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Finite element methods and numerical analysis for petroleum origin and accumulation in basin evolution. (Chinese. English summary) Zbl 0830.76054

Summary: Petroleum origin and accumulation in basin evolution are governed by a system of nonlinear partial differential equations. The mathematical model considered here comprises: (1) fluid flow; (2) heat transport; (3) porosity of the media. The pressure, Darcy velocity, and temperature are approximated by the finite element method. Optimal order convergence in \(L^2\) and \(H^1\) is proved.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
86A20 Potentials, prospecting
80A20 Heat and mass transfer, heat flow (MSC2010)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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