土体本构模型参数的不确定性评估研究  

Uncertainty quantification in the parameters of soil constitutive models

作　　者：薛阳 苗发盛 吴益平[3] 温韬 王艳昆 XUE Yang;MIAO Fa-sheng;WU Yi-ping;WEN Tao;WANG Yan-kun(School of Geosciences,Yangtze University,Wuhan,Hubei 430100,China;Jiacha County Branch of Hubei Yangtze University Technology Development Co.,Ltd,Shannan,Xizang 856499,China;Engineering Faculty,China University of Geosciences,Wuhan,Hubei 430074,China)

机构地区：[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

出　　处：《岩土力学》2024年第9期2797-2807,共11页Rock and Soil Mechanics

基　　金：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)。

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η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。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 η 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.

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 

分 类 号：TU43[建筑科学—岩土工程]