Oil correlations based on Gulf of Mexico oil samples.
Bubble point pressure | pb | psia | \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 | |
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Rs | scf/stb | p ≤ 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 | |
Bo | bbl/stb | p ≤ 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 | |
Bo | bbl/stb | p > 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 compressibility | co | psi-1 | p > 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 |
Undersaturated oil viscosity | μo | cp | p > pb |
\displaystyle \mu_o(p, T) = \mu_{ob} + 1.3449E-3 \cdot ( p - p_b) \cdot 10^A |
where
Location | Gulf of Mexico | |
p | psia | Fluid pressure |
T | °F | Initial formation temperature |
\gamma_{API} | °API | Oil API gravity |
\gamma_o | frac | Oil specific gravity |
\gamma_g | frac | Gas specific gravity |
R_{sb} | scf/stb | Maximum Gas Solubility |
p_b | psia | Bubble point pressure |
B_{ob} | bbl/stb | Formation volume factor at bubble point pressure pb |
\mu_{ob} | cp | oil 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
c_o = c_1 \, R_s^{c_2} \, \gamma_y^{c_3} \, \gamma_{API}^{c_4} \, T^{c_5} \, p^{c_6}