Black And . A. Underground hydromechanics - the science of the movement of natural liquids and gases in their natural reservoirs - is a relatively young discipline. Its applications to the problems of water filtration under the bases of hydraulic structures are developed mainly by the works of N. E. Zhukovsky, N. N. Pavlovsky and their disciples and followers . Underground hydromechanics in the application to the tasks of other areas of technology - oil, gas, mining - created over the past 25 years by the efforts of L. C. Lebenzona and his schools . Currently, there are a number of monographs devoted to these applications of filtering theory - the book L. C. Leibenzona, B. N. elkacheva and M. Mask. This work is a further development of the research of the above-mentioned scientists, as well as a certain generalization of the course of lectures given by the author for a number of years at the Moscow Oil Institute .. It contains the main results of research related to practical tasks and performed by the author at the Institute of Mechanics of the Academy of Sciences of the USSR and the Moscow Oil Institute in the period 1941-1947. Hydromechanics literature