the diffusivity equation describes pressure profile during flow of fluids through porous media. this equation is normally written for single phase flow, i.e. either oil or gas flow. However, there are some instances where two-phase flow occurs. for example, in two phase flow of oil-gas, gas-condensate, and gas-water flow, both phases flow simultaneously.
What will be the form of diffusivity equation and its solution in the case of two-phase flow?
I advise you the reservoir simulation book of Turgay Ertekin. In that book, you can find the derivation of two phase diffusivity equation even for gas-liquid
Hi there are many online articles if you search for numerical simulation of multiphase flow., Which are specific to a two phase situation.
I remember reading about it in a general form an old book of Donald W. Peaceman : "Fundamentals of numerical reservoir simulation"
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