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A Practical Modeling Framework for Non-Fickian Transport and Multi-Species Sequential First-Order Reaction.

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A new extended advection-dispersion equation (ADE) model captures complex groundwater contaminant transport, outperforming standard ADE models in predicting cleanup rates and timeframes for multiple pollutants.

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Area of Science:

  • Environmental Science
  • Hydrogeology
  • Geochemistry

Background:

  • Standard advection-dispersion equation (ADE) fails to accurately model non-Fickian contaminant transport due to heterogeneity and mobile-immobile mass exchange.
  • Non-Fickian transport, especially with simultaneous reactions, requires advanced modeling for accurate environmental risk assessment.

Purpose of the Study:

  • To present an extended ADE modeling framework based on continuous time random walk theory.
  • To develop and derive new transient and steady-state analytical solutions for non-Fickian transport with sequential first-order reactions.
  • To evaluate the performance of the extended ADE model against the standard ADE for contaminant plume behavior and remediation assessment.

Main Methods:

  • Developed an extended ADE framework using continuous time random walk theory.
  • Derived new transient analytical solutions in Laplace space and closed-form steady-state solutions for multi-species transport.
  • Applied the model to simulate contaminant plumes, including a 30-year groundwater cleanup case study.

Main Results:

  • The extended ADE framework accurately characterizes non-Fickian transport coupled with sequential first-order reactions for various contaminants.
  • Derived analytical solutions are applicable to heterogeneous aquifers with sorption-desorption and matrix diffusion, allowing differential degradation rates.
  • Simulations showed that the standard ADE can overestimate cleanup rates and underestimate cleanup timeframes compared to the extended model.
  • The extended ADE model successfully replicated observed long concentration tails at a real-world remediation site.

Conclusions:

  • The extended ADE model provides a more accurate representation of contaminant transport in heterogeneous aquifers than the standard ADE.
  • The developed analytical solutions offer practical tools for assessing groundwater remediation effectiveness and predicting long-term contaminant behavior.
  • This framework is crucial for effective management of contaminated sites involving complex hydrogeological conditions and multiple degrading contaminants.