Reactive flows in layered porous media, I. Homogenization of free boundary problems
Jack X. Xin, Anthony P. Peirce, John Chadam, P. Ortoleva · Asymptotic Analysis · 1995
A model of reactive flow in a layered porous medium is considered in which the layering is represented by small-scale periodic structure. A novel form of homogenization analysis is presented, combining geometric optics and multiple scales expansions together with matched asymptotics to derive an effective free boundary problem for the motion of the reactive interface. Applications of the effective free boundary equations are given in which travelling wave solutions and the stability of shape perturbations are considered.