A DG Method for the Simulation of CO2 Storage in Saline Aquifer

Rivière, Béatrice; Yang, Xin

doi:10.1007/978-3-319-98684-5_12

Cited by 1 publication

(1 citation statement)

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“…The DG literature for compositional flows (with mass transfer) is very sparse. For one‐dimensional problems, we can mention the works where DG methods are used to solve the two‐component two‐phase flow problem of CO 2 sequestration problem using either linear relationship between pressure and density or nonlinear relationships. In , the black‐oil problem in one‐dimensional problems has been numerically discretized by high order DG methods (with polynomials of degree up to four), where mass transfer between the liquid and vapor phases is modeled by the gas–oil ratio.…”

Section: Introductionmentioning

confidence: 99%

Discontinuous Galerkin method for solving the black‐oil problem in porous media

Cappanera

Rivière

2018

Numerical Methods Partial

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We introduce a new algorithm for solving the three-component three-phase flow problem in two-dimensional and three-dimensional heterogeneous media. The oil and gas components can be found in the liquid and vapor phases, whereas the aqueous phase is only composed of water component. The numerical scheme employs a sequential implicit formulation discretized with discontinuous finite elements. Capillarity and gravity effects are included. The method is shown to be accurate and robust for several test problems. It has been carefully designed so that calculation of appearance and disappearance of phases does not require additional steps. KEYWORDSblack oil problem, capillary pressures, discontinuous Galerkin, gravity, heterogeneous porous media, phase appearance and disappearance 1 Numer Methods Partial Differential Eq. 2019;35:761-789. wileyonlinelibrary.com/journal/num

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Section: Introductionmentioning

confidence: 99%