Page 59 - Fundamentals of Reservoir Engineering
P. 59

NOMENCLATURE

               ENGLISH                                         G     wellbore liquid gradient (McKinley after-flow
                                                                     analysis, ch. 7)
               A   area                                        G a   apparent gas in place in a water drive gas
               B   Darcy coefficient in stabilized gas  well         reservoir (ch. 1)
                   inflow equations (ch. 8)                    G p   cumulative gas production
               B g  gas formation volume factor                h     formation thickness
               B o  oil formation volume factor                h p   thickness of the perforated interval
               B w  water formation volume factor              H     total height of the capillary transition zone
               c   isothermal compressibility                  J     Bessel function (ch. 7)

               c e  effective compressibility  (applied to  pore  J  Productivity index
                   volume)                                     k     absolute permeability (chs. 4,9,10)
               c f  pore compressibility                       k     effective permeability (chs. 5,6,7,8)
               c t  total  compressibility (applied to pore    k r   relative  permeability  obtained by normal-
                   volume)                                           izing the effective  permeability  curves  by
                                                                     dividing by the absolute permeability
               c   total aquifer compressibility (c w+c f)
               C   arbitrary constant of integration             r k  thickness averaged relative permeability
               C   coefficient in gas  well back-pressure      k′ r  end point relative permeability
                   equation (ch. 8)                            k     iteration counter
               C   pressure buildup correction factor (Russell  K r  relative  permeability  obtained  by
                   afterflow analysis ch. 7)                         normalizing  the  effective  permeability
               C A  Dietz shape factor                               curves  by dividing by the end  point
                                                                     permeability to oil (ch. 4)
               D   non-Darcy flow constant appearing in rate
                   dependent skin (ch. 8)                      I     length
               D   vertical depth                              L     length
               e   exponential                                 m     ratio of the initial hydrocarbon pore volume
               ei  exponential integral function                     of the gascap  to that of  the  oil  (material
                                                                     balance equation)
               E   gas expansion factor                        m     slope of the early, linear section of pressure
               E f,w term in the material  balance  equation         analysis plot of pressure (pseudo pressure)
                   accounting  for  the expansion of  the            vs. f(time), for pressure buildup, fall-off or
                   connate water and  reduction  in pore             multi-rate flow test
                   volume                                      m(p)  real gas pseudo pressure
               E g  term in the material  balance  equation    m′(p) pseudo pressure  for two phases (gas-oil)
                   accounting  for  the expansion of  the            flow
                   gascap gas
               E o  term in the material  balance  equation    M     end point mobility ratio
                   accounting  for  the expansion of  the oil  M     molecular weight
                   and its originally dissolved gas            M s   shock front mobility ratio
               f   fraction                                    n     reciprocal of the slope of the gas well back
               f   fractional flow of any fluid in the reservoir     pressure equation (ch. 8)
               f   function;  e.g.  f(p) - function of the     n     total number of moles
                   pressure                                    N     stock tank oil initially in place (STOIIP)
               F   cumulative  relative gas volume  in PVT     N p   cumulative oil production
                   differential liberation experiment (ch. 2)
                                                               N pd  dimensionless cumulative oil production (in
               F   non-Darcy coefficient in gas flow equation        pore volumes)
                   (ch. 8)
                                                               N pD  dimensionless cumulative oil production (in
               F   production  term in the material  balance         moveable oil volumes)
                   equation (chs. 3,9)                         p     pressure
               F    wellbore parameter in McKinley afterflow         average pressure in aquifer (ch. 9)
                    analysis (ch. 7)                           p a
                                                               p b   bubble point pressure
               g    acceleration due to gravity
               g    function; e.g.- g(p) function of pressure  p c   critical pressure
               G    gas initially in place – GIIP              p d   dynamic grid block pressure
                                                               p D   dimensionless pressure
               G   gravity number (ch. 10)
                                                               p e   pressure at the external boundary
                                                               p i   initial pressure
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