矿井突水灾变过程电阻率约束反演成像实时监测模拟研究
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摘要
为实现矿井突水灾变的实时监测与灾变前兆的预警,提出了突水灾变过程电阻率约束反演成像实时监测方法。首先,将表征网格电阻率变化范围的不等式约束施加到电阻率反演成像方程中,并设计了快速反演算法,有效地改善了反演的多解性与计算效率,据此建立了电阻率约束反演成像实时监测方法。同时,开展了隐伏断层底板突水约束反演成像实时监测的数值试验,利用灰度相关系数理论定量评价了突水过程中的电阻率反演图像主要响应特征:表现为反演图像中岩层断裂、突水通道形成等重要事件及图像灰度相关性系数的基本持续单调发展或信息突变。最后,将实时监测方法应用到矿井突水物理模拟试验中,实现了对裂隙萌生、扩展、岩层断裂等重要突水过程的较真实动态成像,提前813 s准确捕捉到灾变前兆信息,表明电阻率约束反演成像实时监测方法用于突水灾害监测与预警具有良好的可行性。
For real-time monitoring of mine water inrush catastrophic process and early warning of precursory,electrical resistivity constrained inversion imaging method was proposed.First,inequality constraints characterizing variation range of grid resistivity was introduced into electrical resistivity inversion imaging equation.Multiplicity of inversion was inhibited by the means of inequality constraints.Meanwhile,fast inversion algorithm was designed to effectively improve computational efficiency.Then,numerical experiment of micro faults water inrush real-time monitoring using constrained inversion imaging method was carried out.And,by gray correlation theory,inversion image responses characteristics to water inrush precursors were evaluated quantitatively,in which the abnormal events(e.g.,strata fracturing,water inrush channel forming) and gray correlation coefficient of inversion images exhibit monotonic developments or mutation.Finally,real-time monitoring method was applied to physical model test of mine water inrush.It achieves realistically dynamic imaging and monitoring on important processes of water inrush,such as crack generation and propagation,and strata fracturing.And precursor information of water inrush hazard was precisely captured,813 s ahead of inrush.It suggests that real-time monitoring using electrical resistivity constrained inversion imaging method is feasible for mine water inrush monitoring and early warning.
For real-time monitoring of mine water inrush catastrophic process and early warning of precursory,electrical resistivity constrained inversion imaging method was proposed.First,inequality constraints characterizing variation range of grid resistivity was introduced into electrical resistivity inversion imaging equation.Multiplicity of inversion was inhibited by the means of inequality constraints.Meanwhile,fast inversion algorithm was designed to effectively improve computational efficiency.Then,numerical experiment of micro faults water inrush real-time monitoring using constrained inversion imaging method was carried out.And,by gray correlation theory,inversion image responses characteristics to water inrush precursors were evaluated quantitatively,in which the abnormal events(e.g.,strata fracturing,water inrush channel forming) and gray correlation coefficient of inversion images exhibit monotonic developments or mutation.Finally,real-time monitoring method was applied to physical model test of mine water inrush.It achieves realistically dynamic imaging and monitoring on important processes of water inrush,such as crack generation and propagation,and strata fracturing.And precursor information of water inrush hazard was precisely captured,813 s ahead of inrush.It suggests that real-time monitoring using electrical resistivity constrained inversion imaging method is feasible for mine water inrush monitoring and early warning.
引文
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[9]刘树才,刘鑫明,姜志海,等.煤层底板导水裂隙演化规律的电法探测研究[J].岩石力学与工程学报,2009,28(2):348-356.Liu Shucai,Liu Xinming,Jiang Zhihai,et al.Research on electricalprediction for evaluating water conducting fracture zones in coal seamfloor[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(2):348-356.
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[11]刘盛东,杨彩,赵立瑰.含水层渗流突变过程地电场响应的物理模拟[J].煤炭学报,2011,36(5):772-777.Liu Shengdong,Yang Cai,Zhao Ligui.Physical simulation researchon response to geoelectricity of the aquifer in seepage mutationprocess[J].Journal of China Coal Society,2011,36(5):772-777.
[12]Petrick W R Jr,Sill W R,Ward S H.Three dimensional resistivityinversion using alpha centers[J].Geophysics,1981,46(8):1148-1163.
[13]Zohdy A A R.A new method for the automatic interpretation ofSchlumberger and Wenner Sounding curves[J].Geophysics,1989,54(2):245-253.
[14]Yutaka Sasaki.3D resisitivity inversion using the finite-elementmethod[J].Geophysics,1994,59(11):1839-1848.
[15]Adam Pidlisecky,Eldad Haber,Rosemary Knight.RESINVM3D:A3D resistivity inversion package[J].Geophysics,2007,72(2):1-10.
[16]吴小平,徐果明.利用共轭度法的电阻率三维反演研究[J].地球物理学报,2000,43(3):420-426.Wu Xiaoping,Xu Guoming.Study on 3D resistivity inversion usingconjugate gradient method[J].Chinese Journal of Geophysics,2000,43(3):420-426.
