Radius Of Influence Given Discharge In Unconfined Aquifer With Base 10 Calculator

Formula Used:

\[ Radius\ of\ Influence = Radius\ of\ well \times 10^{\frac{1.36 \times Coefficient\ of\ Permeability\ of\ Soil\ Particle \times (Initial\ Aquifer\ Thickness^2 - Depth\ of\ Water^2)}{Discharge}} \]

Radius of well (r):

Coefficient of Permeability of Soil Particle (Ksoil):

m/s

Initial Aquifer Thickness (Hi):

Depth of Water (hw):

Discharge (Q):

m³/s

Radius of Influence (Rw):

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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 area around a well that is affected by pumping.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Radius\ of\ Influence = Radius\ of\ well \times 10^{\frac{1.36 \times Coefficient\ of\ Permeability\ of\ Soil\ Particle \times (Initial\ Aquifer\ Thickness^2 - Depth\ of\ Water^2)}{Discharge}} \]

Where:

Radius of well - Distance from center of well to its outer boundary (m)
Coefficient of Permeability of Soil Particle - Describes how easily a liquid will move through the soil (m/s)
Initial Aquifer Thickness - Aquifer thickness at initial stage before pumping (m)
Depth of Water - Depth of water in the well measured above the impermeable layer (m)
Discharge - Rate of flow of a liquid (m³/s)

Explanation: This formula calculates the radius of influence for an unconfined aquifer using base 10 logarithm.

3. Importance of Radius of Influence Calculation

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

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all values are positive and valid. The calculator will compute the radius of influence based on the input parameters.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect the radius of influence?
A: The radius of influence is affected by soil permeability, aquifer thickness, water depth, discharge rate, and well radius.

Q2: How accurate is this calculation?
A: The calculation provides a theoretical estimate. Actual field conditions may vary due to aquifer heterogeneity and other factors.

Q3: Can this formula be used for confined aquifers?
A: No, this specific formula is designed for unconfined aquifers. Different equations are used for confined aquifers.

Q4: What are typical values for radius of influence?
A: Radius of influence can range from a few meters to several hundred meters depending on aquifer properties and pumping conditions.

Q5: How does discharge rate affect radius of influence?
A: Higher discharge rates typically result in larger radii of influence, as more water is being extracted from the aquifer.