A Monte Carlo Simulation of Water Flow in Variably Saturated Porous Media
Abstract
A Monte Carlo simulation method is employedto study groundwater flowin variably saturated fractal porous media. The water movement is assumed to be described by Richards' equation which is solved using a hybridized mixed finite element procedure.
Spatial heterogeneties in the hydraulic properties are assumed to obey fractional Brownian motion (fBm) or fractional Gaussian noise (fGn) statistics. A numerical example showing the implementation of the algorithm including the calculation of the statistical moments of the main variables is presented.
Spatial heterogeneties in the hydraulic properties are assumed to obey fractional Brownian motion (fBm) or fractional Gaussian noise (fGn) statistics. A numerical example showing the implementation of the algorithm including the calculation of the statistical moments of the main variables is presented.
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ISSN 2591-3522