Long-range correlated percolation and flow and transport in heterogeneous porous media
نویسنده
چکیده
We introduce a percolation model with long-range correlations, and investigate ils scaling properties. Using this model, we provide a theoretical explanation for
منابع مشابه
Numerical Simulation and Estimation of the Transvers Macrodispersivity Coefficient of Aqueous Phase (Miscible) Contaminants of Salt Water in a Heterogeneous and Homogeneous Porous Media
Deterioration of groundwater resources in coastal regions due to the progression of saline water in aquifers in these regions is currently one of the important issues in providing water needs in these areas. In coastal regions, saline water enters the aquifer from below in shape of wedge. Due to the difference in the density between fresh and salty water, an interface zone forms between two flu...
متن کاملTwo-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...
متن کاملTwo-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...
متن کاملA “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media
In this paper a new macroscopic k-ε model is developed and validated for turbulent flow through porous media for a wide range of porosities. The morphology of porous media is simulated by a periodic array of square cylinders. In the first step, calculations based on microscopic v2 − f model are conducted using a Galerkin/Least-Squares finite element formulation, employing equalorder bilinear ve...
متن کاملMultiple Solutions for Slip Effects on Dissipative Magneto-Nanofluid Transport Phenomena in Porous Media: Stability Analysis
In the present paper, a numerical investigation of transport phenomena is considered in electrically-conducting nanofluid flow within a porous bed utilizing Buongiorno’s transport model and Runge-Kutta-Fehlberg fourth-fifth order method. Induced flow by non-isothermal stretching/shrinking sheet along with magnetic field impact, dissipation effect, and slip conditions at the surface are...
متن کامل