考虑I–II型断裂韧度的隐伏溶蚀裂隙扩展突水机制

doi:10.3724/1000-6915.jrme.2024.0157

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摘要在自然营造力作用下，隐伏溶蚀裂隙多属压剪应力状态。为建立有效的拉伸–剪切开裂判据，首先通过最大周向应力（MTS）准则建立含水压隐伏溶蚀裂隙断裂临界条件，然后根据莫尔–库仑强度理论建立剪切断裂准则。最后，参考改进后的最大能量释放率准则量纲形式，结合以上拉伸–剪切断裂准则建立基于KIC和KIIC的I–II型复合断裂准则（M准则），可视为MTS准则在II型成分较大时的修正准则，改进了MTS准则仅考虑周向应力?θ且仅以KIC作为开裂阈值这一局限性，综合考虑了剪应力分量τrθ和KIIC的影响。依托梁王山隧道地应力、围岩参数测试以及溶蚀裂隙现场调查结果，基于位移不连续边界元数值方法对比分析不同幂次形式的M准则，验证所提出的复合断裂准则在裂缝扩展临界条件预测方面优于MTS准则，更适用于自然水压条件下以压剪应力为主的溶蚀裂隙扩展突水问题。

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	马恩临1
	赖金星2
	王万锋3
	邱军领2

关键词 ：岩石力学, 溶蚀裂隙, 断裂准则, 位移不连续法, 裂缝扩展

Abstract：Under the influence of natural geological forces, concealed karst fissures are primarily subjected to compressive-shear stress states. To establish an effective tensile-shear fracturing criterion, this study first identifies the critical conditions for the fracture of water-pressurized concealed karst fissures using the maximum tangential stress (MTS) criterion. Subsequently, a shear fracture criterion is formulated based on the Mohr-Coulomb strength theory. By referencing the dimensional form of the improved maximum energy release rate criterion and integrating the aforementioned tensile-shear fracture criteria, a composite fracture criterion (M criterion) is developed based on KIC and KIIC for I–II type fracturing. This criterion refines the MTS criterion when the II-type component predominates, addressing the limitation of the MTS criterion that considers only the tangential stress ?θ and uses KIC as the crack initiation threshold. It incorporates the shear stress component ?rθ and KIIC as well. Comparative analyses of M-criteria with different power exponents were conducted using the displacement discontinuity boundary element method, based on geological stress, rock parameters from Liangwangshan Tunnel tests, and field investigation results of karst fissures. Results validate that the proposed composite fracture criterion outperforms the MTS criterion in predicting critical conditions for fracture propagation, making it more applicable to water inrush problems involving karst fissure propagation under natural hydraulic pressure where compressive-shear stress is dominant.

Key words： rock mechanics karst fissures fracture criterion discontinuous displacement method fracture propagation

引用本文:

马恩临1，赖金星2，王万锋3，邱军领2. 考虑I–II型断裂韧度的隐伏溶蚀裂隙扩展突水机制[J]. 岩石力学与工程学报, 2025, 44(7): 1808-1827.
MA Enlin1, LAI Jinxing2, WANG Wanfeng3, QIU Junling2. Propagation and water inrush mechanisms of concealed karst fissures with consideration of mixed-mode I–II fracture toughness. , 2025, 44(7): 1808-1827.

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https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2024.0157 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I7/1808

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