Soil permeability is usually expressed as a function of some physical properties of the interconnected pore such as porosity and tortuosity. if it is can to assume that permeability value depend on porosity. what is the appropriate relationship?
Porosity is the volume of those pores relative to the total space, and it's a good measure of how much water the ground can hold. It also tells us a lot about the type of soil or sediment we're looking at.Porosity is great for telling us how much water the soil or sediment can hold, but it's also important to know how that water can move through those spaces underground. For this we use a term called permeability, which describes how easily water flows.
Thank you, Dr. Nabeel, what is mentioned is true, but I wanted a mathematical relationship suitable for all types of soils linking porosity and permeability
Permeability generally depends on porosity in foams because the cell size generally depends on porosity ... It is indeed very common that the higher the porosity, the higher the cell size: this is the usual case for foams.
This book chapter might be relevant to you: http://cdn.intechweb.org/pdfs/19418.pdf
permeability is speed water and air in the soil and porosity are the spaces exist in the soil and the relationship between them is direct where the greater the porosity increased permeability.