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Original Paper | Open Access

Numerical study on hydraulic fracture propagation in anisotropic shale considering bedding plane characteristics

Cheng Hua, Jun-Peng Zoua( ), Yu-Yong Jiaob, Hong-Fei Duanb, Quan Zhanga, Xue-Feng Yana
Faculty of Engineering, China University of Geosciences, Wuhan, 430074, Hubei, China
School of Civil Engineering, Sun Yat-Sen University, Zhuhai, 519082, Guangdong, China

Peer review under the responsibility of China University of Petroleum (Beijing).

Edited by Jia-Jia Fei

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Abstract

China possesses abundant shale gas resources. As the core method for enhancing shale gas production, hydraulic fracturing technology has seen increasing application alongside the rapid development of the industry. However, the inherent strong anisotropy of shale results in significant differences in mechanical properties between parallel and perpendicular bedding directions, leading to highly complex crack propagation patterns. This study employs the discrete element method (DEM) to construct numerical models of hydraulic fracturing in shale under varying bedding inclinations. It systematically investigates the hydraulic fracture propagation behavior in bedding shale and quantitatively analyses the effects of in-situ stress conditions and injection rates on crack propagation characteristics and failure modes. The results indicate that the stress distribution calculated by the isotropic DEM model aligns well with the analytical solution, validating the modelʼs reliability. Hydraulic fractures initiate in regions with negative tangential stresses around the wellbore and primarily propagate along bedding planes. The state of in-situ stress significantly influences crack morphology. As the lateral pressure coefficient K0 decreases, the maximum crack propagation length decreased from 114.48 to 92.95 mm, yet interlayer propagation intensifies. The propagation direction increasingly aligns with the direction of maximum principal stress, thereby promoting the development of secondary cracks and increasing the complexity of the fracture network. Increasing the injection rate can significantly enhance maximum crack propagation length from 105.41 to 126.19 mm, reduce fracture tortuosity and roughness, and induce fracture branching to form complex fracture networks. Analysis of micro-failure modes reveals that hydraulic fracturing in shale is dominated by tensile failure. Notably, a decrease in K0 or an increase in injection rate drives a transition in the failure mechanism from a “bedding-dominated” to a “matrix-dominated” regime, characterized by a marked increase in the proportion of matrix tensile failures. These findings provide theoretical support for optimizing fracturing parameters and enhancing reservoir stimulation efficiency in shale gas reservoirs within the Sichuan region.

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Petroleum Science
Pages 6395-6410

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Cite this article:
Hu C, Zou J-P, Jiao Y-Y, et al. Numerical study on hydraulic fracture propagation in anisotropic shale considering bedding plane characteristics. Petroleum Science, 2026, 23(10): 6395-6410. https://doi.org/10.1016/j.petsci.2026.06.006

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Received: 20 January 2026
Revised: 12 March 2026
Accepted: 03 June 2026
Published: 09 June 2026
© 2026 The Authors.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).