Stochastic Finite Element Method Applied to Groundwater Seepage in Soils

G. Auvinet and N.P. Lopez Acosta (Mexico)


Seepage, permeability, finite element method, uncertainty, stochastic analysis, FOSM method.


Stochastic Finite Element Method (SFEM) can be used to take uncertainty on hydraulic conductivity into account in steady groundwater seepage analyses. In the paper, the techniques based on a variational approach that can be used for solving Laplace equation by finite element method are briefly reviewed. The additional steps required to evaluate uncertainty on the results of this type of analysis using the First Order-Second Moments Method are described. Expected values, variances and covariances of hydraulic head, gradients and flow velocity are obtained. Typical results of stochastic seepage analyses are presented.

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