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Generalized radial flow in synthetic flow systems.

Dale O Bowman1, Randall M Roberts, Robert M Holt

  • 1HydroResolutions, LLC, 1536 Ricasoli Dr. SE, Rio Rancho, NM 87124. The University of Mississippi, 118 Carrier Hall, University, MS 38677.

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Non-integer flow dimensions in pumping tests, often seen in fractured aquifers, can be explained by non-fractal geological structures, not just complex geometry. This research simulates flow in such fields to interpret aquifer heterogeneity.

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Area of Science:

  • Hydrogeology
  • Geophysics
  • Aquifer Mechanics

Background:

  • Traditional pumping test analysis methods fail in heterogeneous and fractured-rock aquifers, yielding inaccurate hydraulic property estimations.
  • The generalized radial flow model introduces a flow dimension parameter to characterize aquifer heterogeneity and geometry.
  • The interpretation of non-integer flow dimensions remains a significant research challenge in hydrogeology.

Purpose of the Study:

  • To investigate and interpret non-radial flow phenomena in fractured aquifers, specifically focusing on high-permeability conduits.
  • To develop and simulate flow within idealized non-radial flow conduits and non-fractal random fields.
  • To demonstrate that non-integer flow dimensions can be attributed to non-fractal aquifer geometries.

Main Methods:

  • Development and simulation of fluid flow within idealized non-radial flow conduits.
  • Simulation of pumping tests in non-fractal random fields exhibiting persistent sub-radial flow responses.
  • Application of the generalized radial flow model to analyze simulated pumping test data.

Main Results:

  • Non-integer flow dimensions were successfully simulated and linked to non-fractal geometries within aquifers.
  • The study provides a physical basis for interpreting sub-radial flow responses observed in pumping tests.
  • Simulations successfully mimicked well-test responses characteristic of the Culebra Dolomite.

Conclusions:

  • Non-fractal geometries in aquifers are a viable explanation for non-integer flow dimensions observed during pumping tests.
  • The findings offer improved methods for analyzing hydraulic properties in complex fractured-rock systems.
  • This research enhances the understanding of aquifer heterogeneity and its impact on well performance.