| 逻辑回归模型在边坡稳定性分析中的应用 |
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| 引用本文： | 王艳龙,杜立志,何赛,蔡伟嘉.逻辑回归模型在边坡稳定性分析中的应用[J].世界地质,2018,37(3):945-951. |
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| 作者姓名： | 王艳龙 杜立志 何赛 蔡伟嘉 |
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| 作者单位： | 吉林大学 建设工程学院, 长春 130026 |
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| 基金项目： | 国家自然科学基金（41402246）. |
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| 摘 要： | 采用逻辑回归模型和确定性系数CF建立概率模型，使用收集到的22个边坡实例，将重度、内聚力、坡角、坡高、内摩擦角和孔隙压力比六个影响因子作为自变量，边坡状态作为因变量，应用SPSS取不同的滑坡概率P与不滑坡概率1-P的比值的自然对数Z进行回归分析。将获得的滑坡概率拟合模型反馈到样本参数上，对比其误差，选取Z=±10时的函数模型对另外8组边坡进行验证，证明预测模型的合理性。
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| 关 键 词： | 滑坡概率 逻辑回归模型 确定性系数 |
| 收稿时间： | 2017-12-12 |
| 修稿时间： | 2018-03-31 |
Application of logistic regression model in slope stability analysis |
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| WANG Yan-long,DU Li-zhi,HE Sai,CAI Wei-jia.Application of logistic regression model in slope stability analysis[J].World Geology,2018,37(3):945-951. |
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| Authors: | WANG Yan-long DU Li-zhi HE Sai CAI Wei-jia |
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| Institution: | College of Construction Engineering, Jilin University, Changchun 130026, China |
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| Abstract: | The logistic regression model and the deterministic coefficient CF are used to establish the probability model. There are 22 cases of slopes. The unit weight, cohesion, slope angle, slope height, internal friction angle and pore-pressure ratio are taken as independent variables and the slope state is taken as dependent variable. Natural logarithm Z of the ratio of landslide probability P to 1-P is used for regression analysis by SPSS. The fitting models of landslide probability are fed back to the sample parameters and the errors are compared. Finally the function model of Z=±10 is selected to verify the other 8 groups of slopes, which proves the rationality of the model. |
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| Keywords: | probability of landslide logistic regression model deterministic coefficient |
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