In the course of several years. the attention of specialists (1,2) has been attracted to a new method of stimulating reservoirs powerful explosions which experiment indicates will permit the achievement of high success in the opening up of the low permeability reservoirs. The zone of fractures created by the explosion surrounding the stimulation hole in which the explosion was carried out are able to reach out to significant distances. The effective radius of such hales is as large as several tens of meters, i.e. it exceeds the radius of a usual hole by over 100 times. In the paper the possibility of effectively utilizing powerful explosions for exploitation of low permeability oil and gas deposits is described as well as an analysis of several experiments involving its utilization. As is well known. an explosion forms a column of broken rack - a chimney (Figure 1) --filled with rack which has a radius of 10-20 m (dependi.ng on the yield and depth of the explosions and the properties of the rock), and its height Hc is equal to 4-5 times the radius, rp. The permeability of the rubblized rock inside the chimney is very high - several orders of magnitudes greater than the preexisting permeability of the reservoir. Thus the effective radius of the stirrulation well is able to take an the value rp. However, in practice the effective radius of such a hole. r-e. is much larger as a result of the creation of fractures in the wall of the Chimney.