Radius Of Influence Given Discharge And Length Of Strainer Calculator

Radius of Influence Formula:

\[ Radius\ of\ Influence = Radius\ of\ well \times 10^{\frac{2.72 \times Coefficient\ of\ Permeability \times Total\ Drawdown \times (Length\ of\ strainer + \frac{Total\ Drawdown}{2})}{Discharge}} \]

Radius of well:

Coefficient of Permeability in Well Hydraulics:

m/s

Total Drawdown in Well:

Length of strainer:

Discharge:

m³/s

Radius of Influence:

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1. What is Radius of Influence?

Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table. It's a critical parameter in well hydraulics that determines the area affected by pumping from a well.

2. How Does the Calculator Work?

The calculator uses the Radius of Influence formula:

\[ Radius\ of\ Influence = Radius\ of\ well \times 10^{\frac{2.72 \times Coefficient\ of\ Permeability \times Total\ Drawdown \times (Length\ of\ strainer + \frac{Total\ Drawdown}{2})}{Discharge}} \]

Where:

Radius of well - Distance from center of well to its outer boundary (m)
Coefficient of Permeability - How easily liquid moves through the soil (m/s)
Total Drawdown - Reduction in hydraulic head observed at a well (m)
Length of strainer - Measured from bottom of aquifer to top of it (m)
Discharge - Rate of flow of liquid (m³/s)

Explanation: The formula calculates the extent of the cone of depression created by pumping from a well, considering various hydraulic properties of the aquifer and well characteristics.

3. Importance of Radius of Influence Calculation

Details: Accurate calculation of 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 for accurate calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: How does permeability affect radius of influence?
A: Higher permeability generally results in a larger radius of influence as water can move more easily through the aquifer.

Q3: What is the significance of the strainer length?
A: The strainer length affects how water enters the well and influences the drawdown distribution around the well.

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

Q5: When should this calculation be used?
A: This calculation is useful for preliminary well design, feasibility studies, and understanding the potential impact of pumping on groundwater resources.