1. What is Depth of Water Calculation?

The depth of water calculation determines the water level in a partially penetrating well above the impermeable layer, considering various hydrogeological parameters and the well's discharge characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( hw \) — Depth of Water in the well (m)
• \( Hi \) — Initial Aquifer Thickness (m)
• \( Qv \) — Discharge for Partially Penetrating Well (m³/s)
• \( R \) — Radius of Influence (m)
• \( r' \) — Radius of Well (m)
• \( k \) — Coefficient of Permeability (m/s)
• \( bp \) — Aquifer Thickness During Pumping (m)
• \( G \) — Correction Factor
• \( \pi \) — Mathematical constant pi (≈3.1416)
• \( \ln \) — Natural logarithm function

Explanation: This formula calculates the water depth by subtracting the drawdown effect from the initial aquifer thickness, considering the well's discharge, aquifer properties, and geometric factors.

3. Importance of Depth of Water Calculation

Details: Accurate depth of water calculation is crucial for well design, pumping system optimization, groundwater resource management, and assessing the sustainability of water extraction from aquifers.

4. Using the Calculator

Tips: Enter all parameters in appropriate units. Ensure values are positive and physically meaningful. The radius of influence should be greater than the well radius for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is a partially penetrating well?
A: A partially penetrating well is one that doesn't extend through the full thickness of the aquifer, which affects flow patterns and requires correction factors.

Q2: How is the correction factor determined?
A: The correction factor accounts for partial penetration effects and depends on the well's penetration ratio and aquifer characteristics, typically determined through empirical relationships or field tests.

Q3: What is the radius of influence?
A: The radius of influence is the distance from the well center to where the drawdown becomes negligible, typically determined through pumping tests or estimated based on aquifer properties.

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 accurately.

Q5: What are typical values for coefficient of permeability?
A: Permeability coefficients vary widely: gravel (10⁻¹-10⁻² m/s), sand (10⁻³-10⁻⁵ m/s), silt (10⁻⁶-10⁻⁸ m/s), clay (10⁻⁹-10⁻¹² m/s).