基于DEA的地震作用下岩石边坡工程整体安全风险分析
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摘要
如何建立适应内外因素共同作用机理的边坡整体安全度量模型,是边坡稳定性问题研究的内在要求和根本出发点。区分地震作用下岩石边坡整体安全影响指标的本质属性和外部因素,引入数据包络分析方法,建立了边坡整体结构风险预警工作模式,提出了风险预警工作步骤;按照决策单元形式化描述,确定岩石边坡整体安全结构风险预警样本的决策数据结构的表示方法;以岩石边坡工程整体安全结构风险预警标准DEA模型为基础,虚设理想预警样本,建立具有非阿基米德无穷小的支持地震作用下岩石边坡整体安全结构风险预警样本相对安全度量模型。模型应用于边坡震灾处置算例,得到了极大风险样本,为确定边坡风险监测重点提供了依据。
How to set up an evaluation model on comprehensive safety of slope under the collective effect of inside and outside factors was the inherent requirement and ultimate start in the study on stability of slope.The indexes on comprehensive safety evaluation of earthquake-damaged rock slope were differentiated into essential attributes and exterior factors,and a workflow mode was established on risk early-warning structure with the Data Envelopment Analysis and the steps of work were put forward.According to the formal description of decision-making unit,decision-making data structure was determined for risk early-warning sample on the comprehensive safety of slope engineering.On the basis of standard risk early-warning DEA model on the comprehensive safety of earthquake-damaged rock slope,and ideal early-warning sample,relative safety evaluation model was erected on risk early-warning sample with non Archimedes infinitesimal vector.Finally,this model was applied into earthquake-damaged engineering case and the maximum risk sample was obtained for determining the important monitoring points.
How to set up an evaluation model on comprehensive safety of slope under the collective effect of inside and outside factors was the inherent requirement and ultimate start in the study on stability of slope.The indexes on comprehensive safety evaluation of earthquake-damaged rock slope were differentiated into essential attributes and exterior factors,and a workflow mode was established on risk early-warning structure with the Data Envelopment Analysis and the steps of work were put forward.According to the formal description of decision-making unit,decision-making data structure was determined for risk early-warning sample on the comprehensive safety of slope engineering.On the basis of standard risk early-warning DEA model on the comprehensive safety of earthquake-damaged rock slope,and ideal early-warning sample,relative safety evaluation model was erected on risk early-warning sample with non Archimedes infinitesimal vector.Finally,this model was applied into earthquake-damaged engineering case and the maximum risk sample was obtained for determining the important monitoring points.
引文
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[11]Crespellani T,Madiai C,Vannuchi G..Earthquake de-structiveness potential factor and slope stability[J].Geotechnique,1998,48(3):411-419.
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[13]马占新,任慧龙.一种基于样本的综合评价方法及其在FSA中的应用研究[J],系统工程理论与实践,2003,23(2):96-100.(Ma Zhanxin;Ren Huilong.Anevaluation method based on some sample units and itsapplying on FSA[J],Systems Engineering-Theory&Practice,2003,23(2):96-100.(in Chinese))
[14]Sengupta Jati K.,Measuring dynamic efficiency underrisk aversion[J],European Journal of Operational Re-search,1994,74(1):61-69.
[15]Jati K.Sengupta,Efficiency Measurement in stochasticinput-output systems[J],International Journal of Sys-tems Science,1982,13(3):273-287.
[16]Ying-Ming Wang,Ying Luo,DEA efficiency assessmentusing ideal and anti-ideal decision making units[J],Applied Mathematics and Computation(New York),2006,173(2):902-915.
[2]Pantelidis L.Rock slope stability assessment throughrock mass classification systems[J].International Jour-nal of Rock Mechanics&Mining Sciences,2009,46(2):315-325.
[3]Christian J T,Ladd CC,Baecher G B.Reliability ap-plied to slope stability analysis[J],Journal of Geotech-nical Engineering Division,1994,120(12):2 180-2 207.
[4]Havenith H B,Vanini M,Jongmans D.Initiation ofearthquake-induced slope failure:influence of topograph-ical and other site specific amplification effects[J].Journal of Seismology,2003,7(3):397-412.
[5]Boutrop E,Lovell C W,Research technical in slope a-nalysis[J],Engineering Geology,1980,16(1):51-61.
[6]Lee Kwan Tun,Ho Jui-Yi.Prediction of landslide oc-currence based on slope-instability analysis and hydro-logical model simulation[J],Journal of Hydrology,2009,375(3-4):489-497.
[7]谈小龙,徐卫亚,梁桂兰.可拓方法在岩石边坡整体安全评价中的应用[J],岩石力学与工程学报,2009,28(12):2 503-2 509.(Tan Xiaolong,Xu Weiya,LiangGuilan.Application of extenics method to comprehen-sive safety evaluation of rock slope[J],Chinese Journalof Rock Mechanics and Engineering,2009,28(12):2 503-2 509.(in Chinese))
[8]刘红帅,薄景山,刘德东.岩土边坡地震稳定性分析研究评述[J].地震工程与工程振动,2005,25(1):164-171.(Liu Hongshuai,Bo Jingshan,Liu Dedong.Review on study of seismic stability analysis of rock-soilslopes[J].Earthquake Engineering and Engineering Vi-bration,2005,25(1):164-171.(in Chinese))
[9]Siad L,Megueddem M.Stability analysis of jointed rockslope[J].Mechanics Research Communications,1998,25(6):661-670.
[10]周德培,钟卫,杨涛.基于坡体结构的岩质边坡稳定性分析[J].岩石力学与工程学报,2008,27(4):687-695.(Zhou Depei,Zhong Wei,Yang Tao.Stability anal-ysis of rocky slope based on slope structures[J].Chi-nese Journal of Rock Mechanics and Engineering,2008,27(4):687-695.(in Chinese))
[11]Crespellani T,Madiai C,Vannuchi G..Earthquake de-structiveness potential factor and slope stability[J].Geotechnique,1998,48(3):411-419.
[12]Charnes A,Cooper W,Rhodes E.Measuring the effi-ciency of decision-making units[J].European Journalof Operational Research,1978,2(6):429-444.
[13]马占新,任慧龙.一种基于样本的综合评价方法及其在FSA中的应用研究[J],系统工程理论与实践,2003,23(2):96-100.(Ma Zhanxin;Ren Huilong.Anevaluation method based on some sample units and itsapplying on FSA[J],Systems Engineering-Theory&Practice,2003,23(2):96-100.(in Chinese))
[14]Sengupta Jati K.,Measuring dynamic efficiency underrisk aversion[J],European Journal of Operational Re-search,1994,74(1):61-69.
[15]Jati K.Sengupta,Efficiency Measurement in stochasticinput-output systems[J],International Journal of Sys-tems Science,1982,13(3):273-287.
[16]Ying-Ming Wang,Ying Luo,DEA efficiency assessmentusing ideal and anti-ideal decision making units[J],Applied Mathematics and Computation(New York),2006,173(2):902-915.
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