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On Using Lumped Parameter Models and Temperature Cycles in Heterogeneous Aquifers.

Julien Farlin, Piotr Małoszewski1

  • 1Department of Hydrogeology and Engineering Geology, AGH University of Science and Technology Cracow, Al. Mickiewicza 30, 30-059, Cracow, Poland.

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This summary is machine-generated.

Estimating groundwater mean residence time using stable isotopes can be biased in heterogeneous catchments. This study refines analysis, showing bias depends on heterogeneity, and suggests temperature can calibrate transit time distribution models.

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Area of Science:

  • Hydrogeology
  • Environmental Science
  • Geochemistry

Background:

  • Annual cycles of stable isotopes are used to estimate transit time distribution (TTD) parameters.
  • Kirchner highlighted underestimation of mean residence time in heterogeneous catchments using this method.
  • Heterogeneity significantly impacts the accuracy of TTD parameter estimation.

Purpose of the Study:

  • To modify Kirchner's analysis and quantify the estimation bias in TTD parameters.
  • To investigate the relationship between catchment heterogeneity and estimation bias.
  • To explore the use of temperature as a tracer for calibrating groundwater flow models.

Main Methods:

  • Modified Kirchner's analysis to assess estimation bias.
  • Developed a model to predict water temperature amplitude from air temperature cycles.
  • Tested the model on a sandstone aquifer.

Main Results:

  • Estimation bias is directly related to the degree of catchment heterogeneity.
  • In low heterogeneity (permeable aquifers), TTD models for homogeneous media show minimal deviation.
  • Estimated and true mean transit times are comparable in low heterogeneity scenarios.
  • Temperature, despite not being a conservative tracer, successfully calibrated a lumped parameter model for TTD.

Conclusions:

  • The accuracy of TTD parameter estimation using stable isotopes is contingent on catchment heterogeneity.
  • Simple exponential models are adequate for low heterogeneity conditions.
  • Temperature variations can be effectively utilized to calibrate lumped parameter models for groundwater TTD, offering an alternative to conservative tracers.