基于德鲁克-普拉格准则的围岩损伤区渗透系数研究
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摘要
利用损伤力学,考虑了中间主应力作用,应用德鲁克-普拉格准则,推导了圆形巷道围岩应力场的解析解,给出了围岩渗透系数的表达式,并对孔隙水压力和围岩塑性区域半径与渗透系数之间的关系进行了研究。研究表明:在损伤区域范围内,渗透系数K随着r的增加呈非线性减小,随着孔隙水压力p的增大呈指数增加。研究成果可为巷道在渗流作用下变形破坏计算及稳定性分析提供理论依据。
This research is to provide theoretical basis for the deformation calculation and stability analysis of roadway under seepage action.The analytical solution of circular roadway's surrounding rock stress field,and the expression of surrounding rock's permeability coefficient were put forward in consideration of intermediate principal stress based on Drucker-Prager criterion and Damage Mechanics.Moreover,the relation of permeability coefficient K vs.pore water pressure p,and K vs.radius r of surrounding rock's plastic zone were obtained.Results showed that within the damage area,permeability coefficient K decreased nonlinearly with the increase of r,while increased exponentially with the rise of pore water pressure p.
This research is to provide theoretical basis for the deformation calculation and stability analysis of roadway under seepage action.The analytical solution of circular roadway's surrounding rock stress field,and the expression of surrounding rock's permeability coefficient were put forward in consideration of intermediate principal stress based on Drucker-Prager criterion and Damage Mechanics.Moreover,the relation of permeability coefficient K vs.pore water pressure p,and K vs.radius r of surrounding rock's plastic zone were obtained.Results showed that within the damage area,permeability coefficient K decreased nonlinearly with the increase of r,while increased exponentially with the rise of pore water pressure p.
引文
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[17]谭学术,鲜学福,郑道访.复合岩体力学理论及其应用[M].北京:煤炭工业出版社,1994.(TAN Xue-shu,XIAN Xue-fu,ZHENG Dao-fang.Complex Rock Me-chanics Theory and Application[M].Beijing:Coal In-dustry Press,1994.(in Chinese))
[2]张我华,薛新华.孔隙介质的渗透特性初探[J].岩土力学,2009,30(5):1357-1361.(ZHANG Wo-hua,XUE Xin-hua.Preliminary Study of Permeability of Por-ous Media[J].Rock and Soil Mechanics,2009,30(5):1357-1361.(in Chinese))
[3]周创兵,熊文林.地应力对裂隙岩体渗透特性的影响[J].地震学报,1997,19(2):154-163.(ZHOUChuang-bing,XIONG Wen-lin.The Effect of Geostress onthe Permeability Character of Fractured Rock Mass[J].Acta Seismologica Sinica,1997,19(2):154-163.(inChinese))
[4]郑少河,姚海林,葛修润.渗透压力对裂隙岩体损伤破坏的研究[J].岩土力学,2002,23(6):687-690.(ZHENG Shao-he,YAO Hai-lin,GE Xiu-run.Influenceof Seepage Pressure on Damage of Fractured Rock Mass[J].Rock and Soil Mechanics,2002,23(6):687-690.(in Chinese))
[5]李永乐,刘翠然,刘海宁,等.非饱和土的渗透特性试验研究[J].岩石力学与工程学报,2004,23(22):3861-3865.(LI Yong-le,LIU Cui-ran,LIU Hai-ning.et al.Testing Study on Permeability Characteristic of UnsaturatedSoil[J].Chinese Journal of Rock Mechanics and Engi-neering,2004,23(22):3861-3865.(in Chinese))
[6]刘希亮,罗静,朱维申.深部含水层渗透系数均匀试验研究[J].岩石力学与工程学报,2005,24(16):2989-2993.(LIU Xi-liang,LUO Jing,ZHU Wei-shen.UniformExperimental Study on Permeable Coefficient of Deep Aq-uifer[J].Chinese Journal of Rock Mechanics and Engi-neering,2005,24(16):2989-2993.(in Chinese))
[7]李忠华,官福海,潘一山.基于损伤理论的圆形巷道围岩应力场分析[J].岩土力学,2004,25(增2):160-163.(LI Zhong-hua,GUAN Fu-hai,PAN Yi-shan.A-nalysis of Stress Field of Rock Surrounding Circular Road-way Based on Damage Theory[J].Rock and Soil Me-chanics,2004,25(Sup.2):160-163.(in Chinese))
[8]赵阳升.矿山岩石流体力学[M].北京:煤炭工业出版社,1994.(ZHAO Yang-sheng.Rock Fluid Mechanics inMine[M].Beijing:The Coal Industry Press,1994.(inChinese))
[9]张金才,张玉卓,刘天泉.岩体渗流与煤层底板突水[M].北京:地质出版社,1997.(ZHANG Jin-cai,ZHANG Yu-zhuo,LIU Tian-quan.Rock Mass Permeabil-ity and Coal Mine Water Inrush[M].Beijing:GeologicalPublishing House,1997.(in Chinese))
[10]刘玉石,白家祉,周煜辉,等.考虑井壁岩石损伤时保持井眼稳定的泥浆密度[J].石油学报,1995,16(3):123-128.(LIU Yu-shi,BAI Jia-zhi,ZHOU Yi-hui,etal.Mud Density for Wellbore Stability When FormationRock is Damaged[J].Acta Petrolei Sinica,1995,16(3):123-128.(in Chinese))
[11]LOUIS C.Groundwater Flow in Rock Masses and Its In-fluence on Stability:Rock Mechanics Research Report 10[R].UK:Imperial College,1969.
[12]于学馥,郑颖人.地下工程围岩稳定分析[M].北京:煤炭工业出版社,1983.(YU Xue-fu,ZHENG Ying-ren.Underground Engineering Rock Stability Analysis[M].Beijing:Coal Industry Press,1983.(in Chi-nese))
[13]翟所业,贺宪国.巷道围岩塑性区的德鲁克-普拉格准则解[J].地下空间与工程学报,2005,1(2);223-226.(ZHAI Suo-ye,HE Xian-guo.Solution of D-P Crite-rion of Plastic District of Surrounding Rock of Roadway[J].Chinese Journal of Underground Space and Engi-neering,2005,1(2):223-226.(in Chinese))
[14]荣传新,程桦.地下水渗流对巷道围岩稳定性影响的理论解[J].岩石力学与工程学报,2004,23(5):741-744.(RONG Chuan-xin,CHENG Hua.StabilityAnalysis of Rocks around Tunnel with Groundwater Per-meation[J].Chinese Journal of Rock Mechanics and En-gineering,2004,23(5):741-744.(in Chinese))
[15]徐芝纶.弹性力学简明教程[M].北京:高等教育出版社,1980.(XU Zhi-lun.A Concise Course in Elastic-ity Theory[M].Beijing:Higher Education Press,1980.(in Chinese))
[16]钱鸣高,石平五.矿山压力与岩层控制[M].徐州:中国矿业大学出版社,2003.(QIAN Ming-gao,SHI Ping-wu.Ground Control and Rock Pressure[M].Xuzhou:China University of Mining and Technology Press,2003.(in Chinese))
[17]谭学术,鲜学福,郑道访.复合岩体力学理论及其应用[M].北京:煤炭工业出版社,1994.(TAN Xue-shu,XIAN Xue-fu,ZHENG Dao-fang.Complex Rock Me-chanics Theory and Application[M].Beijing:Coal In-dustry Press,1994.(in Chinese))
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