数据驱动的砂土中竖向受荷桩基响应预测

DATA-DRIVEN PREDICTION OF VERTICAL RESPONSE OF PILE FOUNDATIONS IN SAND

  • 摘要: 桩基础的竖向承载能力与桩–土界面剪切行为关系密切,通常采用剪应力–位移(tz)曲线来描述该行为。桩–土界面的剪切行为与众多因素相关,传统的tz曲线模型考虑的因素往往较少,无法精准地描述桩–土界面剪切行为。近年来,机器学习为多参数和非线性的岩土工程问题提供了一种有效的解决方案。基于已有的物理经验,本文使用量纲分析找到了描述桩–土界面剪切行为的无量纲参数,然后整理收集已有研究的tz曲线形成数据集,进而训练了极端梯度提升(XGBoost)–高斯过程回归(GPR)混合模型。结果表明,数据驱动的tz曲线预测模型具有较高的预测精度,据此进一步计算的桩基载荷–位移(Fz)曲线与试验结果具有良好的一致性,表明该模型具有出色的泛化性能和实用性。最后,基于SHAP方法和参数敏感性分析评估了各个无量纲参数对模型预测结果的影响,发现基于法向刚度、初始侧向压力和中值粒径组成的无量纲数影响较大,它能较好表征剪切过程中法向应力变化对剪切应力的影响。

     

    Abstract: The vertical bearing capacity of pile foundations is closely related to the shear behavior at the pile–soil interface. The shear stress–displacement (tz) curve is commonly used to characterize this behavior. The shear response at the pile–soil interface is influenced by numerous factors, and conventional t-z curve models often involve a limited number of variables, which restricts their ability to accurately represent the behavior. In recent years, machine learning has offered an effective solution for addressing multi-parameter and nonlinear geotechnical engineering problems. Building on existing physical insights, this study employs dimensional analysis to identify relevant parameters in dimensionless form. Using a dataset of tz curves from previous studies, a hybrid model combining extreme gradient boosting (XGboost) and Gaussian process regression (GPR) is trained. The results demonstrate that the proposed tz curve prediction model achieves high predictive accuracy. Furthermore, the computed load–displacement (Fz) curves of pile foundations based on the model show good agreement with experimental results, indicating strong generalization capability and practical applicability. Finally, using the SHAP method and parameter sensitivity analysis, the influence of various parameters on the model’s predictive performance is evaluated. It is found that dimensionless quantities related to normal stiffness, initial lateral pressure, and median particle size have significant impacts on the results, effectively capturing the influence of normal stress variation on shear stress during the shearing process.

     

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