute,
The University of Oklahoma,
Norman, OK 73019
The University of Oklahoma,
Norman, OK 73019
Search for other works by this author on:
Chao Liu
Aramco Research Center-Houston,
Aramco Services Company,
Houston, TX 77084
e-mail: Chao.Liu@Aramcoservices.com
Aramco Services Company,
Houston, TX 77084
e-mail: Chao.Liu@Aramcoservices.com
Amin Mehrabian
Department of Energy and Mineral Engineering,
Earth and Mineral Sciences Energy Institute,
The Pennsylvania State University,
University Park, PA 16802
e-mail: amin.mehrabian@psu.edu
Earth and Mineral Sciences Energy Institute,
The Pennsylvania State University,
University Park, PA 16802
e-mail: amin.mehrabian@psu.edu
Younane N. Abousleiman
Integrated PoroMechanics Institute,
The University of Oklahoma,
Norman, OK 73019
The University of Oklahoma,
Norman, OK 73019
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 25, 2018; final manuscript received June 30, 2018; published online August 1, 2018. Assoc. Editor: Shaoxing Qu.
J. Appl. Mech. Nov 2018, 85(11): 111006 (13 pages)
Published Online: August 1, 2018
Article history
Received:
May 25, 2018
Revised:
June 30, 2018
Citation
Liu, C., Mehrabian, A., and Abousleiman, Y. N. (August 1, 2018). "Theory and Analytical Solutions to Coupled Processes of Transport and Deformation in Dual-Porosity Dual-Permeability Poro-Chemo-Electro-Elastic Media." ASME. J. Appl. Mech. November 2018; 85(11): 111006. https://doi.org/10.1115/1.4040890
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