基于模糊集重心理论的岩体分类
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摘要
将模糊综合评判方法应用于岩体分类可造成评判信息丢失,影响评判结果的准确性和可信度。针对该缺陷,引入模糊集重心理论,克服了综合评判方法中某些因素由于权值较小而被“淹没”的现象。在此基础上,选取了岩石质量指标、单轴抗压强度、岩体完整性系数、岩石软化系数、最大地震烈度和地下水渗水量这6个对岩体质量及其稳定性影响比较大的因素,以正态分布作为其隶属函数,采用加权平均值法确定各因素权重值,建立了基于模糊集重心理论的岩体模糊分类方法。结合具体的工程实例,阐明了上述各因素模糊集重心的计算方法。利用基于模糊集重心的岩体模糊分类方法,研究了某一地下工程围岩的稳定性级别,并与模糊综合评判方法计算的结果和围岩的实际稳定情况进行了对比,验证了方法的准确性和适用性。
The method of fuzzy synthetical assessment applied to rock mass classification results in losing information of judgment,then influences veracity and reliability of the result.In allusion to the limitation,the theory of barycenter of fuzzy set is imported.Because weights of some factors is relative small,if using usual fuzzy synthetical assessment method,it will result in phenomenon of “submerge”.However,this problem does not exist now.Based on this theory,the six more important influential factors for rock mass classification such as index of rocky quality,uniaxial strength of renitency,integrated modulus of rock mass,soft modulus of rock,maximal seismic intensity and osmotic quantity of groundwater,are chosen;then the normal distribution as its membership function and the theory of the mean are used based on proportion to conform weights of the whole factors.Thus the method of rock mass fuzzy synthetical classification based on the theory of fuzzy set has been established.The calculational method of barycenter of fuzzy set of the whole factors is clarified combining a material project example.Finally,the method of rock mass fuzzy classification based on the theory of barycenter of fuzzy set is used to research the steady classification of a certain underground wall rock.Compared to the result of the method of fuzzy synthetical assessment and the actual steady instance of the wall rock,the veracity and the applicability of the textual method are validated.
The method of fuzzy synthetical assessment applied to rock mass classification results in losing information of judgment,then influences veracity and reliability of the result.In allusion to the limitation,the theory of barycenter of fuzzy set is imported.Because weights of some factors is relative small,if using usual fuzzy synthetical assessment method,it will result in phenomenon of “submerge”.However,this problem does not exist now.Based on this theory,the six more important influential factors for rock mass classification such as index of rocky quality,uniaxial strength of renitency,integrated modulus of rock mass,soft modulus of rock,maximal seismic intensity and osmotic quantity of groundwater,are chosen;then the normal distribution as its membership function and the theory of the mean are used based on proportion to conform weights of the whole factors.Thus the method of rock mass fuzzy synthetical classification based on the theory of fuzzy set has been established.The calculational method of barycenter of fuzzy set of the whole factors is clarified combining a material project example.Finally,the method of rock mass fuzzy classification based on the theory of barycenter of fuzzy set is used to research the steady classification of a certain underground wall rock.Compared to the result of the method of fuzzy synthetical assessment and the actual steady instance of the wall rock,the veracity and the applicability of the textual method are validated.
引文
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[10]GB50218-94,工程岩体分级标准[S].
[2]方学东,王士天.模糊聚类分析及在坝基岩体分类中的应用初探[J].地质灾害与环境保护,1998,9(1):34―37.FANG Xue-dong,WANG Shi-tian.The application of fuzzy assorting theory in classification of rock mass of dam foundation[J].Journal of Geological Hazards and Environment Preservation,1998,9(1):34―37.
[3]许传华,任青文.地下工程围岩稳定性的模糊综合评判法[J].岩石力学与工程学报,2004,23(11):1 852―1 855.XU Chuan-hua,REN Qing-wen.Fuzzy-synthetical evaluation on stability of surrounding rock masses of underground engineering[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(11):1 852―1 855.
[4]王新洲,史文中,王树良.模糊空间信息处理[M].武汉:武汉大学出版社,2003.
[5]王鹏,李安贵,蔡美峰,等.基于随机-模糊理论的岩石抗剪强度参数确定[J].岩石力学与工程学报,2005,24(4):547―552.WANG Peng,LI An-gui,CAI Mei-feng,et al.Random-fuzzy monovariant linear regression method for determining the shear strength parameters of rock[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(4):547―552.
[6]吴华峰.模糊综合评判在岩体工程分类中的应用[J].西北水力发电,2002,18(3):17―20.WU Hua-feng.Application of fuzzy integration judgement to the rock classification[J].Journal of Northwest Hydroelectric Power,2002,18(3):17―20.
[7]苏永华,颜立新,孙颜峰,等.模糊综合评判法及其在岩体分类中的应用[J].矿冶,2000,9(4):6―9.SU Yong-hua,YAN Li-xin,SUN Yan-feng,et al.Fuzzy synthesis assessment method and its application to rock mass classification[J].Mining and Metallurgy,2000,9(4):6―9.
[8]王广月.深基坑支护决策的信息熵模糊层次分析模型[J].岩土力学,2004,25(5):737―739.WANG Guang-yue.Information entropy fuzzy analytic hierarchy process model for retaining decision making of deep foundation pits[J].Rock and Soil Mechanics,2004,25(5):737―739.
[9]郭昱葵,熊友山,姚海林,等.模糊数学在当宜高速公路膨胀土判别和分类中的应用[J].岩土力学,1999,20(3):61―65.GUO Yu-kui,XIONG You-shan,YAO Hai-lin,et al.Application of fuzzy mathematics to classification of expansive soils for expressway from Dangyang to Yichang[J].Rock and Soil Mechanics,1999,20(3):61―65.
[10]GB50218-94,工程岩体分级标准[S].
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