基于距离判别分析方法的砂土液化预测模型及应用

基于马氏距离判别分析理论,分析了影响砂土液化的因素,选取平均粒径、不均匀系数、标准贯入击数、地下水埋深、砂层埋深、剪应力与有效上覆应力比、烈度、震中距等8个实测指标作为液化判别指标,建立距离判别分析模型对砂土液化进行预测。研究结果表明,距离判别分析模型预测性能良好,验证了该模型的科学性、高效性,并较规范法、Seed简化法等传统方法具有更高的预测精度。距离判别分析理论是解决砂土液化预测问题的有效方法之一,可以在实际工程中进行推广。

Prediction of sand liquefaction based on distance discriminant analysis and its application

Based on the principle of Mahalanobis distance discriminant analysis,the distance analytic model was applied to the prediction of sand liquefaction with eight factors listed as follows: mean diameter,coefficient of non-uniformity,blow number of standard penetration test,underground water depth,sand depth,ratio of shearing stress to effective overburden stress,seismic intensity,epicenteral distance.Through computing practical examples and assessing the model,the model was manifested to be scientific and effective with much more accurate results than the normalization methods and simplified Seed method.It was shown that the present method was efficient in solving the prediction of sand liquefaction and could be applied to practical engineering.