Traveling Wave Solutions for Non-Newtonian Foam Flow in Porous Media

The injection and in situ generation of foam porous media successfully control gas mobility improve the fluids’ sweep efficiency inside media. Mathematical models describing this problem use two phases, foamed gas, fluid, usually have a term for destruction. Moreover, non-Newtonian behavior is frequently modeled using Hirasaki Lawson’s formula viscosity. In paper, we detail how traveling wave analysis can be used to estimate propagation profiles velocity range at constant total superficial flow velocity. We reformulate an explicit form allowing us find solutions model with viscosity linearly dependent on texture. Comparing solution one Newtonian version allows analyze qualitatively quantitatively rheology