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Discretizing the fracture-matrix interface to simulate solute transport.

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  • 1School of Chemistry, Physics and Earth Sciences, Flinders University, GPO Box 2100, Adelaide, South Australia 5001, Australia. douglas.weatherill@flinders.edu.au

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Accurate numerical simulation of solute transport in fractured porous media requires extremely fine grid spacing near the fracture-matrix interface (FMI), especially when matrix diffusion is low. This finding impacts the use of discrete-fracture models in hydrology.

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Area of Science:

  • Geosciences
  • Environmental Engineering
  • Computational Hydrogeology

Background:

  • Numerical simulations are crucial for understanding solute transport in fractured porous media.
  • Accurate modeling requires appropriate spatial discretization, particularly at the fracture-matrix interface (FMI).
  • Previous studies have not emphasized the extreme grid refinement needed under certain conditions.

Purpose of the Study:

  • To determine the necessary spatial discretization perpendicular to the FMI for accurate numerical simulation of solute transport.
  • To investigate the influence of advection, dispersion, and matrix diffusion on grid requirements.
  • To assess the limitations of current discrete-fracture models.

Main Methods:

  • Comparison of numerical models (HydroGeoSphere, MT3DMS) with an analytical solution for solute transport in a single fracture.
  • Simulation of solute transport under varying conditions of advection, dispersion, and matrix diffusion.
  • Analysis of grid spacing requirements perpendicular to the FMI.

Main Results:

  • Very fine grid spacing, on the scale of the fracture aperture, is essential near the FMI to match analytical results for short timescales when advection/dispersion is high relative to matrix diffusion.
  • Higher matrix diffusion allows for coarser grid spacing at the FMI.
  • This requirement for fine discretization may limit the applicability of numerical discrete-fracture models in low matrix diffusion scenarios.

Conclusions:

  • The study highlights a critical, previously unreported, requirement for extremely fine spatial discretization in numerical models of solute transport in fractured media.
  • Modelers must carefully consider grid spacing near the FMI, especially when matrix diffusion is limited.
  • The findings suggest potential limitations for discrete-fracture models in certain hydrogeological settings.