PETROSKILLS COPYRIGHT

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1 Contents Dew Point... 2 SI Conversions... 2 Output... 2 Input... 2 Solution Condensate-Oil Ratio... 3 SI Conversions... 3 Output... 3 Input... 3 Gas Density... 4 SI Conversions... 5 Output... 5 Input... 5 Oil Density... 5 SI Conversions... 6 Output... 6 Input... 6 Gas Formation Volume Factor... 6 Oil Formation Volume Factor... 7 Two-Phase Deviation Factor... 7 Macros

2 Dew Point ln pp dd = aa 00 + aa 01 XX 0 + aa 02 XX XX 0 = XX ii ii=1 XX ii = aa ii0 + aa ii1 XX jj + aa ii2 XX jj 2 XX jj = ln RR ss, γγ AAAAAA, γγ gggg Equation 1: Ovalle et al. dew point pressure correlation Where: Oilfield.p d dew point pressure [psia].r s separator gas-stock tank oil ratio [scf/stb].γ API stock tank oil specific gravity [ o API].γ gr reservoir gas specific gravity [1/air]..a 00-a 32 are constants, X 0->X 2 are intermediate variables a a a a a a a a a a a a SI Conversions Output p dd [kpa] = p dd [psi] Input R s scf stb = R s ssm3 sm

3 Solution Condensate-Oil Ratio RR vv (pp) = RR vvvv 1 XX 0 XX 1 1 pp pp ii 1 XX 0 XX 0 = aa 00 + aa 01 RR vvvv if RR vvvv aa 30 XX 0 = aa 02 (1 + aa 03 [RR vvvv + aa 04 ]) aa 05 if RR vvvv > aa 30 aa XX 1 = aa 10 + aa 11 RR 12 vvvv if RRvvvv aa 31 XX 1 = aa 13 ln(rr vvvv ) + aa 14 if RR vvvv > aa 31 Equation 2: Garb's correlation for solution condensate-oil ratio below the dew point Where: Oilfield.p pressure of interest [psia].p i dew point pressure [psia].r vi condensate-gas solution ratio at dew point pressure [stb/mmscf].r v(p) condensate-gas solution ratio at pressure of interest [stb/mmscf]. X 0 and X 1 are intermediate variables.a 00->a 31 are constants a a a a a a a a a04-15 a a a30 15 a SI Conversions Output R v sm3 sm 3 = R v stb MMscf Input R vi stb MMscf = R vi sm3 sm p ii [psia] = p ii [kpa] p[psia] = p[kpa]

4 Gas Density ρρ gg = MM wwpp ZZZZZZ Equation 3: Gas density from the real gas equation Z = aaaaaaaa_zz pp pppp, TT pppp, 1 pp pppp = pp pp pppp TT pppp = TT TT pppp Equation 4: Compressibility factor of the in-situ gas MM ww = yy oo MM wwww + yy gg MM wwww Equation 5: Apparent molecular mass of the in-situ gas pp pppp = aa 00 + aa 01 MM ww + aa 02 MM ww (ln[mm ww ] + aa 03 ) TT pppp = bb 00 + bb 01 MM ww + bb 02 MM ww (ln[mm ww ] + bb 03 ) Equation 6: Sutton's correlations for pseudo-critical oil properties (works for gas).ρ g In-situ gas density [lb/cuft] [kg/m 3 ].M w apparent molecular mass of the in-situ gas [lb/mol] [g/mol].m wo apparent molecular mass of the stock-tank oil [lb/mol] [g/mol].m wg apparent molecular mass of the surface gas [lb/mol] [g/mol].y g Mole fraction of surface gas in in-situ gas [ ] [ ].y o Mole fraction of stock-tank oil in in-situ gas [ ] [ ].p pressure of interest [psia] [kpa].t temperature of interest [degr] [K].Z compressibility factor of in-situ gas [ ] [ ].R universal gas constant [[psia.cuft]/[mol. o R]] [J/mol/K].p pc pseudo-critical pressure [psia] [kpa].t pc pseudo-critical temperature [degr] [K].a 00->b 03 are constants a b a b a b a b

