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