Beggs and Robinson Oil Viscosity correlation

Brief

Beggs - Robinson correlation is an empirical correlation for oil viscosity published in 1975 .

Math & Physics

Dead oil viscosity:

$\mu_{od} = 10^X-1$

where:

A0 = -1.163
A1 = 13.108
A2 = 6.591

$X = T^{A_0} \times e^{A_1-A_2/SG_{o}}$

Saturated oil viscosity:

$\mu_{os} = \alpha1 \mu^{\alpha2}_{od}$

where:

B0 = 10.715
B1 = 5.615
B2 = 0.515

$\alpha1 = B_0 * (B_1 * R + 100)^B2)$

C0 = 5.44
C1 = 5.615
C2 = 0.338

$\alpha2 = C_0 * pow(C_1 * R + 150, -C_3)$

Nomenclature

$A_0..A_{2}$ = coefficients

$B_0..B_{2}$ = coefficients

$C_0..C_{2}$ = coefficients

$P$ = pressure, MPA

$P_{bp}$ = bubble point pressure, MPA

$R_s$ = oil gas ration, m3/m3

$SG_g$ = gas specific gravity, dimensionless

$T$ = temperature, °R

$Y_{oil_API}$ = oil API gravity, dimensionless