岩体水力劈裂机制圆筒模型试验及解析理论研究
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摘要
针对厚壁圆筒试件进行9组近30个试样的水力劈裂试验研究。通过对试验成果分析发现,在以往研究水力劈裂问题中,以著名的厚壁圆筒Lame公式为理论基础的分析方法是错误的。提出水力劈裂问题中渗透力作用机制。以弹性力学为基础,通过严密的数学力学理论推导,提出在稳定渗流作用下厚壁圆筒应力分布解析解(应用商业软件对该解析解进行验证),为岩土体的水力劈裂问题深入研究打下较严密的理论基础。针对试验成果,初步探讨厚壁圆筒水力劈裂破坏条件,提出发生水力劈裂破坏的半经验理论判别关系。
Nine groups of hydraulic fracturing tests of thirty thick-wall cylinder samples are performed;and the experimental results are analyzed.The analytical methods reported in some studies based on Lame′s formula of the thick-wall cylinder are incorrect.Infiltration theory of hydraulic fracturing is presented.Based on elasticity mechanics and mathematics,an analytic distribution result of thick-wall cylinder under stable infiltration is put forward and it is verified by commercial software.A rigorous theory foundation is established for the research of hydraulic fracturing of rock masses.Failure condition of thick-wall cylinder on hydraulic fracturing is discussed.And a semi-empirical formulation on critical stress of hydraulic fracturing is presented.
Nine groups of hydraulic fracturing tests of thirty thick-wall cylinder samples are performed;and the experimental results are analyzed.The analytical methods reported in some studies based on Lame′s formula of the thick-wall cylinder are incorrect.Infiltration theory of hydraulic fracturing is presented.Based on elasticity mechanics and mathematics,an analytic distribution result of thick-wall cylinder under stable infiltration is put forward and it is verified by commercial software.A rigorous theory foundation is established for the research of hydraulic fracturing of rock masses.Failure condition of thick-wall cylinder on hydraulic fracturing is discussed.And a semi-empirical formulation on critical stress of hydraulic fracturing is presented.
引文
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[11]王鹰,陈强,魏有仪,等.岩溶发育区深埋隧道水岩相互作用机制[J].中国铁道科学,2004,25(4):55–58.(WANG Ying,CHEN Qiang,WEI Youyi,et al.Water/rock interaction mechanism in deep-buried tunnels in karst area[J].China Railway Science,2004,25(4):55–58.(in Chinese))
[12]刘建军,杜广林,薛强.水力压裂的连续损伤模型初探[J].机械强度,2004,26(增1):134–137.(LIU Jianjun,DU Guanglin,XUE Qiang.Discussion on continuum damage model of hydraulic fracturing[J].Journal of Mechanical Strength,2004,26(Suppp.1):134–137.(in Chinese))
[13]丁卫华,仵彦卿,蒲毅彬,等.CT技术应用于岩石试验动态观测的新进展[J].冰川冻土,2000,22(3):218–222.(DING Weihua,WU Yanqing,PU Yibin,et al.New progress in real-time detecting of geotechnical experiment by use of X-ray computerized tomography[J].Journal of Glaciolgy and Geocryology,2000,22(3):218–222.(in Chinese))
[14]杨天鸿,谭国焕,唐春安,等.非均匀性对岩石水压致裂过程的影响[J].岩土工程学报,2002,24(6):724–728.(YANG Tianhong,THAM L G,TANG Chun′an,et al.Influence of heterogeneity on hydraulic fracturing in rocks[J].Chinese Jounal of Geotechnical Engineering,2002,24(6):724–728.(in Chinese))
[15]颜玉定,廖远群,吴景浓,等.围压条件下岩石的抗拉强度[J].华南地震,1991,11(2):1–12.(YAN Yuding,LIAO Yuanqun,WU Jingnong,et al.Tension resistant strength of rock under confining pressure[J].South China Journal of Seismology,1991,11(2):1–12.(in Chinese))
[16]速宝玉,谢新华,王国庆.水泥砂浆水力劈裂试验研究[J].岩石力学与工程学报,2006,25(增1):2 952–2 957.(SU Baoyu,XIE Xinhua,WANG Guoqing.Hydraulic fracture test on cement and sand mortar[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.l):2 952–2 957.(in Chinese))
[17]盛金昌,赵坚,速宝玉,等.高水头作用下水工压力隧洞的水力劈裂分析[J].岩石力学与工程学报,2005,24(7):1 226–1 230.(SHENG Jinchang,ZHAO Jian,SU Baoyu,et al.Analysis of hydraulic fracturing in hydraulic tunnels under high water pressure[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(7):1 226–1 230.(in Chinese))
[2]仵彦卿,张倬元.岩体水力学导论[M].成都:西南交通大学出版社,1995.(WU Yanqing,ZHANG Zhuoyuan.Introduction to rock hydraulics[M].Chengdu:Southwest Jiaotong University Press,1995.(in Chinese))
[3]HUBBERT M K,WILLIS D G.Mechanics of hydraulic fracturing[J].Trans.AIME,1957,210:153–168.
