Catchment Area Given Peak Rate Of Runoff From Inglis Formula Calculator

Inglis Formula:

\[ A_{km} = \left( \frac{Q_I}{123} \right)^2 \]

Catchment Area in KM (A_km):

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1. What is the Inglis Formula?

The Inglis Formula is used to calculate the catchment area in square kilometers based on the peak rate of runoff. It is specifically applicable for fan-shaped catchments of Old Bombay in India and provides a relationship between peak runoff rate and catchment area.

2. How Does the Calculator Work?

The calculator uses the Inglis Formula:

\[ A_{km} = \left( \frac{Q_I}{123} \right)^2 \]

Where:

\( A_{km} \) — Catchment Area in square kilometers (km²)
\( Q_I \) — Peak Rate of Runoff for Inglish in cubic meters per second (m³/s)

Explanation: The formula establishes a quadratic relationship between the peak runoff rate and the catchment area, with the constant 123 derived from empirical data for the specific region.

3. Importance of Catchment Area Calculation

Details: Accurate calculation of catchment area is crucial for hydrological studies, flood forecasting, water resource management, and infrastructure planning in drainage basins.

4. Using the Calculator

Tips: Enter the peak rate of runoff in cubic meters per second. The value must be greater than zero to obtain a valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What types of catchments is this formula applicable to?
A: The Inglis Formula is specifically designed for fan-shaped catchments of Old Bombay in India.

Q2: Why is the constant 123 used in the formula?
A: The constant 123 is derived from empirical data and regional hydrological characteristics specific to the Old Bombay area.

Q3: Can this formula be used for other geographical regions?
A: While primarily designed for Old Bombay catchments, the formula may be adapted for similar fan-shaped catchments with appropriate regional calibration.

Q4: What are the limitations of this formula?
A: The formula may not be accurate for non-fan-shaped catchments or regions with significantly different hydrological characteristics.

Q5: How precise is this calculation method?
A: The precision depends on the accuracy of the input peak runoff rate and the applicability of the formula to the specific catchment characteristics.