5 SI Conversions Output P pc [kpa] = P pc [psia] T pc [K] = T pc [ o R] 5 9 Input M w [lb/mol] = M w [g/mol] 1 Oil Density ρρ oo = MM wwpp ZZZZZZ Equation 7: Oil density from the real gas equation Z = aaaaaaaa_zz pp pppp, TT pppp, 0.01 pp pppp = pp pp pppp TT pppp = TT TT pppp Equation 8: Compressibility factor of the in-situ oil MM ww = xx oo MM wwww + xx gg MM wwww Equation 9: Apparent molecular mass of the in-situ oil pp pppp = aa 00 + aa 01 MM ww + aa 02 MM ww (ln[mm ww ] + aa 03 ) TT pppp = bb 00 + bb 01 MM ww + bb 02 MM ww (ln[mm ww ] + bb 03 ) Equation 10: Sutton's correlations for pseudo-critical oil properties.ρ o In-situ oil density [lb/cuft] [kg/m 3 ].M w apparent molecular mass of the in-situ oil [lb/mol] [g/mol].m wo apparent molecular mass of the stock-tank oil [lb/mol] [g/mol].m wg apparent molecular mass of the surface gas [lb/mol] [g/mol].x g Mole fraction of surface gas in in-situ oil [ ] [ ].x o Mole fraction of stock-tank oil in in-situ oil [ ] [ ].p pressure of interest [psia] [kpa].t temperature of interest [degr] [K].Z compressibility factor of in-situ oil [ ] [ ].R universal gas constant [[psia.cuft]/[mol. o R]] [J/mol/K].p pc pseudo-critical pressure [psia] [kpa].t pc pseudo-critical temperature [degr] [K].a 00->b 03 are constants 5

6 a b a b a b a b SI Conversions Output p pc [kpa] = p pc [psia] T pc [K] = T pc [ o R] 5 9 Input M w [lb/mol] = M w [g/mol] 1 Gas Formation Volume Factor BB gg = MM ww ρρ gggggg 1 ρρ gg MM wwww yy gg Equation 11: Gas formation volume factor from density MM ww = yy oo MM wwww + yy gg MM wwww Equation 12: Apparent molecular mass of the in-situ gas.ρ g In-situ gas density [lb/cuft] [kg/m 3 ].ρ gsc surface gas density at standard conditions [lb/scf] [kg/sm 3 ].M w apparent molecular mass of the in-situ gas [lb/mol] [g/mol].m wo apparent molecular mass of the stock-tank oil [lb/mol] [g/mol].m wg apparent molecular mass of the surface gas [lb/mol] [g/mol].y g Mole fraction of surface gas in in-situ gas [ ] [ ].y o Mole fraction of stock-tank oil in in-situ gas [ ] [ ] 6

7 Oil Formation Volume Factor BB oo = MM ww ρρ oooooo 1 ρρ oo MM wwww xx oo Equation 13: Oil formation volume factor from density MM ww = xx oo MM wwww + xx gg MM wwww Equation 14: Apparent molecular mass of the in-situ oil.ρ o In-situ oil density [lb/cuft] [kg/m 3 ].ρ osc surface oil density at standard conditions [lb/scf] [kg/sm 3 ].M w apparent molecular mass of the in-situ oil [lb/mol] [g/mol].m wo apparent molecular mass of the stock-tank oil [lb/mol] [g/mol].m wg apparent molecular mass of the surface gas [lb/mol] [g/mol].x g Mole fraction of surface gas in in-situ oil [ ] [ ].x o Mole fraction of stock-tank oil in in-situ oil [ ] [ ] Two-Phase Deviation Factor pp VV gg + VV oo = ZZ 2pp nn gg + nn oo RRRR Equation 15: Two-phase deviation factor definition.v o oil phase in-situ volume [cuft] [m 3 ].V g gas phase in-situ volume [cuft] [m 3 ].n o oil phase in-situ moles [lb-mol] [g-mol].n g gas phase in-situ moles [lb-mol] [g-mol].p in-situ pressure [psia] [kpa].t in-situ temperature [ o R] [K].R universal gas constant [[psia.cuft]/[mol. o R]] [J/mol/K].Z 2p two-phase deviation factor [ ] [ ] ZZ 2pp = aa 0 + aa 1 pp pppp + aa 2 + aa TT 3 pp 2 pppp + aa aa 5 pppp TT pppp Equation 16: Two-phase deviation factor correlation pp pppp TT pppp.p pr pseudo-reduced gas phase pressure [ ] [ ].T pr pseudo-reduced gas phase temperature [ ] [ ].Z 2p two-phase deviation factor [ ] [ ].a 0->a 5 are constants a a a a a a

8 Macros Name Purpose Qualifier Units Source Date Module oval_pd Dew Point Gas [psia] Ovalle, Lenn & McCain 2005 Wet Pressure garb_rv Volatized oil-gas Gas [stb/mmscf] Garb 1978 Wet ratio raye_z2 Z-Factor 2-phase [ ] Rayes, Piper, McCain & 1992 Wet Poston sutt_rob Density Oil or [lb/cuft] Sutton 2006 Oil Gas suttopc Critical Pressure Oil or [psia] Sutton 2006 Z Gas suttotc Critical Temperature Oil or Gas [degf] Sutton 2006 Z 8

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PETROSKILLS COPYRIGHT

PETROSKILLS COPYRIGHT Contents Solution Gas-Oil Ratio... 2... 2... 2... 2 Formation Volume Factor... 3... 3... 3... 3 Viscosity... 4... 4... 4... 4 Density... 5 Bubble Point Pressure... 5... 6... 6... 6 Compressibility... 6