Question

Relation between absolute permeability \[({\mu _0})\] and relative permeability $({\mu _r}) $ of medium is:
A) ${\mu _0} = \mu {\mu _r}$
B) ${\mu _0} = {\mu _0}\mu $
C) $\mu = {\mu _0}{\mu _r}$
D) ${\text{None of the above}}$

Answer 1

Hint: The comparison of the air or vacuum permeability is the relative permeability of the object. In contrast with absolute permeability, the real air permeability or the vacuum is very limited. The ratio of permeability of any medium to permeability of air or vacuum is the relative permeability of the object.

Complete step by step solution:
The ratio of magnetic fluvial density to magnetic field strength in a medium is determined in a metre-kilogram second device in Weber per square metre. Mediated capability is also known Measure the flow potential of a single fluid (water, gas, or oil) in a rock structure until it is completely filled with that fluid.
The term Absolute Permeability ($\mu $) of a material is the product of permeability of free space ${\mu _0} $ and the Relative Permeability ${\mu _r} $
i.e. $\mu = {\mu _0} \times {\mu _r} $

The relative permeability of a phase is a dimensionless indicator of the effective permeability of this phase in multi-phase flows in porous media. It is the ratio of productive permeability to absolute permeability of this process. It can be considered as a modification to the rule of Darcy.
Relative Permeability (𝜇ᵣ) of a medium is defined as the force between two poles when placed at a fixed distance in vacuum to the force between them at the same distance in that medium.
The Relative Permeability is a pure numerical number and therefore has no units. As mentioned above, for air and non-magnetic materials, its value is unity.

Note: The permeability definition is established for a single phase system and only depends on rock characteristics. This is called absolute permeability. Two or three fluids are normally found in reservoirs. This conception is then changed to an increased "efficient permeability" saturated feature. Effective permeability is the capacity to saturate a porous medium with other fluids. The relationship between significant permeability and absolute permeability is often known as relative permeability. Relative permeability is seen in the presence of other fluids by the fluid fluid system.