Depression Head In Well Given Pumping Stopped With Base 10 And Clay Soil Is Present Calculator

Formula Used:

\[ h1 = h2 \times 10^{\frac{0.25 \times \Delta t}{2.303}} \]

Depression Head 1:

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1. What is the Depression Head Formula?

The Depression Head formula calculates the difference in water table levels before and after pumping stops in wells with clay soil, using a base 10 logarithmic relationship that accounts for soil properties and time intervals.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h1 = h2 \times 10^{\frac{0.25 \times \Delta t}{2.303}} \]

Where:

\( h1 \) — Depression Head 1 (difference after pumping stops)
\( h2 \) — Depression Head 2 (difference before pumping stops)
\( \Delta t \) — Total time interval (seconds)
0.25 — Coefficient for clay soil
2.303 — Conversion factor from natural log to base 10

Explanation: The formula models how water levels recover over time in clay soil conditions after pumping ceases, using an exponential relationship.

3. Importance of Depression Head Calculation

Details: Accurate depression head calculation is essential for understanding aquifer recovery rates, designing well systems, and managing groundwater resources in clay soil environments.

4. Using the Calculator

Tips: Enter Depression Head 2 in meters and total time interval in seconds. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is the 0.25 coefficient used for clay soil?
A: The 0.25 coefficient represents the specific recovery characteristics of clay soil, which has different hydraulic properties compared to other soil types.

Q2: What is the significance of the 2.303 conversion factor?
A: 2.303 is used to convert from natural logarithm (base e) to base 10 logarithm (log10), as the formula uses base 10 exponential relationships.

Q3: When is this formula most applicable?
A: This formula is specifically designed for wells in clay soil conditions where pumping has been stopped and water level recovery is being measured.

Q4: What are typical values for depression heads?
A: Depression head values vary widely depending on well characteristics, pumping rates, and aquifer properties, typically ranging from centimeters to several meters.

Q5: How does clay soil affect water recovery rates?
A: Clay soil typically has lower permeability than sandy soils, resulting in slower water level recovery rates after pumping stops.