Robust, Efficient, and Long-Time Accurate Schemes to Simulate Gas Storage in Geological Formation
摘要
In this paper, we consider the numerical simulation of gas storage in geological formation in the context of hydrogen underground storage and carbon dioxide geological sequestration. We construct two energy-stable numerical schemes: one based on the energy factorization approach, which rigorously preserves the energy dissipation principle and combines discontinuous Galerkin approximations with mixed finite elements for spatial discretization; the other based on a stabilization approach, which conserves the original energy functional, has an adaptive stabilization parameter and time-stepping strategy, and ensures the boundedness of molar density. Through numerical experiments with methane gas, our schemes are validated in terms of capturing coupled hydro-mechanical processes, handling strong nonlinearities, and maintaining conservation properties.