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Analytical Models for Heat Transport in Confined Aquifers with Geothermal Applications

GitHub License https://doi.org/10.25928/5d1n-5b10

Overview

This repository contains Jupyter notebooks implementing analytical models for heat transport in confined aquifers. The notebooks cover solutions for geothermal doublet systems, combining advective heat transport within the aquifer and conductive heat exchange with surrounding layers. These models address scenarios both with and without regional groundwater flow and serve as lightweight benchmarks for more complex numerical simulations.

Contents

  • Analytical solution for heat transport in a confined aquifer (Schulz, 1987)
  • Adapted analytical solution of tracer transport for heat transport without aquitard exchange (Charbeneau, 2000)
  • Combined model for heat transport including aquifer-aquitard exchange without regional flow
  • Scripts to visualize temperature distribution, streamlines, and thermal breakthrough curves
  • Comparison and validation of solutions for geothermal doublet systems

Dependencies

  • Python 3.x
  • Jupyter Notebook or JupyterLab
  • Common scientific libraries: NumPy, SciPy, Matplotlib

Citation

Please cite the following references when using these notebooks:

  • Schulz, R. (1987). Analytical model calculations for heat exchange in a confined aquifer. Journal of Geophysics, 61, 12–20.
  • Charbeneau, R. J. (2000). Groundwater Hydraulics and Pollutant Transport. Prentice Hall, Upper Saddle River.

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