Depression Head In Well Given Pumping Stopped With Base 10 And Coarse Sand Is Present Calculator

Formula Used:

\[ Depression Head 1 = Depression Head 2 \times 10^{(\frac{1 \times Total Time Interval}{2.303})} \]

Depression Head 1:

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1. What is the Depression Head Calculation?

The Depression Head calculation determines the difference in water table levels in a well when pumping is stopped, specifically for scenarios with base 10 and coarse sand present. It helps in understanding groundwater behavior and well performance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Depression Head 1 = Depression Head 2 \times 10^{(\frac{1 \times Total Time Interval}{2.303})} \]

Where:

\( Depression Head 1 \) — Difference in water table level after pumping stopped (Meter)
\( Depression Head 2 \) — Initial difference in water table level (Meter)
\( Total Time Interval \) — Time duration for the change (Second)

Explanation: The formula calculates the change in depression head over time, accounting for the logarithmic recovery rate in coarse sand conditions.

3. Importance of Depression Head Calculation

Details: Accurate depression head estimation is crucial for assessing well efficiency, groundwater recharge rates, and designing effective pumping strategies in hydrogeological studies.

4. Using the Calculator

Tips: Enter Depression Head 2 in meters and Total Time Interval in seconds. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is base 10 used in this formula?
A: Base 10 logarithms are used for convenience in calculation and are standard in many hydrological equations for depression head recovery.

Q2: What does coarse sand presence indicate?
A: Coarse sand typically indicates higher permeability, which affects the rate of water table recovery after pumping stops.

Q3: When should this calculation be applied?
A: This calculation is specifically designed for wells in coarse sand aquifers where pumping has been stopped and recovery is being monitored.

Q4: Are there limitations to this equation?
A: The equation assumes homogeneous aquifer conditions and may be less accurate in complex geological settings or with varying sand compositions.

Q5: How does time interval affect the result?
A: Longer time intervals result in greater depression head values, reflecting the continued recovery of the water table over time.