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Parallel Fully Implicit Chemical Potential-based Modeling of Unconventional Shale Gas Reservoirs by Gang Qiu; Haijian Yang; Jisheng Kou; Shuyu Sun is a Engineering article available to read on EtoBox.

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The design of novel mathematical models and state-of-the-art simulators for unconventional shale gas reservoirs plays an increasingly important role in the current energy mix of the world’s growing energy demand. In this paper, we present a robust and scalable framework, which is based on the chemical potential-based modeling and the fully implicit method (FIM), to model and simulate this highly nonlinear flow transport problem on a large scale. In the proposed approach, a thermodynamically consistent mathematical model of gas flow in shale formations, which employs the gas density and the chemical potential gradient, is developed to satisfy the second law of thermodynamics and meanwhile guarantee the energy dissipation property. And then the family of fully implicit finite element algorithms is utilized to accurately capture the complicated flow physics behind the transport process in shale media on high resolution grids. In particular, our approach further enhances the numerical formulation by proposing the family of Newton–Krylov methods for efficiently computing, and the parallel implementation of the simulator is achieved by using the domain decomposition technique. Numerical

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Author

Gang Qiu; Haijian Yang; Jisheng Kou; Shuyu Sun

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Engineering (Physical Sciences)