Radius of Well given Drawdown at Well with Base 10 Calculator

Formula Used:

\[ Radius\ of\ Well = \frac{Radius\ of\ Influence}{10^{\left(\frac{2.72 \times Coefficient\ of\ Transmissibility \times Total\ Drawdown\ in\ Well}{Discharge}\right)}} \]

Radius of Influence:

Coefficient of Transmissibility:

m²/s

Total Drawdown in Well:

Discharge:

m³/s

Radius of Well:

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1. What is Radius of Well in Well Hydraulics?

Radius of Well in Well Hydraulics is defined as the distance from center of well to its outer boundary. It is a crucial parameter in determining the well's performance and the drawdown characteristics in the surrounding aquifer.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ Radius\ of\ Well = \frac{Radius\ of\ Influence}{10^{\left(\frac{2.72 \times Coefficient\ of\ Transmissibility \times Total\ Drawdown\ in\ Well}{Discharge}\right)}} \]

Where:

Radius of Influence - Distance from center of well to where drawdown curve meets original water table (m)
Coefficient of Transmissibility - Rate of flow of water through aquifer (m²/s)
Total Drawdown in Well - Reduction in hydraulic head observed at well (m)
Discharge - Rate of flow of liquid from the well (m³/s)

Explanation: This formula calculates the radius of a well based on the relationship between drawdown, transmissibility, and discharge rates in aquifer systems.

3. Importance of Radius of Well Calculation

Details: Accurate determination of well radius is essential for well design, pump selection, and predicting the well's long-term performance and sustainability in groundwater extraction systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for distances, m²/s for transmissibility, m³/s for discharge). Ensure all values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: Why is the radius of well important in hydraulics?
A: The radius affects the well's efficiency, drawdown characteristics, and the overall yield of the groundwater extraction system.

Q2: How does coefficient of transmissibility affect the calculation?
A: Higher transmissibility coefficients generally result in smaller calculated well radii for the same drawdown and discharge conditions.

Q3: What is the typical range for well radii?
A: Well radii typically range from a few centimeters for monitoring wells to several meters for large production wells.

Q4: How accurate is this calculation method?
A: This method provides a good estimate but actual field conditions may vary due to aquifer heterogeneity and other factors.

Q5: Can this formula be used for all types of aquifers?
A: This formula is primarily designed for confined aquifers with specific boundary conditions and may need modifications for other aquifer types.