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Distance From Pumping Well Calculator

Distance From Pumping Well Formula:

\[ r_o = \sqrt{\frac{2.25 \times T \times t}{S}} \]

m²/s
hours

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1. What is the Distance From Pumping Well Formula?

The Distance From Pumping Well formula calculates the distance from a pumping well to the point where the drawdown is zero in an aquifer system. This is a fundamental calculation in hydrogeology and well-field design.

2. How Does the Calculator Work?

The calculator uses the distance formula:

\[ r_o = \sqrt{\frac{2.25 \times T \times t}{S}} \]

Where:

Explanation: The formula calculates the radial distance where the cone of depression intersects with the zero-drawdown boundary, based on aquifer properties and pumping duration.

3. Importance of Distance Calculation

Details: Calculating the distance from pumping wells is crucial for proper well-field design, preventing interference between wells, and ensuring sustainable groundwater extraction without causing excessive drawdown.

4. Using the Calculator

Tips: Enter transmissivity in m²/s, time in hours, and storage coefficient (dimensionless). All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is transmissivity in groundwater hydrology?
A: Transmissivity is the rate at which water is transmitted through a unit width of an aquifer under a unit hydraulic gradient, typically measured in m²/s.

Q2: What does the storage coefficient represent?
A: The storage coefficient represents the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

Q3: When is this formula typically used?
A: This formula is used in well-field design, pumping test analysis, and groundwater modeling to determine the extent of the cone of depression around pumping wells.

Q4: What are typical ranges for storage coefficient values?
A: Storage coefficient values typically range from 0.0001 to 0.001 for confined aquifers and 0.1 to 0.3 for unconfined aquifers.

Q5: How does pumping time affect the distance calculation?
A: The distance increases with the square root of pumping time, meaning longer pumping periods result in larger areas of influence around the well.

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