Thickness Of Aquifer Given Discharge For Partially Penetrating Well Calculator

Formula Used:

\[ H_i = h_w + \frac{Q_v \cdot \ln\left(\frac{R}{r'}\right)}{2\pi K b_p G} \]

Depth of Water (h_w):

Discharge for Partially Penetrating Well (Q_v):

m³/s

Radius of Influence (R):

Radius of Well (r'):

Coefficient of Permeability (K):

m/s

Aquifer Thickness During Pumping (b_p):

Correction Factor (G):

Initial Aquifer Thickness (H_i):

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1. What is the Initial Aquifer Thickness Calculation?

The calculation determines the initial thickness of an aquifer before pumping begins, using parameters from a partially penetrating well. This is essential for understanding aquifer characteristics and groundwater flow dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_i = h_w + \frac{Q_v \cdot \ln\left(\frac{R}{r'}\right)}{2\pi K b_p G} \]

Where:

\( H_i \) — Initial aquifer thickness (m)
\( h_w \) — Depth of water above impermeable layer (m)
\( Q_v \) — Discharge for partially penetrating well (m³/s)
\( R \) — Radius of influence (m)
\( r' \) — Radius of well (m)
\( K \) — Coefficient of permeability (m/s)
\( b_p \) — Aquifer thickness during pumping (m)
\( G \) — Correction factor for partial penetration

Explanation: The formula accounts for the geometric and hydraulic properties of the aquifer system to estimate the original thickness before pumping effects.

3. Importance of Initial Aquifer Thickness

Details: Knowing the initial aquifer thickness is crucial for groundwater resource assessment, well design, and predicting the long-term sustainability of water extraction.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all input values are positive and physically reasonable for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the correction factor (G) for?
A: The correction factor accounts for the effects of partial well penetration on drawdown and flow patterns in the aquifer.

Q2: How is radius of influence determined?
A: Radius of influence is typically determined through field tests or estimated based on aquifer properties and pumping rates.

Q3: What are typical values for coefficient of permeability?
A: Permeability values range from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay, depending on the aquifer material.

Q4: When is this calculation most applicable?
A: This calculation is particularly useful for confined aquifers with partially penetrating wells where traditional full-penetration formulas don't apply.

Q5: What are the limitations of this approach?
A: The calculation assumes homogeneous aquifer properties and may not account for complex geological conditions or transient effects.