Speciality:
01.02.05 (Mechanics of fluids, gases and plasmas)
Birth date:
16.02.1954
E-mail: Keywords: porous media; phase transitions; Stefan problem; multiphase flows; asymptotic solutions; interface; stability; geothermal systems; gas hydrates; permafrost; ground water.
Subject:
The main objective of the study is to construct the new mathematical models of the transport processes with phase transition in porous media. The models were formulated as generalizations of the classical Stefan problem and are based upon fundamental conservation laws and relations of equilibrium thermodynamics. It was shown that phase transition moving boundary can be presented as a jump of saturation functions. This fact allowed apply the theory of discontinuity to obtain the boundary conditions at unknown moving boundaries for wide class of various processes in porous media. The semi-analytical asyptotic method using both similarity solutions and numerical calculation was developed. This approach was applied to investigate the phase transitions problems in the field of soil science (freezing, thawing and evaporation in soils), geothermal reservoir modelling and mathematical modelling of gas hydrate decomposition in strata and marine sediments.
Main publications:
Tsypkin G. G., Brevdo L. A phenomenological model of the increase of solute concentration in ground water due to the evaporation // Transport in porous media, 1999, 37, 129–151.
Tsypkin G. G. Mathematical models of gas hydrates dissociation in porous media // Annals of the New York Academy of Sciences, 2000, 912, 428–436.
