Detect unstable hydraulic zones in Walkerton network using Bezier curvature

[Tania526-sudo]

The Walkerton_Bezier_Analysis.ipynb notebook includes initial Bezier smoothing over pipeline segments. To expand this work, we will analyze curvature along pipe paths to detect hydraulically unstable zones, such as:

• zones with pressure drop
• non-uniform flow areas
• irregular geometries from urban retrofitting

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Goals:

• Compute curvature at multiple points along Bezier-fitted pipe segments
• Visualize curvature heatmap over the Walkerton network
• Identify zones with abrupt changes in direction (high 2nd derivative)
• Cross-reference with pressure & velocity simulation data (EPANET/WNTR)
• Flag zones as unstable, moderate, or stable using thresholds

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Possible Methods:

• Use second derivative (d²y/dx²) of the Bezier spline
• Normalize curvature over pipe length
• Classify zones based on curvature/pressure joint criteria

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Tools:

• numpy, scipy for derivative estimation
• matplotlib, networkx, or folium for visualization
• WNTR or epyt.epanet for hydraulic data

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Related Files:

• Walkerton_Bezier_Analysis.ipynb
• walkerton.inp (EPANET input file)
• Lab3_Fractals.ipynb (optional cross-reference: shape complexity)

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Future Expansion:

• Use GNN or PINN for zone classification
• Introduce anomaly scores based on curvature + pressure + topology

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PR in progress: add-readme-and-visualization
Labels: analysis, hydraulics, Bezier, EPANET, priority