Solution of a Plane Hydrofracture Problem with Stress Contrast
I. O. Gladkov1, A. M. Linkov1,2
1Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia
2Rzeszow University of Technology, Rzeszow, 35959, Poland
Keywords: гидроразрыв, плоская задача, контраст напряжений, hydraulic fracture, plane problem, stress contrast
Abstract
A plane hydrofracture problem for the Khristianovich-Geertsma-de Klerk model is extended and solved in the case where a confining stress closing a fracture is not constant in the direction of its propagation. A method is developed for solving the problem with an arbitrary stress contrast. It is stated that the transition through a contact with positive (negative) contrast occurs with fracture arresting (acceleration), whose intensity is controlled by a dimensionless parameter derived from theoretical considerations and numerical results
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