上覆岩层裂隙演化逾渗模型研究
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摘要
基于裂隙聚团演化过程表现出的临界特征,利用逾渗理论,建立上覆岩层的逾渗模型,并分别分析沿走向和倾向条件下采动裂隙的逾渗特性.根据相似模拟试验结果,分析采动裂隙演化逾渗特性及周期来压之间的关系.结果表明:所建逾渗模型中逾渗概率、裂隙率、逾渗团大小、竖向破断裂隙概率、离层裂隙概率可以较为完备地定量描述裂隙特征,为建立裂隙与渗透率等相关参量的定量关系提供合适的数学载体.
Based on the critical characteristics of accumulated crack evolution in some concentrated areas and the theory of percolation,the percolation model of the overlying strata has been established.The percolation characteristics of mining-induced cracks along strike and dip were studied.According to the results of the physical modeling test,the relationship between percolation characteristics and periodic roof pressure is obtained.The results show that in the percolation model,crack characteristics could be statistically calculated perfectly and quantitatively by the parameters including percolation probability,crack rate,size of percolation group,probability of cracks through seam and seam separated cracks,which could provide appropriately mathematical carrier for the relationship of cracks and other parameters such as permeability.
Based on the critical characteristics of accumulated crack evolution in some concentrated areas and the theory of percolation,the percolation model of the overlying strata has been established.The percolation characteristics of mining-induced cracks along strike and dip were studied.According to the results of the physical modeling test,the relationship between percolation characteristics and periodic roof pressure is obtained.The results show that in the percolation model,crack characteristics could be statistically calculated perfectly and quantitatively by the parameters including percolation probability,crack rate,size of percolation group,probability of cracks through seam and seam separated cracks,which could provide appropriately mathematical carrier for the relationship of cracks and other parameters such as permeability.
引文
[1]BROADBENT S R,HAMMERSLEY J M.Percolation processes[J].Mathematical Proceedings of the Cambridge Philosophical Society,1957,53(3):629-641.
[2]SHANTE V K S,KIRKPATRICK S.An introduction to percolation theory[J].Advances in Physics,1971,20(85):325-357.
[3]HILDEN L R,MORRIS K R.Physics of amorphous solids[J].Journal of Pharmaceutical Sciences,2004,93(1):3-12.
[4]WILSON C R,WITHERSPOON P A,LONG J C S,et al.Large-scale hydraulic conductivity measurements in fractured granite[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1983,20(6):269-276.
[5]ROBINSON P C.Connectivity of fracture systems:a percolation theory approach[J].Journal of Physics A:Mathematical General,1983,16(3):605-614.
[6]BALBERG I,ANDERSON C H,ALEXANDER S,et al.Excluded volume and its relation to the onset of percolation[J].Physical Review B:Condensed Matter,1984,30(7):3933-3943.
[7]HESTIR K,LONG J C S.Analytical expressions for the permeability of random two-dimensional Poisson fracture networks based on regular lattice percolation and equivalent media theories[J].Journal of Physics Research,1990,95(B13):21565-21581.
[8]BERKOWITZ B.Analysis of fracture network connectivity using percolation theory[J].Mathematical Geology,1995,27(4):467-483.
[9]GRIMMETT G R.Percolation:2nd ed[M].New York:Springer Publishing,1999:378-396.
[10]彭自正,王殚业,许云廷,等.逾渗与岩石破裂的计算机模拟研究[J].西北地震学报,1996,18(1):22-28.PENG Zi-zheng,WANG Dan-ye,XU Yun-ting,et al.A computer simulation study on percolation and rock fracure[J].Northwestern Seismological Journal,1996,18(1):22-28.
[11]刘柏谦,吕太.逾渗理论应用导论[M].北京:科学出版社,1997.
[12]冯增朝.低渗透煤层瓦斯抽放理论与应用研究[D].太原:太原理工大学采矿工艺研究所,2005:14-29.
[13]冯增朝,赵阳升,文再明.煤岩体孔隙裂隙双重介质逾渗机理研究[J].岩石力学与工程学报,2005,24(2):236-240.FENG Zeng-chao,ZHAO Yang-sheng,WEN Zaiming.Percolation mechanism of fractured coal rocks as dual-continua[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(2):236-240.
[14]吕兆兴,冯增朝,赵阳升.孔隙介质中渗流团分形维数的模拟计算方法[J].地下空间与工程学报,2005,1(6):870-873.LYU Zhao-xing,FENG Zeng-chao,ZHAO Yangsheng.Numerical simulation method of fractal dimension of percolation cluster in porous mediums[J].Chinese Journal of Underground Space and Engineering,2005,1(6):870-873.
[15]冯增朝,赵阳升,吕兆兴.强随机分布裂隙介质的二维逾渗规律研究[J].岩石力学与工程学报,2006,25(增2):3904-3908.FENG Zeng-chao,ZHAO Yang-sheng,LYU Zhaoxing.Research on laws of 2D percolation of fully random distribution fracture media[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp 2):3904-3908.
