长江科学院院报 ›› 2019, Vol. 36 ›› Issue (1): 111-116.DOI: 10.11988/ckyyb.20170669

• 岩土工程 • 上一篇    下一篇

基于FAHP和K-Means聚类的边坡稳定性模型

张向东1, 白仁钰1, 黄建国2   

  1. 1.辽宁工程技术大学 土木工程学院,辽宁 阜新 123000;
    2.中交隧道局第二工程有限公司, 西安 710000
  • 收稿日期:2017-06-09 出版日期:2019-01-01 发布日期:2019-01-17
  • 通讯作者: 白仁钰(1992 - ),男,满族,辽宁抚顺人,硕士研究生,主要从事边坡破坏机理方面的研究。 E-mail:1562896901@qq.com
  • 作者简介:张向东(1962 - ),男,辽宁阜新人,教授,博士,博士生导师,主要从事岩土工程方面的研究。E-mail:jwd101@126.com
  • 基金资助:
    国家自然科学基金项目(51774166)

Slope Stability Model Based on Fuzzy Analytic Hierarchy Process and K-means Clustering Method

ZHANG Xiang-dong1,BAI Ren-yu1,HUANG Jian-guo2   

  1. 1.School of Civil Engineering, Liaoning Technical University, Fuxin 123000, China;
    2.The Second Engineering Company of CCCC Tunnel Engineering Company Limited, Xi’an 710000, China
  • Received:2017-06-09 Published:2019-01-01 Online:2019-01-17

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摘要： 为了解决实际工程中边坡安全系数不能准确描述边坡状态的问题,基于定性分析和定量分析相结合的思想,运用FAHP法和K-Means聚类算法,通过对滑坡样本的关键因素进行评价和聚类得到各因素的聚类中心,再通过构建联系数向量的方法,建立基于FAHP和K-Means聚类的边坡稳定性模型。根据边坡中的关键性因素运用基于FAHP和K-Means聚类的边坡稳定性模型完成对未知边坡样本进行预测。将该模型应用于新建南昌到赣州铁路客运专线项目,结果与实际情况相符合,避免了实际工程中单纯考虑边坡安全系数来确定边坡状态的局限性。通过构建基于FAHP和K-Means聚类的边坡稳定性模型,揭示了高度、边坡角、孔隙水压力比等因素与边坡稳定性的非线性关系,此模型可以为边坡的设计、施工、监测提供参考。

关键词: 边坡稳定性, FAHP法, 安全系数, K-Means聚类原理, 归一化函数

Abstract: In practical engineering, the safety factor of slope could not describe the slope state precisely. In view of this, a slope stability model is established based on FAHP (Fuzzy Analytic Hierarchy Process) and K-means clustering which integrates qualitative and quantitative analyses. The key factors of slope samples are evaluated and clustered, and the vectors of connection numbers are constructed. According to the key slope factors, the slope stability model based on FAHP and K-Means clustering is used to predict the unknown slope samples. The model is applied to analyze the Nanchang-Ganzhou high-speed railway project and the results are in line with actual situation. The proposed slope stability model based on FAHP and K-means clustering could offer reference for the design, construction, and monitoring of slopes as it reveals the nonlinear relationship between some key factors (height, slope angle, and pore water pressure) and slope stability.

Key words: slope stability, FAHP method, safety factor, K-means cluster, normalized function

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