[17]闫永利,陈本池,赵永贵,等.电阻率层析成像非线性反演[J].地球物理学报,2009,52(3):758-764.Yan Yongli,Chen Benchi,Zhao Yonggui,et al.Nonlinear inversionfor electrical resistivity tomography[J].Chinese Journal of Geo-physics,2009,52(3):758-764.
[18]Li Yaoguo,Douglas W.Oldenburg.3-D inversion of induced polari-zation data[J].Geophysics,2000,65(6):1931-1945.
[19]孟磊,刘明举,王云刚.构造煤单轴压缩条件下电阻率变化规律的实验研究[J].煤炭学报,2011,35(12):2028-2032.Meng Lei,Liu Mingju,Wang Yungang.Study on the rules of electri-cal resistivity variation of tectonic coal in uniaxial compression ex-periment[J].Journal of China Coal Society,2011,35(12):2028-2032.
[20]纪洪广,向鹏,张磊,等.开采扰动岩体力学性质变异试验研究与探测分析[J].岩石力学与工程学报,2011,30(11):2352-2359.Ji Hongguang,Xiang Peng,Zhang Lei,et al.Experimental studyand detection analysis of mechanical properties variability of rockmass in excavation disturbance[J].Chinese Journal of Rock Me-chanics and Engineering,2011,30(11):2352-2359.
[21]许宏发,钱七虎,王发军,等.电阻率法在深部巷道分区破裂探测中的应用[J].岩石力学与工程学报,2009,28(1):111-119.Xu Hongfa,Qian Qihu,Wang Fajun,et al.Application of electricelectric resistivity method to zonal disintegration exploration ofdeep roadway[J].Chinese Journal of Rock Mechanics and Engi-neering,2009,28(1):111-119.
[22]李连崇,唐春安,李根,等.含隐伏断层煤层底板损伤演化及滞后突水机理分析[J].岩土工程学报,2009,31(12):1838-1844.Li Lianchong,Tang Chun’an,Li Gen,et al.Damage evolution anddelayed groundwater inrush from micro faults in coal seam floor[J].Chinese Journal of Geotechnical Engineering,2009,31(12):1838-1844.
[23]马少鹏,刘善军,赵永红.数字图像灰度相关性用以描述岩石试件损伤演化的研究[J].岩石力学与工程学报,2006,25(3):590-595.Ma Shaopeng,Liu Shanjun,Zhao Yonghong.Gray correlation of dig-ital images from loaded rock specimen surface to evaluate its dam-age evolution[J].Chinese Journal of Rock Mechanics and Engi-neering,2006,25(3):590-595.
[2]施龙青,韩进.底板突水机制及预测预报[M].北京:中国矿业大学出版社,2004.
[3]杨天鸿,唐春安,谭志宏,等.岩体破坏突水模型研究现状及突水预测预报研究发展趋势[J].岩石力学与工程学报,2007,26(2):268-277.Yang Tianhong,Tang Chun’an,Tan Zhihong,et al.State of the art ofinrush models in rock mass failure and developing trend for predic-tion and forecast of groundwater inrush[J].Chinese Journal of RockMechanics and Engineering,2007,26(2):268-277.
[4]姜福兴,叶根喜,王存文,等.高精度微震监测技术在煤矿突水监测中的应用[J].岩石力学与工程学报,2008,27(9):1932-1938.Jiang Fuxing,Ye Genxi,Wang Cunwen,et al.Application of high-precision microseimic monitoring technique to water inrush monito-ring in coal mine[J].Chinese Journal of Rock Mechanics and Engi-neering,2008,27(9):1932-1938.
[5]杜学彬,马占虎,叶青,等.强地震附近电阻率对称四极观测的探测深度[J].地球物理学报,2008,51(6):1943-1949.Du Xuebin,Ma Zhanhu,Ye Qing,et al.The detection depth of sym-metric four-electrode resistivity observation in/near the epicentral re-gion of strong earthquakes[J].Chinese Journal of Geophysics,2008,51(6):1943-1949.
[6]Aristodemou E,Thomas-betts A.DC resistivity and induced polariza-tion investigations at a waste disposal site and its environments[J].Journal of Applied Geophysics,2000,44:275-302.
[7]聂利超,李术才,刘斌,等.电阻率层析成像法探测滑坡面正演模拟与反演成像研究[J].岩土力学,2011,32(9):2873-2879.Nie Lichao,Li Shucai,Liu Bin,et al.Numerical forward and inver-sion imaging research of electrical resistivity tomography method todetection landslide-face location[J].Rock and Soil Mechanics,2011,32(9):2873-2879.
