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In this paper, a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing. The algorithm utilizes a FEM-based subroutine to compute deformation of the fractured material. The flow of generalized Newtonian fluid in the fracture is modeled in the framework of lubrication theory. In this way, the architecture of the computational scheme is relatively simple and enables one to deal with advanced cases of the fractured material properties and configurations as well as various rheological models of fluid. In particular, the problems of poroelasticity, plasticity, and spatially varying properties of the fractured material can be analyzed. The accuracy and efficiency of the proposed algorithm are verified against analytical benchmark solutions. The algorithm capabilities are demonstrated using the example of the hydraulic fracture propagating in complex geological settings.
|Number of pages||26|
|Journal||International Journal for Numerical and Analytical Methods in Geomechanics|
|Early online date||25 May 2022|
|Publication status||Published - 09 Aug 2022|
- hydraulic fracture
- numerical simulations
- plane strain crack
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- 1 Finished
Ser Cymru IFA - Development of the tip element to account for singular physical fields near the crack tip and various propagation regimes.
01 Jul 2020 → 30 Jun 2021
Project: Externally funded research