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Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation
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Nonlinear flow in karst formations.

David A Chin1, René M Price, Vincent J DiFrenna

  • 1Department of Civil Engineering, University of Miami, Coral Gables, FL 33124, USA. dchin@miami.edu

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|September 11, 2009
PubMed
Summary
This summary is machine-generated.

Effective hydraulic conductivity in Key Largo Limestone deviates from Darcian flow at a Reynolds number of 0.11, aligning with the Forchheimer equation. Threshold models for karstic formations showed limited agreement with nonlinear flow data.

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Area of Science:

  • Geology
  • Hydrogeology
  • Fluid Dynamics

Background:

  • Understanding fluid flow through porous media is crucial in hydrogeology.
  • Karstic formations exhibit complex flow patterns that often deviate from simple Darcian flow.
  • Key Largo Limestone is a prevalent geological formation in South Florida with significant karst features.

Purpose of the Study:

  • To investigate the relationship between effective hydraulic conductivity and specific discharge in Key Largo Limestone.
  • To determine the conditions under which Darcian flow deviates from nonlinear flow regimes.
  • To evaluate the applicability of existing models for nonlinear flow in karstic environments.

Main Methods:

  • Experimental investigation using 0.2-m and 0.3-m cubes of Key Largo Limestone.
  • Measurement of effective hydraulic conductivity at varying specific discharge rates.
  • Analysis of experimental data using the Forchheimer equation and Reynolds number calculations.

Main Results:

  • Experimental results closely matched the predictions of the Forchheimer equation.
  • Significant deviations from Darcian flow were observed when the Reynolds number exceeded 0.11.
  • A previously proposed threshold model for karstic formations showed poor agreement with the onset of nonlinear flow data.

Conclusions:

  • The Forchheimer equation accurately describes the nonlinear flow behavior in Key Largo Limestone.
  • The Reynolds number serves as a critical parameter for identifying deviations from Darcian flow in this formation.
  • Existing threshold models may require refinement for accurate prediction of nonlinear flow in similar karstic settings.