Oil viscosity at bubblepoint pressure

Oil viscosity at bubblepoint pressure measures the oil’s resistance to flow at Pb . Three methods for estimating oil viscosity at bubblepoint pressure are presented.

1. Chew and Connally (1959)
$${\mu }_{\text{ob}}=\alpha {\mu }_{\text{od}}{}^{\beta }$$ $$\alpha =a_1+a_2{e}^{a_3{R}_s}$$ $$\beta =a_4+a_5{e}^{a_6{R}_s}$$ $$\overline{)\begin{array}{}\text{Coefficient}\text{Original}\\ a_1& 0.2\\ a_2& 0.8\\ a_3& -1.86509x{10}^{-3}\\ a_4& 0.43\\ a_5& 0.57\\ a_6& -1.65786x{10}^{-3}\end{array}}$$




2. Beggs and Robinson (1975)
$${\mu }_{\text{ob}}=\alpha {\mu }_{\text{od}}{}^{\beta }$$

where

$$\alpha =a_1{\left(R_S+a_2\right)}^{a_3}$$ $$\beta =a_4{\left(R_S+a_5\right)}^{a_6}$$ $$\overline{)\begin{array}{}\text{Coefficient}\text{Original}\\ a_1& 10.715\\ a_2& 100\\ a_3& -0.515\\ a_4& 5.44\\ a_5& 150\\ a_6& -0.338\end{array}}$$




3. Labedi (1992)
$$\ln {\mu }_{\text{ob}}=a_{\text{1}}+a_{\text{2}}{\gamma }_{API}+a_{\text{3}}\ln {\mu }_{\text{od}}+a_{\text{4 }}\ln p_{\text{b}}$$ $$\overline{)\begin{array}{}\text{Coefficient}\text{Original}\\ a_1& 5.397259\\ a_2& -0.081557\\ a_3& 0.6447\\ a_4& -0.426\end{array}}$$