Radius Of Well Given Aquifer Loss Coefficient Calculator

Formula Used:

\[ Radius\ of\ Well = \frac{Radius\ of\ Influence}{\exp(Aquifer\ Loss\ Coefficient \times 2 \times \pi \times Coefficient\ of\ Permeability \times Aquifer\ Thickness)} \]

Radius of Influence:

Meter

Aquifer Loss Coefficient:

Coefficient of Permeability:

Meter per Second

Aquifer Thickness:

Meter

Radius of Well:

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1. What is the Radius of Well Formula?

The formula calculates the radius of a well in environmental engineering based on the radius of influence, aquifer loss coefficient, coefficient of permeability, and aquifer thickness. It's essential for designing and analyzing groundwater extraction systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Radius\ of\ Well = \frac{Radius\ of\ Influence}{\exp(Aquifer\ Loss\ Coefficient \times 2 \times \pi \times Coefficient\ of\ Permeability \times Aquifer\ Thickness)} \]

Where:

\( Radius\ of\ Influence \) — Distance from center of well to where drawdown curve meets original water table (Meter)
\( Aquifer\ Loss\ Coefficient \) — Constant for a given flow rate
\( Coefficient\ of\ Permeability \) — How easily liquid moves through soil (Meter per Second)
\( Aquifer\ Thickness \) — Thickness of aquifer at midpoint between equipotential lines (Meter)
\( \pi \) — Archimedes' constant (approximately 3.14159)
\( \exp \) — Exponential function

Explanation: The formula accounts for the exponential relationship between well radius and various aquifer properties, providing accurate well dimension calculations.

3. Importance of Radius Calculation

Details: Accurate well radius calculation is crucial for proper well design, determining pumping rates, assessing groundwater resources, and environmental impact studies.

4. Using the Calculator

Tips: Enter all values in appropriate units. Radius of Influence, Coefficient of Permeability, and Aquifer Thickness must be in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the exponential function in this formula?
A: The exponential function accounts for the non-linear relationship between aquifer properties and well radius, reflecting how permeability and thickness affect water flow.

Q2: How does aquifer thickness affect the well radius?
A: Greater aquifer thickness generally allows for smaller well radii to achieve the same extraction rate, as there's more water-bearing material available.

Q3: What is a typical range for Coefficient of Permeability?
A: Permeability coefficients vary widely from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay, depending on soil type and composition.

Q4: When is this formula most applicable?
A: This formula is particularly useful for confined aquifers and steady-state flow conditions in environmental engineering applications.

Q5: How does the Aquifer Loss Coefficient impact the calculation?
A: Higher loss coefficients result in smaller calculated well radii, indicating greater resistance to flow within the aquifer system.