Constitutive Modeling of Hydromechanical Coupling in Double Porosity Media Based on Mixture Coupling Theory
Publication: International Journal of Geomechanics
Volume 23, Issue 6
Abstract
Modeling of fluids in deformable geoformation media has gained much attention in the past decades due to significant applications such as groundwater prediction, and shale gas and carbon capture and storage. However, considerable research has been focused on the porous media concept, and dual network (fracture and pores) multiphysics coupled modeling has remained a challenge due to the lack of a systemic theory to bridge the physical deformation of the media (e.g., rocks) and the interaction of water flow in pores and fractures. This paper adopts the nonequilibrium thermodynamics-based approach, the mixture coupling theory, to develop a thermodynamics consistency constitutive model for the fully coupled hydromechanical behavior in double porosity formation. The energy dispassion due to fluid flow in matrix pore and fracture is given through nonequilibrium thermodynamics, and the relationship between the solid and fluid is linked through the Helmholtz free energy. The dynamic evolution of stress, porosity change of the matrix pores, and fracture are derived with respect to mechanical strain, pore pressure, and fracture pressure to account for the flow–deformation interaction. The developed constitutive equations are then solved numerically to show the hydraulic and mechanical behavior of double porosity formation, as well as their sensitivity to parameters.
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Acknowledgments
This work was supported by the 2021 Open Project of Failure Mechanics and Engineering Disaster Prevention, Key Lab of Sichuan Province (No. FMEDP202110), the National Key R&D Program of China (No. 2018YFC1800905) and the National Key R&D Program of China (No. 2019YFC1805503), the Natural Science Foundation of Sichuan Province (Project No. 2022NSFSC0999), the Fundamental Research Funds for the Central Universities (Project No. J2022-038), and a grant from the Engineering Research Center of Airport, CAAC (No. ERCAOTP20220302). In addition, the first author would like to thank the CERES studentship support from the School of Civil Engineering at the University of Leeds.
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International Journal of Geomechanics
Volume 23 • Issue 6 • June 2023
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© 2023 American Society of Civil Engineers.
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Received: Feb 11, 2022
Accepted: Dec 19, 2022
Published online: Mar 21, 2023
Published in print: Jun 1, 2023
Discussion open until: Aug 21, 2023
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