Page 192 - Fundamentals of Enhanced Oil and Gas Recovery
P. 192

180                                                                       Forough Ameli et al.


                where H sbA is the enthalpy of steam at boiler outlet relative to feeder water tempera-
                ture (T A ), f sb is the steam quality, after boiler.

                5.2.12.6 Oil-Production Rate
                                           7758 bbl     S oi  S ors dV s

                                     q o 5           φ     2                         (5.130)
                                             ac ft      B o1  B os  dt
                where q o is the oil-flow rate (bbl/day), t is the time (day), V s is the volume of steam
                zone (ac ft).


                                          7758 bbl     S oi  S ors hdA s
                                     q o 5          φ      2                         (5.131)
                                            ac ft      B o1  B os  dt

                                 dA h         _ m s H s
                                     5                 G 1 t D ðfor t D # t cD Þ     (5.132)
                                                          ðÞ
                                  dt     M R T s 2 T R Þh
                                            ð

                        7758 bbl     S oi  S ors         _ m s H s
                 q o 5            φ     2        3                G 1 ðt D Þðfor t D # t cD Þ (5.133)
                          ac ft      B o1  B os      M R T s 2 T R Þ
                                                        ð

                           7758 bbl     S oi  S orhw          _ m s H s
                  q ohw 5            φ      2         3                G 1 ðt D Þðfor t D . t cD Þ
                             ac ft      B o1  B ohw       M R T s 2 T R Þ
                                                             ð
                                                                                     (5.134)
                5.2.12.7 Oil-Production Rate From Steam Zone

                          7758 bbl     S orw  S ors         _ m s H s  dG 1 ðt Ds Þ
                  q os 5            φ      2        3                        ðfor t D . t cD Þ
                            ac ft      B ow   B os     M R T s 2 T R Þ  dt
                                                          ð
                                                                                     (5.135)

                Example 5.4: Calculation of SOR using Myhill and Stegemeier Model
                Use the following steam-drive data that were reported by Myhill and Stegemeier
                [75]. The injection rate and pressure are 850 B/D and of 200 psig, respectively. The
                temperatures of the reservoir and input water are 110 and 70 F, respectively. The

                quality of the output steam is 0.8. This value is decreased to 0.7 at injection sandface.
                Determine the value of SOR using the following information:
                   Ps 5 215 psia
                   T s 5 387.9 F

                   L vdh 5 837.4 Btu/lbm
                   f sd 5 0.7
                   H wr 5 77.94 Btu/lbm at 110 F

                   h 5 32 ft
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