Thickness Of Aquifer From Impermeable Layer When Interference Among Three Well Is Present Calculator

Formula Used:

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

Depth of Water (h_w):

Discharge (Q):

m³/s

Radius of Influence (R):

Radius of Well (r'):

Distance Between Well (B):

Coefficient of Permeability (K):

m/s

Aquifer Thickness During Pumping (b_p):

Aquifer Thickness (b_w):

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1. What is the Aquifer Thickness Formula?

The formula calculates the thickness of an aquifer from an impermeable layer when interference among three wells is present. It accounts for various hydrogeological parameters to determine the aquifer thickness accurately.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( b_w \) — Aquifer Thickness (m)
\( h_w \) — Depth of Water in the well (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)
\( b_p \) — Aquifer Thickness During Pumping (m)
\( \pi \) — Archimedes' constant (≈3.14159)
\( \ln \) — Natural logarithm function

Explanation: The formula accounts for the interference effects between three wells and calculates the aquifer thickness based on pumping test data and hydrogeological parameters.

3. Importance of Aquifer Thickness Calculation

Details: Accurate aquifer thickness calculation is crucial for groundwater resource assessment, well design, pumping test analysis, and understanding aquifer behavior during extraction.

4. Using the Calculator

Tips: Enter all parameters in appropriate units. Ensure all values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is aquifer thickness?
A: Aquifer thickness refers to the vertical extent of a water-bearing geological formation that can yield significant quantities of water to wells or springs.

Q2: Why is well interference important?
A: Well interference occurs when multiple wells extract water from the same aquifer, causing overlapping drawdown cones that affect each well's performance and the overall aquifer response.

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

Q4: How does permeability affect aquifer thickness calculation?
A: Higher permeability allows water to move more easily through the aquifer, affecting the drawdown pattern and consequently the calculated aquifer thickness.

Q5: When is this formula most applicable?
A: This formula is specifically designed for situations where three wells are interfering with each other in a confined or unconfined aquifer setting.