Additional information is available at the end of the chapter http://dx.doi.org/10.5772/56042 . IntroductionThe solution of global energy problems of mankind, first and foremost associated with the development of nuclear energy. Already by the share of nuclear power generation in total electricity production should be about -% today -% . Currently, the total amount of radioactive waste in Russia is estimated at m , the total -activity of which is estimated at .Bq. At the same time on the liquid radioactive waste LRW accounts for about % of total activity, and their treatment and disposal become the most important task of nuclear energy.One of the safest ways of disposal of waste of nuclear and chemical production is injection of them into deep-seated subterranean formations. Therefore, an important issue is to study the processes of the joint heat and mass transfer during the injection of waste into a porous collector layer to predict and control the state of the areas covered by the influence of radioactive impurities. The above forecast is carried out mainly by calculations, since the possibility of experimentally sizing of deep zones of contamination is very limited.