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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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

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	Articles by authors
	MA Enlin1
	LAI Jinxing2
	WANG Wanfeng3
	QIU Junling2

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MA Enlin1,LAI Jinxing2,WANG Wanfeng3, et al. Propagation and water inrush mechanisms of concealed karst fissures with consideration of mixed-mode I–II fracture toughness[J]. , 2025, 44(7): 1808-1827.

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

[1]	李术才，许振浩，黄鑫，等. 隧道突水突泥致灾构造分类、地质判识、孕灾模式与典型案例分析[J]. 岩石力学与工程学报，2018，37(5)：1 041-1 069.(LI Shucai，XU Zhenhao，HUANG Xin，et al. Classification，geological identification，hazard mode and typical case studies of hazard-causing structures for water and mud inrush in tunnels[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(5)：1 041-1 069.(in Chinese))
[2]	许振浩，邵瑞琦，林鹏，等. 隧道不良地质识别：方法，现状及智能化发展方向[J]. 地球学报，2024，45(1)：5-24.(XU Zhenhao，SHAO Ruiqi，LIN Peng，et al. Adverse geology identification in tunnel：Method，research status and intelligent development direction[J]. Acta Geoscientia Sinica，2024，45(1)：5-24.(in Chinese))
[3]	许振浩，李术才，李利平，等. 一种典型的岩溶隧道衬砌压裂突水灾害成因与防治[J]. 岩石力学与工程学报，2011，30(7)：1 396-1 404. (XU Zhenhao，LI Shucai，LI Liping，et al. Cause，disaster prevention and controlling of a typical kind of water inrush and lining fracturing in karst tunnels[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(7)：1 396-1 404.(in Chinese))
[4]	黄润秋，王贤能，陈龙生. 深埋隧道涌水过程的水力劈裂作用分析[J]. 岩石力学与工程学报，2000，19(5)：573-576.(HUANG Runqiu，WANG Xianneng，CHEN Longsheng. Hydro-splitting off analysis on underground water in deep-lying tunnels and its effect on water gushing out[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(5)：573-576.(in Chinese))
[5]	周群力. 岩石压剪断裂判据及其应用[J]. 岩土工程学报，1987，9(3)：33-37.(ZHOU Qunli. Compress shear fracture criterion of rock and its application[J]. Chinese Journal of Geotechnical Engineering，1987，9(3)：33-37.(in Chinese))
[6]	李利平，李术才，张庆松. 岩溶地区隧道裂隙水突出力学机制研究[J]. 岩土力学，2010，31(2)：523-528.(LI Liping，LI Shucai，ZHANG Qingsong. Study of mechanism of water inrush induced by hydraulic fracturing in karst tunnels[J]. Rock and Soil Mechanics，2010，31(2)：523-528.(in Chinese))
[7]	李宗利，张宏朝，任青文，等. 岩石裂纹水力劈裂分析与临界水压计算[J]. 岩土力学，2005，26(8)：1 216-1 220.(LI Zongli，ZHANG Hongchao，REN Qingwen，et al. Analysis of hydraulic fracturing and calculation of critical internal water pressure of rock fracture[J]. Rock and Soil Mechanics，2005，26(8)：1 216-1 220.(in Chinese))
[8]	张志成，唐德高，戎晓力，等. 岩溶隧道含水裂缝扩展规律研究[J]. 长江科学院院报，2017，34(6)：132-137.(ZHANG Zhicheng，TANG Degao，RONG Xiaoli，et al. Law of the extension of water-bearing fractures in karst tunnels[J]. Journal of Yangtze River Scientific Research Institute，2017，34(6)：132-137.(in Chinese))
[9]	唐世斌，刘向君，罗江，等. 水压诱发裂缝拉伸与剪切破裂的理论模型研究[J]. 岩石力学与工程学报，2017，36(9)：2 124-2 135. (TANG Shibin，LIU Xiangjun，LUO Jiang，et al. Theoretical model for tensile and shear crack initiation at the crack tip in rock subjected to hydraulic pressure[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(9)：2 124-2 135.(in Chinese))
[10]	CHO N，MARTIN C D，SEGO D C. Development of a shear zone in brittle rock subjected to direct shear[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(8)：1 335-1 346.
