Solute mass transport in porous media is strongly correlated with pore fluid flow. The analysis of solute transport is an effective means for studying medium heterogeneities. In this study, we discuss the effects of heterogeneity on the tracer transport. Assuming steady fluid flow, we have simulated tracer transport in various permeability heterogeneities. The results show that the tracer distr...

This study aims to evaluate the validity of Fractional Advection-Dispersion equation (FADE) in breakthrough curves saturated homogenous soil media, i.e. clay, and examine three primary restraints, pore water velocity, dispersion coefficient, order fractional differentiation which are impacting solute transport behavior (Fickian or Non-Fickian). In this study, FADE framework used characterize pr...

In this work we present an efficient implementation of Eulerian TVD methods. We apply parallelization strategies based entirely on GPU for the solution 2D transport equation in heterogeneous porous media. Additionally, a parallel strategy is proposed generation exponentially correlated lognormally distributed permeability fields GPU. The programs are developed using C++/CUDA. implemented method...

In this paper, a class of fractional advection-dispersion models (FADMs) is considered. These models include five fractional advection-dispersion models, i.e., the times FADM, the mobile/immobile time FADM with a time Caputo fractional derivative 0 < γ < 1, the space FADM with two sides Riemann-Liouville derivatives, the timespace FADM and the time fractional advection-diffusion-wave model with...

A two-dimensional two-phase numerical model is developed to predict transport and fate of oil slicks which resulted the concentration distribution of oil on the water surface. Two dimensional governing equation of fluid flow which consists mass and momentum conservation was solved using the finite difference method on the structured staggered grid system. The resulted algebric equations were so...

Modeling subsurface solute transport is difficult-more so than modeling heads and flows. The classical governing equation does not always adequately represent what we see at the field scale. In such cases, commonly used numerical models are solving the wrong equation. Also, the transport equation is hyperbolic where advection is dominant, and parabolic where hydrodynamic dispersion is dominant....

The two-dimensional problem of advection–dispersion associated with a non-aqueousphase liquid (NAPL) pool is addressed using the boundary element method. The problem is appropriately posed with an inhomogeneous boundary condition taking into consideration the presence of the pool and the impermeable layer. We derive a Fredholm integral equation of the first kind for the concentration gradient a...

In this work the parallel plate geometry has been considered to analytically solve the advection – dispersion equation in porous media. The general solution was obtained by the application of Cosine Fourier Series for the transversal domain, by the application of the Laplace Transform in regard to the temporal dimension and the introduction of a Theta Function. A brief comparison with a commonl...