期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2016
卷号：5
期号：11
页码：18876
DOI：10.15680/IJIRSET.2016.0511010
出版社：S&S Publications
摘要：The multiphase flow in porous media is a matter of great problems with a much wide history in the fieldof fluid mechanics. This is the subject of important technical applications, most probably in the oil recovery frompetroleum reservoirs and others also. The single phase fluid flow through the porous medium is analyzed by Darcy’slaw. In petroleum industry and in other applications, the transport is modeled by postulating the multiphasegeneralization of Darcy’s law. In this relation, distinct pressures are defined for every constituent phase with difference,said as capillary pressure and is determined by micro pore geometry, interfacial tension and surface chemistry of densemedium. For the flow rates, the relative permeability is defined which relates the volume flow rate of every fluid to itspressure gradient. In present paper, there is the derivation and analysis of the diffusion equation in radial coordinatesfor the fluid flow in the porous rocks and some useful results have been founded. The permeability is the function ofrock type which varies with temperature, stress etc., and is independent on fluid. The effect of fluid on the flow rate iscalculated for by the viscosity. The numerical value of the permeability for the given rock varies with the size of thepores in the rock and also on the degree of interconnectivity of void space. The pressure pulses satisfy the diffusionequation instead of the wave equation. Then they move at the speed which continually decreases with the time insteadof moving at constant speed. The results shown in the paper are very useful in earth sciences, petroleum industry andothers.
