Sequential formulation of all‐way coupled finite strain thermoporomechanics for largely deformable gas hydrate deposits

Kim, Jihoon; Lee, Joo Yong

doi:10.1002/nag.3696

Sequential formulation of all‐way coupled finite strain thermoporomechanics for largely deformable gas hydrate deposits

Journal Article · Mon Feb 05 00:00:00 EST 2024 · International Journal for Numerical and Analytical Methods in Geomechanics

DOI:https://doi.org/10.1002/nag.3696· OSTI ID:2575913

^[1]; Lee, Joo Yong ^[2]

Texas A & M Univ., College Station, TX (United States)
Korea Institute of Geoscience and Mineral Resources (KIGAM), Daejeon (Korea, Republic of)

We develop a numerically stable sequential formulation of thermoporomechanics for largely deformable gas hydrate deposits, extended from the fixed stress split of infinitesimal transformation. Constitutive equations are based on the total Lagrangian approach for both flow and geomechanics, including dynamic full tensor permeability and thermal conductivity updated from the deformation gradient. For space discretization, we take the cell-centered finite volume and node-based finite element method for flow and geomechanics, respectively. Then, we propose a sequential implicit method for all-way coupled thermoporomechanics, where the nonisothermal multiphase flow problem of gas hydrates is solved implicitly first and then the geomechanics problem is solved implicitly at the next step. During solution of the flow problem, we fix the rate of first Pioal total stress for numerical stability as well as apply porosity correction and entropy correction to account for geomechanical effects. We test numerical examples where flow and geomechanics parameters are based on deep oceanic gas hydrate deposits. When applying depressurization, even though the results between the infinitesimal transformation and finite strain geomechanics are similar in the early stages due to small deformation, we find differences between them in the late times as deformation becomes large. Accordingly, permeability and thermal conductivity tensors become nonisotropic full tensors although they are initially isotropic. Furthermore, we identify numerical stability of the developed sequential method from the test cases that exhibit the highly complex coupled gas hydrate systems with large deformation. Thus, the proposed sequential formulation can be applied in largely deformable gas hydrate systems.

View Accepted Manuscript (DOE)

Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: Korea Institute of Geoscience and Mineral Resources (KIGAM); USDOE; USDOE Office of Fossil Energy and Carbon Management (FECM)

Grant/Contract Number:: FE0028973

Other Award/Contract Number:: GP2021‐010/GP2016‐027

OSTI ID:: 2575913

Alternate ID(s):: OSTI ID: 2290413

Journal Information:: International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 6 Vol. 48; ISSN 1096-9853; ISSN 0363-9061

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Sequential formulation of all‐way coupled finite strain thermoporomechanics for largely deformable gas hydrate deposits

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