Estimation of the Geometric Parameters of a Reservoir Hydraulic Fracture

The exact solution of self-excited vibrations of a reservoir hydraulic fracture after stopping the hydraulic fracture fluid injection is obtained on the basis of the generalized hyperbolictype Perkins-Kern-Nordgren model of the development of vertical reservoir hydraulic fracture. The vibrations are excited by the rarefaction wave developed after stopping the injection. The solution obtained is used to estimate the height, the width, and the half-length of the reservoir hydraulic fracture on the basis of the field data of bottomhole pressure gauges by the time of stopping the hydraulic fracture fluid injection.