【摘要】 采用等效连续介质模型,引入介质渗透系数张量与介质体积应变之间的函数关系式,建立能反映介质中孔隙压力与骨架变形非线性耦合作用的数学模型。视模型中的参数为随机变量,采用Taylor展开随机有限元法对该模型进行数值模拟,研究参数具有随机性情况下耦合场中孔隙压力、有效应力、位移等场变量的随机分布特征及孔隙压力、位移等场变量对参数的灵敏度。数值算例可检验所提出方法的有效性。更多还原

【Abstract】 Based on the equivalent continuum model,the function of the permeability tensor with respect to the volumetric strain in the media is combined with the classic Biot consolidation equations to establish mathematic modes simulating the nonlinear coupling process of the pore pressure and the deformation of the rock.The mechanical parameters in the model are treated as random variables and it is then resolved with Taylor extension stochastic finite element method.The distribution characteristics of the pore pressure,the effective stress and the displacement are researched by treating the mechanical parameters of the rock as random variables.The sensitivities of the pore pressure,the effective stress and the displacement to the random mechanical parameters are also analyzed.A numerical example proves the validity of the suggested method.更多还原