Численное моделирование процесса вытеснения нефти водой с использованием монотонной схемы для аппроксимации потоков Д. О. Диль, М. М. Какышев
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ArticleContent type: Текст Media type: электронный Other title: Numerical simulation of the displacement process of oil by water using a monotonic flux approximation scheme [Parallel title]Subject(s): численное моделирование | вытеснение нефти водой | аппроксимация потоков | двухфазная фильтрацияGenre/Form: статьи в сборниках Online resources: Click here to access online
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Перспективы развития фундаментальных наук. Т. 3 : сборник научных трудов XVII Международной конференции студентов, аспирантов и молодых ученых, Россия, Томск, 21-24 апреля 2020 г Т. 3 : Математика. С. 33-35Abstract: Cell centered finite volume fully implicit formulation with a higher order approximation for convective transport is presented for modeling immiscible incompressible two-phase flow in an undeformable reservoir. Values of water saturation on the faces of finite volumes were calculated using one of monotonic upstream scheme for conservation laws (MUSCL). Discrete equations were solved using the Newton’s iterative method. Numerical results of solving Buckley and Leverett problem showed the advantages of the higher order method compared to standard upwind scheme.
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Cell centered finite volume fully implicit formulation with a higher order approximation for convective transport is presented for modeling immiscible incompressible two-phase flow in an undeformable reservoir. Values of water saturation on the faces of finite volumes were calculated using one of monotonic upstream scheme for conservation laws (MUSCL). Discrete equations were solved using the Newton’s iterative method. Numerical results of solving Buckley and Leverett problem showed the advantages of the higher order method compared to standard upwind scheme.
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