Abstract
The research deals with the development of efficient tools for the simulation of thermal processes in porous media when flows of multiphase multicomponent slightly compressible fluids are considered. Such flows occur in the subsurface during the hydrocarbon recovery or during remediation of contaminated soils, fluid filtration also takes place in various industrial installations. For an adequate description of non-isothermal processes the transfer of mass and energy between phases should be reproduced, therefore the multicomponent composition of fluids cannot be neglected. The classic model is modified to be implemented by explicit difference schemes with sufficient accuracy and mild stability conditions. The experience of constructing the hyperbolic quasi-gas dynamic system of equations was transferred to flows in porous media. Conservation laws are formulated for the components in terms of the mass concentrations of components in phases. The mass balance equation for each component contains the second time derivative and a dissipative term with small parameters having the sense of minimum reference sizes in time and in space. Constants of phase equilibrium are used to close the system of equations. To verify the developed approach test calculations of two- and three-phase flows were performed, physically correct results were obtained.
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Trapeznikova, M.A., Churbanova, N.G., Chechina, A.A. (2022). Prediction of Temperature-Dependent Processes in Multicomponent Fluid Flow Through Porous Media. In: Badriev, I.B., Banderov, V., Lapin, S.A. (eds) Mesh Methods for Boundary-Value Problems and Applications. Lecture Notes in Computational Science and Engineering, vol 141. Springer, Cham. https://doi.org/10.1007/978-3-030-87809-2_39
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