岩体爆破震动损伤评估的多元判别分析模型
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摘要
提出基于多元判别分析理论的岩体爆破震动损伤安全判据方法。考虑爆破震动信号的幅值强度特性、频谱特性、持时特性和时-能密度曲线特性,并选用震动峰值速度、震动主频、震动持时和时-能密度曲线下的面积作为判别因子,建立多元判别分析模型对岩体的爆破震动损伤情况进行预测。以工程岩体实测数据作为学习样本进行训练,建立相应判别模型对待判样本进行判别,利用回代估计法对模型的合理性进行检验。研究结果表明:建立的判别模型回判估计的误判率为0,预测结果与实际结果相符;判别分析模型综合考虑了影响爆破损伤的多种因素,与其他单指标判据相比,评估结果与实际结果更加相符。
Based on the principle of multivariant discriminant analysis, a safety criterion method of rock blasting vibration damnification was presented. Considering the characters of extent value, frequency spectrum, delay time and time-energy density curve of blasting vibration signal, four indexes, i.e., swing value speed, dominant frequency, delay time value, and integral of the time-energy density that reflected the damnification of rock blasting vibration were taken into account as discriminant genes. A discriminant model was obtained through training a set of engineering test samples and the re-substitution method was introduced to verify the stability of model. The results show that the ratio of mis-discrimination is 0 and the prediction results are uniform with actual values. The distance discriminant analysis model has excellent performance,high prediction accuracy and is a new method of safety criterion of rock blasting vibration damnification in practical engineering.
Based on the principle of multivariant discriminant analysis, a safety criterion method of rock blasting vibration damnification was presented. Considering the characters of extent value, frequency spectrum, delay time and time-energy density curve of blasting vibration signal, four indexes, i.e., swing value speed, dominant frequency, delay time value, and integral of the time-energy density that reflected the damnification of rock blasting vibration were taken into account as discriminant genes. A discriminant model was obtained through training a set of engineering test samples and the re-substitution method was introduced to verify the stability of model. The results show that the ratio of mis-discrimination is 0 and the prediction results are uniform with actual values. The distance discriminant analysis model has excellent performance,high prediction accuracy and is a new method of safety criterion of rock blasting vibration damnification in practical engineering.
引文
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[10]宫凤强,李夕兵.岩爆发生和烈度分级预测的距离判别方法及应用[J].岩石力学与工程学报,2007,26(5):1012-1018.GONG Feng-qiang,LI Xi-bing.A distance discriminant analysis method for prediction of possibility and classification of rockburst and its application[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(5):1012-1018.
[11]宫凤强,李夕兵.膨胀土胀缩等级分类中的距离判别分析法[J].岩土工程学报,2007,29(3):463-466.GONG Feng-qiang,LI Xi-bing.Distance discriminant analysis to the classification of the grade of shrink and expansion for the expansive soils[J].Chinese Journal of Geotechnical Engineering,2007,29(3):463-466.
[12]凌同华,李夕兵.基于小波变换的时-能密度法确定微差爆破中的实际延迟时间[J].岩石力学与工程学报,2004,23(13):2266-2270.LING Tong-hua,LI Xi-bing.Time-energy analysis based on wavelet transform for identifying real delay[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(13):2266-2270.
[13]Charles K C.An introduction to wavelets[M].New York:Academic Press Inc,1992:297-333.
[2]田运生,张舒畅,李战军,等.岩巷爆破围岩损伤演化分析及损伤判据的建立[J].黄金,2005,26(8):22-24.TIAN Yun-sheng,ZHANG Shu-chang,LI Zhan-jun,et al.Damage criterion of surrounding rock and analysis of damage evaluation of rock drift blasting[J].Gold,2005,26(8):22-24.
[3]张义平,李夕兵.Hilbert-Huang变换在爆破震动信号分析中的应用[J].中南大学学报:自然科学版,2005,36(5):882-887.ZHANG Yi-ping,LI Xi-bing.Application of Hilbert-Huang transform in blasting vibration signal analysis[J].Journal of Central South University:Science and Technology,2005,36(5):882-887.
[4]阳生权,廖先葵,刘宝琛.爆破地震安全判据的缺陷与改进[J].爆炸与冲击,2001,21(3):223-228.YANG Sheng-quan,LIAO Xian-kui,LIU Bao-chen.Default ofthe judging standard of blasting vibration safety abstract[J].Explosion and Shock Waves,2001,21(3):223-228.
[5]Wilton T J,Hills R L.Blasting vibration monitoring on anchored retaining walls and within boreholes[C]//Proc Conf Rock Eng and Excavation in Urban Enviroment.Hong Kong,1986:421-427.
[6]Stephen D B,Derek B A,Peter N C.Analysis of high frequency microseismicity recorded at an underground hardrock mine[J].Pure and Appllied Geophsics,1997,150(3/4):693-704.
[7]娄建武,龙源,方向,等.基于反应谱值分析的爆破震动破坏评估研究[J].爆炸与冲击,2003,23(1):41-46.LOU Jian-wu,LONG Yuan,FANG Xiang,et al.Study on blasting vibration damage based on response spectrum[J].Explosion and Shock Waves,2003,23(1):41-46.
[8]范金城,梅长林.数据分析[M].北京:科学出版社,2002.FAN Jin-cheng,MEI Chang-lin.Data analysis[M].Beijing:Science Press,2002.
[9]宫凤强,李夕兵.距离判别分析法在岩体质量等级分类中的应用[J].岩石力学与工程学报,2007,26(1):190-194.GONG Feng-qiang,LI Xi-bing.Application of distance discrimnate analysis method to classification of engineering quality of rock masses[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(1):190-194.
[10]宫凤强,李夕兵.岩爆发生和烈度分级预测的距离判别方法及应用[J].岩石力学与工程学报,2007,26(5):1012-1018.GONG Feng-qiang,LI Xi-bing.A distance discriminant analysis method for prediction of possibility and classification of rockburst and its application[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(5):1012-1018.
[11]宫凤强,李夕兵.膨胀土胀缩等级分类中的距离判别分析法[J].岩土工程学报,2007,29(3):463-466.GONG Feng-qiang,LI Xi-bing.Distance discriminant analysis to the classification of the grade of shrink and expansion for the expansive soils[J].Chinese Journal of Geotechnical Engineering,2007,29(3):463-466.
[12]凌同华,李夕兵.基于小波变换的时-能密度法确定微差爆破中的实际延迟时间[J].岩石力学与工程学报,2004,23(13):2266-2270.LING Tong-hua,LI Xi-bing.Time-energy analysis based on wavelet transform for identifying real delay[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(13):2266-2270.
[13]Charles K C.An introduction to wavelets[M].New York:Academic Press Inc,1992:297-333.
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