This article is cited in 2 scientific papers (total in 2 papers)
Thermomechanical model for impermeable porous medium with chemically active filler
M. V. Alekseev, A. A. Kuleshov, E. B. Savenkov
Keldysh Institute of Applied Mathematics of Russian Academy of Science
We consider self-consistent mathematical model for thermomechanical behavior of a linear elastic medium which contains voids filled with chemically active substance. The medium is described by linear thermomechanics equations. Substance in voids is described by lumped model which accounts for energy balance, chemical reactions and phase equilibrium conditions. The model allows to consider an arbitrary number of components which can be presented in solid and three fluid phases (liquid and gaseous hydrocarbon phases and water phase). Distribution of components between phases is obtained in thermodynamically consistent way and each component can be present in each phase. To describe thermodynamical behavior of phases in a presence of phase transitions, equation of state (EoS) approach is used based on cubic EoS widely used in engineering practice. For numerical solution of the complete coupled system of equations we propose an algorithm based on combination of domain decomposition method and physical splitting approach.
thermomechanics, phase equlibrium, chemical kinetics, chemical reactions.
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Mathematical Models and Computer Simulations, 2018, 10:4, 459–471
M. V. Alekseev, A. A. Kuleshov, E. B. Savenkov, “Thermomechanical model for impermeable porous medium with chemically active filler”, Matem. Mod., 29:12 (2017), 117–133; Math. Models Comput. Simul., 10:4 (2018), 459–471
Citation in format AMSBIB
\by M.~V.~Alekseev, A.~A.~Kuleshov, E.~B.~Savenkov
\paper Thermomechanical model for impermeable porous medium with chemically active filler
\jour Matem. Mod.
\jour Math. Models Comput. Simul.
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This publication is cited in the following articles:
M. V. Alekseev, A. A. Kuleshov, N. G. Sudobin, E. B. Savenkov, “Matematicheskoe modelirovanie termomekhanicheskogo povedeniya nepronitsaemoi poristoi sredy”, Preprinty IPM im. M. V. Keldysha, 2018, 136, 23 pp.
Alekseev M.V., Savenkov E.B., Sudobin N.G., “Mathematical Modeling of Thermomechanical Behavior of Porous Impermeable Medium With Active Filler”, Physical and Mathematical Modeling of Earth and Environment Processes, Springer Geology, eds. Karev V., Klimov D., Pokazeev K., Springer International Publishing Ag, 2018, 201–206
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