Solution of a Plane Hydrofracture Problem with Stress Contrast
- Authors: Gladkov I.O.1, Linkov A.M.1,2
-
Affiliations:
- Institute for Problems in Mechanical Engineering
- Rzeszow University of Technology
- Issue: Vol 59, No 2 (2018)
- Pages: 341-351
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161047
- DOI: https://doi.org/10.1134/S0021894418020189
- ID: 161047
Cite item
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.
Keywords
About the authors
I. O. Gladkov
Institute for Problems in Mechanical Engineering
Author for correspondence.
Email: igorgladkov777@gmail.com
Russian Federation, St. Petersburg, 199178
A. M. Linkov
Institute for Problems in Mechanical Engineering; Rzeszow University of Technology
Email: igorgladkov777@gmail.com
Russian Federation, St. Petersburg, 199178; Rzeszow, 35959