Depth of Water in Well When Interference Among Well Is Present Calculator

Formula Used:

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

Initial Aquifer Thickness (H_i):

Discharge (Q):

m³/s

Radius of Influence (R):

Radius of Well (r'):

Distance Between Well (B):

Coefficient of Permeability (K):

m/s

Aquifer Thickness (b_w):

Depth of Water (h_w):

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1. What is Depth of Water in Well When Interference Among Well Is Present?

Depth of Water in Well When Interference Among Well Is Present refers to the water level measurement in a well when multiple wells are operating simultaneously and affecting each other's drawdown characteristics. This interference occurs due to overlapping cones of depression from adjacent wells.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( h_w \) — Depth of Water in the well (m)
\( H_i \) — Initial Aquifer Thickness (m)
\( Q \) — Discharge rate (m³/s)
\( R \) — Radius of Influence (m)
\( r' \) — Radius of Well (m)
\( B \) — Distance Between Wells (m)
\( K \) — Coefficient of Permeability (m/s)
\( b_w \) — Aquifer Thickness (m)
\( \pi \) — Archimedes' constant (3.141592653589793)
\( e \) — Napier's constant (2.718281828459045)

Explanation: This formula accounts for the interference effects between multiple wells by considering the distance between wells and their respective influence radii in the calculation of water depth.

3. Importance of Depth of Water Calculation

Details: Accurate calculation of water depth in wells with interference is crucial for proper well field design, determining optimal well spacing, managing groundwater resources efficiently, and preventing excessive drawdown that could affect well performance and water quality.

4. Using the Calculator

Tips: Enter all required parameters in appropriate units. Ensure all values are positive and physically meaningful. The calculator will compute the depth of water in the well considering interference effects from adjacent wells.

5. Frequently Asked Questions (FAQ)

Q1: What is well interference?
A: Well interference occurs when the cones of depression from multiple pumping wells overlap, causing greater drawdown than would occur from a single well operating alone.

Q2: How does distance between wells affect interference?
A: Closer well spacing increases interference effects, leading to greater drawdown. Proper spacing is essential to minimize interference and maintain efficient well operation.

Q3: What factors influence the radius of influence?
A: The radius of influence depends on aquifer properties, pumping rate, duration of pumping, and the hydraulic characteristics of the surrounding geological formation.

Q4: When is this calculation most important?
A: This calculation is particularly important in well field design, municipal water supply systems, agricultural irrigation systems, and industrial water extraction where multiple wells operate simultaneously.

Q5: What are the limitations of this formula?
A: The formula assumes homogeneous and isotropic aquifer conditions, steady-state flow, and may not account for complex geological features or transient pumping conditions.