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Modeling the usefulness of spatial correlation analysis on karst systems.

Trevor J Budge1, John M Sharp

  • 1Department of Geological Sciences, Jackson School of Geosciences, University of Texas at Austin, Austin, TX 78712, USA. trevor_budge@urscorp.com

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Cross-correlation analysis of field data helps understand karst aquifer systems and map recharge zones, crucial for urban areas. This method uses precipitation and discharge data to infer spatial variations in aquifer properties.

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Area of Science:

  • Hydrogeology
  • Environmental Science
  • Geophysics

Background:

  • Karst aquifer systems are vital water sources, increasingly threatened by urban development.
  • Understanding spatial variations in aquifer properties, particularly recharge distribution, is critical for effective water management.
  • Traditional methods often lack the resolution to capture complex spatial heterogeneity in karst systems.

Purpose of the Study:

  • To develop and demonstrate a method for spatially characterizing recharge distribution in karst aquifers.
  • To utilize cross-correlation analysis with spatially varying precipitation data for inferring recharge locations.
  • To expand upon numerical groundwater modeling experiments by incorporating spatially variable parameters.

Main Methods:

  • Cross-correlation analysis of field data (precipitation and spring discharge).
  • Numerical groundwater modeling using MODFLOW with spatially varying parameters.
  • Application of methods to conduit-controlled, matrix-controlled, and mixed karst systems.
  • Utilizing multiple precipitation time series inputs.

Main Results:

  • Spatially varying aquifer parameters can be inferred from the cross-correlation of precipitation and spring discharge data.
  • The cross-correlation analysis effectively characterizes spatial recharge distribution in karst aquifers.
  • Numerical simulations using parameters from the Barton Springs Edwards Aquifer validated the inference of spatial variability.

Conclusions:

  • Cross-correlation analysis is a viable tool for understanding spatial heterogeneity in karst aquifers.
  • The developed method provides a means to spatially characterize recharge, aiding in water resource management.
  • Field study at Barton Springs demonstrates the practical application of these techniques.