Hybrid Mimetic Finite Difference and Streamline Methods for Numerical Simulation of Two-phase Flow in Fractured Reservoirs

Rao, Xiang; Guo, Shuqing; He, Xupeng; Kwak, Hyung; Yousef, Ali; Hoteit, Hussein

doi:10.1016/j.compgeo.2023.106048

Computers and Geotechnics

2024

DOI: 10.1016/j.compgeo.2023.106048

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Hybrid Mimetic Finite Difference and Streamline Methods for Numerical Simulation of Two-phase Flow in Fractured Reservoirs

Xiang Rao,

Shuqing Guo,

Xupeng He

et al.

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2024

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Cited by 6 publications

References 31 publications

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A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

Rao,

He,

Kwak

et al. 2024

Numerical Methods in Fluids

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We introduce a new hybrid numerical approach that integrates the Mimetic Finite Difference (MFD) and Discontinuous Galerkin (DG) methods, termed the MFD‐DG method. This technique leverages the MFD method to adeptly manage arbitrary quadrilateral meshes and full permeability tensors, addressing the flow equation for both edge‐center and cell‐center pressures. It also provides an approximation for phase fluxes across interfaces and within cells. Subsequently, the DG scheme, equipped with a slope limiter, is applied to the convection‐dominated transport equation to compute nodal and cell‐average water saturations. We present two numerical examples that demonstrate the MFD's capability to deliver high‐precision approximations of pressure and flux distributions across a broad spectrum of grid types. Furthermore, our proposed hybrid MFD‐DG method demonstrates a significantly enhanced ability to capture sharp water flooding fronts with greater accuracy compared to the traditional Finite Difference (FD) Method. To further demonstrate the efficacy of our approach, four numerical examples are provided to illustrate the MFD‐DG method's superiority over the classical Finite Volume (FV) method and MFDM, particularly in scenarios characterized by anisotropic permeability tensors and intricate geometries.

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A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

Rao,

He,

Kwak

et al. 2024

Numerical Methods in Fluids

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A fast physics-based data-driven surrogate model for unconventional reservoirs with rapid decline and well interference

Wang

2024

Geoenergy Science and Engineering

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Numerical simulation of low-viscosity fluid proppant transport based on the high-order WENO method

Zhao,

Huang,

Sheng

et al. 2024

Geoenergy Science and Engineering

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Hybrid Mimetic Finite Difference and Streamline Methods for Numerical Simulation of Two-phase Flow in Fractured Reservoirs

Cited by 6 publications

References 31 publications

A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

A fast physics-based data-driven surrogate model for unconventional reservoirs with rapid decline and well interference

Numerical simulation of low-viscosity fluid proppant transport based on the high-order WENO method

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