An extension of Biot's theory with molecular influence based on mixture coupling theory: Mathematical model

Ma, Yue; Chen, Xiaohui; Yu, Hai‐Sui

doi:10.1016/j.ijsolstr.2019.11.015

Cited by 7 publications

(1 citation statement)

References 32 publications

(29 reference statements)

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“…Unlike the mixture theory adopting the momentum conservation equation, mixture coupling theory directly works on the free energy conservation, making it easier. This theory provides a rigorous framework to study the coupling effects between multi-physics and multi-phases and has been applied to different couplings in porous media (Chen 2013, Chen et al 2016, Ma et al 2020, and it is the first attempt to apply the theory to the double porosity media to develop the fully coupled Hydro-Mechanical model.…”

Section: Introductionmentioning

confidence: 99%

Constitutive Modeling of Hydromechanical Coupling in Double Porosity Media Based on Mixture Coupling Theory

Feng

et al. 2023

Int. J. Geomech.

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Modelling of fluids in deformable geoformation media has gained great attention in the past decades due to significant applications such as groundwater prediction, 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 modelling 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 non-equilibrium thermodynamics-based approach, the Mixture Coupling Theory, to develop a thermodynamics consistency constitutive model for the fully coupled Hydro-Mechanical 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 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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Section: Introductionmentioning

confidence: 99%

Constitutive Modeling of Hydromechanical Coupling in Double Porosity Media Based on Mixture Coupling Theory

Feng

et al. 2023

Int. J. Geomech.

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Computer Analysis of Slow and Fast Waves in a Composite Material

Rushchitsky

Yurchuk

2022

Int Appl Mech

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Coupled Reactive Two-Phase Model Involving Dissolution and Dynamic Porosity for Deformable Porous Media Based on Mixture Coupling Theory

Abdullah,

Ma,

Chen

et al. 2023

Transp Porous Med

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Carbon capture and storage (CCS) has attracted significant attention owing to its impact on mitigating climate change. Many countries with large oil reserves are adopting CCS technologies to reduce the impact of fossil fuels on the environment. However, because of the complex interactions between multi-phase fluids, planning for CCS is challenging. One of the challenges is the integration of chemical reactions with multi-phase hydro-mechanical relationships in deformable porous media. In this study, a multi-phase hydro-mechanical reactive model for deformable porous media is established by using mixture coupling theory approach. The non-equilibrium thermodynamic approach is extended to establish the basic framework and Maxwell’s relations to build multi-scale coupling. Chemical reaction coupling is achieved through the extent of the reaction and chemical affinity. The developed model can simulate CCS by considering the effect of calcite dissolution on porosity and permeability. It has been found from the simulation that the chemical reaction has a major influence on porosity and permeability change compared to both pressure and mechanical strain effect. Also, as the dissolution reaction takes place, the stress/strain decrease on the solid matrix. The results of this study successfully bridge the knowledge gap between chemical reactions and mechanical deformation. Furthermore, insights from this model hold substantial implications for refining CCS processes. By providing a more accurate prediction of pressure changes and porosity/permeability evolution over time, this research paves the way for improved CCS operation planning, potentially fostering safer, more efficient, and economically feasible climate change mitigation strategies.

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An extension of Biot's theory with molecular influence based on mixture coupling theory: Mathematical model

Abstract: This is a repository copy of An extension of Biot's theory with molecular influence based on mixture coupling theory: Mathematical model.

Cited by 7 publications

References 32 publications

Constitutive Modeling of Hydromechanical Coupling in Double Porosity Media Based on Mixture Coupling Theory

Constitutive Modeling of Hydromechanical Coupling in Double Porosity Media Based on Mixture Coupling Theory

Computer Analysis of Slow and Fast Waves in a Composite Material

Coupled Reactive Two-Phase Model Involving Dissolution and Dynamic Porosity for Deformable Porous Media Based on Mixture Coupling Theory

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