Specific Or Intrinsic Permeability When Dynamic Viscosity 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 (K₀):

Unit Converter ▲

Unit Converter ▼

From:	To:

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. It represents the inherent ability of a porous material to allow fluid flow through its void spaces.

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 converts the coefficient of permeability (which depends on fluid properties) to intrinsic permeability (which is a property of the porous medium alone).

3. Importance of Intrinsic Permeability Calculation

Details: Intrinsic permeability is crucial in geotechnical engineering, hydrogeology, and petroleum engineering for analyzing fluid flow through porous media, designing drainage systems, and evaluating reservoir characteristics.

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's the difference between coefficient of permeability and intrinsic permeability?
A: Coefficient of permeability depends on both the porous medium and fluid properties, while intrinsic permeability depends only on the porous medium's characteristics.

Q2: What are typical units for intrinsic permeability?
A: Intrinsic permeability is typically measured in m², though darcy (1 darcy ≈ 9.87×10⁻¹³ m²) is also commonly used in petroleum engineering.

Q3: Why is temperature specified at 20°C for the coefficient of permeability?
A: Fluid properties (especially viscosity) vary with temperature, so standardizing at 20°C allows for consistent comparisons between different materials.

Q4: What factors affect intrinsic permeability?
A: Pore size distribution, porosity, tortuosity, and connectivity of pore spaces primarily determine intrinsic permeability.

Q5: How does intrinsic permeability relate to hydraulic conductivity?
A: Hydraulic conductivity = (intrinsic permeability × fluid unit weight) / dynamic viscosity, showing the direct relationship between these parameters.