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Analytical Solutions of Three-Dimensional Contaminant Transport Models with Exponential Source Decay
Ombretta Paladino, Arianna Moranda1, Marco Massabò2
1Dipartimento di Ingegneria Meccanica, Energetica, gestionale e dei trasporti, Università degli Studi di Genova, Piazzale Kennedy, 16100, Genova, Italy.
Ground Water
|July 18, 2017
Summary
A new closed-form solution for multidimensional advection-dispersion systems offers accurate groundwater contamination risk assessment. This analytical model simplifies complex simulations, aiding regulatory compliance and environmental protection efforts.
Area of Science:
- Environmental Science
- Hydrogeology
- Computational Modeling
Background:
- Analytical solutions for advection-dispersion systems are crucial for groundwater contamination analysis.
- Numerical models exist, but interest in analytical solutions persists for specific applications like Tier I risk assessment.
- Regulatory frameworks often incorporate these models for evaluating contaminant transport.
Purpose of the Study:
- To develop a closed-form solution for a 3D advection-dispersion equation.
- To compare this new solution with existing integral and closed-form solutions.
- To assess the applicability and accuracy of the developed solution for risk assessment.
Main Methods:
- Derivation of a closed-form solution for the 3D advection-dispersion equation.
- Inclusion of exponential source decay, first-order reaction, and retardation.
- Development of ease-of-use diagrams for comparing solutions.
- Analysis of concentration contours, longitudinal, and transverse sections.
Main Results:
- The proposed closed-form solution provides acceptable approximations in the central plume area.
- Accuracy is maintained behind and beyond the advective front within the source width.
- The solution is valid for concentration values up to two orders of magnitude less than the initial source concentration.
- Comparison with integral open form and earlier closed-form solutions validated the approach.
Conclusions:
- The developed closed-form model offers a valuable tool for risk assessment procedures.
- Its ability to be evaluated without nested numerical computations enhances its utility.
- The model simplifies the analysis of groundwater contamination scenarios.
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