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• W2897536646 abstract "Abstract The paper contains numerical simulation of nonisothermal nonlinear filtration in a porous medium. Two-dimensional unsteady problem of heavy oil, water and steam flow is considered. Oil phase consists of two pseu-docomponents: light and heavy fractions, which can vaporize like the water component. Oil exhibits viscoplastic rheology, its filtration does not obey Darcy's classical linear law. Simulation considers not only the dependence of fluids density and viscosity on temperature, but also improvement of oil rheological properties with temperature increasing. To solve this problem numerically, we use the streamline method with splitting by physical processes, which consists in separating the convective heat transfer directed along filtration from thermal conductivity and gravitation. The article proposes a new approach to streamline method application, which allows to correctly simulate nonlinear filtration problems with temperature-dependent rheology. The core of this algorithm is to consider the integration process as a set of quasi-equilibrium states that are results of solving system on a global grid. Between these states the system is solved on a streamline grid. Usage of the streamline method allows not only to accelerate calculations, but also to obtain a physically reliable solution as integration takes place on a grid that coincides with the fluid flow direction. In addition to the streamline method, the paper presents an algorithm for non-smooth coefficients accounting, which arise during simulation of viscoplastic oil flow. Applying this algorithm allows keeping sufficiently large time steps and does not change the physical structure of the solution. Obtained results are compared with known analytical solutions, as well as with the results of commercial package simulation. The analysis of convergence tests on the number of streamlines, as well as on different streamline grids, justifies the applicability of the proposed algorithm. In addition, the reduction of calculation time in comparison with traditional methods demonstrates practical significance of the approach." @default.
• W2897536646 created "2018-10-26" @default.
• W2897536646 creator A5053838484 @default.
• W2897536646 date "2018-09-24" @default.
• W2897536646 modified "2023-09-25" @default.
• W2897536646 title "Development of Models for Filtration Simulation in Nonlinear Media" @default.
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• W2897536646 doi "https://doi.org/10.2118/194047-stu" @default.
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