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S Curve At Any Time Calculator

S-Curve Formula:

\[ S_t = U_t + S_{t-D} \]

Hour
Hour

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1. What is the S-Curve at Time 't'?

The S-Curve at Time 't' represents the cumulative drawdown or recovery of groundwater levels over a period, typically due to pumping from wells or injection activities. It is a fundamental concept in hydrogeology and groundwater analysis.

2. How Does the Calculator Work?

The calculator uses the S-Curve formula:

\[ S_t = U_t + S_{t-D} \]

Where:

Explanation: The equation calculates the cumulative S-curve value by adding the current unit hydrograph ordinate to the previous S-curve addition value.

3. Importance of S-Curve Calculation

Details: Accurate S-curve calculation is crucial for groundwater analysis, well performance evaluation, and understanding aquifer response to pumping or injection activities over time.

4. Using the Calculator

Tips: Enter the ordinates of unit hydrograph and S-curve addition values in hours. Both values must be non-negative numbers representing time measurements.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of S-curve in hydrogeology?
A: S-curves help analyze groundwater level changes over time, evaluate well performance, and understand aquifer characteristics during pumping or injection tests.

Q2: How are unit hydrograph ordinates determined?
A: Unit hydrograph ordinates are typically derived from runoff discharge measurements after a unit input of effective rainfall during storm events.

Q3: What time units should be used for calculations?
A: The calculator uses hours as the standard unit, but consistent time units must be maintained throughout the analysis.

Q4: Are there limitations to this equation?
A: The equation assumes linear superposition and may have limitations in complex hydrogeological settings or when dealing with non-uniform aquifer conditions.

Q5: Can this calculator be used for both pumping and injection scenarios?
A: Yes, the S-curve concept applies to both groundwater extraction (pumping) and recharge (injection) scenarios, though the interpretation may differ.

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