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A three constant model is developed describing the rheological behavior of drilling fluids and cement slurries. The proposed model and the former ones, the Bingham, power law, Herschel-Bulkley, Casson, Robertson-Stiff, were tested with the measured data for a total number of seventy one drilling fluids and cement slurries of which twenty of them are presented here. The results, in general, conform to the proposed model with a high degree of accuracy. Flow equations, based on the proposed model, are also developed for both pipe and annular flows.

The objective of this research is to investigate the concentration effect on the rheological properties of different bentonite suspensions. Experiments were performed with different bentonite type and concentrations and the results were evaluated by different rheological models (Bingham plastic, Power law, Sisco, Casson, Herchel Bulkley and Robertson Stiff) describing the flow of non-Newtonian fluids by mathematical equations in terms of shear rate and shear stress.