Page 295 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2
P. 295

262   Reservoir Engineering


                    where  I  is  the  constant fraction of  the  produced gas which  is  reinjected into
                    the oil  reservoir, B,   is  the  oil formation volume factor at bubblepoint  con-
                    ditions, R is the producing gas-oil ratio, the subscripts 1 and 2 refer to the time
                    increments at p1 and ps, the other standard terms are as already defied, and
                    Ra,v is (R, + %)/2.  As  given in Table 5-34, the instantaneous gas-oil ratio, R,  is:


                                                                                 (5-202)


                    where  R,  is  the  solution gas4 ratio,  B  is formation volume factor, k  is  per-
                    meability, p is  viscosity, and  the  subscripts  o  and  g  refer  to  oil  and  gas,
                    respectively.  The relative permeabilities  are  determined  at  the  total  liquid
                    saturation, S,:
                                             (N-N,) -
                                                      Bo
                      s, = s,  +so = s, +(l-S,)                                  (5-203)
                                                N     Bob
                    The simultaneous solution of  these three equations will provide estimates of oil
                    produced at any  chosen conditions for a dispersed-gas-drive injection project.
                    Additional details can be found in Reference 254.
                      Many of the flow equations and concepts for immiscible gas displacement are
                    similar to those that will be presented later for waterflooding. Because of  the
                    importance  of. water  injection  processes in  U.S. operations,  waterflooding
                    concepts will  be emphasized.

                                               Water Injection
                      Water  injection processes  may  be  designed  to:  (1) dispose of brine  water,
                    (2) conduct  a  pressure  maintenance project  to  maintain  reservoir  pressure
                    when  expansion of  an aquifer or gas cap is  insufficient to  maintain pressure,
                    or (3) implement a water drive or waterflood of oil after primary recovery. As
                    mentioned before, waterflooding is  the  dominant secondary recovery process
                    which accounts for about 50% of  the current oil production in U. S. operations.
                    Because of the importance of waterflooding, fluid displacement in waterflooded
                    reservoirs is  covered as a separate discussion in a later section.

                                     Spacing of Wells and Well  Patterns
                    Spacing of  Wells

                      One section (one sq mile  or  5,280 ft by 5,280  ft) is 640  acres. If  wells  are
                    drilled evenly  such that each well  is  theoretically assigned to drain 40  acres,
                    the  16 wells  per section would  be as spaced as in Figure 5-148. Each 40  acres
                    (v4 mile by  '/4  mile  or  1,320 ft by 1,320 ft) would  contain  40  x  43,560  or
                    1,742,400 ft2. The  10-acre region in Figure 5-148 would measure 660 ft by 660
                    ft and would  contain  435,000 ft*. Similarly, a  20-acre region  would  contain
                    871,200 ft* and would  measure [20 x  871,200]1/4 or 933.4  ft by 933.4 ft.
                      In many parts of the United States, 40-acre spacing or less is common for oil
                    wells, and 160-acre  or 320-acre spacing is common for gas wells. Because drilling
                    costs increase considerably with depth, deeper wells may be on larger spacing.
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