Page 60 - Fundamentals of Reservoir Engineering
P. 60

NOMENCLATURE                                       LX


               p pc  pseudo critical pressure                  S or  residual oil saturation to water
               p pr  pseudo reduced pressure                   S w  water saturation
               p sc  pressure at standard conditions           S wc  connate (or irreducible) water saturation
               p wf  bottom hole flowing pressure              S wf  water saturation at the flood front
               p wf(1hr) bottom hole flowing pressure  rec-orded    thickness average water saturation
                     one hour after the start of flow           S w
               p ws  bottom hole static pressure                S w  volume averaged water saturation behind an
               p ws(LIN) (hypothetical) static pressure on  the     advancing flood front
                     extrapolation of the early linear trend of  t  reciprocal pseudo reduced temperature
                     the Horner buildup plot                        (T pc/T)
               p     average pressure                          t    time
               p *   specific value of p ws(LIN) at  infinite  t D  dimensionless time
                     closed-in time                                                     2
                                                               t DA  dimensionless time (=t Dr /A)
                                                                                        w
               ∆p    pressure drop
                                                               ∆t   closed-in time during a pressure buildup
                                                               ∆t s  closed-in time during a build-up at which
               N.B.  the  same subscripts/superscripts, used
                     to  distinguish  between the above             p ws(LIN) = p
                     pressures, are also used in conjunction   ∆t d  closed in time during a buildup at which
                     with pseudo pressures,  hence:  m(p i);        p ws(LIN) = pd
                     m(p wf); m(p ws(LIN)); etc.
                                                               T    absolute temperature
                                                               T    transmissibility (McKinley afterflow analysis,
               P c   capillary pressure                             ch. 7)
               P c °  pseudo capillary pressure                T c  critical temperature
               q     production rate                           T pc  pseudo critical temperature
               q i   injection rate                            T pr  pseudo reduced temperature
               Q     gas production rate                       u    Darcy velocity (q/A)
               r     radial distance                           U    aquifer constant
               r e   external boundary radius                  v    velocity
               r D   dimensionless radius= r/r w (chs. 7,8)    v g  relative gas volume, differential liberation
                                                                    experiment
                                      = r/r o (ch. 9)
                                                               V    volume
               r eD  dimensionless radius= r e/r w (chs. 7,8)  V    net bulk volume of reservoir
                                      = r e/r o (ch. 9)             pore volume (PV)
               r h   radius  of the heated  zone  around  a    V f
                     steam soaked well                         V g  cumulative relative gas volume (sc),
                                                                    differential liberation PVT experiment
               r o   reservoir radius                          w    width
               r w   wellbore radius
                                                               W D  dimensionless cumulative water influx (ch. 9)
               r′ w  effective wellbore radius taking account
                                              -s
                     of the mechanical skin (r′ w = r we )     W e  cumulative water influx
               R     producing (or  instantaneous) gas  oil    W ei  initial amount of encroachable water in an
                     ratio                                          aquifer; W ei=c W ip i (ch. 9)
               R     universal gas constant                    W i  initial volume of aquifer water (ch. 9)

               R p   cumulative gas oil ratio                  W i  cumulative water injected (ch. 10)
               R s   solution (or dissolved) gas oil ratio     W id  dimensionless cumulative water injected
               S     mechanical skin factor                         (pore volumes)
               S     saturation (always expressed as a         W iD  dimensionless cumulative water injected
                     fraction of the pore volume)                   (moveable oil volumes)

               S g   gas saturation                            W p  cumulative water produced
               S gr  residual gas saturation to water          y    reduced density, (Hall-Yarborough
                                                                    equations, ch. 1)
               S o   oil saturation
                                                               Z    Z-factor
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