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Area Of Catchment Given Maximum Rate Of Discharge From S-Curve Calculator

Formula Used:

\[ A = \frac{Q_s \times D_r}{2.778} \]

m³/s
seconds

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1. What is the Area of Catchment Formula?

The formula calculates the area of catchment based on equilibrium discharge and duration of excess rainfall. It provides a mathematical relationship between these hydrological parameters to determine the geographical area that contributes water flow to a particular point.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{Q_s \times D_r}{2.778} \]

Where:

Explanation: The formula establishes the proportional relationship between catchment area, steady discharge rate, and rainfall duration, with 2.778 as the conversion factor.

3. Importance of Area Calculation

Details: Accurate catchment area calculation is crucial for hydrological studies, flood prediction, water resource management, and designing drainage systems and water storage facilities.

4. Using the Calculator

Tips: Enter equilibrium discharge in m³/s and duration of excess rainfall in seconds. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is equilibrium discharge?
A: Equilibrium discharge is the steady flow rate that a well can sustain from an aquifer over an extended period without causing significant drawdown or depletion of the aquifer.

Q2: How is duration of excess rainfall measured?
A: Duration of excess rainfall is the time during which continuous rain is observed, or occurs, at a given point or within a given area, typically measured in seconds.

Q3: What units should be used for input values?
A: Equilibrium discharge should be in cubic meters per second (m³/s) and duration of excess rainfall should be in seconds for consistent results.

Q4: What are typical values for catchment areas?
A: Catchment areas can vary significantly from small urban watersheds of a few square meters to large river basins covering thousands of square kilometers.

Q5: Are there limitations to this formula?
A: This formula provides an estimation and may need adjustment based on specific hydrological conditions, soil types, and topography of the catchment area.

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