In our work [Phys. Rev. E 58, R5245 (1998)] we introduced a dynamic phenome
nological approach to model propagation of localized wetting fronts in poro
us media. Gray and Miller in their Comment [Phys. Rev. E 61, 2150 (2000)] c
riticize our approach on several issues. The main criticism addresses the p
roblem of mass conservation in our model. In this Reply we argue that their
criticism is incorrect.