基于VMD-SSA-LSSVM考虑时滞效应的库岸滑坡位移预测

    DISPLACEMENT PREDICTION OF RESERVOIR LANDSLIDES CONSIDERING TIME LAG EFFECTS BASED ON VMD-SSA-LSSVM

    • 摘要: 库水位波动和降雨是库岸滑坡变形的主要诱发因素,且滑坡变形对这类因素的响应具有滞后性。针对目前库岸滑坡位移预测未能充分考虑时间滞后效应的不足,提出一种基于VMD-SSA-LSSVM考虑时滞效应和有效降雨的库岸滑坡位移预测模型。以三峡库区白家包滑坡为例,首先通过监测数据分析和小波变换分析确定库水位快速下降对滑坡变形起主要作用,降雨的影响相对较小。使用小波相位分析和Granger因果检验分别确定库水位波动和降雨对滑坡变形的滞后时间,并计算出前期有效降雨量;然后,利用变分模态分解(VMD)将位移序列分解成趋势项、周期项和随机项,将考虑滞后时间和有效降雨后的影响因素序列分解成高频因子和低频因子,并为各项位移选择适合的影响因子;最后,采用麻雀搜索算法(SSA)优化的最小二乘支持向量机(LSSVM)模型对滑坡各项位移进行预测并累加,得到滑坡累计位移预测值,并与其他模型对比验证。结果显示,所提模型预测的拟合优度为0.9980,均方根误差为1.9125 mm,预测精度高于不考虑滞后时间或只考虑滞后时间不考虑有效降雨的模型,该模型可为同类库岸滑坡的防灾减灾工作提供一定的参考依据。

       

      Abstract: The fluctuation of reservoir water level and rainfall are major inducing factors of reservoir landslide deformation, with deformation responses exhibiting significant time lag. To address the limitations of current reservoir landslide displacement prediction models in accounting for this time lag effect, a displacement prediction model based on VMD-SSA-LSSVM, incorporating time lag effects and effective rainfall, is proposed. Using the Baijiabao landslide in the Three Gorges Reservoir area as an example, monitoring data analysis and wavelet transform were applied to identify that the rapid decline of reservoir water level plays a dominant role in landslide deformation, while the influence of rainfall is relatively minor. Wavelet phase analysis and Granger causality tests were used to determine the lag times of reservoir water level fluctuation and rainfall on landslide deformation, and the effective rainfall in the preceding period was calculated. The displacement sequence was decomposed into trend, periodic, and random components using variational mode decomposition (VMD). The influence factor sequence, after incorporating lag time and effective rainfall, was further decomposed into high-frequency and low-frequency factors, and suitable factors were selected for each displacement component. Finally, the least squares support vector machine (LSSVM) model, optimized by the sparrow search algorithm (SSA), was used to predict and accumulate landslide displacements, and the predicted cumulative displacement was compared with other models. The results show that the proposed model achieves a goodness of fit of 0.9980 and a root mean square error of 1.9125 mm. Its prediction accuracy exceeds that of models that either ignore time lag or consider time lag without incorporating effective rainfall. This model provides a valuable reference for disaster prevention and mitigation of similar reservoir landslides.

       

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