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Bubble point pressure | pb | psia |
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body | --uriencoded--\displaystyle p_b =c_1 \cdot \left[ \frac%7BR_s%5e%7Bc_2%7D%7D%7B\gamma_g%5e%7Bc_3%7D%7D \cdot 10%5eX+ c_4 \right] |
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body | --uriencoded--X = c_5 \, T%5e%7Bc_6%7D + c_7 \, \gamma_%7BAPI%7D%5e%7Bc_8%7D |
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LaTeX Math Inline |
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body | c_1 = 112.727, \ c_2 = 0.5774, \ c_3 = 0.8439, \ c_4 = -12.340 |
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LaTeX Math Inline |
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body | --uriencoded--c_5 = 4.561 \cdot 10%5e%7B-5%7D, \ c_6 = 1.3911, \ c_7 = -7.916 \cdot 10%5e%7B-4%7D, \ c_8 = 1.5410 |
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Saturated gas solubility
| Rs | scf/stb | p ≤ pb | LaTeX Math Inline |
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body | --uriencoded--\displaystyle R_s(p, T) =\left[ \gamma_g%5e%7Bc_3%7D \cdot ( p/c_1 - c_4)\cdot 10%5e%7B-X%7D \right] %5e%7B1/%7Bc_2%7D%7D |
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body | --uriencoded--X = c_5 \, T%5e%7Bc_6%7D + c_7 \, \gamma_%7BAPI%7D%5e%7Bc_8%7D |
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LaTeX Math Inline |
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body | c_1 = 112.727, \ c_2 = 0.5774, \ c_3 = 0.8439, \ c_4 = -12.340 |
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LaTeX Math Inline |
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body | --uriencoded--c_5 = 4.561 \cdot 10%5e%7B-5%7D, \ c_6 = 1.3911, \ c_7 = -7.916 \cdot 10%5e%7B-4%7D, \ c_8 = 1.5410 |
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Saturated oil formation volume factor | Bo | bbl/stb | p ≤ pb | LaTeX Math Inline |
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body | --uriencoded--\displaystyle B_o(p, T) = c_1 + c_2 \cdot \left[ R_s%5e%7Bc_4%7D(p, T) \, \gamma_g%5e%7Bc_5%7D \, \gamma_o%5e%7Bc_6%7D + c_7 \, T%5e%7Bc_8%7D \right]%5e%7Bc_3%7D |
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LaTeX Math Inline |
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body | --uriencoded--c_1 = 1.0113, \ c_2 = 7.2046 \cdot 10%5e%7B-5%7D, \ c_3 = 3.0936, \ c_4 = 0.3738 |
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LaTeX Math Inline |
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body | c_5 = 0.2914, \ c_6 = -0.6265, \ c_7 =0.24626, \ c_8 = 0.5371 |
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Undersaturated oil formation volume factor | Bo | bbl/stb | p > pb | LaTeX Math Inline |
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body | --uriencoded--\displaystyle B_o(p, T) = B_%7Bob%7D \cdot \exp \left[ A \cdot ( p_b%5e%7Bc_6%7D -p%5e%7Bc_6%7D ) \right] |
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LaTeX Math Inline |
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body | --uriencoded--A = с_1 \cdot R_%7Bsb%7D%5e%7Bc_2%7D \cdot \gamma_g%5e%7Bc_3%7D \cdot \gamma_%7BAPI%7D%5e%7Bc_4%7D \cdot T%5e%7Bc_5%7D |
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LaTeX Math Inline |
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body | --uriencoded--c_1 = 4.16463 \cdot 10%5e%7B−7%7D \ , \ c_2 = 0.69357 \ , \ c_3 = 0.1885 \ , \ c_4 = 0.3272 \ , \ c_5 = 0.6729 \ , \ c_6 = 0.4094 |
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Undersaturated oil isothermal compressibility | co | psi-1 | p > pb | LaTeX Math Inline |
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body | --uriencoded--c_o(p, T) = c_1 \, R_s%5e%7Bc_2%7D(p, T) \, \gamma_g%5e%7Bc_3%7D \, \gamma_%7BAPI%7D%5e%7Bc_4%7D \, T%5e%7Bc_5%7D \, p%5e%7Bc_6%7D |
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LaTeX Math Inline |
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body | --uriencoded--c_1 = 1.705 \cdot 10%5e%7B-7%7D, \ c_2 = 0.69357, \ c_3 = 0.1885, \ c_4 = 0.3272, \ c_5 = 0.6729, \ c_6 = -0.5906 |
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Dead oil viscosity | μod | cp | dead | LaTeX Math Inline |
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body | --uriencoded--\displaystyle \mu_%7Bod%7D(T) =c_1 \cdot T%5e%7Bc_2%7D \cdot \big[ \log_%7B10%7D(\gamma_%7BAPI%7D) \big]%5eX |
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body | --uriencoded--X = c_3 \cdot \log_%7B10%7D (T) + c_4 |
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LaTeX Math Inline |
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body | --uriencoded--c_1 = 2.3511 \cdot 10%5e7, \ c_2 = -2.10255 \ c_3 = 4.59388, \ c_4 = - 22.82792 |
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Saturated oil viscosity | μo | cp | p ≤ pb | LaTeX Math Inline |
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body | --uriencoded--\displaystyle \mu_%7Bob%7D(R_s) = A \cdot \left( \mu_%7Bod%7D \right)%5eB |
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body | --uriencoded--A = c_1 + c_2 \cdot 10%5e%7B\, c_3 \cdot R_s%7D |
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body | --uriencoded--B = c_4 + c_5 \cdot 10%5e%7B\, c_6 \cdot R_s%7D |
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LaTeX Math Inline |
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body | --uriencoded--c_1 = 0.1651, \ c_2 = 0.6165, \ c_3 = -6.0866 \cdot 10%5e%7B-4%7D, \ c_4 = 0.5131 \ c_5 = 0.5109 , \ c_6 = - 1.1831 \cdot 10%5e%7B-3%7D |
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Undersaturated oil viscosity | μo | cp | p > pb | LaTeX Math Inline |
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body | --uriencoded--\displaystyle \mu_o(p, T) = \mu_%7Bob%7D + 1.3449E-3 c_5 \cdot ( p - p_b) \cdot 10%5eA |
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LaTeX Math Inline |
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body | --uriencoded--A = c1 + c2 \cdot \log(\mu_%7Bob%7D) + c3 \cdot \big[ \log(\mu_%7Bob%7D) \big]%5e2 + c4 \cdot \left[ \log(\mu_%7Bob%7D) \right]%5e3 |
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LaTeX Math Inline |
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body | --uriencoded--c_1 = -1.0146, \ c_2 = 1.3322 \ c_3 = -0.4876, \ c_4 = - 1.15036, c_5 =1.3449 \cdot 10%5e%7B-3%7D |
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See Also
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Petroleum Industry / Upstream / Petroleum Engineering / Subsurface E&P Disciplines / Reservoir Engineering (RE) / PVT correlations / Oil correlations
References
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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
LaTeX Math Inline |
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body | --uriencoded--c_o = c_1 \, R_s%5e%7Bc_2%7D \, \gamma_y%5e%7Bc_3%7D \, \gamma_%7BAPI%7D%5e%7Bc_4%7D \, T%5e%7Bc_5%7D \, p%5e%7Bc_6%7DPetrosky, 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