地下洞室变形监测数据的盒维数分形特征分析
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摘要
在某大型地下洞室群工程的断面变形收敛监测过程中发现其时程曲线的波动程度有着明显的规律性,引入一维盒维数来定量描述该特征,在试算结果基础上探讨了其与围岩性质相关的力学含义。进而,通过采用该指标比较不同监测断面计算结果的差异,印证了盒维数与围岩完整性的对应关系。更进一步,分析各断面的空间位置及其盒维数值的关系,得出了整个区域内围岩完整性的演变规律。最终,由后继开挖过程揭露的围岩情况,证明整个推理过程和结论的有效性。
During processing of section deformation's convergent data of large underground cavern group engineering,obvious regularity is found at degree of fluctuation of the time history curve.Therefore,one-dimensional box dimension is introduced to quantitative description of this feature;and then relevant mechanical meaning of properties of surrounding rock is discussed based on the testing calculation results.Furthermore,the index is used to compare variation of the results of different monitoring cross-sections;and the corresponding relationship between integrity of rock and box dimension is confirmed.Through analyzing the relationship of various sections' spatial locations and their box dimension values,the evolution tendency of rock's integrity on the whole region is drawn.Finally,validity of the paper's inference is proved by surrounding rock conditions which is revealed by subsequent excavation.
During processing of section deformation's convergent data of large underground cavern group engineering,obvious regularity is found at degree of fluctuation of the time history curve.Therefore,one-dimensional box dimension is introduced to quantitative description of this feature;and then relevant mechanical meaning of properties of surrounding rock is discussed based on the testing calculation results.Furthermore,the index is used to compare variation of the results of different monitoring cross-sections;and the corresponding relationship between integrity of rock and box dimension is confirmed.Through analyzing the relationship of various sections' spatial locations and their box dimension values,the evolution tendency of rock's integrity on the whole region is drawn.Finally,validity of the paper's inference is proved by surrounding rock conditions which is revealed by subsequent excavation.
引文
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[12]钟明寿,龙源,谢全民,等.基于分形盒维数和多重分形的爆破地震波信号分析[J].振动与冲击,2010,29(1):7-11.ZHONG Ming-shou,LONG Yuan,XIE Quan-min,et al.Stochastic evolution model of a neuronal oscillator population with higher order coupling[J].Journal of Vibration and Shock.2010,29(1):7-11.
[13]龙源,晏俊伟,娄建武.基于分形理论的爆破地震信号盒维数研究[J].科技导报,2007,18(4):27-31.LONG Yuan,YAN Jun-wei,LOU Jian-wu,et al.Research on the box dimension of blasting seismic wave based on the fractal theory[J].Science&Technology Review,2007,18(4):27-31.
[14]王炳雪,史忠科,吴方向.时间序列曲线盒维数的一种快速算法[J].系统工程,2000,18(4):68-72.WHANG Bin-xue,SHI Zhong-ke,WU Fang-xiang.A fast algorithm for determining the box-counting dimension of time series trace[J].Systems Engeering,2000,18(4):68-72.
[15]乔忠云.基于Matlab复合材料磨损表面形貌W-M分形模型及其模拟[J].煤矿机械,2007,28(10):37-38.QIAO Zhong-yun.W-M fractal model and simulation based Matlab composite wearing surface[J].Rock and Soil Mechanics,2007,28(10):37-38
[2]谢和平.分形——岩石力学导论[M].北京:科学出版社,1996.
[3]谢和平,陈志达.分形(fractal)几何与岩石断裂[J].力学学报,1988,20(3):264-271.XIE He-ping,CHEN Zhi-da.Fractal geometry and fracture of rock[J].Acta Mechanica Sinica,1988,20(3):264-271.
[4]谢和平,高峰,周宏伟,等.岩石断裂和破碎的分形研究[J].防灾减灾工程学报,2003,23(4):1-9.XIE He-ping,GAO Feng,ZHOU Hong-wei,et al.Fractal fracture and fragmentation in rocks[J].Journal of Disaster Prevention and Mitigation Engineering,2003,23(4):1-9.
