Distance Between Well When Interference Among Three Well Is Present Calculator

Distance Between Well Formula:

\[ B = \sqrt{\frac{r_i^3}{\exp\left(\frac{2\pi k b_p (H_i - h_w)}{Q}\right) \times r'}} \]

Radius of Influence (r_i):

Coefficient of Permeability (k):

m/s

Aquifer Thickness During Pumping (b_p):

Initial Aquifer Thickness (H_i):

Depth of Water (h_w):

Discharge (Q):

m³/s

Radius of Well (r'):

Distance Between Well (B):

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1. What is Distance Between Well Calculation?

The Distance Between Well calculation determines the optimal spacing between wells when interference among three wells is present. This is crucial in environmental engineering to ensure that wells don't negatively affect each other's performance during pumping operations.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ B = \sqrt{\frac{r_i^3}{\exp\left(\frac{2\pi k b_p (H_i - h_w)}{Q}\right) \times r'}} \]

Where:

\( B \) — Distance Between Well (m)
\( r_i \) — Radius of Influence (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)
\( Q \) — Discharge (m³/s)
\( r' \) — Radius of Well (m)
\( \pi \) — Archimedes' constant (3.14159)

Explanation: The formula calculates the optimal distance between wells to prevent interference, considering aquifer properties and pumping conditions.

3. Importance of Distance Calculation

Details: Proper well spacing is essential to prevent interference that can reduce well yield, affect water quality, and increase pumping costs. This calculation ensures efficient well field design.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure that Radius of Influence, Coefficient of Permeability, Aquifer Thickness, Initial Aquifer Thickness, Depth of Water, Discharge, and Radius of Well are positive values.

5. Frequently Asked Questions (FAQ)

Q1: What is well interference?
A: Well interference occurs when the cone of depression of one well overlaps with another, reducing the efficiency and yield of both wells.

Q2: Why is this calculation important for three wells?
A: With three wells, interference effects are more complex, and proper spacing becomes critical to maintain optimal performance of all wells.

Q3: What factors affect the optimal distance between wells?
A: Aquifer properties, pumping rate, well diameter, and the radius of influence are the main factors that determine optimal well spacing.

Q4: How does aquifer thickness affect the calculation?
A: Thicker aquifers generally allow for closer well spacing as they can sustain higher pumping rates with less interference.

Q5: When should this calculation be used?
A: This calculation should be used during the planning and design phase of well fields to ensure proper spacing and prevent interference issues.