Coefficient Of Permeability Given Discharge In Unconfined Aquifer With Base 10 Calculator

Formula Used:

\[ KWH = \frac{Q}{\frac{1.36 \times (bw^2 - hwell^2)}{\log\left(\frac{Rw}{r}, 10\right)}} \]

Discharge (Q):

m³/s

Aquifer Thickness (bw):

Depth of Water in Well (hwell):

Radius of Influence (Rw):

Radius of Well (r):

Coefficient of Permeability (KWH):

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1. What is Coefficient of Permeability in Well Hydraulics?

The Coefficient of Permeability in Well Hydraulics describes how easily a liquid will move through the soil. It is a crucial parameter in groundwater studies and well design, indicating the soil's ability to transmit water.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ KWH = \frac{Q}{\frac{1.36 \times (bw^2 - hwell^2)}{\log\left(\frac{Rw}{r}, 10\right)}} \]

Where:

\( KWH \) — Coefficient of Permeability (m/s)
\( Q \) — Discharge rate (m³/s)
\( bw \) — Aquifer Thickness (m)
\( hwell \) — Depth of Water in Well (m)
\( Rw \) — Radius of Influence (m)
\( r \) — Radius of Well (m)

Explanation: This formula calculates the permeability coefficient based on well discharge and geometric parameters in unconfined aquifers using base-10 logarithm.

3. Importance of Permeability Calculation

Details: Accurate permeability estimation is essential for groundwater resource assessment, well design, contaminant transport studies, and predicting water yield from aquifers.

4. Using the Calculator

Tips: Enter all values in consistent units (meters and m³/s). Ensure radius of influence is greater than radius of well. All input values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of permeability values?
A: Permeability values range from 10⁻¹² m/s for clay to 10⁻¹ m/s for gravel, with most soils falling between 10⁻⁹ to 10⁻⁴ m/s.

Q2: Why use base-10 logarithm in this formula?
A: Base-10 logarithm is commonly used in hydraulic calculations and provides results that are easier to interpret in practical applications.

Q3: What factors affect soil permeability?
A: Grain size distribution, porosity, soil structure, degree of saturation, and fluid properties all influence permeability.

Q4: When is this formula applicable?
A: This formula is specifically designed for unconfined aquifers with steady-state flow conditions and assumes homogeneous, isotropic soil properties.

Q5: How accurate is this calculation method?
A: While providing good estimates for many practical applications, field conditions may vary, and laboratory testing may be needed for precise measurements.