Construction of finite-difference scheme for simulation of flows in porous media under near-critical thermodynamic conditions
DOI:
https://doi.org/10.7242/1999-6691/2013.6.2.28Keywords:
numeric simulations, finite-difference method, approximation, porous media, multiphase flows, critical pointAbstract
We investigate the mathematical model of three-phase non-isothermal binary mixture flows in porous media under sub- and supercritical conditions. We analyze the problems of numerical simulation of flows in a porous medium assuming that enthalpy is an independent variable of the model. We propose a continuous finite-difference approximation of convective fluxes under near-critical thermodynamic conditions. The model can be used for numerical simulation of the problems of underground carbon dioxide storage, geothermal energy production and hydrocarbon deposits exploration.
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