Geodesic
Thermomechanical model for impermeable porous medium with chemically active filler
Matematičeskoe modelirovanie, Tome 29 (2017) no. 12, pp. 117-133

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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.
Keywords: thermomechanics, chemical kinetics, chemical reactions.
Mots-clés : phase equlibrium 
@article{MM_2017_29_12_a8,
     author = {M. V. Alekseev and A. A. Kuleshov and E. B. Savenkov},
     title = {Thermomechanical model for impermeable porous medium with chemically active filler},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {117--133},
     publisher = {mathdoc},
     volume = {29},
     number = {12},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_12_a8/}
}
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M. V. Alekseev; A. A. Kuleshov; E. B. Savenkov. Thermomechanical model for impermeable porous medium with chemically active filler. Matematičeskoe modelirovanie, Tome 29 (2017) no. 12, pp. 117-133. http://geodesic.mathdoc.fr/item/MM_2017_29_12_a8/