融合物理机制与符号回归的中寨滑坡降雨阈值预测
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1.水利部黄河流域水治理与水安全重点实验室;2.河北地质大学城市地质与工程学院;3.自然资源部京津冀城市群地下空间智能探测与装备重点实验室

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P642

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国家自然科学基金(41902298);河北省自然科学基金项目(D2019403151);水利部黄河流域水治理与水安全重点实验室(筹)研究基金资助


Prediction of Rainfall Threshold for the Zhongzhai Landslide Based on the Integration of Physical Mechanisms and Symbolic Regression
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1.Key Laboratory of Water Management and Water Security for Yellow River Basin,Ministry of Water Resourcesunder construction;2.School of Urban Geology and Engineering, Hebei GEO University;3.Key Laboratory of Intelligent Detection and Equipment for Underground Space in the Beijing-Tianjin-Hebei Urban Area, Ministry of Natural Resources

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    摘要:

    降雨阈值曲线构建是降雨诱发滑坡预警与风险判别的重要基础。针对传统经验阈值方法依赖历史灾害样本、物理模型计算效率受限以及常规机器学习模型可解释性不足等问题,本文以甘肃省天水市中寨滑坡为研究对象,提出一种融合渗流—稳定性物理机制与基因表达编程(Gene Expression Programming,GEP)符号回归的降雨阈值曲线预测方法。首先由Van Genuchten模型得到非饱和土水特征曲线,通过有限元法模拟降雨入渗过程得到孔隙水压力演化;随后将渗流结果引入稳定性分析,通过Morgenstern–Price极限平衡法获得不同降雨强度和降雨历时条件下滑坡稳定系数(Stability coefficient,Fs)的响应数据,用以表征降雨入渗、孔隙水压力累积、有效应力降低及抗剪强度衰减对坡体失稳的影响。在此基础上,构建了以降雨强度和降雨历时为输入、稳定系数为输出的GEP显式响应面模型,并以Fs=1.05作为预警判据提取连续降雨阈值曲线。结果表明,GEP模型能够较好拟合数值模拟所得稳定性响应规律,提取的阈值曲线与原始模拟离散阈值吻合良好,R²为0.997940,RMSE为1.198232mm/d,MAE为0.614462mm/d。在150mm/d大暴雨工况下,GEP反推预警历时与数值模拟结果基本一致,相对误差仅为0.66%。该方法构建了融合物理机制与符号回归的滑坡降雨阈值预测框架,可为单体滑坡降雨预警阈值的确定提供参考。

    Abstract:

    The construction of rainfall threshold curves is a crucial foundation for predicting landslides triggered by rainfall and assessing risks. In response to the limitations of traditional empirical threshold methods,which rely on historical disaster data,have limited computational efficiency due to physical model calculations,and lack sufficient interpretability in conventional machine learning models,this study takes the Zhongzhai landslide in Tianshui City,Gansu Province as an example.It proposes a new method for predicting rainfall threshold curves by integrating seepage-stability physical mechanisms with Gene Expression Programming (GEP) symbolic regressiontechniques.First,finite element seepage-stability simulation is used to obtain the unsaturated soil water characteristic curve based on the Van Genuchten model.This curve is then used to simulate the evolution of pore water pressure during rainfall infiltration. Subsequently,the seepage results are incorporated into the stability analysis.Using the Morgenstern–Price limit equilibrium method,response data for the stability coefficient of landslides under different rainfall intensities and duration can be obtained.This model is used to characterize the impact of rainfall infiltration,pore water pressure accumulation, reduced effective stress,and decreased shear strength on the instability of slopes.Based on this,this study constructs a explicit response surface model where rainfall intensity and duration are input variables, and stability coefficients are output variables.The threshold curve for continuous rainfall is determined using the warning criterion of Fs=1.05. The results show that the GEP model can effectively fit the stability response patterns obtained from numerical simulations. The threshold curves derived by the GEP model closely match those of the original numerical simulations. The R² value is 0.997940, the RMSE is 1.198232 mm/d, and the MAE is 0.614462 mm/d. Under the condition of heavy rainfall of 150 mm/d, the warning times predicted by the GEP model are consistent with those from numerical simulations, with a relative error of only 0.66%. This method develops a framework for predicting landslide rainfall thresholds that integrates physical mechanisms with symbolic regression. It can serve as a reference for determining rainfall warning thresholds for individual landslides.

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刘玮佳,赵强,王晓明,等. 融合物理机制与符号回归的中寨滑坡降雨阈值预测[J]. 科学技术与工程, , ():

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  • 收稿日期:2026-06-23
  • 最后修改日期:2026-08-17
  • 录用日期:2026-09-09
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