[4]高龙生,刘建中,张雪.高压差应力下的水力压裂试验[J].中国地震,1989,5(3):1–7.(GAO Longsheng,LIU Jianzhong,ZHANG Xue.Hydro-fracturing experiment under high differential stress[J].Earthquake Research in China,1989,5(3):1–7.(in Chinese))
[5]吴景浓,吴绵拔.内孔加压三轴条件下岩石的破裂试验研究[J].地震地质,1986,8(2):69–76.(WU Jingnong,WU Mianba.Experimental research of rock fracture under pore-triaxial stress condition[J].Seismology and Geology,1986,8(2):69–76.(in Chinese))
[6]吴景浓.室内岩石水压致裂三轴试验研究[J].岩土工程学报,1986,8(4):61–69.(WU Jingnong.Research on laboratory triaxial test for rock hydro-fracture[J].Chinese Jounal of Geotechnical Engineering,1986,8(4):61–69.(in Chinese))
[7]谢兴华.岩体水力劈裂机制试验及数值模拟研究[博士学位论文][D].南京:河海大学,2004.(XIE Xinghua.Experimental study on hydraulic fracture mechanism of rock mass and numerical simulation[Ph.D.Thesis][D].Nanjing:Hohai University,2004.(in Chinese))
[8]MURDOCH L C,SLACK W W.Forms of hydraulic fractures in shallow fine-grained formations[J].Journal of Geotechnical and Geoenvironment Engineering,2002,128(6):479–487.
[9]王建军.应用水压致裂法测量三维地应力的几个问题[J].岩石力学与工程学报,2000,19(2):229–233.(WANG Jianjun.Several problems in application of hydraulic fracturing method to in-situ 3D stress measurement[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(2):229–233.(in Chinese))
[10]尤明庆.水压致裂法测量地应力方法的研究[J].岩土工程学报,2005,27(3):350–353.(YOU Mingqing.Study on the geo-stresses measurement with hydro-fracture of borehole[J].Chinese Jounal of Geotechnical Engineering,2005,27(3):350–353.(in Chinese))
[11]王鹰,陈强,魏有仪,等.岩溶发育区深埋隧道水岩相互作用机制[J].中国铁道科学,2004,25(4):55–58.(WANG Ying,CHEN Qiang,WEI Youyi,et al.Water/rock interaction mechanism in deep-buried tunnels in karst area[J].China Railway Science,2004,25(4):55–58.(in Chinese))
[12]刘建军,杜广林,薛强.水力压裂的连续损伤模型初探[J].机械强度,2004,26(增1):134–137.(LIU Jianjun,DU Guanglin,XUE Qiang.Discussion on continuum damage model of hydraulic fracturing[J].Journal of Mechanical Strength,2004,26(Suppp.1):134–137.(in Chinese))
[13]丁卫华,仵彦卿,蒲毅彬,等.CT技术应用于岩石试验动态观测的新进展[J].冰川冻土,2000,22(3):218–222.(DING Weihua,WU Yanqing,PU Yibin,et al.New progress in real-time detecting of geotechnical experiment by use of X-ray computerized tomography[J].Journal of Glaciolgy and Geocryology,2000,22(3):218–222.(in Chinese))
[14]杨天鸿,谭国焕,唐春安,等.非均匀性对岩石水压致裂过程的影响[J].岩土工程学报,2002,24(6):724–728.(YANG Tianhong,THAM L G,TANG Chun′an,et al.Influence of heterogeneity on hydraulic fracturing in rocks[J].Chinese Jounal of Geotechnical Engineering,2002,24(6):724–728.(in Chinese))
[15]颜玉定,廖远群,吴景浓,等.围压条件下岩石的抗拉强度[J].华南地震,1991,11(2):1–12.(YAN Yuding,LIAO Yuanqun,WU Jingnong,et al.Tension resistant strength of rock under confining pressure[J].South China Journal of Seismology,1991,11(2):1–12.(in Chinese))
[16]速宝玉,谢新华,王国庆.水泥砂浆水力劈裂试验研究[J].岩石力学与工程学报,2006,25(增1):2 952–2 957.(SU Baoyu,XIE Xinhua,WANG Guoqing.Hydraulic fracture test on cement and sand mortar[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.l):2 952–2 957.(in Chinese))
[17]盛金昌,赵坚,速宝玉,等.高水头作用下水工压力隧洞的水力劈裂分析[J].岩石力学与工程学报,2005,24(7):1 226–1 230.(SHENG Jinchang,ZHAO Jian,SU Baoyu,et al.Analysis of hydraulic fracturing in hydraulic tunnels under high water pressure[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(7):1 226–1 230.(in Chinese))
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