The authors have developed a mathematical model of multiphase nonisothermal filtration with chemical reactions and phase transitions in deformable porous media. A modified Biot approach was used to describe filtration through a deformable porous medium. Equations for the stress–strain state have been formulated in terms of displacements, and the elastic rheology of a porous skeleton in nonisothermal form was used in the model. The dependence of the permeability on porosity has been written in the form of a Kozeny–Carman equation. A test problem of combustion in a low-permeability sample of a bituminous reservoir has been solved. Results of the work can be used to numerically substantiate experiments on the technology of interbedding combustion in low-permeability beds.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 1, pp. 197–205, January–February, 2020.
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Khramchenkov, É.M., Khramchenkov, M.G. Mathematical Model of Multiphase Nonisothermal Filtration in Deformable Porous Media with a Simultaneous Chemical Reaction. J Eng Phys Thermophy 93, 191–200 (2020). https://doi.org/10.1007/s10891-020-02108-5
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DOI: https://doi.org/10.1007/s10891-020-02108-5