Modeling of non-equilibrium mass-exchange processes in geo-systems

• New mathematical model of coupled processes of filtration, deformations of porous skeleton and mass transfer is presented.
• Processes of metamorphization and magmatic intrusion are simulated with this model.
• Results of simulations comply with experimental and theoretical data.

This paper presents a new mathematical model of coupled processes of filtration, deformations of porous skeleton and mass transfer between solid and liquid phases in sedimentary and igneous rocks. A numerical solution is obtained and processes which can be described by the model are analyzed. Examples of such processes are: formation of a fluid layer along metamorphism of sedimentary rocks, formation of a structure and filtration characteristics of the Bazhenov Shale, appearance of intrusive igneous body (lopolith).