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

Formula Used:

\[ KWH = \frac{Q}{\frac{2.72 \times bp \times (bw - hw)}{\log\left(\frac{Rw}{r}, 10\right)}} \]

Discharge (Q):

m³/s

Aquifer Thickness During Pumping (bp):

Aquifer Thickness (bw):

Depth of Water (hw):

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:

\[ KWH = \frac{Q}{\frac{2.72 \times bp \times (bw - hw)}{\log\left(\frac{Rw}{r}, 10\right)}} \]

Where:

\( KWH \) — Coefficient of Permeability in Well Hydraulics (m/s)
\( Q \) — Discharge rate (m³/s)
\( bp \) — Aquifer Thickness During Pumping (m)
\( bw \) — Aquifer Thickness (m)
\( hw \) — Depth of Water (m)
\( Rw \) — Radius of Influence (m)
\( r \) — Radius of well (m)

Explanation: This formula calculates the coefficient of permeability based on well pumping test data and aquifer characteristics.

3. Importance of Coefficient of Permeability Calculation

Details: Accurate determination of permeability coefficient is essential for groundwater resource assessment, well design, contaminant transport studies, and designing effective dewatering systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters and m³/s). Ensure that Radius of Influence is greater than Radius of well, and Aquifer Thickness is greater than Depth of Water for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of permeability coefficients?
A: Permeability coefficients vary widely from 10⁻¹² m/s for clay to 10⁻¹ m/s for gravel, depending on soil type.

Q2: Why use base 10 logarithm in this formula?
A: The formula is derived using common logarithms (base 10) which is standard practice in many well hydraulics equations.

Q3: What factors affect the coefficient of permeability?
A: Soil grain size, porosity, fluid viscosity, temperature, and degree of saturation all influence permeability.

Q4: When is this formula applicable?
A: This formula is specifically for confined aquifers with steady-state flow conditions during pumping tests.

Q5: What are the limitations of this calculation?
A: The formula assumes homogeneous, isotropic aquifer conditions and may not be accurate for complex geological settings or unsteady flow conditions.