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248 MATHEMATICAL MODELING IN PETROLEUM GEOLOGY
Fig. 11.22. Statistical distribution (a) and cumulative probability (b) of oil viscosity at five different
temperatures (after Buryakovsky and Dzhevanshir, 1992).
Dynamic viscosity can be obtained combining Eqs. 11.65 and 11.69:
m ¼ ag expðcg mgT þ nTÞ (11.73)
Substituting Eq. 11.37 into Eq. 11.69, one obtains an expression relating the
kinematic viscosity of crude oil to the content of resins plus asphaltenes
0
0
0
0
n ¼ a expðc R m RT þ n TÞ (11.74)
0
0
0
0
where a , c , m , and n are empirical coefficients.
After taking logarithms of Eq. 11.74, one obtains
lg g ¼ 0:6 þ 0:0565R 0:00034RT 0:083T (11.75)