The movement of gas in the gravity field through porous objects with energy-release sources, which may arise from natural or man-caused disasters (as the exploded unit of the Chernobyl NPP), is investigated.A mathematical model and an original numerical method based on the combination of explicit and implicit finite difference schemes, are proposed for researching the time-dependent gas flows through porous heat-evolutional objects of complicated shape. Cooling the energy-release sources, nonuniform distributed into the porous object, by an enforced gas flow and cooling axisymmetric and plane porous self-heating objects of different shapes are investigated. It is shown that porous object heating is affected not only by the configuration of the heat-evolutional source, but also by the its location within the object. An ambiguous dependence of the porous object heating on the width of the heat-evolutional zone is found. It is shown that the qualitative distinction in the cooling process of the axisymmetric and plane heat-evolutional objects is possible
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