Dynamics of the pressure relaxation in a “depressurized” borehole

A problem of the pressure relaxation in a borehole after its “depressurization” is considered. An integral equation describing the evolution of the pressure in the borehole is obtained. It is shown that, by a choice of the initial bulk gas content and the height of the Impermeable part of the borehole, it is possible to obtain that the half-period of the pressure relaxation in the borehole lies within limits which are convenient for the technical realization of “depressurization”. Nomograms are constructed which enable one, when the values of the borehole parameters are known, to estimate the permeability of the surrounding porous medium using the half-period of the pressure relaxation.