img

QQ群聊

img

官方微信

高级检索

黄金科学技术 ›› 2018, Vol. 26 ›› Issue (6): 780-787.doi: 10.11872/j.issn.1005-2518.2018.12.780

所属专题: 专题名称

• • 上一篇    下一篇

基于D-S证据理论—正态隶属度的岩土边坡稳定性评价

徐金国(),戴兴国,闫泽正   

  1. 1. 中南大学资源与安全工程学院,湖南 长沙 410083
  • 收稿日期:2017-07-15 修回日期:2018-03-04 出版日期:2018-12-31 发布日期:2019-01-24
  • 作者简介:徐金国(1990-),男,山东枣庄人,硕士研究生,从事边坡稳定性评价与治理研究工作。xujinguo@csu.edu.cn

Stability Evaluation of Rock-soil Slope Based on D-S Evidence Theory and Normal Degree of Membership

Jinguo XU(),Xingguo DAI,Zezheng YAN   

  1. 1. School of Resources and Safety Engineering,Central South University,Changsha 410083,Hunan,China
  • Received:2017-07-15 Revised:2018-03-04 Online:2018-12-31 Published:2019-01-24

摘要:

针对岩土边坡稳定性评价具有模糊性和不确定性且各评价指标存在矛盾冲突性的特点,提出了基于D-S证据理论的岩土边坡稳定性综合评价方法。首先建立识别框架,选取评价指标,运用正态隶属函数确定各等级对应的质量函数。然后基于各等级质量函数间的距离,综合考虑各指标各等级之间的相互影响程度,确定指标权重。最后运用D-S组合规则,得出岩土边坡稳定性等级。将D-S证据理论评价模型运用到广州某稀土矿山工作场地,并将该方法与可拓法在质量函数与关联度、权重确定和评价结果等方面进行比较,结果表明D-S证据理论评价模型相对合理,所得结果精度较高并且与工程实际相吻合。

关键词: 岩土边坡, 稳定性评价, D-S证据理论, 正态隶属函数, 指标间距离

Abstract:

In order to effectively solve the problems of vagueness and uncertainty,and the conflict between the evaluation indexes existing in the process of rock-soil stability evaluation,a new approach of comprehensive evaluation on rock-soil stability was proposed based on D-S theory of evidence.Firstly,the recognition framework was established,the evaluation indexes were selected,and the basic probability distribution of levels was determined by using the Gaussian membership function.Secondly,the index weight was determined based on the range of basic probability distribution and the mutual influence between indexes and grades.Finally,the stability of rock-soil slope was determined by using the combination rules of D-S evidence theory.Through comparison with the extension method in the basic probability distribution and relevancy of indexes,determination of weight and the revaluation result,D-S evidence theory was used in the workplace of a rare earth mine in Guangzhou.And the results show that the evaluation model of D-S evidence theory is more suitable and more practical,and with higher accuracy.

Key words: rock-soil slope, stability evaluation, D-S evidence theory, Gaussian membership function, distance between indexes

中图分类号: 

  • TU457

表1

边坡稳定性等级评价标准"

稳定性等级 接受准则
Ⅰ级 稳定,不需处理
Ⅱ级 较稳定,常规管理
Ⅲ级 基本稳定,监测施工
Ⅳ级 较不稳定,采取措施增强稳定性,并进行监测施工
Ⅴ级 不稳定,避免施工,并采取措施增强稳定性

表2

单因素边坡稳定性评价标准"

评价指标 各稳定性级别对应的指标值
内摩擦角/(°) 37~45 29~37 21~29 13~21 0~13
黏聚力/MPa 0.22~0.32 0.12~0.22 0.08~0.12 0.05~0.08 0~0.05
弹性模量/MPa 33~60 20~33 6~20 1.3~6 0~1.3
边坡高度/m 0~30 30~45 45~60 60~80 80~100
边坡角度/(°) 0~10 10~20 20~30 30~40 40~90
月累计降水量/mm 0~50 50~100 100~150 150~250 250~300
日最大降雨量/mm 0~20 20~40 40~60 60~100 100~150

表3

边坡指标实测值"

评价指标 数值 评价指标 数值
内摩擦角/(°) 28 边坡角度/(°) 65
黏聚力/MPa 0.032 月累计降水量/mm 209.7
弹性模量/MPa 40 日最大降雨量/mm 135.4
边坡高度/m 6

表4

各指标基本概率分配"

