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Equilibrium Discharge From S Curve Calculator

Equilibrium Discharge Formula:

\[ Q_s = \frac{A}{T_{er}} \times 10^4 \]

km²
seconds

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1. What is Equilibrium Discharge?

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. It represents the maximum sustainable extraction rate from a groundwater source.

2. How Does the Calculator Work?

The calculator uses the Equilibrium Discharge formula:

\[ Q_s = \frac{A}{T_{er}} \times 10^4 \]

Where:

Explanation: The formula calculates the steady discharge rate based on the catchment area and the time during which excess rainfall occurs, scaled by a factor of 10,000 for unit conversion.

3. Importance of Equilibrium Discharge Calculation

Details: Accurate equilibrium discharge calculation is crucial for sustainable water resource management, determining safe extraction rates from aquifers, and preventing over-exploitation of groundwater resources.

4. Using the Calculator

Tips: Enter the catchment area in square kilometers and excess rainfall time in seconds. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 10⁴ factor in the formula?
A: The 10⁴ factor is used for unit conversion, transforming the result from km²/s to the standard m³/s units for discharge measurements.

Q2: How is catchment area defined in this context?
A: Catchment area refers to the geographical area from which water flows into a particular point, such as a well, stream, or reservoir.

Q3: What constitutes excess rainfall time?
A: Excess rainfall time is the portion of rainfall that exceeds the capacity of the soil to retain it through infiltration, representing the duration of effective runoff.

Q4: What are typical values for equilibrium discharge?
A: Equilibrium discharge values vary widely depending on geological conditions, but typically range from fractions to tens of cubic meters per second for most aquifers.

Q5: Are there limitations to this calculation method?
A: This method provides an estimate and may need adjustment for specific geological conditions, aquifer characteristics, and local hydrological factors.

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