Thermodynamics of Multiphase Chemical Active Mixture. The Laws of Filtration Darcy and Diffusion.
Abstract:
The methods of a non-equilibrium thermodynamics with use of principles a Curie and Onzager deduce defining relations for thermodynamic flows in a multiple-speed isothermal continuum (as generalized relations of a Stefan-Maxwell for flows of a inside phase diffusion both relative of movement of phases and appropriate to them expression for a full flow of a heat). Within the framework of the developed common approach an isothermal filtration of a multiphase multicomponent chemical active mixture in an isotropic porous medium is analyzed at the registration of a lack of a deformation of a rigid skeleton of a stratum and incongruity of pressure in phases. In particular, relation Stefan-Maxwell, the filtrations, representing in this case the common law, generalize on a considered medium the law Darcy, noted through drag coefficients of phases. The defining relations for flows of relative motion of phases (in the form, similar to the Fiсk' law for a multicomponent of a diffusion) give other representations of the generalized law Darcy, noted through factors of a relative permeability of phases. The algebraic equations, permitting to determine factors permeabilities in a multiphase mixture on known binary factors of friction, are offered. The developed model of a heterogeneous chemical reacting medium is intended for problem solving of underground hydrodynamics of a petroleum stratum, connected, in particular, with physico-chemical flooding at development of petroleum deposits.
Publication language:russian
Research direction:
Mathematical modelling in actual problems of science and technics
