Fully coupled hydro-mechanical modeling of two-phase flow in deformable fractured porous media with discontinuous and continuous Galerkin method

Tianran Ma, Lintong Jiang, Weijun Shen*, Wen Zhuo Cao, Chaobin Guo, Hamidreza M. Nick

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Discrete fracture and matrix modeling of coupled flow and geomechanics is instrumental for understanding flow in fractured media for various geoengineering applications such as enhanced geothermal energy systems and groundwater remediation. We employ the governing equations for two-phase flow in deformable fractured porous media with a stress-dependent porosity and permeability model of matrix, and variable fracture aperture and the corresponding permeability. A finite element framework is presented, in which fractures are regarded as low-dimensional objects, to discretize the coupled two-phase flow and geomechanics in fractured porous media. A hybrid method, combining discontinuous Galerkin (DG) and continuous Galerkin (CG) finite element methods (FEM), is utilized to solve for the two-phase flow, while the solid deformation is approximated using a discontinuous Galerkin FEM approach. Several benchmark cases are utilized to examine the accuracy of the proposed hybrid DG-CG FEM method. Further validation is performed using more complex, realistic fracture configurations. As the mechanical characteristics of the fracture and the surrounding matrix differ, the simulation results demonstrate that displacement and stress are discontinuous on both sides of the fracture. While the case with low permeability fractures exhibits pressure jump across the fractures, the pressure changes are reasonably smooth for the conduit fractures.

Original languageEnglish
Article number105823
JournalComputers and Geotechnics
Volume164
Number of pages13
ISSN0266-352X
DOIs
Publication statusPublished - 2023

Keywords

  • Coupled processes
  • Discontinuous Galerkin method
  • Discrete fracture network
  • Two-phase flow

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