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Oil correlations based on Gulf of Mexico oil samples.

Bubble point pressurepbpsia

LaTeX Math Inline
body--uriencoded--\displaystyle p_b =

a \, R_s%5eb

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]
,
LaTeX Math Inline
body--uriencoded--X = c_5 \, T%5e%7Bc_6%7D + c_7 \, \gamma

_g%5ec \, \gamma_o%5ed \, T%5ee

_%7BAPI%7D%5e%7Bc_8%7D

LaTeX Math Inline
bodyc_1 = 112.727, \ c_2 = 0.5774, \ c_3 = 0.8439, \ c_4 = -12.340

LaTeX Math Inline
body--uriencoded--

a

c_5 =

5

4.

38088

561 \cdot 10%5e%7B-

3%7D

5%7D, \

b

c_6 =

0

1.

715082

3911, \ c_7 = -

1

7.

877840 , \ d = 3.1437, \ e

916 \cdot 10%5e%7B-4%7D, \ c_8 = 1.

32657

5410


Saturated gas solubility


Rsscf/stbp ≤ pb

LaTeX Math Inline
body--uriencoded--\displaystyle R_s(p, T) =\left[

a%5e%7B-1%7D p_b \, \gamma_g%5e%7B-c%7D \, \gamma_o%5e%7B-d%7D \, T%5e%7B-e%7D \right]%5e%7B1/b%7D

\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
,
LaTeX Math Inline
body--uriencoded--X = c_5 \, T%5e%7Bc_6%7D + c_7 \, \gamma_%7BAPI%7D%5e%7Bc_8%7D

LaTeX Math Inline
bodyc_1 = 112.727, \ c_2 = 0.5774, \ c_3 = 0.8439, \ c_4 = -12.340

LaTeX Math Inline
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


Saturated oil formation volume factor

Bobbl/stbp ≤ pb

LaTeX Math Inline
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

LaTeX Math Inline
body--uriencoded--

a = 5.38088

c_1 = 1.0113, \ c_2 = 7.2046 \cdot 10%5e%7B-

3%7D, \ b

5%7D, \ c_3 = 3.0936, \ c_4 = 0.3738

LaTeX Math Inline
bodyc_5 = 0.

715082

2914, \ c_6 = -

1

0.

877840

6265, \

d

c_7 =

3

0.

1437

24626, \

e

c_8 =

1

0.

32657

5371

Saturated


Undersaturated oil formation volume factor

Bobbl/stbp
> pb

LaTeX Math Inline
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 )

= 0.497069 + 0.862963 \cdot 10%5e%7B-3%7D \, T + 0.182594 \cdot 10%5e%7B-2%7D \, F + 0.318099 \cdot 10%5e%7B-5%7D \, F%5e2, \quad F =R_s%5ea \, \gamma_g%5eb \, \gamma_o%5ec

LaTeX Math Inline
bodya = 0.742390, \, b = 0.323294, \, c = -1.202040

where

\right]

LaTeX Math Inline
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

LaTeX Math Inline
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

Undersaturated oil isothermal compressibilitycopsi-1p > pb

LaTeX Math Inline
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

LaTeX Math Inline
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


Dead oil viscosityμodcpdead

LaTeX Math Inline
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
LaTeX Math Inline
body--uriencoded--X = c_3 \cdot \log_%7B10%7D (T) + c_4

LaTeX Math Inline
body--uriencoded--c_1 = 2.3511 \cdot 10%5e7, \ c_2 = -2.10255 \ c_3 = 4.59388, \ c_4 = - 22.82792


Saturated oil viscosityμocpp ≤ pb

LaTeX Math Inline
body--uriencoded--\displaystyle \mu_%7Bob%7D(R_s) = A \cdot \left( \mu_%7Bod%7D \right)%5eB
LaTeX Math Inline
body--uriencoded--A = c_1 + c_2 \cdot 10%5e%7B\, c_3 \cdot R_s%7D
,
LaTeX Math Inline
body--uriencoded--B = c_4 + c_5 \cdot 10%5e%7B\, c_6 \cdot R_s%7D

LaTeX Math Inline
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


Undersaturated oil viscosityμocpp > pb

LaTeX Math Inline
body--uriencoded--\displaystyle \mu_o(p, T) = \mu_%7Bob%7D + c_5 \cdot ( p - p_b) \cdot 10%5eA

LaTeX Math Inline
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

LaTeX Math Inline
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

where

LocationGulf of Mexico
LocationNorth Sea

LaTeX Math Inline
bodyp

psiaFluid pressure

LaTeX Math Inline
bodyT

°R
°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

LaTeX Math Inline
body--uriencoded--R_%7Bsb%7D

scf/stb

LaTeX Math Inline
bodyp_b

psiaBubble point pressure

LaTeX Math Inline
body--uriencoded--B_%7Bob%7D

bbl/stbFormation volume factor at bubble point pressure pb

LaTeX Math Inline
body--uriencoded--\mu_%7Bob%7D

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