Triple-phase-field modeling and simulation for mixed-mode fracture of bedded shale

Jia,Liu1,2; Yi,Xue1,2,3; Huimin,Wang4; Shi-Tong,Li5; Yong,Fu6; Kai,Yao7

2024-04

Engineering Fracture Mechanics   影响因子和分区

0013-7944

Comprehending the intricate mechanics and fracture characteristics of shale holds significant importance in the realm of controlling the reconstruction of shale gas reservoirs. It is noteworthy that shale typically exhibits a distinctive bedding structure which sets it apart from other geological formations. Previously, single-mode cracks in shale have been widely studied by former researchers. However, its matrix and bedding may undergo various fracture modes under loading due to the bedded structure. To effectively capture the mixed-mode fracture behavior observed, a triple-phase-field model is proposed in this paper. Three phase-field variables are introduced herein to track pure-tension, tensile-shear, and compressive-shear cracks in the matrix and bedding, respectively. The energetic driving forces governing the propagation of pure-tension and tensile-shear cracks are formulated through the spectrum decomposition of positive strain tensor with its volumetric and deviatoric components; while the energetic driving force that propels the progression of compressive-shear cracks is derived by employing the Mohr-Coulomb criterion within the context of the negative strain tensor. For the bedding plane, lower-dimensional interfacial elements are adopted to capture the mixed-mode fracture. Based on the above triple-phase-field model, both 2D and 3D problems are modeled with good results. The heterogeneity of material is also considered. The simulations reveal that the compression strength and fracture mode of bedded shale are highly related to the orientations of the bedding plane and pre-existing fissure.

Bedded shale Mixed-mode fracture Numerical simulation Triple-phase-field model Uniaxial compression

SCI

英语

通讯

Elsevier BV

ENGINEERING

2-s2.0-85187213413

人工提交

1.State Key Laboratory of Eco-hydraulics in Northwest Arid Region, Xi’an University of Technology, Xi’an 710048, China
2.School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China
3.State Key Laboratory Cultivation Base for Gas Geology and Gas Control, Henan Polytechnic University, Jiaozuo 454000, China
4.College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
5.Department of Civil and Environmental Engineering, National University of Singapore, Singapore 117576, Singapore
6.Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
7.School of Qilu Transportation, Shandong University, Jinan 250002, China

Jia,Liu,Yi,Xue,Huimin,Wang,et al. Triple-phase-field modeling and simulation for mixed-mode fracture of bedded shale[J]. Engineering Fracture Mechanics,2024,300:109993.

Jia,Liu,Yi,Xue,Huimin,Wang,Shi-Tong,Li,Yong,Fu,&Kai,Yao.(2024).Triple-phase-field modeling and simulation for mixed-mode fracture of bedded shale.Engineering Fracture Mechanics,300,109993.

Jia,Liu,et al."Triple-phase-field modeling and simulation for mixed-mode fracture of bedded shale".Engineering Fracture Mechanics 300(2024):109993.