Numerical and Theoretical Analysis on Hydraulic Fracture of Rock Masses Based on Contour Integral and Auto-remeshing Tec
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ORIGINAL PAPER
Numerical and Theoretical Analysis on Hydraulic Fracture of Rock Masses Based on Contour Integral and Autoremeshing Technology Wei Zhang
Received: 8 April 2020 / Accepted: 16 April 2020 Ó Springer Nature Switzerland AG 2020
Abstract The initiation and formation of hydraulic fracture are vital to the prevention of the failures of rock mass structures and the increase of oil production etc. In order to further understand the law and mechanism of hydraulic fracture, The Python language is used to compile the programme for the hydraulic crack propagation based on the Abaqus platform, the auto-remeshing technology is used and and the crack propagation process is realized. The numerical test of hydraulic fracture of No.15 coal roof rock mass in Wangtaipu coal mine under the condition of single and double pre-existing fractures is carried out, and the theoretical mechanism is also discussed, results show that: The ‘‘wing’’ crack first initiates from the crack tip and then develops towards the direction of the maximum principal stress. The crack initiation angle decreases with the increase of the value of hydraulic fracturing factor D ((P - r1)/(r1 - r3)), and the wing crack combination mode includes the tensile-shear mode and the pure tensile mode. KI at the outer side of the crack tip increases during crack propagation and KII changes little, while KI at the inner side increases first and then decreases, and the KII increases after the crack tips coalescence, which indicates that shear effect exists. The research results
W. Zhang (&) Department of Architecture Engineering, Zhejiang Tongji Vocational College of Science and Technology, Hangzhou 311231, Zhejiang, China e-mail: [email protected]
will provide a reference for the understanding of the mechanism of single and double cracks propagation under hydraulic fracturing. Keywords Hydraulic fracture Rock masses Numerical simulation Theoretical analysis Crack propagation Contour integral Auto-remeshing technology
1 Introduction Fractured rock mass is often encountered in rock mechanics and rock engineering (Kuruppu and Mahinda et al. 2012; Chong ad Kuruppu 1984a, b, 1988a, 1991; b; Chong et al. 1987; Singh et al. 1992; Lim et al. 1994a, b). In water conservancy engineering, the fissures in surrounding rock masses of the deep-buried tunnels are easy to expand and penetrate under the condition of high internal water pressure and high in-situ stress, which leads to the instability of the rock mass structure (Kang et al. 2012; Hui et al. 2015). In geotechnical engineering, the cracks existed in fissured rock slope are prone to initiate and propagate under the action of rainfall, deadweight stress and earthquake, which will cause the falling rock mass (Anxing et al. 2018; Lai et al. 2012; Yu et al. 2019). In geotechnical engineering, the cracks existed in fissured rock slope are prone to initiate and propagate under the action of rainfall,
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deadweight stress and earthquake, w
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