基于模糊概率方法的岩体稳定性评价
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摘要
岩体稳定性受多种不确定性因素的影响,不仅具有随机性,而且也具有模糊性,属于模糊概率的范畴,利用经典的模糊综合评判方法进行研究将会产生不合理的结果。在模糊概率理论的基础上,建立了一类新的岩体稳定性综合评价方法——模糊概率方法,并提出了模糊权重的概念,从而避免了权重取值带来的不确定性。结合所选取的5个影响岩体稳定性的因素,建立了这5个影响因素的隶属函数与模糊权重;利用此方法对某一地下岩体工程进行了分析,并与其他方法所评价的结果进行了比较,表明了该方法具有合理性与可靠性。
The stability of rock mass is affected by many uncertain factors with random and fuzzy behavior and belongs to the fuzzy probability category.To assess the stability of rock mass with classical fuzzy comprehensive assessment methods may lead to incorrect results.Based on the fuzzy probability theory,a new comprehensive assessment method for the stability of rock mass(fuzzy probability evaluation method) is presented in this paper.The fuzzy weighted values are established to avoid the uncertainties in determining the index weights.Five factors which affect the stability are picked out.For each of them a subordinate function and fuzzy weighted value are established.An example of underground rock mass engineering is introduced at last.Stability grade of surrounding rock of the underground engineering is analyzed using the fuzzy probability evaluation method.The analysis process is introduced and the results are compared with other method.It proved that the method of this paper is reliable and practical.
The stability of rock mass is affected by many uncertain factors with random and fuzzy behavior and belongs to the fuzzy probability category.To assess the stability of rock mass with classical fuzzy comprehensive assessment methods may lead to incorrect results.Based on the fuzzy probability theory,a new comprehensive assessment method for the stability of rock mass(fuzzy probability evaluation method) is presented in this paper.The fuzzy weighted values are established to avoid the uncertainties in determining the index weights.Five factors which affect the stability are picked out.For each of them a subordinate function and fuzzy weighted value are established.An example of underground rock mass engineering is introduced at last.Stability grade of surrounding rock of the underground engineering is analyzed using the fuzzy probability evaluation method.The analysis process is introduced and the results are compared with other method.It proved that the method of this paper is reliable and practical.
引文
[1]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.
[2]原国红,陈剑平,马琳.可拓评判方法在岩体质量分类中的应用[J].岩石力学与工程学报,2005,24(9):1 539-1 544.
[3]苏永华,赵明华,刘晓明.岩体分类的二元相对模糊评判法[J].岩石力学与工程学报,2006,25(5):1 049-1 055.
[4]杨纶标,高英仪.模糊数学原理及应用:第3版[M].广州:华南理工大学出版社,2001.
[5]刘章军,叶燎原,彭刚.砂土地震液化的模糊概率评判方法[J].岩土力学,2008,29(4):876-880.
[6]赵洪波,冯夏庭,尹顺德.基于支持向量机的岩体工程分级[J].岩土力学,2002,23(6):698-701.
[7]刘章军,叶燎原.基于模糊理论的单层工业厂房震害预测[J].四川建筑科学研究,2006,32(1):121-125.
[8]Hwang C L,Lin M J.Group decision making under multiplecriteria:Methods and applications[M].Berlin Heidelberg,New York:Springer-Verlag,1987:23-41.
[9]Saaty T L.The analytic hierarchy procedure[M].New York:McGraw-Hill Inc.,1980.
[2]原国红,陈剑平,马琳.可拓评判方法在岩体质量分类中的应用[J].岩石力学与工程学报,2005,24(9):1 539-1 544.
[3]苏永华,赵明华,刘晓明.岩体分类的二元相对模糊评判法[J].岩石力学与工程学报,2006,25(5):1 049-1 055.
[4]杨纶标,高英仪.模糊数学原理及应用:第3版[M].广州:华南理工大学出版社,2001.
[5]刘章军,叶燎原,彭刚.砂土地震液化的模糊概率评判方法[J].岩土力学,2008,29(4):876-880.
[6]赵洪波,冯夏庭,尹顺德.基于支持向量机的岩体工程分级[J].岩土力学,2002,23(6):698-701.
[7]刘章军,叶燎原.基于模糊理论的单层工业厂房震害预测[J].四川建筑科学研究,2006,32(1):121-125.
[8]Hwang C L,Lin M J.Group decision making under multiplecriteria:Methods and applications[M].Berlin Heidelberg,New York:Springer-Verlag,1987:23-41.
[9]Saaty T L.The analytic hierarchy procedure[M].New York:McGraw-Hill Inc.,1980.
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