Stochastic seepage based on complex expression

The permeability coefficient here is expressed in form of complex variable, the imaginary part of which is the variation value. The node head value and its variation value are calculated by self-compiling program according to the solution of linear equations with complex coefficient based on the finite element method. The permeability coefficient of curtain is considered as random variable and to be in uniform distribution by using Monte Carlo stochastic finite element method to calculate the stochastic seepage filed. The head mean value and the head standard deviation are used to represent the statistical values of the calculated results obtained by the Monte Carlo stochastic finite element method. The calculated values of head value and the head variation are compared with the head mean value and the head standard deviation by numerical simulation. The results demonstrate that the seepage calculation with permeability coefficient expressed in complex variable is correct and feasible. This study provides a convenient method for solving large complex problem under large variability conditions.