Contents Density (Standard Conditions)... 2... 2... 2... 2 Formation Volume Factor... 2... 3... 3... 3 Density (In-Situ)... 3 Compressibility... 3... 4... 4... 4 Viscosity... 4... 5... 5... 5 Viscosibility... 5 Solution Gas-Water Ratio... 5... 6... 6... 6 Macros... 6 1
Density (Standard Conditions) ρρ wwwwww = aa 0 + aa 1 pppppp 10 4 + aa 2 pppppp 2 10 4 Equation 1: McCain's correlation for brine density at STP..ρ wsc brine density at standard pressure and temperature [lb/scf].ppm brine salinity in parts per million [ ]. a 1->a 3 are constants a0 62.368 a2 1.60074E-03 a1 0.438603 ρ kg lb m3 = ρ 1000 62.428 scf [None] Formation Volume Factor BB ww = (1 + XX 0 )(1 + XX 1 ) XX 0 = aa 00 + aa 01 TT + aa 02 TT 2 XX 1 = (aa 10 + aa 11 pp)pppp + (aa 12 + aa 13 pp)pp Equation 2: McCain's correlation for brine formation volume factor.b w Brine formation volume factor [bbl/stb]..a 00->a 13 are constants, X 0->X 1 are intermediate variables a00-1.00010e-02 a10-1.95301e-09 a01 1.33391E-04 a11-1.72834e-13 a02 5.50654E-07 a12-3.58922e-07 a13 2.25341E-10 2
B w m3 sm 3 = B w bbl stb 1 Density (In-Situ) ρρ ww = ρρ wwwwww BB ww Equation 3: Brine Density at pressure and temperature of interest SI.ρ wsc brine density at standard pressure and temperature [lb/scf] [kg/sm 3 ].ρ w brine density at pressure and temperature of interest [lb/cuft] [kg/m 3 ].B w Brine formation volume factor at pressure and temperature of interest [bbl/stb] [m 3 /sm 3 ] Compressibility cc ww = 1 ddbb ww BB ww dddd TT Equation 4: Brine compressibility definition 1 cc ww = aa 00 + aa 01 pp + aa 02 pppppp 10 4 + aa 03TT Equation 5: McCain's brine compressibility correlation.c w Brine compressibility [1/psi].ppm brine salinity in parts per million [ ]..a 00->a 03 are constants.a00 7.033E+00 a02-5.370e+02.a01 5.415E-01 a03 4.033E+05 3
c w 1 kpa = c w 1 0.145037738 psi Viscosity μμ ww = μμ wwww μμ pp μμ wwww = XX 0 TT XX 1 XX 0 = aa 00 + aa 01 pppppp 10 4 + aa 02 pppppp 2 10 4 + aa 11 pppppp 3 10 4 XX 1 = aa 03 + aa 04 pppppp 10 4 + aa 05 pppppp 2 10 4 + aa 06 pppppp 3 10 4 + aa 07 pppppp 4 10 4 µ p = a 08 + a 09 p + a 10 p 2 Equation 6: McCain's correlation for brine viscosity.μ w brine viscosity at pressure and temperature of interest [cp].μ wd brine viscosity at atmospheric pressure and temperature of interest [cp].μ p pressure correction [ ].ppm brine salinity in parts per million [ ]..a 00->a 11 are constants, X 0->X 1 are intermediate variables a00 1.09574E+02 a06-5.47119e-05 a01-8.40564e+00 a07 1.55586E-06 a02 3.13314E-01 a08 9.99400E-01 a03-1.12166e+00 a09 4.02950E-05 a04 2.63951E-02 a10 3.10620E-09 a05-6.79461e-04 a11 8.72213E-03 4
µ w [mpa. s] = µ w [cp] 1 Viscosibility cc μμ (pp, TT) = μμ ww(pp + pp, TT) μμ ww (pp, TT) pp Equation 7: Viscosibility equation SI.c μ(p,t) brine viscosibility at pressure and temperature of interest [cp/psi] [1000s].μ w(p,t) brine viscosity at pressure and temperature of interest [cp] [mpa.s].μ w(p+δp,t) brine viscosity at temperature of interest and slightly higher [cp] [mpa.s] pressure.δp slight pressure change [psi] [kpa] Solution Gas-Water Ratio RR ssss = RR ssss RR cc RR ssss = XX oo + XX 1 pp + XX 2 pp 2 XX oo = aa 00 + aa 01 TT + aa 02 TT 2 + aa 03 TT 3 XX 1 = aa 10 + aa 11 TT + aa 12 TT 2 + aa 13 TT 3 XX 2 = aa 20 + aa 21 TT + aa 22 TT 2 + aa 23 TT 3 +aa 24 TT 4 RR cc = aa 30 pppppp 10 4 TTaa 31 Equation 8: McCain's Solution Gas-Brine ratio correlation.r sb solution gas-brine ratio [scf/stb].r sw solution gas-water ratio [scf/stb].r c salinity correction [ ].ppm salinity in parts per million [ ]. a 00->a 31 are constants, X 0->X 2 are intermediate variables 5
a00 8.15839E+00 a20-9.02505e+00 a01-6.12265e-02 a21 1.30237E-01 a02 1.91663E-04 a22-8.53425e-04 a03-2.16540e-07 a23 2.34122E-06 a10 1.01021E-02 a24-2.37049e-09 a11-7.44241e-05 a30-8.40655e-02 a12 3.05553E-07 a31-2.85854e-01 a13-2.94883e-10 R sw ssm3 sm 3 = R sw scf 5.61458 stb Macros Name Purpose Qualifier Units Source Date Module x03gwr solution gas-water ratio brine [scf/stb] McCain 1988 NewSalt x03ub viscosity, dynamic brine [cp] McCain 1990 New Salt x03cb compressibility brine [1/psi] McCain 1990 NewSalt x03bw formation volume factor water [bbl/stb] McCain 1990 NewSalt x03rsc density at standard conditions brine [lb/scf] McCain 1990 NewSalt 6