评价指标 各稳定性等级基本概率分配
内摩擦角 0.00 0.32 0.68 0.00 0.00
黏聚力 0.00 0.00 0.00 0.05 0.95
弹性模量 0.85 0.15 0.00 0.00 0.00
边坡高度 1.00 0.00 0.00 0.00 0.00
边坡角度 0.00 0.00 0.00 0.00 1.00
月累计降水量 0.00 0.00 0.00 0.97 0.03
日最大降雨量 0.00 0.00 0.00 0.00 1.00

表5

各指标间的距离"

评价指标 内摩擦角 黏聚力 弹性模量 边坡高度 边坡角度 月累计降水量 日最大降雨量
内摩擦角 0.0000 1.2101 1.1041 1.2506 1.2506 1.2305 1.2506
黏聚力 1.2101 0.0000 1.2847 1.3785 0.0744 1.3037 0.0744
弹性模量 1.1041 1.2847 0.0000 0.2080 1.3229 1.3039 1.3229
边坡高度 1.2506 1.3785 0.2080 0.0000 1.4142 1.3965 1.4142
边坡角度 1.2506 0.0744 1.3229 1.4142 0.0000 1.3780 0.0000
月累计降水量 1.2305 1.3424 1.3039 1.3965 1.3780 0.0000 1.3780
日最大降雨量 1.2506 0.0744 1.3229 1.4142 0.0000 1.3780 0.0000

表6

各指标权重"

指标 权重 指标 权重
内摩擦角 0.1210 边坡角度 0.1688
黏聚力 0.1718 月累计降水量 0.1022
弹性模量 0.1403 日最大降雨量 0.1688
边坡高度 0.1271

表7

岩土边坡稳定性评价结果"

稳定等级 支持度 稳定等级 支持度
0.0738 0.0201
0.0000 0.9061
0.0000

表8

可拓法评价岩土边坡稳定等级的关联度"

稳定等级 关联度 稳定等级 关联度
-0.4581 -0.4626
-0.5817 -0.1037
-0.5488

图1

稀土矿山边坡失稳破坏"

