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Implementation of planar 3D hydraulic fracture model in rock with layered compressive stress

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, , Citation V Lapin 2021 J. Phys.: Conf. Ser. 2099 012011 DOI 10.1088/1742-6596/2099/1/012011

1742-6596/2099/1/012011

Abstract

Plane 3D model of hydraulic fracture propagation is implemented. Fluid flow inside the fracture, leak-of, rock deformation and breaking are taken into account. Asymptotic solution for tip of semi-infinite plane fracture is used to set boundary conditions for fluid flow problem and to calculate fracture front propagation velocity. Elastic and fluid flow equations are united in one system of nonlinear equations and solved simultaneously by Newton method with analytically calculated Jacoby matrix. The implemented model may be used as a start point for testing various methods of solution of "hydrodynamic-elasticity" problem and improving their convergence speed. Also model can be used for developed hydraulic fracture simulation.

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10.1088/1742-6596/2099/1/012011