Page 72 - Fundamentals of Reservoir Engineering
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SOME BASIC CONCEPTS IN RESERVOIR ENGINEERING                          11

                     p i − p, then dV will be the corresponding fluid expansion, which manifests itself as
                     production.

                     The skill in engineering a high primary recovery factor, utilising the natural reservoir
                     energy, is to ensure that the dV, which is the production, is the most commercially
                     valuable fluid in the reservoir, namely, the oil. The way in which this can be done is
                     shown schematically in fig. 1.5.
                                                                    dV tot     = oil production
                                                                         = dV   + dV    + dV g
                                                                                   w
                                                                             o




                               aquifer                                             gascap
                                                                oil
                                 V w                   dV W            dV g          V g

                                                                V o


                     Fig. 1.5   Primary oil recovery resulting from oil, water and gas expansion

                     The diagram illustrates the fairly obvious fact that to produce an oil reservoir, wells
                     should be drilled into the oil zone. If the reservoir is in contact with a gascap and
                     aquifer, the oil production due to a uniform pressure drop, ∆p, in the entire system, will
                     have components due to the separate expansion of the oil gas and water, thus


                          dV TOT = Oil Production = dV o + dV w + dV g

                     in which the balance is expressed in fluid volumes at reservoir conditions. Applying
                     equ. (1.12), this may be expressed as


                          dV TOT = c o V o ∆p + c w V w ∆p + c g V g ∆p


                     Considering the following figures as typical for the compressibilities of the three
                     components at a pressure of 2000 psia:

                                          −6
                          c o =   15 × 10 /psi

                                          −6
                          c w  =   3 × 10 /psi

                                                       1
                                          −6
                          c g =  500 × 10 /psi       ≈  ; refer sec.1.5
                                                      p

                     it is evident that the contribution to dV TOT supplied by the oil and water expansion will
                     only be significant if both V o and V w, the initial volumes of oil and water, are large. In
                     contrast, because of its very high compressibility, even a relatively small volume of
                     gascap gas will contribute significantly to the oil production.
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