Simulation of unsteady fluid filtration in a reservoir with a hydraulic fracture

The results of simulation of the process of unsteady fluid filtration in a formation penetrated by a well, which is crossed by a vertical hydraulic fracture of finite length, are presented. Using the method of integral Laplace transformations, an analytical solution of the system of equations describing fluid filtration in a formation and a fracture is constructed. Based on the analysis of the obtained solutions, the main characteristic features of the studied filtration process in the system reservoir – fracture.