岩土力学 ›› 2024, Vol. 45 ›› Issue (9): 2797-2807.doi: 10.16285/j.rsm.2023.1648

• 岩土工程研究 • 上一篇    下一篇

土体本构模型参数的不确定性评估研究

薛阳1, 2,苗发盛3,吴益平3,温韬1, 2,王艳昆1, 2   

  1. 1. 长江大学 地球科学学院,湖北 武汉 430100;2. 湖北长大科技开发有限公司加查县分公司,西藏 山南 856499; 3. 中国地质大学(武汉) 工程学院,湖北 武汉 430074
  • 收稿日期:2023-11-02 接受日期:2024-01-21 出版日期:2024-09-06 发布日期:2024-09-03
  • 作者简介:薛阳,男,1994年生,博士,讲师,主要从事岩土体稳定性评价方面的研究。E-mail: yangxue@yangtze.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(No.42307242);湖北省自然科学基金(No.2023AFB322);校级大学生创新创业训练计划项目(No.Yz2023029);西藏自治区科技计划项目(No.XZ202301YD0034C,No.XZ202202YD0007C)。

Uncertainty quantification in the parameters of soil constitutive models

XUE Yang1, 2, MIAO Fa-sheng3, WU Yi-ping3, WEN Tao1, 2, WANG Yan-kun1, 2   

  1. 1. School of Geosciences, Yangtze University, Wuhan, Hubei 430100, China; 2. Jiacha County Branch of Hubei Yangtze University Technology Development Co., Ltd, Shannan, Xizang 856499, China; 3. Engineering Faculty, China University of Geosciences, Wuhan, Hubei 430074, China
  • Received:2023-11-02 Accepted:2024-01-21 Online:2024-09-06 Published:2024-09-03
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (42307242), the Natural Science Foundation of Hubei Province (2023AFB322), the School Level Training Program of Innovation and Entrepreneurship for Undergraduates (Yz2023029) and the Science and Technology Program of Xizang Autonomous Region (XZ202301YD0034C, XZ202202YD0007C).

摘要: 模型参数评估是本构模型发展的重要研究内容。为了考虑本构模型参数评估过程中存在的误差,采用基于结构可靠度、子集模拟和自适应条件抽样方法的贝叶斯框架,提出一种基于试验数据反演的本构模型参数不确定性评估方法。分别以表征岩土体剪应力−剪应变的节理剪切本构模型和描述土体非线性应变增量−应力增量的亚塑性黏土本构模型为例,研究了本构模型参数、土体偏应力−应变和孔隙比−压力曲线的不确定性表征结果,并分析了模型参数对试验结果的敏感性。结果表明该方法可以评估验数据驱动下本构模型参数的拟合不确定性。对于应力−应变曲线的表征,节理模型参数 和的贡献相对较大,而亚塑性模型的多数参数贡献度差异较小。研究结果有助于加深对这两种本构模型的理解以及提高本构模型预测的可靠性。

关键词: 节理本构模型, 亚塑性模型, 贝叶斯理论, 不确定性量化

Abstract: The assessment of model parameters is crucial in developing constitutive models. However, the results of parameter assessment for these models are inevitably subject to errors. Hence, a Bayesian framework utilizing structural reliability, subset simulation, and adaptive conditional sampling methods is employed to assess the uncertainty of constitutive model parameters through test data inversion. Using the joint shear constitutive model for shear stress-shear strain characterization of rock-soil mass and the hypoplastic clay constitutive model for nonlinear soil stress-strain increment description as case studies, this study investigates the uncertainties in model parameters, shear stress-strain curves, and pore ratio-pressure curves. Furthermore, it analyzes the sensitivities of model parameters to test outcomes. The research demonstrates that this approach evaluates parameter uncertainty driven by test data. The joint shear constitutive model parameters are primarily influenced by  in stress-strain curve representation, while most parameters of the hypoplastic model have a notable impact. These results enhance comprehension and enhance the predictive reliability of these two constitutive models.

Key words: shear stress constitutive model, hypoplastic model, Bayesian framework, uncertainty quantification

中图分类号: TU43
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