<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this study, analytical models for predicting groundwater contamination in isotropic and homogeneous porous formations are derived. The impact of dispersion and diffusion coefficients is included in the solution of the advection-dispersion equation (ADE), subjected to transient (time-dependent) boundary conditions at the origin. A retardation factor and zero-order production terms are included in the ADE. Analytical solutions are obtained using the Laplace Integral Transform Technique (LITT) and the concept of linear isotherm. For illustration, analytical solutions for linearly space- and time-dependent hydrodynamic dispersion coefficients along with molecular diffusion coefficients are presented. Analytical solutions are explored for the Peclet number. Numerical solutions are obtained by explicit finite difference methods and are compared with analytical solutions. Numerical results are analysed for different types of geological porous formations i.e., aquifer and aquitard. The accuracy of results is evaluated by the root mean square error (RMSE).</p></abstract>

In this study, analytical models for predicting groundwater contamination in isotropic and homogeneous porous formations are derived. The impact of dispersion and diffusion coefficients is included in the solution of the advection-dispersion equation (ADE), subjected to transient (time-dependent) boundary conditions at the origin. A retardation factor and zero-order production terms are included in the ADE. Analytical solutions are obtained using the Laplace Integral Transform Technique (LITT) and the concept of linear isotherm. For illustration, analytical solutions for linearly space- and time-dependent hydrodynamic dispersion coefficients along with molecular diffusion coefficients are presented. Analytical solutions are explored for the Peclet number. Numerical solutions are obtained by explicit finite difference methods and are compared with analytical solutions. Numerical results are analysed for different types of geological porous formations i.e., aquifer and aquitard. The accuracy of results is evaluated by the root mean square error (RMSE).

Mathematical modeling of groundwater contamination with varying velocity field

Journal of Hydrology and Hydromechanics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Mathematical modeling of groundwater contamination with varying velocity field"}

In this study, analytical models for predicting groundwater contamination in isotropic and homogeneous porous formations are derived. The impact of dispersion...

Mathematical modeling of groundwater contamination with varying velocity field

Published Online: Mar 20, 2017

Page range: 192 - 204

Received: Apr 07, 2016

Accepted: Sep 08, 2016

DOI: https://doi.org/10.1515/johh-2017-0013

Keywords
Solute, Advection, Diffusion, Dispersion, Aquifer, Finite Difference Method

© 2017 Pintu Das et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mathematical modeling of groundwater contamination with varying velocity field

Published Online: Mar 20, 2017

Page range: 192 - 204

Received: Apr 07, 2016

Accepted: Sep 08, 2016

DOI: https://doi.org/10.1515/johh-2017-0013

KeywordsSolute, Advection, Diffusion, Dispersion, Aquifer, Finite Difference Method

© 2017 Pintu Das et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Solute, Advection, Diffusion, Dispersion, Aquifer, Finite Difference Method