(b) You must determine the four values in paragraphs (a)(4) through (7) of this section, using the calculations in paragraphs (b)(1) through (15) of this section. (1) Determine the value of the bottom hole pressure, PBH (psia), based on available information at the well site, or by calculating it using the reservoir pressure, PR (psia), in the following equation: View Image
(2) Determine the value of the bottom hole temperature, TBH (F), based on available information at the well site, or by calculating it using the true vertical depth of the well, L (ft), in the following equation: View Image
(3) Calculate the value of the applicable natural gas specific gravity that would result from a separator pressure of 100 psig, [GAMMA]gs, using the following equation with: Separator at standard conditions (pressure, p = 14.7 (psia), temperature, T = 60 (F)); the oil API gravity at the well site, [GAMMA]0; and the gas specific gravity at the separator under standard conditions, [GAMMA]gp = 0.75: View Image
(4) Calculate the value of the applicable dissolved GOR, Rs (scf/STBO), using the following equation with: The bottom hole pressure, PBH (psia), determined in (b)(1) of this section; the bottom hole temperature, TBH (F), determined in (b)(2) of this section; the gas gravity at separator pressure of 100 psig, [GAMMA]gs, calculated in (b)(3) of this section; the oil API gravity, [GAMMA]o, at the well site; and the constants, C1, C2, and C3, found in Table 1 to this paragraph(b)(4): View Image
Table 1 to Paragraph (b)(4)-Coefficients for the Correlation for R s
Constant | [GAMMA] API [LESS THAN EQUAL TO] 30 | [GAMMA] API > 30 |
C1 | 0.0362 | 0.0178 |
C2 | 1.0937 | 1.1870 |
C3 | 25.7240 | 23.931 |
(5) Calculate the value of the oil formation volume factor, Bo (bbl/STBO), using the following equation with: The bottom hole temperature, TBH (F), determined in paragraph (b)(2) of this section; the gas gravity at separator pressure of 100 psig, [GAMMA]gs, calculated in paragraph (b)(3) of this section; the dissolved GOR, Rs (scf/STBO), calculated in paragraph (b)(4) of this section; the oil API gravity, [GAMMA] o, at the well site; and the constants, C1, C2, and C3, found in Table 2 to this paragraph (b)(5): View Image
Table 2 to Paragraph (b)(5)-Coefficients for the Correlation for B
o
Constant | [GAMMA] API [LESS THAN EQUAL TO] 30 | [GAMMA] API > 30 |
C1 | 4.677 * 10 -4 | 4.670 * 10 -4 |
C2 | 1.751 * 10 -5 | 1.100 * 10 -5 |
C3 | -1.811 * 10 -8 | 1.337 * 10 -9 |
(6) Calculate the density of oil at the wellhead, View Image
using the following equation with the value of the oil API gravity, [GAMMA] o, at the well site:
View Image
(7) Calculate the density of oil at bottom hole conditions, View Image
using the following equation with: the dissolved GOR, Rs (scf/STBO), calculated in paragraph (b)(4) of this section; the oil formation volume factor, Bo (bbl/STBO), calculated in paragraph (b)(5) of this section; the oil density at the wellhead,
View Image
calculated in paragraph (b)(6) of this section; and the dissolved gas gravity, [GAMMA]gd = 0.77:
View Image
(8) Calculate the density of oil in the well, View Image
using the following equation with the density of oil at the wellhead,
View Image
calculated in paragraph (b)(6) of this section; and the density of oil at bottom hole conditions,
View Image
calculated in paragraph (b)(7) of this section:
View Image
(9) Calculate the oil flow rate, qo (cu ft/sec,) using the following equation with: the oil formation volume factor, Bo (bbl/STBO), as calculated in paragraph (b)(5) of this section; and the estimated oil production rate at the well head, Qo (STBO/day): View Image
(10) Calculate the critical pressure, Pc (psia), and critical temperature, Tc (R), using the equations below with: Gas gravity at standard conditions (pressure, P = 14.7 (psia), temperature, T = 60 (F)), [GAMMA] = 0.75; and where the mole fractions of nitrogen, carbon dioxide and hydrogen sulfide in the gas are XN2 = 0.168225, XCO2 = 0.013163, and XH2S = 0.013680, respectively: Pc (psia) = 678 - 50 · ([GAMMA]g -0.5) - 206.7 ·XN2 + 440 ·XCO2 + 606.7 ·XH2S
Tc (R) = 326 + 315.7 · ([GAMMA]g - 0.5) - 240 ·XN2 - 88.3 ·XCO2 + 133.3 ·XH2S
(11) Calculate reduced pressure, Pr, and reduced temperature, Tr, using the following equations with: the bottom hole pressure, PBH, as determined in paragraph (b)(1) of this section; the bottom hole temperature, TBH (F), as determined in paragraph (b)(2) of this section in the following equations: View Image
(12)(i) Calculate the gas compressibility factor, Z, using the following equation with the reduced pressure, Pr, calculated in paragraph (b)(11) of this section: View Image
(ii) The values for A, B, C, D in the above equation, are calculated using the following equations with the reduced pressure, Pr, and reduced temperature, Tr, calculated in paragraph (b)(11) of this section: View Image
(13) Calculate the gas formation volume factor, View Image
using the bottom hole pressure, PBH(psia), as determined in paragraph (b)(1) of this section; and the bottom hole temperature, TBH(F), as determined in paragraph (b)(2) of this section:
View Image
(14) Calculate the gas flow rate, View Image
using the following equation with: the value of gas formation volume factor,
View Image
calculated in paragraph (b)(13) of this section; the estimated gas production rate, Qg (scf/day); the estimated oil production rate, Qo (STBO/day); and the dissolved GOR, Rs (scf/STBO), as calculated in paragraph (b)(4) of this section:
View Image
(15) Calculate the flow rate of water in the well, qw (cu ft/sec), using the following equation with the water production rate Qw (bbl/day) at the well site: View Image