爆破振动速度衰减公式的稳健回归分析
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摘要
针对经典最小二乘法在回归分析爆破质点振速中存在的问题,即无法抵御异常值的影响,提出了爆破质点振速衰减公式的稳健回归分析。该方法基于迭代加权最小二乘法回归参数,对异常值给与较低的权重,正常值给与较高的权重,有效的抵御了异常值对回归模型的影响。通过实例分析,对比了2种方法在有异常值和剔除异常值后的回归结果,证明了稳健回归分析这一方法的可靠性及优越性。
The classical least squares(LS)method can not withstand the impact of outliers due to the weakness of regressing and analyzing the blasting particular vibration velocity.In this study the robust regression analysis of attenuation formula of blasting vibration velocity was put forward based on iteratively reweighted least squares(IRLS) method,which can assign to the abnormity a lower weight and the normal value a higher weight values.By comparing the regression results of abnormity and abnormity removal,the IRLS was proven to be of high reliability and superiority.
The classical least squares(LS)method can not withstand the impact of outliers due to the weakness of regressing and analyzing the blasting particular vibration velocity.In this study the robust regression analysis of attenuation formula of blasting vibration velocity was put forward based on iteratively reweighted least squares(IRLS) method,which can assign to the abnormity a lower weight and the normal value a higher weight values.By comparing the regression results of abnormity and abnormity removal,the IRLS was proven to be of high reliability and superiority.
引文
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[3]林从谋,逄焕东,王其升,等.隧道掘进爆破地震峰值神经网络预报研究[J].岩土力学,2004,25(S1):125-126.[3]LIN Cong-mou,PANG Huan-dong,WANG Qi-sheng,etal.Study on neural network prediction of peak amplitudeof blasting ground vibration for tunneling[J].Rock andSoil Mechanics,2004,25(S1):125-126.(in Chinese)
[4]言志信,言浬,江平,等.爆破振动峰值速度预报方法探讨[J].振动与冲击,2010,29(5):179-182.[4]YAN Zhi-xin,YAN Li,JIANG Ping,et al.Prediction methodsfor blasting-induced ground vibration velocity[J].Journal ofVibration and Shock,2010,29(5):179-182.(in Chinese)
[5]杨佑发,崔波.爆破震动速度峰值的预测[J].振动与冲击,2009,28(10):195-198.[5]YANG You-fa,CUI Bo.Prediction for vibration intensitydue to blasting induced ground motions[J].Journal of Vi-bration and Shock,2009,28(10):195-198.(in Chinese)
[6]史秀志,董凯程,邱贤阳,等.基于支持向量机回归爆破振动速度预测分析[J].工程爆破,2009,15(3):28-30.[6]SHI Xiu-zhi,DONG Kai-cheng,QIU Xian-yang,et al.A-nalysis of the ppv prediction of blasting vibration based onsupport vector machine regression[J].Engineering Blas-ting,2009,15(3):28-30.(in Chinese)
[7]吕涛,石永强,黄诚,等.非线性回归法求解爆破振动速度衰减公式参数[J].岩土力学,2007,28(9):1871-1878.[7]LV Tao,SHI Yong-qiang,HUANG Cheng,et al.Study onattenuation parameters of blasting vibration by nonlinearregression analysis[J].Rock and Soil Mechanics,2007,28(9):1871-1878.(in Chinese)
[8]王民寿,郭庆海.用双随机变量回归改进爆破振速回归分析[J].爆炸与冲击,1998,18(3):283-288.[8]WANG Min-shou,GUO Qing-hai.Regression analysis ofblasting vibrational velocity by the double random variablemethod[J].Explosion and Shock Waves,1998,18(3):283-288.(in Chinese)
[9]邹晓磊,薛桂玉.大坝监测数据异常值识别方法探讨[J].水电能源科学,2009,27(5):83-85.[9]ZHOU Xiao-lei,XUE Gui-yu.Study on method of identif-ying outliers about dam monitoring data[J].Water Re-sources and Power,2009,27(5):83-85.(in Chinese)
[10]张耀平,曹平,董陇军.岩石抗剪强度计算的稳健回归模型及其应用[J].科技导报,2010,28(7):91-95.[10]ZHANG Yao-ping,CAO Ping,DONG Long-jun.A robustregression model and its application in calculating shearstrength of rock[J].Science&Technology Review,2010,28(7):91-95.(in Chinese)
[11]PETER J ROUSSEEUW.Robust regression and outlierdetection[M].Toronto:John Wiley&Sons,1987.
[12]The Math Works,Inc.Curve Fitting ToolboxTM User'sGuide(Version 3.2)[M].The Math Works,2011.
[13]陈士海,逄焕东.爆破灾害预测与控制[M].北京:煤炭工业出版社,2006.[13]CHEN Shi-hai,PANG Huan-dong.Forcast and control ofblasting disaster[M].Peking:Coal Industry Press,2006.(in Chinese
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