Simulation And Application For Two Phase Multi-components Flow In Porous Media

The mathematical model for describing two phase incompressible immisci-ble displacement flow with multi-components in porous media is considered in this paper. The mathematical model includes flow process and physical and chemical processes, A global formulation of the governing equations of flow process,includes pressure and concentration equations. The physical and chemical processes usually include cation exchange and chemicals adsorption and so on. This research focuse on solving the governing equations of flow proccss.For the flow system, this paper for-mulates a semi-discrete and full-discrete scheme by standard Galerkin method,then gives two discrete scheme based on finite difference method and compares them through numerical experiments.In second chaper,a simplified mathinatieal model that have not considered phys-ical and chemical processes is introduced. In the model,chemicals affect phase vis-cosity only.A global formulation of the governing equations, including pressure, sat-uration and concentration equations is constructed in order to solve the flow system implicitly and sequencly. For the system, a semi-discrete scheme and full-discrete scheme are formulated and the optimal H1-error estimate is derived in space.Third chaper introduces the mechanism of suractant and polymer enhance oil recovery via the mathematical model, which inlcludes physical and chemical pro-cesses and considers fluid properties variation. As in second chaper,a global formu- lation of the governing equations, including pressure, saturation and concentration equations is constructed.The paper derives water saturation equation and then gives the implicit difference schemes for concentration equations, including the implicit scheme for water saturation equation. At last, after comparing two methods via simulating the proccsses of polymer and surfactant flood, we conclude that implicit method is more stable and efficient.