![]() ![]() ![]() Based on experimental results by his colleagues Wyckoff and Botset, Muskat and Meres also generalized Darcy's law to cover a multiphase flow of water, oil and gas in the porous medium of a petroleum reservoir. This change made it suitable for researchers in the petroleum industry. It can be understood that viscous fluids have more difficulty permeating through a porous medium than less viscous fluids. Morris Muskat first refined Darcy's equation for a single-phase flow by including viscosity in the single (fluid) phase equation of Darcy. One application of Darcy's law is in the analysis of water flow through an aquifer Darcy's law along with the equation of conservation of mass simplifies to the groundwater flow equation, one of the basic relationships of hydrogeology. It is analogous to Fourier's law in the field of heat conduction, Ohm's law in the field of electrical networks, and Fick's law in diffusion theory. It is analogous to Ohm's law in electrostatics, linearly relating the volume flow rate of the fluid to the hydraulic head difference (which is often just proportional to the pressure difference) via the hydraulic conductivity.ĭarcy's law was first determined experimentally by Darcy, but has since been derived from the Navier–Stokes equations via homogenization methods. The law was formulated by Henry Darcy based on results of experiments on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences. ![]() Equation describing the flow of a fluid through a porous mediumĭarcy's law is an equation that describes the flow of a fluid through a porous medium. ![]()
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