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Related Experiment Video

Updated: Jun 17, 2026

Parameterizing V-notch Weir Equations for Flow Monitoring in a Drainage Control Structure

Parameterizing V-notch Weir Equations for Flow Monitoring in a Drainage Control Structure

Published on: April 25, 2025

Analytical solutions for flow fields near drain-and-gate reactive barriers.

Harald Klammler¹, Kirk Hatfield, Anvar Kacimov

¹Department of Civil and Coastal Engineering, University of Florida, Gainesville, FL, USA. haki@gmx.at

|December 31, 2009

Summary

Drain-and-gate permeable reactive barriers (PRBs) are analyzed for groundwater remediation. This study provides charts to help optimize PRB capture width, crucial for effective contaminant removal in aquifers.

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Area of Science:

Environmental Engineering
Hydrogeology
Geochemistry

Background:

Permeable reactive barriers (PRBs) are widely used for passive in-situ remediation of contaminated aquifers.
Key design parameters for PRBs include residence time and capture width, influencing remediation efficiency.
Drain-and-gate (DG) PRB configurations offer a specific design approach for contaminant interception.

Purpose of the Study:

To analyze the capture width of drain-and-gate (DG) permeable reactive barriers (PRBs) using a conformal mapping approach.
To provide practical design tools, such as charts, for optimizing DG PRB performance in aquifer remediation.
To compare the flow characteristics of DG PRBs with other barrier designs regarding flow divergence.

Main Methods:

Application of a two-dimensional conformal mapping approach to model groundwater flow fields.
Derivation and analysis of complex potential solutions for DG PRB configurations in homogeneous aquifers.
Development of practitioner-friendly charts to determine capture width based on hydraulic resistance and flow direction.

Main Results:

Solutions for aquifer flow fields and capture width were derived for DG PRBs under various configurations and conditions.
The study identified DG PRBs as more prone to flow divergence around the reactor compared to barriers with impermeable sides.
Impermeable walls on drains were found to mitigate flow divergence issues in specific scenarios.

Conclusions:

The conformal mapping method provides a robust framework for analyzing DG PRB capture width.
The developed charts offer valuable assistance for engineers in designing and optimizing PRBs for effective aquifer remediation.
Understanding flow divergence is critical for DG PRB design, with potential mitigation strategies identified.