Depression Head In Well Given Pumping Stopped And Constant Calculator

Formula Used:

\[ Depression Head 1 = Depression Head 2 \times \exp\left(\frac{Constant \times Time}{Cross Sectional Area}\right) \]

Depression Head 2:

Meter

Constant:

Time:

Hour

Cross Sectional Area:

Square Meter

Depression Head 1:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Depression Head Formula?

The Depression Head formula calculates the difference in water table levels in a well when pumping is stopped, considering soil constant and cross-sectional area. It helps determine groundwater flow characteristics and well performance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Depression Head 1 = Depression Head 2 \times \exp\left(\frac{Constant \times Time}{Cross Sectional Area}\right) \]

Where:

\( Depression Head 1 \) — Final depression head (Meter)
\( Depression Head 2 \) — Initial depression head (Meter)
\( Constant \) — Soil constant at the base of the well
\( Time \) — Time duration (Hour)
\( Cross Sectional Area \) — Cross-sectional area of the well (Square Meter)

Explanation: The formula models the exponential relationship between depression heads over time, accounting for soil properties and well geometry.

3. Importance of Depression Head Calculation

Details: Accurate depression head calculation is essential for well design, groundwater resource assessment, and predicting well recovery rates after pumping stops.

4. Using the Calculator

Tips: Enter all values with appropriate units. Depression heads and cross-sectional area must be positive values. Time should be in hours.

5. Frequently Asked Questions (FAQ)

Q1: What is depression head in well hydraulics?
A: Depression head is the difference between the static water table level and the water level in the well during or after pumping.

Q2: How is the soil constant determined?
A: The soil constant depends on soil permeability and is typically determined through pumping tests or soil analysis.

Q3: Why does the formula use exponential function?
A: The exponential function models the gradual recovery of water level in the well after pumping stops, following natural groundwater flow patterns.

Q4: What factors affect cross-sectional area?
A: Cross-sectional area depends on well diameter and shape. For circular wells, it's calculated as πr² where r is the radius.

Q5: When is this formula most applicable?
A: This formula is most accurate for confined aquifers and wells with consistent soil properties around the well base.