[11]	BACKERS T，STEPHANSSON O，RYBACKI E. Rock fracture toughness testing in Mode II—punch-through shear test[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(6)：755-769.
[12]	ERDOGAN F，SIH G C. On the crack extension in plates under plane loading and transverse shear[J]. Journal of Basic Engineering，1963，85(4)：519-525.
[13]	HUSSAIN M A，PU S L，UNDERWOOD J. Strain energy release rate for a crack under combined mode I and mode II[C]//American Society for Testing and Materials. [S. l.]：[s. n.]，1974：27.
[14]	SIH G C. Strain-energy-density factor applied to mixed mode crack problems[J]. International Journal of Fracture，1974，10：305-321.
[15]	SHEN B，STEPHANSSON O. Modification of the G-criterion for crack propagation subjected to compression[J]. Engineering Fracture Mechanics，1994，47(2)：177-189.
[16]	唐世斌，张恒. 岩石材料裂纹尖端起裂特性研究[J]. 岩石力学与工程学报，2017，36(3)：552-561.(TANG Shibin，ZHANG Heng. The characteristics of crack initiation at the crack tip in rock material[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(3)：552-561.(in Chinese))
[17]	TANG S B，BAO C Y，LIU H Y. Brittle fracture of rock under combined tensile and compressive loading conditions[J]. Canadian Geotechnical Journal，2017，54(1)：88-101.
[18]	董卓. 岩石水力裂缝起裂与扩展特性的理论及数值模拟研究[博士学位论文][D]. 大连：大连理工大学，2021.(DONG Zhuo. Theoretical and Numerical Simulation of the Rock Hydraulic Fracture Initiation and Propagation behavior[Ph. D. Thesis][D]. Dalian：Dalian University of Technology，2021.(in Chinese))
[19]	黄诗渊，王俊杰，王爱国，等. 压剪作用下压实黏土断裂破坏机制及断裂准则[J]. 岩土工程学报，2021，43(3)：492-501.(HUANG Shiyuan，WANG Junjie，WANG Aiguo，et al. Fracture failure mechanism and fracture criterion of compacted clay under compression and shear action[J]. Chinese Journal of Geotechnical Engineering，2021，43(3)：492-501.(in Chinese))
[20]	王俊杰，黄诗渊，郭万里，等. 考虑裂缝几何特性和T应力的类岩石材料压剪张拉断裂准则[J]. 岩土工程学报，2020，42(9)：1 622-1 631.(WANG Junjie，HUANG Shiyuan，GUO Wanli，et al. Compression-shear tension fracture criteria for rock-like materials considering geometric characteristics of cracks and T-stresses[J]. Chinese Journal of Geotechnical Engineering，2020，42(9)：1 622-1 631.(in Chinese))
[21]	FAN Y，ZHU Z，ZHAO Y，et al. Analytical solution of T-stresses for an inclined crack in compression[J]. International Journal of Rock Mechanics and Mining Sciences，2021，138：104433.
[22]	唐世斌，孙康，张永亮. 含张开/闭合裂隙的巴西圆盘裂纹扩展过程[J]. 煤炭学报，2021，46(11)：3 459-3 469.(TANG Shibin，SUN Kang，ZHANG Yongliang. Fracture growth of Brazilian disk with open/closed cracks[J]. Journal of China Coal Society，2021，46(11)：3 459-3 469.(in Chinese))
[23]	李浩，唐世斌，马立强，等. 采动覆岩渐进破坏的连续-离散耦合模拟研究[J]. 岩石力学与工程学报，2022，41(11)：2 299-2 310. (LI Hao，TANG Shibin，MA Liqiang，et al. Continuous-discrete coupling simulation of progressive failure of mining overburden rock[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(11)：2 299-2 310.(in Chinese))
[24]	TANG S B，DONG Z，WANG J X，et al. A numerical study of fracture initiation under different loads during hydraulic fracturing[J]. Journal of Central South University，2020，27(12)：3 875-3 887.
