Catchment Area Given Peak Rate of Runoff from Dredge Formula Calculator

Dredge Formula:

\[ A_{km} = \frac{Q_d \times L^{2/3}}{19.6} \]

Catchment Area in KM (A_km):

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1. What is the Dredge Formula?

The Dredge Formula is used to calculate the catchment area based on the peak rate of runoff and the length of the drain. It provides an estimation of the geographical region from which water drains into a specific river, lake, or reservoir.

2. How Does the Calculator Work?

The calculator uses the Dredge Formula:

\[ A_{km} = \frac{Q_d \times L^{2/3}}{19.6} \]

Where:

\( A_{km} \) — Catchment Area in square kilometers (km²)
\( Q_d \) — Peak Rate of Runoff from Dredge Formula in cubic meters per second (m³/s)
\( L \) — Length of Drain in meters (m)

Explanation: The formula calculates the catchment area by considering the peak runoff rate and the length of the drain, with the exponent 2/3 accounting for the non-linear relationship between these variables.

3. Importance of Catchment Area Calculation

Details: Accurate catchment area estimation is crucial for water resource management, flood prediction, and designing drainage systems. It helps in understanding the water collection area and planning appropriate infrastructure.

4. Using the Calculator

Tips: Enter the peak rate of runoff in m³/s and the length of the drain in meters. Both values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a catchment area?
A: A catchment area is the geographical region from which water drains into a specific river, lake, or reservoir.

Q2: Why is the peak rate of runoff important?
A: The peak rate of runoff is the maximum discharge during a storm, which is critical for designing drainage systems and flood management.

Q3: How does the length of the drain affect the catchment area?
A: The length of the drain influences the catchment area calculation as it affects the flow characteristics and the area from which water is collected.

Q4: Are there limitations to the Dredge Formula?
A: The formula may have limitations in very large or complex catchment areas and should be used with caution in such cases.

Q5: Can this formula be used for all types of drains?
A: The formula is generally applicable but may require adjustments for drains with unusual characteristics or in specific hydrological conditions.