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                                                                                    WELL DELIVERABILITY  6/85
                       References                                6.3 For the data given in the following table, predict the
                                                                    operating point using the bottom-hole as the solution
                       chen, w., zhu, d., and hill, a.d. A comprehensive model  node:
                          of multilateral well deliverability. Presented at the SPE
                          International Oil and Gas Conference and Exhibition
                          held 7–10 November 2000 in Beijing, China. Paper
                          SPE 64751.                                Reservoir pressure:        3,500 psia
                       greene, w.r. Analyzing the performance of gas wells.  Total measured depth:  8,000 ft
                          J. Petroleum Technol. 1983:31–39.         Average inclination angle:  10 degrees
                       larsen, l. Productivity computations for multilateral,  Tubing ID:      1.995 in.
                          branched and other generalized and extended well con-  Gas production rate:  500,000 scfd
                                                                    Gas-specific gravity:
                                                                                               0.7 air ¼ 1
                          cepts. Presented at the SPE Annual Technical Confer-  Oil-specific gravity:  0.82 H 2 O ¼ 1
                          ence and Exhibition held 6–9 October 1996 in Denver,  Water cut:     20%
                          Colorado. Paper SPE 36753.                Water-specific gravity:    1.07 H 2 O ¼ 1
                                                                                                 3
                       nind, t.e.w. Principles of Oil Well Production, 2nd edition.  Solid production rate:  2ft =d
                          New York: McGraw-Hill, 1981.              Solid-specific gravity:    2.65 H 2 O ¼ 1
                       pernadi, p., wibowo, w., and permadi, a.k. Inflow per-  Tubing head temperature:  120 8F
                          formance of stacked multilateral well. Presented at the  Bottom-hole temperature:  160 8F
                          SPE Asia Pacific Conference on Integrated Modeling  Tubing head pressure:  400 psia
                          for Asset Management held 23–24 March 1996 in  Absolute open flow (AOF):  2,200 bbl/d
                          Kuala Lumpur, Malaysia. Paper SPE 39750.
                       russell, d.g., goodrich, j.h., perry, g.e., and bruskot-
                          ter, j.f. Methods for predicting gas well performance.  6.4 For the data given in the following table, predict the
                          J. Petroleum Technol. January 1966:50–57.  operating point using the bottom-hole as the solution
                       salas, j.r., clifford, p.j., and hill, a.d. Multilateral well  node:
                          performance prediction. Presented at the SPE Western
                          Regional Meeting held 22–24 May 1996 in Anchorage,
                          Alaska. Paper SPE 35711.
                                                                    Depth:                      9,500 ft
                                                                    Tubing inner diameter:      1.995 in.
                                                                    Oil gravity:                40 8API
                       Problems                                     Oil viscosity:              3 cp
                                                                    Production gas–liquid ratio:  600 scf/bbl
                       6.1 Suppose that a vertical well produces 0.65 specific  Gas-specific gravity:  0.75 air ¼ 1
                                          7
                          gravity gas through a 2 ⁄ 8 -in. tubing set to the top of  Flowing tubing head pressure:  500 psia
                          a gas reservoir at a depth of 8,000 ft. At tubing head,
                                                                    Flowing tubing head temperature:  90 8F
                          the pressure is 600 psia and the temperature is 120 8F,
                                                                    Flowing temperature at tubing shoe:  190 8F
                          and the bottom-hole temperature is 180 8F. The rela-
                                                                    Water cut:                  20%
                          tive roughness of tubing is about 0.0006. Calculate the
                                                                    Reservoir pressure:         5,250 psia
                          expected gas production rate of the well using the
                                                                    Bubble-point pressure:      4,200 psia
                          following data for IPR:
                                                                    Productivity above bubble point:  1.2 stb/d-psi
                            Reservoir pressure:  1,800 psia
                            IPR model parameter C:  0:15 Mscf=d-psi 2n
                            IPR model parameter n:  0.82         6.5 Use the following data to estimate the gas production
                                                                    rate of a gas well:
                       6.2 For the data given in the following table, predict the
                          operating point using the bottom-hole as a solution
                          node:
                          Reservoir pressure:    3,200 psia         Gas-specific gravity:    0.75
                          Tubing ID:             1.66 in.           Tubing inside diameter:  2.259 in.
                          Wellhead pressure:     600 psia           Tubing wall relative roughness:  0.0006
                          Productivity index     1.5 stb/d-psi      Measured depth at tubing shoe:  8,000 ft
                            above bubble point:                     Inclination angle:       0 degrees
                          Producing gas–liquid   800 scf/stb        Wellhead choke size:     24 ⁄ 64 in.
                                                                                               1
                            ratio (GLR):                            Flowline diameter:       2 in.
                          Water cut (WC):        30%                Gas-specific heat ratio:  1.3
                          Oil gravity:           408API             Gas viscosity at wellhead:  0.01 cp
                          Water-specific gravity:  1.05 1 for       Wellhead temperature:    140 8F
                                                   freshwater       Bottom-hole temperature:  180 8F
                          Gas-specific gravity:  0.75 1 for air     Reservoir pressure:      2,200 psia
                          N 2 content in gas:    0.05 mole fraction  C-constant in backpressure IPR  0:01 Mscf d-psi 2n
                          CO 2 content in gas:   0.03 mole fraction   model:
                          H 2 S content in gas:  0.02 mole fraction  n-exponent in backpressure  0.84
                          Formation volume factor  1.25 rb/stb        IPR model:
                            for water:
                          Wellhead temperature:  110 8F
                          Tubing shoe depth:     6,000 ft        6.6 Use the following data to estimate liquid production
                          Bottom-hole temperature:  140 8F          rate of an oil well:
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