Thickness Of Aquifer Given Discharge Due To Spherical Flow In Well Calculator

Formula Used:

\[ \text{Thickness of Aquifer} = \text{Depth of Water} + \left( \frac{\text{Discharge by Spherical Flow}}{2 \times \pi \times \text{Coefficient of Permeability} \times \text{Radius of Well}} \right) \]

Depth of Water (hw):

Discharge by Spherical Flow (Qs):

m³/s

Coefficient of Permeability (K):

m/s

Radius of Well (r'):

Thickness of Aquifer (H):

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1. What is Thickness of Aquifer?

Thickness of Aquifer refers to the vertical distance from the permeable layer to the initial level of the water table. It is a critical parameter in hydrogeology that helps determine the storage capacity and flow characteristics of an aquifer system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H = h_w + \left( \frac{Q_s}{2 \pi K r'} \right) \]

Where:

\( H \) — Thickness of Aquifer (m)
\( h_w \) — Depth of Water in the well measured above the impermeable layer (m)
\( Q_s \) — Discharge by Spherical Flow (m³/s)
\( K \) — Coefficient of Permeability (m/s)
\( r' \) — Radius of Well (m)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula calculates the total thickness of the aquifer by adding the depth of water to the additional thickness calculated from spherical flow discharge, permeability, and well radius.

3. Importance of Aquifer Thickness Calculation

Details: Accurate determination of aquifer thickness is essential for groundwater resource assessment, well design, contaminant transport modeling, and sustainable water management practices.

4. Using the Calculator

Tips: Enter depth of water in meters, discharge in cubic meters per second, coefficient of permeability in meters per second, and radius of well in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is spherical flow in well hydraulics?
A: Spherical flow refers to the radial flow pattern that occurs around a well screen when groundwater converges from all directions toward the well intake.

Q2: How does permeability affect aquifer thickness calculation?
A: Higher permeability values result in smaller additional thickness components, as water can flow more easily through the aquifer material.

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, with sand typically around 10⁻⁵ to 10⁻³ m/s.

Q4: When is this formula most applicable?
A: This formula is particularly useful for confined aquifers or situations where spherical flow conditions dominate around the well intake.

Q5: How does well radius affect the calculation?
A: Larger well radii result in smaller additional thickness components, as the flow convergence occurs over a larger surface area.