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BAKER HUGHES - Drilling Fluids Reference Manual

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HYDRAULICS<br />

Figure 9 - 6 Application of Power Law for 2.5 lb/bbl Xanthan Gum in 3% KCl Using<br />

Data from 1022 and 511 sec -1<br />

This example illustrates the need to apply this model within the power law region of a particular<br />

fluid to assure accurate predictions of viscosity.<br />

Bingham Plastic Model<br />

The other two parameter model which has been widely used in drilling fluid applications is the<br />

Bingham Plastic model (Equation 3). <strong>Fluids</strong> that exhibit Bingham Plastic behavior are<br />

characterized by a yield point (τ 0 ) and a plastic viscosity (μ p ) that is independent of the shear rate<br />

(Figure 9-7).<br />

τ = τ 0 + μ p γ& ……………………………………………………………… (3)<br />

where:<br />

τ = Shear stress<br />

τ 0 = Yield point<br />

μ p = Plastic viscosity<br />

γ& = Shear rate<br />

<strong>BAKER</strong> <strong>HUGHES</strong> DRILLING FLUIDS<br />

REFERENCE MANUAL<br />

REVISION 2006 9-6

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