Formula Used:
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The Area of Catchment for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir, calculated specifically for conditions where the weighted mean slope is less than 0.0028.
The calculator uses the formula:
Where:
Explanation: This formula calculates the catchment area based on the peak discharge and weighted mean slope, with specific coefficients optimized for slopes less than 0.0028.
Details: Accurate catchment area calculation is crucial for hydrological modeling, flood prediction, water resource management, and infrastructure planning in watershed areas with gentle slopes.
Tips: Enter peak discharge in m³/s and weighted mean slope as a dimensionless value. Both values must be positive numbers greater than zero.
Q1: What is the significance of the 0.0028 slope threshold?
A: This specific formula is optimized for watersheds with very gentle slopes (less than 0.0028), where different hydrological relationships apply compared to steeper terrain.
Q2: How is weighted mean slope calculated?
A: Weighted mean slope is derived by considering the slope of different segments of the catchment area, weighted by their respective contributions to the overall flow.
Q3: What are typical values for peak discharge?
A: Peak discharge values vary widely depending on catchment size, rainfall intensity, and other factors, ranging from less than 1 m³/s for small catchments to hundreds or thousands for large watersheds.
Q4: Are there limitations to this formula?
A: This formula is specifically designed for gentle slopes (less than 0.0028) and may not be accurate for steeper terrain or catchments with complex hydrological characteristics.
Q5: How does this relate to unit hydrograph theory?
A: The formula incorporates the D-h unit hydrograph concept, which represents the runoff response of a catchment to a unit depth of excess rainfall over a specific duration.