Abstract
For many decades, the hydraulic fracturing method, due to its efficiency, has been actively used to increase the productivity of wells in the oil and gas industry. This article is devoted to modeling fluid filtration in a fracture obtained by hydraulic fracturing running perpendicular to the wellbore.
 The cases of constant flow rate and constant pressure in the well are considered in the paper. A mathematical model of the «well – fracture – reservoir» system for the case of a hydraulic fracture perpendicular to the well is described. The solution is derived by the sequential change of stationary states method, graphs with the results of test calculations are plotted.
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