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论文摘要

边坡稳定性预测的Bayes判别分析方法及应用

Bayes Discriminant Analysis Method and Its Application for Prediction of Slope Stability

作者:史秀志(中南大学资源与安全工程学院);周健(中南大学资源与安全工程学院);郑纬(中南大学地学与环境工程学院);胡海燕(中南大学资源与安全工程学院);王怀勇(中南大学资源与安全工程学院;中国恩菲工程技术有限公司)

Author:Shi Xiuzhi(School of Resources and Safety Eng., Central South Univ.);Zhou Jian(School of Resources and Safety Engineering, Central South University);Zhang Wei(School of Geoscince and Environmental Eng., Central South Univ.);Hu Haiyan(School of Resources and Safety Eng., Central South Univ.);Wang Huaiyong(School of Resources and Safety Eng., Central South Univ.;China Enfi Eng.Co.)

收稿日期:2009-03-23          年卷(期)页码:2010,42(3):63-68

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:边坡稳定性;预测;Bayes判别分析(BDA);交差确认估计法

Key words:slope stability;prediction;Bayes Discriminant Analysis(BDA);cross-validation method

基金项目:国家“十一五”科技支撑计划资助项目(2006BAB02A02);中南大学学位论文创新资助项目(2009ssxt230)

中文摘要

边坡稳定性的分析是一个复杂的系统工程问题。基于Bayes判别分析(BDA)理论并结合工程实际,选用边坡岩体的重度黏聚力、摩擦角、边坡角、边坡高度及孔隙压力比等6个指标作为边坡稳定性预测的判别因子,建立边坡稳定性预测的Bayes判别分析模型;以32组边坡实测数据作为学习样本进行训练,建立Bayes线性判别函数;以交差确认估计法对判别准则进行评价以检验模型的优良性,以Bayes线性判别函数计算7个待判样品的Bayes判别函数值。研究表明:Bayes判别分类性能良好,与支持向量机方法有较好的一致性,且预测精度高,交差确认估计的误判率较低,为边坡稳定性预测提供了一种新思路。

英文摘要

Slope stability analysis is a complex system engineering problem. Based on the principles of Bayes discriminating analysis(BDA) theory and the actual characteristics of the project, the Bayes discriminating analysis model to predict slope stability was established to predict slope stability. Six indexes, i.e., unit weight, cohesion force, internal friction angle, slope angle, slope height, and pore pressure ratio were used as discriminant factors to establish a discriminant analysis model for slope stability forecast. Bayes discriminant functions obtained through training 32 measured data of slope were employed to compute the Bayes function values of the evaluating samples. The cross-validation method was introduced to verify the stability of BDA model and the ratio of mistake-discrimination was low after the BDA model was trained. Seven data in the slope engineering were used to test the discriminant ability of BDA model, the maximal function value was used to judge which population the evaluating sample belongs to. The results showed that the prediction results are identical with actual situation, and consistent with the support vector machine model, which prove that the BDA model has good classifying performance, high prediction accuracy and low misdiscrimination rate and can be used in practical engineering.

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