MATHEMATICAL MODEL OF MULTIPHASE NONISOTHERMAL FILTRATION IN DEFORMABLE POROUS MEDIA WITH A SIMULTANEOUS CHEMICAL REACTION

The authors have developed a mathematical model of multiphase nonisothermal fi ltration with chemical reactions and phase transitions in deformable porous media. A modifi ed Biot approach was used to describe fi ltration 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.
   
Author:  É. M. Khramchenkov and M. G. Khramchenkov
Keywords:  multiphase nonisothermal fi ltration, deformable porous media, heavy crude
Page:  191