[8]张平松,刘盛东,吴荣新,等.采煤面覆岩变形与破坏立体电法动态测试[J].岩石力学与工程学报,2009,28(9):1870-1875.Zhang Pingsong,Liu Shengdong,Wu Rongxin,et al.Dynamic detec-tion of overburden deformation and failure in mining workface by 3Dresistivity method[J].Chinese Journal of Rock Mechanics and Engi-neering,2009,28(9):1870-1875.
[9]刘树才,刘鑫明,姜志海,等.煤层底板导水裂隙演化规律的电法探测研究[J].岩石力学与工程学报,2009,28(2):348-356.Liu Shucai,Liu Xinming,Jiang Zhihai,et al.Research on electricalprediction for evaluating water conducting fracture zones in coal seamfloor[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(2):348-356.
[10]刘斌,李术才,李树忱,等.电阻率层析成像法监测系统在矿井突水模型试验中的应用研究[J].岩石力学与工程学报,2010,29(2):297-307.Liu Bin,Li Shucai,Li Shuchen,et al.Application and study of ERTmonitoring system to mine water inrush model test[J].ChineseJournal of Rock Mechanics and Engineering,2010,29(2):297-307.
[11]刘盛东,杨彩,赵立瑰.含水层渗流突变过程地电场响应的物理模拟[J].煤炭学报,2011,36(5):772-777.Liu Shengdong,Yang Cai,Zhao Ligui.Physical simulation researchon response to geoelectricity of the aquifer in seepage mutationprocess[J].Journal of China Coal Society,2011,36(5):772-777.
[12]Petrick W R Jr,Sill W R,Ward S H.Three dimensional resistivityinversion using alpha centers[J].Geophysics,1981,46(8):1148-1163.
[13]Zohdy A A R.A new method for the automatic interpretation ofSchlumberger and Wenner Sounding curves[J].Geophysics,1989,54(2):245-253.
[14]Yutaka Sasaki.3D resisitivity inversion using the finite-elementmethod[J].Geophysics,1994,59(11):1839-1848.
[15]Adam Pidlisecky,Eldad Haber,Rosemary Knight.RESINVM3D:A3D resistivity inversion package[J].Geophysics,2007,72(2):1-10.
[16]吴小平,徐果明.利用共轭度法的电阻率三维反演研究[J].地球物理学报,2000,43(3):420-426.Wu Xiaoping,Xu Guoming.Study on 3D resistivity inversion usingconjugate gradient method[J].Chinese Journal of Geophysics,2000,43(3):420-426.
[17]闫永利,陈本池,赵永贵,等.电阻率层析成像非线性反演[J].地球物理学报,2009,52(3):758-764.Yan Yongli,Chen Benchi,Zhao Yonggui,et al.Nonlinear inversionfor electrical resistivity tomography[J].Chinese Journal of Geo-physics,2009,52(3):758-764.
[18]Li Yaoguo,Douglas W.Oldenburg.3-D inversion of induced polari-zation data[J].Geophysics,2000,65(6):1931-1945.
[19]孟磊,刘明举,王云刚.构造煤单轴压缩条件下电阻率变化规律的实验研究[J].煤炭学报,2011,35(12):2028-2032.Meng Lei,Liu Mingju,Wang Yungang.Study on the rules of electri-cal resistivity variation of tectonic coal in uniaxial compression ex-periment[J].Journal of China Coal Society,2011,35(12):2028-2032.
[20]纪洪广,向鹏,张磊,等.开采扰动岩体力学性质变异试验研究与探测分析[J].岩石力学与工程学报,2011,30(11):2352-2359.Ji Hongguang,Xiang Peng,Zhang Lei,et al.Experimental studyand detection analysis of mechanical properties variability of rockmass in excavation disturbance[J].Chinese Journal of Rock Me-chanics and Engineering,2011,30(11):2352-2359.
[21]许宏发,钱七虎,王发军,等.电阻率法在深部巷道分区破裂探测中的应用[J].岩石力学与工程学报,2009,28(1):111-119.Xu Hongfa,Qian Qihu,Wang Fajun,et al.Application of electricelectric resistivity method to zonal disintegration exploration ofdeep roadway[J].Chinese Journal of Rock Mechanics and Engi-neering,2009,28(1):111-119.
[22]李连崇,唐春安,李根,等.含隐伏断层煤层底板损伤演化及滞后突水机理分析[J].岩土工程学报,2009,31(12):1838-1844.Li Lianchong,Tang Chun’an,Li Gen,et al.Damage evolution anddelayed groundwater inrush from micro faults in coal seam floor[J].Chinese Journal of Geotechnical Engineering,2009,31(12):1838-1844.
[23]马少鹏,刘善军,赵永红.数字图像灰度相关性用以描述岩石试件损伤演化的研究[J].岩石力学与工程学报,2006,25(3):590-595.Ma Shaopeng,Liu Shanjun,Zhao Yonghong.Gray correlation of dig-ital images from loaded rock specimen surface to evaluate its dam-age evolution[J].Chinese Journal of Rock Mechanics and Engi-neering,2006,25(3):590-595.
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