We have investigated theoretically and experimentally the process of filtration combustion with hydrocarbon desorption from a porous skeleton realized, in particular, in heat cleaning of porous media out of residues of organic impurities. Two basic configurations were considered: fixed and moving beds. The problem of the combustion wave propagation in a system with three phases-gaseous, liquid, and inert solid-has been solved analytically. The specific features of this process as compared to the conventional filtration combustion of gases have been revealed. The dependences of the basic characteristics of the waves on the content of methane in the gas mixture as well as of absorbed oil and water in a porous medium have been obtained. A comparison with the experimental data has been made. Recommendations for optimizing the operation of decontamination plants on the basis of the process considered are given.