Distance Between Well When Interference Among Well Is Present Calculator

Distance Between Well Formula:

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

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 the Distance Between Well Formula?

The Distance Between Well formula calculates the optimal spacing between wells when interference among wells is present. This is crucial in environmental engineering to ensure proper well placement and efficient groundwater extraction without significant interference effects.

2. How Does the Calculator Work?

The calculator uses the Distance Between Well formula:

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

Where:

\( r_i \) — 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)

Explanation: The formula accounts for the interference effects between wells by considering the exponential relationship between various aquifer properties and well characteristics.

3. Importance of Distance Calculation

Details: Proper well spacing is crucial for efficient groundwater extraction, preventing interference between wells, optimizing pumping efficiency, and ensuring sustainable aquifer management.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all values are positive and valid. The calculator will compute the optimal distance between wells to minimize interference effects.

5. Frequently Asked Questions (FAQ)

Q1: What is well interference?
A: Well interference occurs when the drawdown cones of multiple pumping wells overlap, reducing the efficiency of each well and affecting the overall yield.

Q2: Why is proper well spacing important?
A: Proper spacing ensures maximum yield from each well, prevents interference effects, and maintains sustainable groundwater extraction rates.

Q3: What factors affect the optimal distance between wells?
A: Aquifer properties, pumping rates, well characteristics, and the radius of influence all affect the optimal spacing between wells.

Q4: How does aquifer thickness affect well spacing?
A: Thicker aquifers generally allow for closer well spacing as they can accommodate more wells without significant interference.

Q5: Can this formula be used for all aquifer types?
A: This formula is primarily designed for confined aquifers. Different formulas may be needed for unconfined aquifers or complex geological conditions.