›› 2018, Vol. 39 ›› Issue (9): 3461-3468.doi: 10.16285/j.rsm.2016.2983

• Numerical Analysis • Previous Articles     Next Articles

An extended finite element method for modeling hydraulic fracturing in perilous rock

ZHENG An-xing1, LUO Xian-qi2   

  1. 1. School of Water Conservancy and Environmental Engineering, Zhejiang University of Water Resources and Electric Power, Hangzhou, Zhejiang 310018, China; 2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2016-12-26 Online:2018-09-11 Published:2018-10-08
  • Supported by:

    This work was supported by the Zhejiang Provincial Natural Science Foundation of China (LQ18E090003) and the National Natural Science Foundation of China (51279100).

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Abstract: The perilous rock is one of the typical disasters in the Three Gorges reservoir region. Crack propagation of controlling joint under loads is the key process in failure of perilous rock. The extended finite element method (XFEM) is an effective approach for fracture analysis. The governing equation of XFEM for hydraulic fracture modeling is derived by the virtual work principle of the fracture problem considering the water pressure on crack surface. Then the implement method of XFEM for hydraulic fracture modeling is deduced. The Taibaiyan cliff at Wanzhou is a representative case of massive perilous rocks in the area. The hydraulic fracturing process on this site is simulated and analyzed by extended finite element method. The numerical analysis results show that water pressure in controlling joint of perilous rock is sensitive to the rainstorm condition. With the increases of water pressure in control joint, the tensile stress at the crack tip increases rapidly and the stability of perilous rock decreases; type I crack propagation is the main form of crack propagation in perilous rock and the crack propagation is non-steady propagation.

Key words: perilous rock, hydraulic fracture, extended finite elements method, fracture, numerical simulation

CLC Number: 

  • TU 452

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