Radius of Influence When Interference Among Three Well Is Present Calculator

Radius of Influence Formula:

\[ r_i = \left( (r' \times B^2) \times \exp\left( \frac{2\pi K b_p (H_i - h_w)}{Q_0} \right) \right)^{1/3} \]

Radius of Well (r'):

Distance Between Well (B):

Coefficient of Permeability (K):

m/s

Aquifer Thickness During Pumping (bₚ):

Initial Aquifer Thickness (Hᵢ):

Depth of Water (h_w):

Discharge at Time t=0 (Q₀):

m³/s

Radius of Influence (rᵢ):

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1. What is Radius of Influence When Interference Among Three Well Is Present?

The Radius of Influence in environmental engineering is measured from the center of the well to the point where the drawdown curve meets the original water table. When interference among three wells is present, this calculation becomes crucial for understanding the combined effects on the aquifer system.

2. How Does the Calculator Work?

The calculator uses the Radius of Influence formula:

\[ r_i = \left( (r' \times B^2) \times \exp\left( \frac{2\pi K b_p (H_i - h_w)}{Q_0} \right) \right)^{1/3} \]

Where:

\( r_i \) — Radius of Influence (m)
\( r' \) — Radius of Well (m)
\( B \) — Distance Between Well (m)
\( K \) — Coefficient of Permeability (m/s)
\( b_p \) — Aquifer Thickness During Pumping (m)
\( H_i \) — Initial Aquifer Thickness (m)
\( h_w \) — Depth of Water (m)
\( Q_0 \) — Discharge at Time t=0 (m³/s)
\( \pi \) — Archimedes' constant (≈3.1416)
\( \exp \) — Exponential function

Explanation: The equation calculates the radius of influence considering the interference effects among three wells, accounting for various hydrogeological parameters.

3. Importance of Radius of Influence Calculation

Details: Accurate calculation of radius of influence is essential for well field design, groundwater management, and predicting the extent of drawdown cones in aquifer systems with multiple interfering wells.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of well interference?
A: Well interference occurs when drawdown cones from multiple wells overlap, affecting each well's performance and the overall aquifer response.

Q2: How does distance between wells affect radius of influence?
A: Closer well spacing typically results in greater interference and may reduce the effective radius of influence for individual wells.

Q3: What factors influence the coefficient of permeability?
A: Soil type, grain size distribution, porosity, and degree of saturation all affect the coefficient of permeability.

Q4: How does aquifer thickness affect the calculation?
A: Thicker aquifers generally have larger storage capacity and may exhibit different interference patterns compared to thinner aquifers.

Q5: When is this calculation most applicable?
A: This calculation is particularly important in well field design, groundwater remediation systems, and any scenario involving multiple extraction wells in close proximity.