Specific Or Intrinsic Permeability When Coefficient Of Permeability Is Considered Calculator

Formula Used:

\[ K_o = \frac{K \times \mu}{\gamma / 1000} \]

Coefficient of Permeability at 20° C:

m/s

Dynamic Viscosity of the Fluid:

Pa·s

Unit Weight of Fluid:

N/m³

Intrinsic Permeability (Kₒ):

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1. What is Intrinsic Permeability?

The Intrinsic Permeability or specific permeability is referred as measure of relative ease with which porous medium can transmit fluid under potential gradient and is property of medium alone.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K_o = \frac{K \times \mu}{\gamma / 1000} \]

Where:

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

Explanation: This formula calculates the intrinsic permeability by accounting for the fluid properties (viscosity and unit weight) and the coefficient of permeability of the porous medium.

3. Importance of Intrinsic Permeability Calculation

Details: Intrinsic permeability is a fundamental property of porous materials that determines their ability to transmit fluids, which is crucial in fields like hydrogeology, petroleum engineering, and soil mechanics.

4. Using the Calculator

Tips: Enter the coefficient of permeability in m/s, dynamic viscosity in Pa·s, and unit weight in N/m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: What are typical units for intrinsic permeability?
A: Intrinsic permeability is typically measured in square meters (m²) or darcy (1 darcy ≈ 9.87×10⁻¹³ m²).

Q3: Why is temperature specified in the coefficient of permeability?
A: Fluid properties like viscosity change with temperature, which affects the coefficient of permeability. The 20°C reference provides a standardized condition.

Q4: What factors affect intrinsic permeability?
A: Intrinsic permeability depends on the pore size distribution, porosity, tortuosity, and connectivity of the porous medium.

Q5: How does intrinsic permeability relate to hydraulic conductivity?
A: Hydraulic conductivity (coefficient of permeability) can be derived from intrinsic permeability using the formula: K = (Kₒ·ρ·g)/μ, where ρ is fluid density and g is gravity.