[16]朱大勇,范鹏贤,郭志昆,等.裂隙岩体逾渗模型中渗透概率递推矩阵[J].岩石力学与工程学报,2007,26(2):262-267.ZHU Da-yong,FAN Peng-xian,GUO Zhi-kun,et al.Recurrence matrix of permeable probability in percolation model for fractured rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(2):262-267.
[17]郑委,鲁晓兵,刘庆杰,等.基于双重逾渗模型的裂隙多孔介质连通性研究[J].岩石力学与工程学报,2011,30(6):1289-1296.ZHENG Wei,LU Xiao-bing,LIU Qing-jie,et al.Study of connectivity of fractured porous media based on dual-percolation model[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1289-1296.
[18]邵鹏,张勇,贺永年,等.岩石爆破逾渗断裂行为与块度分布研究[J].中国矿业大学学报,2004,33(6):635-640.SHAO Peng,ZHANG Yong,HE Yong-nian,et al.Percolation fracture behavior and fragmentation distribution in rock blasting[J].Journal of China University of Mining&Technology,2004,33(6):635-640.
[2]SHANTE V K S,KIRKPATRICK S.An introduction to percolation theory[J].Advances in Physics,1971,20(85):325-357.
[3]HILDEN L R,MORRIS K R.Physics of amorphous solids[J].Journal of Pharmaceutical Sciences,2004,93(1):3-12.
[4]WILSON C R,WITHERSPOON P A,LONG J C S,et al.Large-scale hydraulic conductivity measurements in fractured granite[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1983,20(6):269-276.
[5]ROBINSON P C.Connectivity of fracture systems:a percolation theory approach[J].Journal of Physics A:Mathematical General,1983,16(3):605-614.
[6]BALBERG I,ANDERSON C H,ALEXANDER S,et al.Excluded volume and its relation to the onset of percolation[J].Physical Review B:Condensed Matter,1984,30(7):3933-3943.
[7]HESTIR K,LONG J C S.Analytical expressions for the permeability of random two-dimensional Poisson fracture networks based on regular lattice percolation and equivalent media theories[J].Journal of Physics Research,1990,95(B13):21565-21581.
[8]BERKOWITZ B.Analysis of fracture network connectivity using percolation theory[J].Mathematical Geology,1995,27(4):467-483.
[9]GRIMMETT G R.Percolation:2nd ed[M].New York:Springer Publishing,1999:378-396.
[10]彭自正,王殚业,许云廷,等.逾渗与岩石破裂的计算机模拟研究[J].西北地震学报,1996,18(1):22-28.PENG Zi-zheng,WANG Dan-ye,XU Yun-ting,et al.A computer simulation study on percolation and rock fracure[J].Northwestern Seismological Journal,1996,18(1):22-28.
[11]刘柏谦,吕太.逾渗理论应用导论[M].北京:科学出版社,1997.
[12]冯增朝.低渗透煤层瓦斯抽放理论与应用研究[D].太原:太原理工大学采矿工艺研究所,2005:14-29.
[13]冯增朝,赵阳升,文再明.煤岩体孔隙裂隙双重介质逾渗机理研究[J].岩石力学与工程学报,2005,24(2):236-240.FENG Zeng-chao,ZHAO Yang-sheng,WEN Zaiming.Percolation mechanism of fractured coal rocks as dual-continua[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(2):236-240.
[14]吕兆兴,冯增朝,赵阳升.孔隙介质中渗流团分形维数的模拟计算方法[J].地下空间与工程学报,2005,1(6):870-873.LYU Zhao-xing,FENG Zeng-chao,ZHAO Yangsheng.Numerical simulation method of fractal dimension of percolation cluster in porous mediums[J].Chinese Journal of Underground Space and Engineering,2005,1(6):870-873.
[15]冯增朝,赵阳升,吕兆兴.强随机分布裂隙介质的二维逾渗规律研究[J].岩石力学与工程学报,2006,25(增2):3904-3908.FENG Zeng-chao,ZHAO Yang-sheng,LYU Zhaoxing.Research on laws of 2D percolation of fully random distribution fracture media[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp 2):3904-3908.
[16]朱大勇,范鹏贤,郭志昆,等.裂隙岩体逾渗模型中渗透概率递推矩阵[J].岩石力学与工程学报,2007,26(2):262-267.ZHU Da-yong,FAN Peng-xian,GUO Zhi-kun,et al.Recurrence matrix of permeable probability in percolation model for fractured rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(2):262-267.
[17]郑委,鲁晓兵,刘庆杰,等.基于双重逾渗模型的裂隙多孔介质连通性研究[J].岩石力学与工程学报,2011,30(6):1289-1296.ZHENG Wei,LU Xiao-bing,LIU Qing-jie,et al.Study of connectivity of fractured porous media based on dual-percolation model[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1289-1296.
[18]邵鹏,张勇,贺永年,等.岩石爆破逾渗断裂行为与块度分布研究[J].中国矿业大学学报,2004,33(6):635-640.SHAO Peng,ZHANG Yong,HE Yong-nian,et al.Percolation fracture behavior and fragmentation distribution in rock blasting[J].Journal of China University of Mining&Technology,2004,33(6):635-640.
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