面向基坑围护结构动态变形控制的物理信息驱动机器学习预测模型
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1.同济大学土木工程学院地下建筑与工程系,上海;2.江苏省交通工程建设局;3.华设设计集团股份有限公司

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TU753

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苏通第二过江通道关键技术类专题(STE-SJZT-3-12)


Physics-informed machine learning prediction model for dynamic deformation control of foundation pit retaining structure
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1.Department of Geotechnical Engineering,School of Civil Engineering,Tongji University;2.Jiangsu Provincial Transport Engineering Construction Bureau;3.China Design Group Co,Ltd

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    摘要:

    基坑围护结构施工期变形受开挖工序、支撑架设、土体性质及施工时效等因素共同影响,具有明显的动态演化特征。采用传统弹性地基梁法进行预测时,土体参数与支撑有效刚度难以随施工过程和监测反馈实时更新;采用纯数据驱动神经网络进行预测时,又容易受到物理约束不足和训练样本有限的制约。为兼顾弹性地基梁法的力学可解释性与机器学习的参数优化能力,本文提出一种嵌入弹性地基梁有限元前向计算的物理信息机器学习预测模型。该模型以弹性地基梁法为物理基础,通过有限元方法建立地层水平抗力比例系数、支撑有效刚度与围护结构位移响应之间的前向映射关系,并将该有限元计算过程嵌入机器学习计算图。在模型训练中,将地层水平抗力比例系数和支撑有效刚度作为可训练参数,以现场监测位移与模型计算位移之间的均方误差构建损失函数,通过自动微分与反向传播算法实现关键参数的动态反演和围护结构变形预测。所提出的模型将弹性地基梁法的力学约束引入机器学习计算图与训练过程,既提高了预测结果的物理一致性和可解释性,又降低了模型对大规模监测数据的依赖。工程案例结果表明,该模型能够较好反映基坑围护结构变形的动态演化规律,反演参数与预测位移具有较好的合理性,可为施工期围护结构变形预警、支护参数调整和基坑安全控制提供技术支撑。数调整和基坑安全控制提供技术支撑。

    Abstract:

    The deformation of retaining structures during foundation pit construction is influenced by multiple factors, including excavation sequence, strut installation, soil properties, and construction time effects. Such deformation exhibits obvious dynamic evolution characteristics. When traditional elastic foundation beam methods are used for prediction, soil parameters and effective strut stiffness cannot be updated in real time with construction processes and monitoring feedback. When purely data-driven neural networks are used for prediction, the predictions are limited by insufficient physical constraints and limited training samples. To balance the mechanical interpretability of the elastic foundation beam method and the parameter optimization capability of machine learning, a physics-informed machine learning prediction model that embeds the forward computation of an elastic foundation beam finite element is proposed in this paper. The model took the elastic foundation beam method as its physical basis. The forward mapping relationship among the horizontal proportionality coefficient of subgrade reaction, effective strut stiffness, and the displacement response of the retaining structure was established through the finite element method. This finite element computation process was then embedded into the computational graph of machine learning. During model training, the horizontal proportionality coefficient and effective strut stiffness were treated as trainable parameters. The mean squared error between the field-monitored displacement and the model-calculated displacement was used to construct the loss function. Key parameters were dynamically inverted, and retaining structure deformation was predicted through automatic differentiation and the backpropagation algorithm. The proposed model introduces the mechanical constraints of the elastic foundation beam method into the machine learning computational graph and training process. In this way, the physical consistency and interpretability of the prediction results are improved, and the dependence of the model on large-scale monitoring data is reduced. Results from an engineering case study show that the model can reasonably reflect the dynamic evolution law of retaining structure deformation in foundation pit construction. The inverted parameters and predicted displacements exhibit good rationality. The model can provide technical support for deformation warning of retaining structures, adjustment of support parameters, and safety control of foundation pits during construction.

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朱时杰,王强,方忠强,等. 面向基坑围护结构动态变形控制的物理信息驱动机器学习预测模型[J]. 科学技术与工程, , ():

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  • 收稿日期:2026-07-02
  • 最后修改日期:2026-09-23
  • 录用日期:2026-09-29
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