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A Particle Tracking Algorithm for Arbitrary Unstructured Grids.

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  • 1Department of Civil and Environmental Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada.

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A new semi-analytical algorithm accurately models groundwater velocity in complex 3D grid cells. This method enhances particle tracking in MODFLOW-USG, improving groundwater flow simulations.

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Area of Science:

  • Hydrogeology
  • Computational Fluid Dynamics
  • Geospatial Analysis

Background:

  • Accurate groundwater velocity field generation is crucial for subsurface flow and transport modeling.
  • Existing methods may struggle with irregular grid geometries and high spatial variability.
  • MODFLOW-USG (Unstructured Grid) software requires robust algorithms for particle tracking.

Purpose of the Study:

  • To present a novel semi-analytical algorithm for calculating local groundwater velocity within irregular 3D grid cells.
  • To enable accurate particle tracking in MODFLOW-USG using unstructured grids.
  • To validate the algorithm against established methods and demonstrate its performance in challenging scenarios.

Main Methods:

  • Developed a semi-analytical algorithm to compute the groundwater velocity field within arbitrary 3D cells.
  • Integrated the algorithm into the mod-PATH3DU software package.
  • Tested the algorithm on rectilinear grids, comparing results with Pollock's analytical method.
  • Applied the method to complex test cases with significant within-cell flow field variations.

Main Results:

  • The algorithm successfully replicates results from Pollock's method on rectilinear grids.
  • Demonstrated accurate performance even with high spatial heterogeneity of the flow field within individual cells.
  • The method is compatible with various unstructured grid formats supported by MODFLOW-USG.

Conclusions:

  • The new semi-analytical algorithm provides a reliable approach for generating groundwater velocity fields in complex geometries.
  • Its implementation in mod-PATH3DU enhances particle tracking capabilities within MODFLOW-USG.
  • The algorithm offers a valuable tool for improving the accuracy and efficiency of groundwater modeling.