Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

Authors
Xiaogang Li, Liangping Yi, Changyin Liu, Zhiyu Sun, Zhaozhong Yang
Corresponding Author
Xiaogang Li
Available Online March 2017.
DOI
https://doi.org/10.2991/msam-17.2017.22How to use a DOI?
Keywords
extended finite element method; hydraulic fracture propagation; the interactive integral; horizontal well
Abstract
This paper proposed a numerical model to simulate the hydraulic fracture propagation based on the extended finite element method(XFEM), in which a fracture representation is explicit and independent of the mesh grid. The fully coupled formulation described various physical phenomena, including the solid skeleton deformation as well as the fluid flow in porous medium, along the fracture and through the fracture sides toward the surrounding porous medium. The interactive integral method is applied to calculate the stress intensity factor in consideration of fluid pressure on fracture faces. The maximum circumferential stress criterion is used for identifying the fracture growth condition and orientation. In comparison with the current existing XFEM models for hydraulic fracturing, this approach neither needs to introduce leak-off coefficient to describe the fluid leak-off phenomenon, nor requires to assume fracture propagation orientation. Data indicates that the model is valid through a comparison of the model numerical solutions with the semi-analytical(KGD) solution . In the end, fractures simultaneously propagate from three perforating clusters in the horizontal well is simulated at the end of this paper.
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Proceedings
2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2017
ISBN
978-94-6252-324-1
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-17.2017.22How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Xiaogang Li
AU  - Liangping Yi
AU  - Changyin Liu
AU  - Zhiyu Sun
AU  - Zhaozhong Yang
PY  - 2017/03
DA  - 2017/03
TI  - Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method
BT  - 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
PB  - Atlantis Press
SP  - 91
EP  - 98
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-17.2017.22
DO  - https://doi.org/10.2991/msam-17.2017.22
ID  - Li2017/03
ER  -