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Oil correlations based on Gulf of Mexico oil samples.

Bubble point pressurepbpsia

\displaystyle p_b =c_1 \cdot \left[ \frac{R_s^{c_2}}{\gamma_g^{c_3}} \cdot 10^X+ c_4 \right], X = c_5 \, T^{c_6} + c_7 \, \gamma_{API}^{c_8}

c_1 = 112.727, \ c_2 = 0.5774, \ c_3 = 0.8439, \ c_4 = -12.340

c_5 = 4.561 \cdot 10^{-5}, \ c_6 = 1.3911, \ c_7 = -7.916 \cdot 10^{-4}, \ c_8 = 1.5410


Saturated gas solubility


Rsscf/stbp ≤ pb

\displaystyle R_s(p, T) =\left[ \gamma_g^{c_3} \cdot ( p/c_1 - c_4)\cdot 10^{-X} \right] ^{1/{c_2}}, X = c_5 \, T^{c_6} + c_7 \, \gamma_{API}^{c_8}

c_1 = 112.727, \ c_2 = 0.5774, \ c_3 = 0.8439, \ c_4 = -12.340

c_5 = 4.561 \cdot 10^{-5}, \ c_6 = 1.3911, \ c_7 = -7.916 \cdot 10^{-4}, \ c_8 = 1.5410


Saturated oil formation volume factor

Bobbl/stbp ≤ pb

\displaystyle B_o(p, T) = c_1 + c_2 \cdot \left[ R_s^{c_4}(p, T) \, \gamma_g^{c_5} \, \gamma_o^{c_6} + c_7 \, T^{c_8} \right]^{c_3}

c_1 = 1.0113, \ c_2 = 7.2046 \cdot 10^{-5}, \ c_3 = 3.0936, \ c_4 = 0.3738

c_5 = 0.2914, \ c_6 = -0.6265, \ c_7 =0.24626, \ c_8 = 0.5371


Undersaturated oil formation volume factor

Bobbl/stbp > pb

\displaystyle B_o(p, T) = B_{ob} \cdot \exp \left[ A \cdot ( p_b^{c_6} -p^{c_6} ) \right]

A = с_1 \cdot R_{sb}^{c_2} \cdot \gamma_g^{c_3} \cdot \gamma_{API}^{c_4} \cdot T^{c_5}

c_1 = 4.16463 \cdot 10^{−7} \ , \ c_2 = 0.69357 \ , \ c_3 = 0.1885 \ , \ c_4 = 0.3272 \ , \ c_5 = 0.6729 \ , \ c_6 = 0.4094

Undersaturated oil isothermal compressibilitycopsi-1p > pb

c_o(p, T) = c_1 \, R_s^{c_2}(p, T) \, \gamma_g^{c_3} \, \gamma_{API}^{c_4} \, T^{c_5} \, p^{c_6}

c_1 = 1.705 \cdot 10^{-7}, \ c_2 = 0.69357, \ c_3 = 0.1885, \ c_4 = 0.3272, \ c_5 = 0.6729, \ c_6 = -0.5906


Dead oil viscosityμodcpdead

\displaystyle \mu_{od}(T) =c_1 \cdot T^{c_2} \cdot \big[ \log_{10}(\gamma_{API}) \big]^XX = c_3 \cdot \log_{10} (T) + c_4
c_1 = 2.3511 \cdot 10^7, \ c_2 = -2.10255 \ c_3 = 4.59388, \ c_4 = - 22.82792


Saturated oil viscosityμocpp ≤ pb

\displaystyle \mu_{ob}(R_s) = A \cdot \left( \mu_{od} \right)^BA = c_1 + c_2 \cdot 10^{\, c_3 \cdot R_s}, B = c_4 + c_5 \cdot 10^{\, c_6 \cdot R_s}
c_1 = 0.1651, \ c_2 = 0.6165, \ c_3 = -6.0866 \cdot 10^{-4}, \ c_4 = 0.5131 \ c_5 = 0.5109 , \ c_6 = - 1.1831 \cdot 10^{-3}


Undersaturated oil viscosityμocpp > pb

\displaystyle \mu_o(p, T) = \mu_{ob} + c_5 \cdot ( p - p_b) \cdot 10^A
A = c1 + c2 \cdot \log(\mu_{ob}) + c3 \cdot \big[ \log(\mu_{ob}) \big]^2 + c4 \cdot \left[ \log(\mu_{ob}) \right]^3
c_1 = -1.0146, \ c_2 = 1.3322 \ c_3 = -0.4876, \ c_4 = - 1.15036, c_5 =1.3449 \cdot 10^{-3}

where

LocationGulf of Mexico

p

psiaFluid pressure

T

°FInitial formation temperature

\gamma_{API}

°APIOil API gravity

\gamma_o

fracOil specific gravity

\gamma_g

fracGas specific gravity

R_{sb}

scf/stb

p_b

psiaBubble point pressure

B_{ob}

bbl/stbFormation volume factor at bubble point pressure pb

\mu_{ob}

cpoil viscosity at bubble point pressure pb


See Also


Petroleum Industry / Upstream / Petroleum Engineering / Subsurface E&P Disciplines / Reservoir Engineering (RE) / PVT correlations / Oil correlations

References


Petrosky, G.E., and F.F. Farshad. "Pressure-Volume-Temperature Correlations for Gulf of Mexico Crude Oils." Paper presented at the SPE Annual Technical Conference and Exhibition, Houston, Texas, October 1993. doi: https://doi.org/10.2118/26644-MS

Petrosky, G.E., and F.F. Farshad. "Viscosity Correlations for Gulf of Mexico Crude Oils." Paper presented at the SPE Production Operations Symposium, Oklahoma City, Oklahoma, April 1995. doi: https://doi.org/10.2118/29468-MS



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