PETROSKILLS COPYRIGHT

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1 Contents Solution Gas-Oil Ratio Formation Volume Factor Viscosity Density... 5 Bubble Point Pressure Compressibility... 6 Macros

2 Solution Gas-Oil Ratio R s = a γ p 00 g a 01 e a02γ T API Equation 1: Vazquez & Beggs solution gas-oil ratio correlation.γ g primary separator gas gravity (= gas component) [1/air].γ API stock-tank oil gravity ( = oil component) [ o API].p pressure of interest [psia].a 00->a 03 are constants Constant γ API 30 Value Constant γ API > 30 Value a E-01 a E-02 a E+00 a E+00 a E+01 a E+01 R s ssm3 sm 3 = R s scf stb p[psia] = p[kpa] T[ ] = T[K]

3 Formation Volume Factor BB oooo = 1 + aa 00 RR ss + TT γγ oo (aa γγ 01 + aa 02 RR ss ) gg Equation 2: Vazquez & Beggs saturated oil formation volume factor correlation.b ob Saturated oil formation volume factor [bbl/stb].γ g primary separator gas gravity ( = gas component) [1/air].γ o stock-tank oil gravity ( = oil component) [1/wtr].a 00->a 03 are constants Constant γapi 30 Value Constant γapi > 30 Value a E-04 a E-04 a E-05 a E-05 a e-08 a E-09 B ob m3 sm 3 = B ob bbl stb 1 R s scf stb = R s ssm3 sm

4 Viscosity (XX 3 ) μμ oooo = XX 2 μμ oooo XX 2 = aa 03 (RR ss + aa 04 ) (aa 05 ) XX 3 = aa 06 (RR ss + aa 07 ) (aa 08 ) Equation 3: Beggs & Robinson live oil viscosity correlation.μ ob saturated oil viscosity [cp].μ od dead oil viscosity [cp].a 00->a 08 are constants, X 2->X 3 are intermediate variables μμ oooo = 10 XX 1TT [aa 00 ] 1 XX 1 = 10 (aa 01+aa 02 γγ AAAAAA ) Equation 4: Beggs & Robinson dead oil viscosity correlation.μ od dead oil viscosity [cp].γ API stock-tank oil gravity ( = oil component) [ o API].a 00->a 08 are constants, X 1 is an intermediate variable Constant Value Constant Value a e+00 a e-01 a E+00 a E+00 a e-02 a E+02 a E+01 a e-01 a E+02 µ ob [mpa. s] = µ ob [cp] 1 R s scf stb = R s ssm3 sm T[ ] = T[K]

5 Density pp ssss ρρ wwwwww γγ oo + MM wwaaaaaa γγ gg RR ss aa 00 RR[aa ρρ oooo = 01 + TT ssss ] BB oo Equation 5: Live oil density from theory SI.ρ ob saturated oil density [lb/cuft] [kg/m 3 ].B o Formation volume factor [bbl/stb] [m 3 /sm 3 ].R s Solution gas-oil ratio [scf/stb] [sm 3 /sm 3 ].γ o stock tank oil specific gravity [1/wtr] [1/wtr].γ g surface gas specific gravity [1/air] [1/air].p sc standard pressure [psia] [kpa].t sc standard temperature [ o F] [ o C].ρ wsc water density at standard conditions [lb/cuft] [kg/m 3 ].M wair apparent molecular mass of air [lb/mol] [g/mol] R universal gas constant [psia.cuft]/[mol. o R] [J/mol/K] a 00 gas-oil ratio conversion constant [scf/stb] 1 [sm 3 /sm 3 ] a 01 relative to absolute temperature conversion [ o R] [K] Bubble Point Pressure RR ss pp bb = aa 00 ee XX 0 γγ gg γγ AAAAAA XX 0 = aa 02 TT aa 01 Equation 6: Vazquez & Beggs bubble point pressure correlation.p b pressure of interest [psia].γ g primary separator gas gravity (= gas component) [1/air].γ API stock-tank oil gravity ( = oil component) [ o API].a 00->a 03 are constants, X 0 is an intermediate variable 5

6 p bb [kpa] = p bb [psi] R s scf stb = R s ssm3 sm T[ ] = T[K] Constant γ API 30 Value Constant γ API > 30 Value a00 1/ E-01 a00 1/ E-02 a01 1/ E+00 a01 1/ E+00 a e+01 a e+01 Compressibility cc oo = 1 BB oo BB oo TT Equation 7: Under-saturated oil compressibility cc oo = 1 BB oo BB oo BB RR ss gg TT Equation 8: Saturated oil compressibility SI.c o oil compressibility [1/psi] [1/kPa].B o oil formation volume factor [cuft/scf] [m 3 /sm 3 ].B g gas formation volume factor [cuft/scf] [m 3 /sm 3 ].R s solution gas-oil ratio [scf/scf] [sm 3 /sm 3 ].P pressure of interest [psia] [kpa] [K] Macros Name Purpose Qualifier Units Source Date Module vasq_pb Bubble Point Black Oil [psia] Vazquez & Beggs 1980 Oil Pressure vasq_bob Formation Volume Bubble point [bbl /stb] Vazquez & Beggs 1980 Oil Factor begg_uob Viscosity, Dynamic Oil, Saturated [cp] Beggs & Robinson 1975 Viscous begg_uod Viscosity, Dynamic Oil, Dead [cp] Beggs & Robinson 1975 Viscous 6

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PETROSKILLS COPYRIGHT

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