Abstract: In this study it is shown that in heterogeneous porous media all the ensemble average conservation equations, representing linear reactive and nonreactive transport at a spatial scale one step larger than the Darcy scale, ...

Abstract: The point-location-scale conservation equations of hydrologic processes, when viewed at the scale of computational grid areas, become stochastic partial differential equations (PDEs). For the upscaling of the point-location-scale ...

Abstract: In this paper, the second in a series of two, the theory developed in the companion paper is applied to the case of the stochastic overland flow equation, and a numerical solution method is presented for the resulting ...

Abstract: A new stochastic point rainfall model which considers the correlation structure between rain cell intensity and duration is developed. In order to consider the positive and negative correlations simultaneously, the Gumbel’s ...

Abstract: The fractional advection–dispersion equation (ADE) is a generalization of the classical ADE in which the second-order derivative is replaced with a fractional-order derivative. While the fractional ADE is analyzed as a ...

Abstract: Symmetry methods can be used to transform almost any kind of linear or nonlinear partial differential equation (PDE) that represents a hydrologic process in any dimension to an equivalent ordinary differential equation ...

Abstract: A numerical simulation for a longitudinally one-dimensional upscaled solute transport model is developed in order to predict the mean solute concentration in natural streams subject to irregular variations in various flow ...