Improved LET function and use to modelingrelative permeability curves for one of the Iranian carbonate reservoir rock

There are two key methods of simulating multi-phase flow experiments. One is the actual estimation of multi-phase flow properties from measured data, and the other is the representation of the analytical functions for relative permeability and capillary pressure. It is essential that these functions have sufficient degrees of freedom to model the measured data whilst remaining straightforward and easy to communicate.A new smooth and flexible three-parameter analytical correlation for relative permeability is proposed. Results from e.g. unsteady state relative permeability experiments often exhibit behavior which is difficult to model using e.g. Corey correlation. The new correlation influences different parts of the relative permeability curve and thereby captures variable behavior across the entire saturation range.The validity of new correlation is demonstrated by utilizing unsteady-state experiments performed at ambient conditions on core samples from the Southern Iranian reservoir rocks. Results show that there is a logical relation between the basic rock properties and tuning parameters of new correlation. For the modeling of the relative permeability, the relation of tuning parameters against basic parameters, i.e. permeability and porosity, should be found. Knowing the logical correlation and the basic parameters from routine analysis or logs, the tuning parameters and therefore relative permeability curves will be easily calculated.