[5]王志国,周宏伟,谢和平.深部开采上覆岩层采动裂隙网络演化的分形特征研究[J].岩土力学,2009,30(8):2403-2408.WANG Zhi-guo,ZHOU Hong-wei,XIE He-ping.Research on fractal characterization of mined crack network evolution in overburden rock stratum under deep mining[J].Rock and Soil Mechanics,2009,30(8):2403-2408.
[6]吴中如,潘卫平.分形几何理论在岩土边坡稳定性分析中的应用[J].水利学报,1996,41(4):79-82.WU Zhong-ru,PAN Wei-ping.Application of fractal geometry in stability analysis of rock and soil slope[J].Journal of Hydraulic Engineering,1996,41(4):79-82.
[7]管志勇,路卫卫,戚蓝,等.建筑物地基沉降曲线的分形特征分析[J].岩土力学,2008,29(5):1415-1418.GUAN Zhi-yong,LU Wei-wei,Qi Lan,et al.Fractal characteristics of settlement curves of building basements[J].Rock and Soil Mechanics,2008,29(5):1415-1418.
[8]胡显明,晏鄂川,周瑜,等.滑坡监测点运动轨迹的分形特性及其应用研究[J].岩石力学与工程学报,2012,31(3):570-576.HU Xian-ming,YAN E-chuan,ZHOU Yu,et al.Fractal characteristics of landside monitoring point movement trace and its application[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(3):570-576.
[9]陆明心.顶煤位移曲线的分形特征[J].矿山压力与项板管理,2002,29(4):1415-1418.LU Ming-xin.The curve fractal of top coal displacement[J].Rock and Soil Mechanics,2002,29(4):1415-1418.
[10]李业学,刘建锋.基于R/S分析法与分形理论的围岩变形特征研究[J].四川大学学报(工程科学版),2010,42(3):43-48.LI Ye-xue,LIU Jian-feng.Study on deformation characteristic of surrounding rock by R/S method and fractal theory[J].Journal of Sichuan University(Engineering Science Edition),2010,42(3):43-48.
[11]樊晓一.滑坡位移多重分形特征与滑坡演化预测[J].岩土力学,2011,32(6):1831-1837.FAN Xiao-yi.Landslide displacement multifractal and its application to prediction of evolvement trend[J].Rock and Soil Mechanics,2011,32(6):1831-1837.
[12]钟明寿,龙源,谢全民,等.基于分形盒维数和多重分形的爆破地震波信号分析[J].振动与冲击,2010,29(1):7-11.ZHONG Ming-shou,LONG Yuan,XIE Quan-min,et al.Stochastic evolution model of a neuronal oscillator population with higher order coupling[J].Journal of Vibration and Shock.2010,29(1):7-11.
[13]龙源,晏俊伟,娄建武.基于分形理论的爆破地震信号盒维数研究[J].科技导报,2007,18(4):27-31.LONG Yuan,YAN Jun-wei,LOU Jian-wu,et al.Research on the box dimension of blasting seismic wave based on the fractal theory[J].Science&Technology Review,2007,18(4):27-31.
[14]王炳雪,史忠科,吴方向.时间序列曲线盒维数的一种快速算法[J].系统工程,2000,18(4):68-72.WHANG Bin-xue,SHI Zhong-ke,WU Fang-xiang.A fast algorithm for determining the box-counting dimension of time series trace[J].Systems Engeering,2000,18(4):68-72.
[15]乔忠云.基于Matlab复合材料磨损表面形貌W-M分形模型及其模拟[J].煤矿机械,2007,28(10):37-38.QIAO Zhong-yun.W-M fractal model and simulation based Matlab composite wearing surface[J].Rock and Soil Mechanics,2007,28(10):37-38
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