Nonlinear Two-Phase Mixing in Heterogeneous Porous Media

摘要: For a two-phase immiscible flow through heterogeneous porous medium in gravity field but with neglected capillary pressure, macroscale model of first order is derived by two-scale homogenization method while capturing the effect fluid mixing. The mixing manifested form nonlinear hydrodynamic dispersion and transport velocity shift. tensor shown to be function saturation. In case without this proportional fractional derivative depends on viscosity ratio. which one dimensional at macroscale, operator remains three can calculated an analytical way. induced flow, longitudinal as saturation negative within some interval values. Numerical simulations microscale problem justify theoretical results homogenization.