Abstract:

Herschel-Bulkey rheological model is one of those with three parameters. It can properly represent rheological properties of mud, cement slurry and polymer solutions over a wide range and with considerable accuracy. Based on foundational equations of rheological model, and by using extended form of power progression, this paper has derived the rheological law of fluid in horizontal rotation, and its accurate calculating expression. The error resulted from the conventional representations of rheology and the related factors have been analyzed. The extended representations of power progression is only an approximate expression, but it is adequate for engineering use. In addition, a shear-stress formula has been derived for the purpose of more accuracy.