Coefficient Of Permeability Given Discharge From Two Wells With Base 10 Calculator

Formula Used:

\[ KWH = \frac{Q}{\frac{1.36 \times (h2^2 - h1^2)}{\log_{10}\left(\frac{r2}{r1'}\right)}} \]

Discharge (Q):

m³/s

Depth of Water 2 (h2):

Depth of Water 1 (h1):

Radial Distance at Observation Well 2 (r2):

Radial Distance at Well 1 (r1'):

Coefficient of Permeability (KWH):

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1. What is the Coefficient of Permeability?

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:

\[ KWH = \frac{Q}{\frac{1.36 \times (h2^2 - h1^2)}{\log_{10}\left(\frac{r2}{r1'}\right)}} \]

Where:

\( KWH \) — Coefficient of Permeability (m/s)
\( Q \) — Discharge rate (m³/s)
\( h2 \) — Depth of water in second well (m)
\( h1 \) — Depth of water in first well (m)
\( r2 \) — Radial distance at observation well 2 (m)
\( r1' \) — Radial distance at well 1 (m)

Explanation: This formula calculates the permeability coefficient based on the difference in water depths between two wells and their radial distances, using logarithmic scaling.

3. Importance of Permeability Calculation

Details: Accurate permeability calculation is essential for designing efficient well systems, predicting groundwater flow, and managing water resources effectively.

4. Using the Calculator

Tips: Enter all values in appropriate units (discharge in m³/s, depths and distances in meters). Ensure all values are positive and radial distances are not equal to avoid division by zero.

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 logarithmic scaling in the formula?
A: Logarithmic scaling accounts for the non-linear relationship between radial distance and hydraulic head in confined aquifers.

Q3: When is this formula most applicable?
A: This formula is particularly useful for steady-state flow conditions in confined aquifers with two observation wells.

Q4: What are the limitations of this calculation?
A: The formula assumes homogeneous, isotropic aquifer conditions and may not be accurate for complex geological settings.

Q5: How does temperature affect permeability?
A: While the formula doesn't directly account for temperature, permeability generally increases with temperature due to reduced water viscosity.