1 刘沐宇,朱瑞赓 .基于模糊相似优先的边坡稳定性评价范例推理方法[J].岩石力学与工程学报,2002,21(8):1188-1193.
Liu Muyu , Zhu Ruigeng .Case-based reasoning approach to slope stability evaluation based on fuzzy analogy preferred ratio[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(8):1188-1193.
2 汪益敏,王秉纲 .公路土质路基边坡坡面冲刷稳定性的模糊综合评价[J].中国公路学报,2005,18(1):28-33.
Wang Yimin , Wang Binggang .Fuzzy evaluation method of scouring stability on soil subgrade slope[J].China Journal of Highway and Transport,2005,18(1):28-33.
3 何翔,李守巨,刘迎曦,等 .岩土边坡稳定性预报的人工神经网络方法[J].岩土力学,2003,24(增2):73-76.
He Xiang , Li Shouju , Liu Yingxi ,et al .Analyzing method of rock slope stability based on artificial neural network[J].Rock and Soil Mechanics,2003,24(Supp.2):73-76.
4 邓跃进,王葆元,张正禄 .边坡变形分析与预报的模糊人工神经网络方法[J].武汉测绘科技大学学报,1998,23(1):28-33.
Deng Yuejin , Wang Baoyuan , Zhang Zhenglu .Application of fuzzy artifical neural to the deformation analysis and predication of side slope[J].Journal of Wuhan Technical University of Surveying and Mapping,1998,23(1):28-33.
5 舒继森,才庆祥,郝航程,等 .可拓学理论在边坡破坏模式识别中的应用[J].中国矿业大学学报,2005,34(5):591-595.
Shu Jisen , Cai Qingxiang , Hao Hangcheng ,et al .Use of extenics theory in recognizing failure mode of slope[J].Journal of China University of Mining and Technology,2005,34(5):591-595.
6 苏怀智,吴中如,顾冲时 .大坝工作性态模糊可拓评估的基本原理[J].岩土力学,2006,27(11):1967-1973.
Su Huaizhi , Wu Zhongru , Gu Chongshi .Mechanism of dam behavior assessment with fuzzy extension theory[J].Rock and Soil Mechanics,2006,27(11):1967-1973.
7 史文兵,叶明亮,左双英 .基于D-S证据理论的边坡稳定可靠度分析[J].人民黄河,2013,35(12):131-132,135.
Shi Wenbing , Ye Mingliang , Zuo Shuangying .Reliability analysis of slope stability based on D-S evidence theory[J].Yellow River,2013,35(12):131-132,135.
8 杨风暴,王肖霞 .D-S证据理论的冲突证据合成方法[M].北京:国防工业出版社,2010:16-17.
Yang Fengbao , Wang Xiaoxia .Combination Method of Conflictive Evidences in D-S Evidence Theory[M].Beijing:National Defense Industry Press,2010:16-17.
9 郭杰,刘建永,王怀晓,等 .基于D-S证据理论的浅层地下水预测[J].兵工自动化,2014,33(8):48-51.
Guo Jie , Liu Jianyong , Wang Huaixiao ,et al .Prediction of shallow groundwater based on D-S evidence theory[J].Ordnance Industry Automation,2014,33(8):48-51.
10 郭建全,赵伟,黄松岭 .一种改进的D-S证据合成规则[J].系统工程与电子技术,2009,31(3):606-609.
Guo Jianquan , Zhao Wei , Huang Songling .Modified combination rule of D-S evidence theory[J].Systems Engineering and Electronics,2009,31(3):606-609.
11 肖建于 .证据理论研究及其在矿井突水预测中的应用[D].徐州:中国矿业大学,2012.
Xiao Jianyu .Study on Evidence Theory and Its Application to the Water Inrush Prediction in Mine[D].Xuzhou:China University of Mining and Technology,2012.
12 陈建宏,李涛,江时雨 .基于动态权重的边坡稳定性评价方法[J].黄金科学技术,2014,22(4):61-66.
Chen Jianhong , Li Tao , Jiang Shiyu .Evaluation method of slope stability based on dynamic weight[J].Gold Science and Technology,2014,22(4):61-66.
13 李克钢,许江,李树春,等 .基于可拓理论的边坡稳定性评价研究[J].重庆建筑大学学报,2007,29(4):75-78.
Li Kegang , Xu Jiang , Li Shuchun ,et al .Research on evaluation of the slope stability based on the extension theory[J].Journal of Chongqing Jianzhu University,2007,29(4):75-78.
14 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):2503-2509.
Tan Xiaolong , Xu Weiya , Liang Guilan .Application of extenics method to comprehensive safety evaluation of rock slope[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(12):2503-2509.
15 王新民,康虔,秦健春,等 .层次分析法—可拓学模型在岩质边坡稳定性安全评价中的应用[J].中南大学学报(自然科学版),2013,44(6):2455-2462.
Wang Xinmin , Kang Qian , Qin Jianchun ,et al .Application of AHP-extenics model to safety evaluation of rock slope stability[J].Journal of Central South University(Science and Technology),2013,44(6):2455-2462.
16 康志强,冯夏庭,周辉 .基于层次分析法的可拓学理论在地下洞室岩体质量评价中的应用[J].岩石力学与工程学报,2006,25(增2):3687-3693.
Kang Zhiqiang , Feng Xiating , Zhou Hui .Application of extenics theory to evaluation of underground cavern rock quality based on stratification analysis method[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.2):3687-3693.
[1] 周子龙,王亦凡,柯昌涛. “多米诺骨牌”破坏现象下的矿柱群系统可靠度评价[J]. 黄金科学技术, 2018, 26(6): 729-735.
[2] 邓高,杨珊. 基于组合预测与变精度粗糙模糊集的采空区稳定性评价[J]. 黄金科学技术, 2017, 25(3): 98-107.
[3] 陈建宏,李涛,江时雨. 基于动态权重的边坡稳定性评价方法[J]. 黄金科学技术, 2014, 22(4): 61-66.
[4] 郝旭彬,杨立辉,万胜. 基于AHP及模糊综合评判法的采空区稳定性评价[J]. 黄金科学技术, 2013, 21(6): 63-67.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 肖风利,曾庆栋,马凤山,王昭坤,孙之夫,孙宗峰. 胶东西北部重要金成矿断裂带特征[J]. 黄金科学技术, 2018, 26(4): 396 -405 .
[2] 郑明贵,胡志亮. 海外矿业投资环境风险评价研究[J]. 黄金科学技术, 2018, 26(5): 596 -604 .
[3] 梁光河. 郯庐断裂带的几个关键问题探讨[J]. 黄金科学技术, 2018, 26(5): 543 -558 .
[4] 李光,马凤山,刘港,郭捷,郭慧高,寇永渊. 金川矿区深部巷道支护效果评价及参数优化研究[J]. 黄金科学技术, 2018, 26(5): 605 -614 .
[5] 安乐,何虎军,杨兴科,韩柯,李斌,胡国朝. 基于Surpac的马蹄沟金矿床三维地质模型构建及找矿预测[J]. 黄金科学技术, 2018, 26(5): 586 -595 .