Coefficient Of Permeability Given Discharge Calculator

Formula Used:

\[ k = \frac{Q}{\frac{H^2 - H_o^2}{2L}} \]

Discharge (Q):

m³/s

Height of Saturated Zone (H):

Depth of Water in Infiltration Gallery (Ho):

Distance Between IG and Source (L):

Coefficient of Permeability (k):

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1. What is Coefficient of Permeability?

The Coefficient of Permeability of soil describes how easily a liquid will move through the soil. It is a key parameter in hydrogeology and civil engineering for analyzing groundwater flow and designing drainage systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k = \frac{Q}{\frac{H^2 - H_o^2}{2L}} \]

Where:

\( k \) — Coefficient of Permeability (m/s)
\( Q \) — Discharge rate (m³/s)
\( H \) — Height of saturated zone (m)
\( H_o \) — Depth of water in infiltration gallery (m)
\( L \) — Distance between infiltration gallery and source (m)

Explanation: This formula calculates the soil's permeability based on the discharge rate and hydraulic gradient between the source and infiltration gallery.

3. Importance of Permeability Calculation

Details: Accurate permeability estimation is crucial for designing effective drainage systems, predicting groundwater movement, and assessing contaminant transport in soil.

4. Using the Calculator

Tips: Enter all values in appropriate units (discharge in m³/s, heights and distance in meters). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of permeability coefficients?
A: Permeability coefficients vary widely from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay, depending on soil type.

Q2: How does soil composition affect permeability?
A: Coarse-grained soils (sand, gravel) have higher permeability than fine-grained soils (silt, clay) due to larger pore spaces.

Q3: When is this calculation method most appropriate?
A: This method is particularly useful for analyzing flow towards infiltration galleries and wells in unconfined aquifers.

Q4: What are the limitations of this approach?
A: The calculation assumes homogeneous soil conditions and may not accurately represent complex geological formations with varying permeability.

Q5: How does temperature affect permeability measurements?
A: While the coefficient itself is a property of the soil, fluid viscosity changes with temperature can affect flow rates in field measurements.