Author:
Kondratenko Petr S.,Matveev Leonid V.,Vasiliev Alexander D.
Abstract
Abstract
A new method is developed to calculate characteristics of contaminant transport (including non-classical regimes) in statistically homogeneous sharply contrasting media. A transport integro-differential equation in the space-time representation is formulated on the basis of the model earlier proposed by one of the authors (L. M.). Analytical expressions for transport characteristics in limiting time intervals in the one-dimensional case are derived. An interpolation form is proposed for the integral kernel of the transport equation. On a basis of this expression, an algorithm is developed for numerical modelling the contaminant transport in statistically homogeneous sharply contrasting media. Trial numerical 1D calculations are performed based on this algorithm. Good agreement was found between the numerical simulation results and the asymptotic analytical expressions.
Subject
Modelling and Simulation,Numerical Analysis
Reference36 articles.
1. A general memory function for modeling mass transfer in groundwater transport;Water Resour. Res.,2012
2. A dual-porosity Model for simulating the preferential movement of water and solutes in structured porous media;Water Resour. Res.,1993
3. Solutions to and Validation of Matrix- Diffusion Models;Transport Porous Med.,2011
4. Semi-analytical method for matrix diffusion in heterogeneous and fractured systems with parent-daughter reactions;J. Contam. Hydrol.,2018
5. Transport behavior of a passive solute in continuous time random walks and multirate mass transfer;Water Resour. Res.,2003
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