Numerical Analysis of the Temperature Field in a Poroelastic Medium During Fluid Filtration
УДК 517.9
Abstract
This paper studies a model of liquefied gas filtration in the Earth's crust. Such processes are described by a two-phase medium, which consists of a fluid and a porous skeleton. The governing equations of the model are the equations of mass conservation for each phase, the equations of phase momentum conservation in the form of Darcy's law, the equation of momentum conservation of the entire system, the rheological equation for porosity, and the equation of thermal balance. In the full formulation, the pressure of liquefied gas depends on both temperature and the corresponding densities, and the coefficients of viscosity and compressibility of solid rock depend only on temperature. In the model case, the problem of twodimensional unsteady gas filtration in a thin poroelastic layer is considered. The paper also presents the results of a numerical analysis of the evolution of the temperature field for various physical parameters of liquefied gas and the skeleton. Additionally, the velocity of the solid phase that has a significant effect on the nature of the temperature distribution is considered.
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References
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