try the model developed by "A. Bahadori (2011), A simple mathematical predictive tool for estimation of a hydrate inhibitor injection rate, NAFTA 62(7-8), 213-223
The above reference will give you detailed equations needed for your studies.
This is important, because such an accurate and mathematically simple correlation hydrate-forming conditions of natural gases with or without the presence of inhibitor is required frequently for the quick engineering calculations to avoid the additional computational burden of complicated calculations. The Vogel-TammannFulcher (VTF) equation (14-16) is an asymptotic exponential function that is given in the following general form.
Ln f =Ln (-fc) – E/R(T-Tc)
In equation , f is a properly defined temperature-dependent parameter, the units for which are determined individually for a certain property; fc is a pre-exponential coefficient, having the same unit of the property of interest; T and Tc are the actual temperature and the characteristic-limit temperature, respectively (both given in degrees Kelvin); E is referenced as the activation energy of the process causing parameter variation (given in units of J/kmol); and R is the universal gas constant 8.314 J/(kmol K)). A special case of the Vogel-TammannFulcher (VTF) equation for Tc = 0 is the well-known Arrhenius4 equation.