Radius Of Influence Given Confined Aquifer Discharge With Base 10 Calculator

Formula Used:

\[ Radius Of Influence = Radius Of Well \times 10^{\frac{2.72 \times Coefficient Of Permeability \times Aquifer Thickness \times Total Drawdown}{Discharge}} \]

Radius of Well:

Coefficient of Permeability:

m/s

Aquifer Thickness During Pumping:

Total Drawdown in Well:

Discharge of Liquid:

m³/s

Radius of Influence:

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1. What is Radius of Influence?

Radius of Influence is measured from the center of the well to the point where drawdown curve meets the original water table. It represents the extent of the cone of depression created by pumping from a well.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Radius Of Influence = Radius Of Well \times 10^{\frac{2.72 \times Coefficient Of Permeability \times Aquifer Thickness \times Total Drawdown}{Discharge}} \]

Where:

Radius of Well - Distance from center of well to its outer boundary (m)
Coefficient of Permeability - Describes how easily liquid moves through soil (m/s)
Aquifer Thickness During Pumping - Thickness of aquifer during pumping stage (m)
Total Drawdown in Well - Reduction in hydraulic head observed at a well (m)
Discharge of Liquid - Rate of flow of liquid (m³/s)

3. Importance of Radius of Influence Calculation

Details: Calculating the radius of influence is crucial for well field design, determining well spacing, assessing interference between wells, and managing groundwater resources effectively.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for length, m/s for permeability, m³/s for discharge). All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect the radius of influence?
A: The radius of influence depends on aquifer properties (permeability, thickness), pumping rate, duration of pumping, and well characteristics.

Q2: How does pumping rate affect radius of influence?
A: Higher pumping rates generally result in larger radii of influence, as more water is being extracted from the aquifer.

Q3: What is the significance of the coefficient 2.72 in the formula?
A: The coefficient 2.72 is derived from empirical relationships and theoretical considerations in well hydraulics for confined aquifers.

Q4: Can this formula be used for unconfined aquifers?
A: This specific formula is designed for confined aquifers. Different equations are used for unconfined aquifers due to different flow characteristics.

Q5: How accurate is this calculation method?
A: The formula provides a good estimate for preliminary calculations, but field measurements and more sophisticated modeling may be needed for precise determinations.