Analytical Investigation of the Dynamics of a Hydraulic Fracture Using the Principle of Incomplete Coupling
- Authors: Ramazanov M.M.1,2, Karakin A.V.1,3, Borisov V.E.1
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Institute for Geothermal Problems, Dagestan Scientific Center
- Oil and Gas Research Institute
- Issue: Vol 10, No 3 (2018)
- Pages: 322-332
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/202348
- DOI: https://doi.org/10.1134/S2070048218030110
- ID: 202348
Cite item
Abstract
An investigation of a self-similar solution of a coupled problem on the creeping flows of a viscous fluid in a hydraulic fracture and the strain and flow in the external poroelastic medium induced by them. The process is governed by injection fluid into a well. The flow in the fracture is described by the Stokes hydrodynamic equations in the approximation of the lubricant layer. The external problem is described by the equations of poroelasticity. The variant of a uniform pressure in the fracture is considered for three-dimensional and two-dimensional cases. In the second case, a self-similar solution can be obtained in an analytical form.
About the authors
M. M. Ramazanov
Keldysh Institute of Applied Mathematics; Institute for Geothermal Problems, Dagestan Scientific Center
Author for correspondence.
Email: mukamay-ipg@mail.ru
Russian Federation, Moscow; Makhachkala
A. V. Karakin
Keldysh Institute of Applied Mathematics; Oil and Gas Research Institute
Email: mukamay-ipg@mail.ru
Russian Federation, Moscow; Moscow
V. E. Borisov
Keldysh Institute of Applied Mathematics
Email: mukamay-ipg@mail.ru
Russian Federation, Moscow