[25]	董卓，唐世斌. 基于最大周向应变断裂准则定向射孔水力裂缝扩展研究[J]. 岩土力学，2019，40(11)：4 543-4 553.(DONG Zhuo，TANG Shibin. Oriented perforation hydraulic fracture propagation based on the maximum tangential strain criterion[J]. Rock and Soil Mechanics，2019，40(11)：4 543-4 553.(in Chinese))
[26]	董卓，唐世斌，郎颖娴. 基于最小应变能密度因子断裂准则的岩石裂纹水力压裂研究[J]. 工程科学学报，2019，41(4)：436-446.(DONG Zhuo，TANG Shibin，LANG Yingxian. Hydraulic fracture prediction theory based on the minimumstrain energy density criterion[J]. Chinese Journal of Engineering，2019，41(4)：436-446.(in Chinese))
[27]	郭佳奇. 岩溶隧道防突厚度及突水机制研究[博士学位论文][D]. 北京：北京交通大学，2011.(GUO Jiaqi. Study on against-inrush thickness and waterburst mechanism of karst tunnel[Ph. D. Thesis][D]. Beijing：Beijing Jiaotong University，2011.(in Chinese))
[28]	陈篪. 论裂纹扩展的判据[J]. 金属学报，1977，13(1/2)：57-72.(CHEN Chi. On the criterion for crack extension[J]. Acta Metallurgica Sinica，1977，13(1/2)：57-72.(in Chinese))
[29]	CHEN J，ZHOU X，ZHOU L，et al. Simple and effective approach to modeling crack propagation in the framework of extended finite element method[J]. Theoretical and Applied Fracture Mechanics，2020，106：102452.
[30]	黄诗渊. 关于“压剪作用下多节理类岩试样力学性质及破坏判据研究”的讨论[J]. 岩土力学，2019，40(4)：1 623-1 625.(HUANG Shiyuan. Discussion on “Mechanical properties and failure criteria of multi-joint rock-like specimens under compression-shear”[J]. Rock and Soil Mechanics，2019，40(4)：1 623-1 625.(in Chinese))
[31]	高青鹏，曹平，王飞，等. 压剪作用下多节理类岩试样力学性质及破坏判据[J]. 岩土力学，2019，40(3)：1 013-1 022.(GAO Qingpeng，CAO Ping，WANG Fei，et al. Mechanical properties and failure criteria of multi-joint rock-like specimens under compression-shear[J]. Rock and Soil Mechanics，2019，40(3)：1 013-1 022.(in Chinese))
[32]	高青鹏，曹平，王飞，等. 关于“压剪作用下多节理类岩试样力学性质及破坏判据研究”的讨论回复[J]. 岩土力学，2019，40(4)：1 626.(GAO Qingpeng，CAO Ping，WANG Fei，et al. Reply to the discussion on “Mechanical properties and failure criteria of multi-joint rock-like specimens under compression-shear”[J]. Rock and Soil Mechanics，2019，40(4)：1 626.(in Chinese))
[33]	WILLIAMS J G，EWING P D. Fracture under complex stress—the angled crack problem[J]. International Journal of Fracture Mechanics，1972，8(4)：441-446.
[34]	李世愚，和泰名，尹祥础，等. 岩石断裂力学导论[M]. 合肥：中国科学技术大学出版社，2010：75-89.(LI Shiyu，HE Taiming，YIN Xiangchu，et al. Introduction of rock fracture mechanics[M]. Hefei：University of Science and Technology of China Press，2010：75-89.(in Chinese))
[35]	WANG Y，WANG W，ZHANG B，et al. A review on mixed mode fracture of metals[J]. Engineering Fracture Mechanics，2020，235：107126.
[36]	程靳，赵树山. 断裂力学[M]. 北京：科学出版社，2006：33-39.(CHENG Jin，ZHAO Shushan. Fracture mechanics[M]. Beijing：Science Press，2006：33-39.(in Chinese))
[37]	RICHARD H A，EBERLEIN A，KULLMER G. Concepts and experimental results for stable and unstable crack growth under 3D-mixed-mode-loadings[J]. Engineering Fracture Mechanics，2017，174：10-20.
