Coefficient Of Permeability When Specific Or Intrinsic Permeability Is Considered Calculator

Formula Used:

\[ K = K_o \times \left( \frac{\gamma / 1000}{\mu} \right) \]

Intrinsic Permeability (K₀):

m²

Unit Weight of Fluid (γ):

N/m³

Dynamic Viscosity of the Fluid (μ):

Pa·s

Coefficient of Permeability at 20° C (K):

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1. What is the Coefficient of Permeability?

The Coefficient of Permeability at 20° C refers to the measure of a porous medium's ability to allow fluid flow through its voids. It quantifies how easily a fluid can move through a porous material under a hydraulic gradient.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K = K_o \times \left( \frac{\gamma / 1000}{\mu} \right) \]

Where:

\( K \) — Coefficient of Permeability at 20° C (m/s)
\( K_o \) — Intrinsic Permeability (m²)
\( \gamma \) — Unit Weight of Fluid (N/m³)
\( \mu \) — Dynamic Viscosity of the Fluid (Pa·s)

Explanation: This formula converts intrinsic permeability (a property of the porous medium alone) to coefficient of permeability (which depends on both the medium and the fluid properties).

3. Importance of Permeability Calculation

Details: Accurate permeability calculation is crucial for groundwater flow analysis, soil mechanics, petroleum engineering, and environmental studies involving fluid transport through porous media.

4. Using the Calculator

Tips: Enter intrinsic permeability in m², unit weight of fluid in N/m³, and dynamic viscosity in Pa·s. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between intrinsic permeability and coefficient of permeability?
A: Intrinsic permeability is a property of the porous medium alone, while coefficient of permeability depends on both the medium and the fluid properties.

Q2: Why is the calculation done at 20° C?
A: 20° C is a standard reference temperature for fluid properties, particularly for water, which is commonly used in permeability studies.

Q3: What are typical values for coefficient of permeability?
A: Values range from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay, depending on the porous material.

Q4: How does fluid viscosity affect permeability?
A: Higher viscosity fluids experience more resistance to flow, resulting in lower coefficient of permeability values.

Q5: Can this formula be used for gases?
A: While the basic relationship holds, gas permeability calculations often require additional corrections for compressibility and other gas-specific effects.