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Oil correlations based on North Sea oil samples.

Bubble point pressurepbpsia

LaTeX Math Inline
body--uriencoded--\displaystyle \log_%7B10%7D(p_b) = c_1 + c_2 \, \log_%7B10%7D(p%5e*_b) + c_3 \, [\log_%7B10%7D(p%5e*_b) ]%5e2
, 
LaTeX Math Inline
body--uriencoded--\displaystyle p%5e*_b = \left( R_%7Bsb%7D/\gamma_g \right)%5e%7Bc_4%7D \, \gamma_%7BAPI%7D%5e%7Bc_5%7D \, T%5e%7Bc_6%7D

LaTeX Math Inline
bodyc_1 = 1.7669, \ c_2 = 1.7447, \ c_3 = -0.30218, \ c_4 = 0.816, \ c_5 = -0.989

LaTeX Math Inline
body--uriencoded--\mbox%7BBlack Oil: %7D c_6 = 0.172
,
LaTeX Math Inline
body--uriencoded--\mbox%7BVolatile Oil: %7D c_6 = 0.130


Saturated oil gas solubility


Rsscf/stbp ≤ pb

LaTeX Math Inline
body--uriencoded--\displaystyle R_s(p, T) = \gamma_g \cdot \big[ \gamma_%7BAPI%7D%5e%7B-c_5%7D \, T%5e%7B-c_6%7D \, p_b%5e* \big]%5e%7B1/c_4%7D
, 
LaTeX Math Inline
body--uriencoded--\displaystyle p%5e*_b = 10%5eX, \quad X = (0.5/c_3) \cdot \left( -c_2 + \sqrt%7Bc_2%5e2 - 4 \, c _3 \, \big( c_1- \log_%7B10%7D(p) \big)%7D \right)

LaTeX Math Inline
bodyc_1 = 1.7669, \ c_2 = 1.7447, \ c_3 = -0.30218, \ c_4 = 0.816, \ c_5 = -0.989

LaTeX Math Inline
body--uriencoded--\mbox%7BBlack Oil: %7D c_6 = 0.172
,
LaTeX Math Inline
body--uriencoded--\mbox%7BVolatile Oil: %7D c_6 = 0.130


Saturated oil formation volume factor

Bobbl/stbp ≤ pb

LaTeX Math Inline
body--uriencoded--\displaystyle B_o(p, T) = 1.0 + 10%5eA, \quad A = c_1 + c_2 \, \log_%7B10%7D B%5e*_%7Bob%7D + c_3 \, \left( \log_%7B10%7D B%5e*_%7Bob%7D \right)%5e2

LaTeX Math Inline
body--uriencoded--B%5e*_%7Bob%7D = R_s(p, T) \, \left( \frac%7B\gamma_g%7D%7B\gamma_o%7D \right)%5e%7Bc_4%7D + c_5 \, T

LaTeX Math Inline
bodyc_1 = -6.58511, \ c_2 = 2.91329, \ c_3 = -0.27683, \ c_4 =0.526, \ c_5 = 0.968


Dead oil viscosity

μocpdead

LaTeX Math Inline
body--uriencoded--\displaystyle \mu_%7Bod%7D(T) = c_1 \, T%5e%7Bc_2%7D \, \big[ \log_%7B10%7D(\gamma_%7BAPI%7D) \big]%5ea
, 
LaTeX Math Inline
body--uriencoded--a = c_3 \, \log_%7B10%7D(T) + c_4

LaTeX Math Inline
body--uriencoded--c_1 =3.141 \cdot 10%5e%7B10%7D, \ c_2 = - 3.444, \ c_3 = 10.313, \ c_4 = -36.447

where

LocationNorth Sea

LaTeX Math Inline
bodyp

psiaFluid pressure

LaTeX Math Inline
bodyT

°FInitial formation temperature

LaTeX Math Inline
body--uriencoded--\gamma_%7BAPI%7D

°APIOil API gravity

LaTeX Math Inline
body\gamma_o

fracOil specific gravity

LaTeX Math Inline
body\gamma_g

fracGas specific gravity

...