[38]	LIU H. Wing-crack initiation angle：a new maximum tangential stress criterion by considering T-stress[J]. Engineering Fracture Mechanics，2018，199：380-391.
[39]	SCHMIDT R A. A microcrack model and its significance to hydraulic fracturing and fracture toughness testing[C]// Proceedings of the 21st US Symposium on Rock Mechanics. Rolla，Missouri：[s. n.]，1980：581-590.
[40]	AYATOLLAHI M R，ALIHA M R M. On the use of Brazilian disc specimen for calculating mixed mode I-II fracture toughness of rock materials[J]. Engineering Fracture Mechanics，2008，75(16)：4 631-4 641.
[41]	CHAKER C，BARQUINS M. Sliding effect on branch crack[J]. Physics and Chemistry of the Earth，1996，21(4)：319-323.
[42]	BOBET A. The initiation of secondary cracks in compression[J]. Engineering Fracture Mechanics，2000，66(2)：187-219.
[43]	COTTERELL B. Brittle fracture in compression[J]. International Journal of Fracture Mechanics，1972，8(2)：195-208.
[44]	WOO C W，CHOW C L. On inclined crack under compressive loading[C]// Proceedings of ICF International Symposium on Fracture Mechanics. Beijing：Science Press，1983：251-257.
[45]	PARK C H，BOBET A. Crack initiation，propagation and coalescence from frictional flaws in uniaxial compression[J]. Engineering Fracture Mechanics，2010，77(14)：2 727-2 748.
[46]	YANG S Q，JING H W. Strength failure and crack coalescence behavior of brittle sandstone samples containing a single fissure under uniaxial compression[J]. International Journal of Fracture，2011，168：227-250.
[47]	MILLER T C. Analysis of mixed-mode cracks in a rubbery particulate composite[J]. Composites Part B：Engineering，2000，31(4)：319-325.
[48]	RINNE M. Fracture mechanics and subcritical crack growth approach to model time-dependent failure in brittle rock[Ph. D. Thesis][D]. Helsinki：Helsinki University of Technology，Helsinki：2008.
[49]	GRIFFITH A A. The phenomena of rupture and flow in solids[M]. [S. l.]：Philosophical Transactions of the Royal Society of London，1921：163-198.
[50]	IRWIN G R. Analysis of stresses and strains near the end of a crack traversing a plate[J]. Journal of Applied Mechanics，1957，24(3)：361-364.
[51]	JIN X C. An integrated geomechanics and petrophysics study of hydraulic fracturing in naturally fractured reservoirs[Ph. D. Thesis][D]. Oklahoma：University of Oklahoma，2014.
[52]	SHEN B，STEPHANSSON O，RINNE M. Modelling rock fracturing processes：Theories，methods，and applications[M]. Cham：Springer International Publishing，2020：105-134.
[53]	JANISZEWSKI M，SHEN B，RINNE M. Simulation of the interactions between hydraulic and natural fractures using a fracture mechanics approach[J]. Journal of Rock Mechanics and Geotechnical Engineering，2019，11(6)：1 138-1 150.
[54]	周家文，徐卫亚，石崇. 基于破坏准则的岩石压剪断裂判据研究[J]. 岩石力学与工程学报，2007，26(6)：1 194-1 201.(ZHOU Jiawen，XU Weiya，SHI Chong. Investigation on compression-shear fracture criterion of rock based on failure criteria[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(6)：1 194-1 201.(in Chinese))
[55]	BROWN E T，HOEK E. Trends in relationships between measured rock in situ stress and depth[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1978，15：211-215.
[56]	CHEN Z Q，HE C，YANG W B，et al. Impacts of geological conditions on instability causes and mechanical behavior of large-scale tunnels：A case study from the Sichuan—Xizang highway，China[J]. Bulletin of Engineering Geology and the Environment，2020，79：3 667-3 688.