Aquifer Thickness When Interference Among Three Well Is Present Calculator

Formula Used:

\[ b_p = \frac{Q}{\frac{2 \pi K (b_w - h_w)}{\ln\left(\frac{R^3}{r' B^2}\right)}} \]

Discharge (Q):

m³/s

Coefficient of Permeability (K):

m/s

Aquifer Thickness (b_w):

Depth of Water (h_w):

Radius of Influence (R):

Radius of Well (r'):

Distance Between Well (B):

Aquifer Thickness During Pumping (b_p):

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1. What is Aquifer Thickness When Interference Among Three Well Is Present?

The Aquifer Thickness When Interference Among Three Well Is Present calculation determines the thickness of an aquifer during pumping operations when three wells are interacting with each other. This interference affects the drawdown characteristics and overall aquifer performance.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ b_p = \frac{Q}{\frac{2 \pi K (b_w - h_w)}{\ln\left(\frac{R^3}{r' B^2}\right)}} \]

Where:

\( b_p \) — Aquifer Thickness During Pumping (m)
\( Q \) — Discharge rate (m³/s)
\( K \) — Coefficient of Permeability (m/s)
\( b_w \) — Initial Aquifer Thickness (m)
\( h_w \) — Depth of Water (m)
\( R \) — Radius of Influence (m)
\( r' \) — Radius of Well (m)
\( B \) — Distance Between Wells (m)
\( \pi \) — Archimedes' constant (3.14159)
\( e \) — Napier's constant (2.71828)

Explanation: The formula accounts for the interference effects between three wells and calculates the effective aquifer thickness during pumping operations.

3. Importance of Aquifer Thickness Calculation

Details: Accurate calculation of aquifer thickness during pumping is crucial for groundwater resource management, well field design, and predicting the impacts of multiple well operations on aquifer performance.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for lengths, m³/s for discharge). Ensure all values are positive and physically reasonable for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is well interference?
A: Well interference occurs when multiple wells are pumping from the same aquifer, causing their individual drawdown cones to overlap and affect each other's performance.

Q2: How does distance between wells affect aquifer thickness?
A: Closer well spacing increases interference effects, which can significantly impact the calculated aquifer thickness during pumping operations.

Q3: What is the radius of influence?
A: The radius of influence is the distance from a pumping well to the point where drawdown becomes negligible, typically where the drawdown curve meets the original water table.

Q4: When is this calculation most applicable?
A: This calculation is particularly useful for designing well fields and assessing the impacts of multiple extraction points on aquifer resources.

Q5: What are the limitations of this formula?
A: The formula assumes homogeneous aquifer conditions and may not accurately represent complex geological settings or transient pumping conditions.