Preprints
https://doi.org/10.5194/hess-2023-112
https://doi.org/10.5194/hess-2023-112
30 May 2023
 | 30 May 2023
Status: this preprint was under review for the journal HESS. A final paper is not foreseen.

The physics behind groundwater recession and hydrologically passive mixing volumes

Baibaswata Bhaduri, Ophelie Fovet, Sekhar Muddu, and Laurent Ruiz

Abstract. Transit time and water age characteristics are fundamental descriptors of catchment response, and their determination is vital for the implementation of sustainable strategies for managing nutrients and other contaminants in water environments – especially for groundwater where the deeper stores take decades to flush the dissolved solutes. The deterministic transit time models can be broadly categorized into 2 sorts – lumped models based on conceptual parameters and distributed models based on physical and quantifiable hydrodynamic parameters. Due to their simplicity, applicability and flexibility, lumped conceptual models are thus far widely and successfully used in modelling the groundwater flow, transport, and transit time of solutes. Usually, a bunch of parallel hydrological response units work in harmony to model the desired hydrological and solute concentration time-series. But sole reliance on calibration, non-scalability, leveraging on hydrologically passive mixing volumes, lack of forward modelling potential and ineffective scrutiny of the physical basis of the parameters of these conceptual models often generate skepticism in the research community. To address this issue, we devised a technique to determine the physical basis of these conceptual reservoirs, and to establish a mathematical connection between physical hydrodynamic parameters and lumped conceptual parameters. A lumped groundwater nitrate transit time model composed of two parallel stores (slow and fast) was previously calibrated (using GLUE) to generate the time series of baseflow and nitrate concentration time series in a groundwater dominated agricultural catchment in France. In this study, we generated synthetic 2D Dupuit-Forchheimer unconfined aquifers using a standard finite element code (FEFLOW 7.5) to replicate outputs of the lumped model. Furthermore, sensitivity tests were performed on these synthetic catchments and overall, a clear mathematical connection between physical and conceptual parameters was demonstrated. It was further observed that the difference between fast and slow stores can be explained using dual porosity – with drainable porosity affecting recession, and immobile porosity affecting the size of hydrologically passive mixing volumes. The spatial mean of the age distributions, the mean transit time and the half nitrate recovery time agreed with each other for both stores. Further sensitivity tests showed that lumped conceptual stores individually cannot acknowledge dispersivity – the difference in attenuation of different stores, in unison, produce a pseudo-dispersive behavior. Also, being purely depth-based, there is a scale issue in lumped models – an erroneous input of catchment dimension can yield the identical results for a completely different set of hydrodynamic parameters leading to equifinality. Therefore, transit times should always be normalized by catchment scale while cross-comparing catchments using lumped models. These finding can help reduce calibration reliance of lumped models, providing options to investigate parameter effectiveness, and offers these models a forward modelling potential which can be used to calculate the flow and transport behavior of catchments that lack long term observed time series but have proper measurements of hydrodynamic properties.

This preprint has been withdrawn.

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Baibaswata Bhaduri, Ophelie Fovet, Sekhar Muddu, and Laurent Ruiz

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on hess-2023-112', Anonymous Referee #1, 26 Jun 2023
  • RC2: 'Comment on hess-2023-112', Anonymous Referee #2, 05 Jul 2023
  • EC1: 'Editor Comment on hess-2023-112', Hubert H.G. Savenije, 05 Jul 2023
    • AC1: 'Reply on EC1', Baibaswata Bhaduri, 16 Aug 2023
      • EC2: 'Reply on AC1', Hubert H.G. Savenije, 16 Aug 2023

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on hess-2023-112', Anonymous Referee #1, 26 Jun 2023
  • RC2: 'Comment on hess-2023-112', Anonymous Referee #2, 05 Jul 2023
  • EC1: 'Editor Comment on hess-2023-112', Hubert H.G. Savenije, 05 Jul 2023
    • AC1: 'Reply on EC1', Baibaswata Bhaduri, 16 Aug 2023
      • EC2: 'Reply on AC1', Hubert H.G. Savenije, 16 Aug 2023
Baibaswata Bhaduri, Ophelie Fovet, Sekhar Muddu, and Laurent Ruiz
Baibaswata Bhaduri, Ophelie Fovet, Sekhar Muddu, and Laurent Ruiz

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This preprint has been withdrawn.

Short summary
Lumped conceptual groundwater transit time models are widely used for their computational simplicity. But their parameters being empirical, these models are often criticized for their calibration reliance. This study mathematically links lumped conceptual parameters to measurable hydrodynamic properties of a groundwater catchment. This kind of direct parameterization gives lumped models a forward modelling potential, and also improves the choice of parameter constraints in calibration exercises.