基于可解释机器学习的浅层地热水泥基灌浆复合材料导热性能预测与影响因素解析

Explainable Machine Learning-Based Prediction and Influencing-Factor Analysis of Thermal Conductivity of Cement-Based Grouting Composites for Shallow Geothermal Applications

  • 摘要: 为实现浅层地热用水泥基灌浆复合材料导热性能的快速预测并解析关键影响因素,基于多源文献收集整理330组有效数据,构建了包含配合比组成、孔隙结构、含水状态和体积密度等12个输入变量的导热系数数据库。采用高斯过程回归(GPR)、支持向量回归(SVR)、随机森林(RF)、CatBoost和XGBoost开展预测对比,并结合SHAP依赖分析、PDP–ICE和二维偏依赖分析解释XGBoost模型响应。XGBoost模型测试集决定系数R2达到0.9282,RMSE为0.2780 W·m?1·K?1,与GPR模型的RMSE较为接近。综合预测精度、非线性表征能力和可解释性,选取XGBoost作为主模型。SHAP结果表明,总孔隙率对模型输出的贡献最高,水胶比、砂胶比、颗粒相胶凝材料比和体积密度次之。PDP–ICE结果显示,总孔隙率增至约34%~36%后预测导热系数明显降低,水胶比和饱和度呈阶段性响应,砂胶比和导热填料比总体表现为正向作用。二维偏依赖结果进一步揭示了体积密度–饱和度、水胶比–砂胶比、总孔隙率–砂胶比等变量组合的联合响应特征。研究结果可为浅层地热水泥基灌浆复合材料导热系数预测、关键因素识别及配合比筛选提供参考。

     

    Abstract: To enable rapid prediction of the thermal performance of cement-based grouting composites for shallow geothermal applications and to identify the key influencing factors, 330 valid records were collected from multiple literature sources. A thermal-conductivity database containing 12 input variables related to mixture composition, pore structure, moisture condition, and bulk density was established. Gaussian process regression (GPR), support vector regression (SVR), random forest (RF), CatBoost, and XGBoost were compared, and the responses of the XGBoost model were interpreted using SHAP dependence analysis, PDP–ICE, and two-dimensional partial dependence analysis. The results show that XGBoost achieved a test-set coefficient of determination (R2) of 0.9282 and an RMSE of 0.2780 W·m?1·K?1, which was close to the RMSE of GPR. Considering predictive accuracy, nonlinear representation capability, and interpretability, XGBoost was selected as the principal model. The SHAP results indicate that total porosity makes the largest contribution to the model output, followed by the water-to-binder ratio, sand-to-binder ratio, granular-phase-to-binder ratio, and bulk density. The PDP–ICE results show that the predicted thermal conductivity decreases markedly when total porosity increases to approximately 34%–36%; the water-to-binder ratio and degree of saturation exhibit stage-dependent responses, whereas the sand-to-binder ratio and conductive filler-to-binder ratio generally show positive responses. The two-dimensional partial dependence results further reveal joint responses for bulk density–degree of saturation, water-to-binder ratio–sand-to-binder ratio, and total porosity–sand-to-binder ratio. These findings provide a reference for thermal-conductivity prediction, key-factor identification, and mixture screening of cement-based grouting composites for shallow geothermal applications.

     

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