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The solution of fluid flow problem in an unbounded homogeneous reservoir penetrated by a single well with two intersecting fractures with taking into account their hydrodynamic resistance is constructed and investigated. A general integral representation of the perturbed pressure field is obtained using the instantaneous point-source. As a particular case, the quasi-stationary operating mode of the well is considered. The accuracy and limitations of the obtained asymptotic solutions are estimated. A comparative analysis obtained results is done. Well productivity and the pseudoskin factor for the fractures system are determined, explicit analytical expressions for these characteristics are constructed. In the course of computational experiments, the interaction of intersecting fractures at different opening angles are investigated. An estimate of the efficiency of repeated hydraulic fracturing of the productive formation is obtained. It is shown that the maximum flow is achieved for a perpendicular arrangement of the fractures, and the distribution of the outflow (inflow) along the flat vertical fracture essentially depends on its relative filtration resistance.

Hydraulic fracturing efficiency evaluation in the vicinity of a single well for a reservoir with two fractures