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| Hauptverfasser: | , , , , , |
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| Format: | Artículo Open Access |
| Veröffentlicht: |
Wiley
2025
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| Schlagworte: | |
| Online-Zugang: | https://onlinelibrary.wiley.com/doi/10.1002/hyp.70313 |
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Inhaltsangabe:
- A Temporally Relaxed Theory Model for Non‐Equilibrium Solute Transport in Layered Media Joseph Antoine Nyoumea Ali Zarma Serge Mbida Mbembe Thomas Tjock‐Mbaga Jean Marie Ema’a Ema’a Germain Hubert Ben‐Bolie Hydrological Processes ABSTRACT This study presents a mathematical model based on the temporally relaxed theory (TRT) of Fick's law to describe one‐dimensional (1D) non‐Fickian solute transport in a layered heterogeneous porous medium. The model incorporates dual relaxation times accounting for flux lag () and storage lag (), to capture non‐equilibrium dynamics, yielding novel advection‐dispersion equations (ADEs) for each layer. The system, which includes a time‐dependent input source, is solved semi‐analytically using Laplace Transform Techniques, followed by numerical inversion. Graphical representations are generated using MATLAB software. The TRT model is rigorously validated against classical analytical solutions, including the linear equilibrium (LE) and mobile‐immobile (MIM) models, showing excellent agreement. Furthermore, excellent agreement with a high‐resolution finite volume numerical solution confirms its robustness under complex conditions. The results demonstrate that the relaxation times significantly influence spatial concentration profiles, remediation time and hydrological processes, with their impact being transport‐parameter‐dependent. The time lags effectively capture non‐linear phenomena like multi‐scale behaviour and anomalous transport, such as super‐diffusion, sub‐diffusion. This innovative approach provides valuable insights into solute transport in layered media and its implications for groundwater contamination, serving as a preliminary tool for studying decaying solute migration, such as radionuclides, and their impact on water quality. 10.1002/hyp.70313 http://onlinelibrary.wiley.com/termsAndConditions#vor