Page 94 - Fundamentals of Reservoir Engineering
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SOME BASIC CONCEPTS IN RESERVOIR ENGINEERING                          33

                     (the latter point has not been discussed so far, since it requires the development of well
                     inflow equations, which will be described in Chapter 8). The results of such a study can
                     give initial guidance on the best way to develop the gas reserve.

                     EXERCISE 1.2 GAS MATERIAL BALANCE


                     The following data are available for a newly discovered gas reservoir:
                          GWC                   =   9700 ft

                          Centroid depth        =   9537 ft

                                                              10
                          Net bulk volume (V) =     1.776 × 10  cu.ft
                          φ     =   0.19

                          S wc  =   0  20
                          γ g   =   0.85

                     Although a gas sample was collected during a brief production test the reservoir
                     pressure was not recorded because of tool failure. It is known, however, that the water
                     pressure regime in the locality is

                          p w = 0.441D + 31 psia

                     and that the temperature gradient is 1.258°F/100 ft, with ambient surface temperature
                     80° F.

                     1)   Calculate the volume of the GIIP.

                     2)   It is intended to enter a gas sales contract in which the following points have
                          been stipulated by the purchaser.

                          a)    during the first two years, a production rate build-up from zero
                                −100 MMscf/d (million) must be achieved while developing the field
                          b)    the plateau rate must be continued for 15 years at a sales point delivery
                                pressure which corresponds to a minimum reservoir pressure of 1200 psia.
                                Can this latter requirement be fulfilled? (Assume that the aquifer is small so
                                that the depletion material balance equation can be used).

                     3)   Once the market requirement can no longer be satisfied the field rate will decline
                          exponentially by 20% per annum until it is reduced to 20 MMscf/d. (This gas will
                          either be used as fuel in the company's operations or compressed to supply part
                          of any current market requirement).

                     What will be the total recovery factor for the reservoir and what is the length of the
                     entire project life?

                     EXERCISE 1.2 SOLUTION


                     a)   In order to determine the GIIP it is first necessary to calculate the initial gas
                          pressure at the centroid depth of the reservoir. That is, the depth at which there is
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