A DG method for the simulation of CO\(_2\) storage in saline aquifer. (English) Zbl 07908113
Deines, Alyson (ed.) et al., Advances in the mathematical sciences. AWM research symposium, Los Angeles, CA, USA, April 8–9, 2017. Cham: Springer. Assoc. Women Math. Ser. 15, 205-232 (2018).
Summary: To simulate the process of CO\(_2\) injection into deep saline aquifers, we use the isothermal two-phase two-component model, which takes mass transfer into account. We develop a new discontinuous Galerkin method called the “partial upwind” method for space discretization, incorporated with the backward Euler scheme for time discretization and the Newton-Raphson method for linearization. Numerical simulations show that the new method is a promising candidate for the CO\(_2\) storage problem in both homogenous and heterogenous porous media and is more robust to the standard discontinuous Galerkin method for some subsurface fluid flow problems.
For the entire collection see [Zbl 1414.00019].
For the entire collection see [Zbl 1414.00019].
MSC:
| 86A60 | Geological problems |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
Keywords:
DG method; upwind part; heterogeneous porous media; standard discontinuous Galerkin method; initial wetting phase saturationReferences:
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