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基于迁移学习的黏土岩多源数据驱动本构模型: 方法、算法与应用

MULTI-SOURCE DATA-DRIVEN CONSTITUTIVE MODEL FOR CLAYSTONE USING TRANSFER LEARNING: METHODOLOGY, ALGORITHM AND APPLICATION

  • 摘要: 近年来, 基于机器学习方法的数据驱动本构模型逐渐成为岩土材料本构关系表征的新范式. 然而, 由于成本高、耗时长等缺点, 从试验中获得的数据通常较少; 而依赖现有模型生成的合成数据难以反映岩土材料的真实特性. 为此, 本研究针对Callovo-Oxfordian(COx)黏土岩的力学本构表征, 结合高保真数据(室内试验提供)与低保真数据(理论本构模型合成), 采用迁移学习方法构建相应的多源数据驱动本构模型. 同时, 发展了适用于该本构模型的隐式应力积分算法, 并将其植入有限元软件ABAQUS中. 最后, 通过对黏土岩处置库开挖问题的数值模拟试验, 验证了本文构建的本构模型在边值问题中的适用性与泛化能力. 数值试验结果表明, 数据驱动本构模型在继承原有理论本构框架的基础上, 能更准确地反映围岩的力学响应, 显著提升了本构模型对试验数据的预测精度. 本研究为岩土材料多源数据驱动本构模型的构建与数值实现提供了新的思路和方法, 同时也为黏土岩处置库的稳定性评估提供了有效的技术工具.

     

    Abstract: In recent years, data-driven constitutive models, developed using machine learning approaches, have become increasingly popular for the constitutive modelling of geomaterials. However, this emerging paradigm faces a significant challenge that experimental data are usually scarce due to the expensive and time-consuming disadvantages, while synthetic data generated rely on existing theoretical model are difficult to reflect the true characteristics of geotechnical materials. In this study, a multi-source data-driven constitutive model for Callovo-Oxfordian (COx) claystone is developed by integrating high-fidelity and low-fidelity data through a transfer learning strategy to tackle the data scarcity issue. The high-fidelity data are collected from experimental results published in the literature, while the low-fidelity data are generated by a theoretical constitutive model. An implicit stress point integration algorithm is then developed for the proposed data-driven model and implemented in the Finite Element Method software ABAQUS via a user subroutine. Finally, numerical simulations are conducted to analyse underground excavation in argillaceous nuclear waste repositories, demonstrating the applicability of the developed model to practical boundary value problems. Numerical tests on representative volume elements show that, compared to the theoretical constitutive model, the prediction accuracy of the proposed data-driven model for experimental data is significantly improved. In summary, this study presents a novel methodology for developing multi-source data-driven constitutive models for geomaterials, offering a valuable tool for the stability assessment of nuclear waste disposal facilities.

     

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