Page 100 - Fundamentals of Reservoir Engineering
P. 100

SOME BASIC CONCEPTS IN RESERVOIR ENGINEERING                          39

                     Thus if n pound moles of liquid have been produced, of molecular weight M, then the
                     total mass of liquid is

                          nM = γ oρ w × (liquid volume)

                     where γ o is the oil gravity (water = 1), and ρ w is the density of water (62.43 Ib/cu.ft).
                     Since liquid hydrocarbon volumes are generally measured in stock tank barrels
                     (1 bbl = 5.615 cu.ft), then the number of pound moles of liquid hydrocarbon produced in
                     N p stb is

                                     γ o N p
                           n =  350.5
                                       M

                     Expressing this number of moles of hydrocarbon as an equivalent gas volume at
                     standard conditions, gives

                                        nRT            γ N   10.732 520
                                                                    ×
                                  V =       sc  =  350.5  o  p  ×
                                   sc
                                         p sc           M        14.7
                                                 γ o N p
                           or     V =   1.33 10 5
                                            ×
                                   sc
                                                   M
                     The correction in adding the equivalent gas volume to the cumulative gas production is
                     generally rather small, of the order of one percent or less, and is sometimes neglected.
                     If the initial reservoir pressure and temperature are such that the gas is at point C,
                     fig. 1.15(a), then during isothermal depletion liquid will start to condense in the
                     reservoir when the pressure has fallen below the dew point at D.

                     The maximum liquid saturation deposited in the reservoir, when the pressure is
                     between points D and E in the two phase region, is generally rather small and
                     frequently is below the critical saturation which must be exceeded before the liquid
                     becomes mobile. This phenomenon is analogous to the residual saturations, discussed
                     previously, at which flow ceases. Therefore, the liquid hydrocarbons deposited in the
                     reservoir, which are referred to as retrograde liquid condensate, are not recovered and,
                     since the heavier components tend to condense first, this represents a loss of the most
                     valuable part of the hydrocarbon mixture. It may be imagined that continued pressure
                     depletion below the dew point at E would lead to re-vapourisation of the liquid
                     condensate. This does not occur, however, because once the pressure falls below
                     point D the overall molecular weight of the hydrocarbons remaining in the reservoir
                     increases, since some of the heavier paraffins are left behind in the reservoir as
                     retrograde condensate. Therefore, the composite phase envelope for the reservoir
                     fluids tends to move downwards and to the right thus inhibiting re-vapourisation.

                     It is sometimes economically viable to produce a gas condensate field by the process
                     of dry gas re-cycling. That is, from the start of production at point C, fig. 1.15(a),
                     separating the liquid condensate from the dry gas at the surface and re-injecting the
                     latter into the reservoir in such a way that the dry gas displaces the wet gas towards
                     the producing wells. Since only a relatively small amount of fluid is removed from the
                     reservoir during this process, the pressure drop is small and, for a successful project,
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