The article discusses oil production from low- and ultra-low-permeability oil and gas fields which is mainly performed through hydraulic fracturing operations. As a result of hydraulic fracturing, single, multiple or even a network of fractures with sufficiently high filtration properties are formed. The geomechanical, filtration and geological properties of the rock, as well as technological parameters of the fracturing itself influence the development of fractures. The paper proposes a model of geometric complexity of hydraulic fracture, and on its basis the calculation of stimulated reservoir volume (SRV) zone is performed. The system of equations to describe the dynamics of self-consistent growth of macrocracks of the selected geometry and complexity, and the corresponding SRV zone is given. The system of equations for hydraulically connected macrocracks is written out for the case of their weak interaction through elasticity. All microcracks that failed to grow into macrocracks were modeled as newly emerged cracking in the matrix (SRV zone). Within the framework of the Perkins-Kern-Nordgner fracture model, an algorithm of joint geomechanical and hydrodynamic modeling was implemented in the RN-KIM software package, the model was adapted to field data on hydraulic fracturing fluid injection, and the dynamic SRV zone was calculated as a zone with nonlinear filtration through microcracks.
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