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470     PETROPHYSICS: RESERVOIR ROCK PROPERTIES

                                                    n





















                                 Figure 7.12. Three-layer reservoir with crossflow.


                    If the thickness also varies, Equation 7.143 becomes:


                                                                                (7.144)



                    where n  is the total number of  layers. If  the porosity, thickness,  and
                    compressibility vary from layer to layer, then:



                                                                                (7.145)


                    If  the  total  permeability-thickness product,  (kh)t,  is  known  from  a
                    pressure test, individual layer permeabilities may be estimated from the
                    following equation:

                                                                                (7.146)


                    where  qi  is  the  volumetric  rate  of  fluid  flow  through  each  layer.
                    Equation 7.146 is valid only if the individual skin factors are all equal
                    or negligible.

             LAYERED RESERVOIRS WITHOUT CROSSFLOW

                      In many oil and gas pools, the reservoir rocks are interbedded with
                    impermeable  shales beds  and  silt  laminations,  such  that  there  is  no
                    crossflow between the oil- and gas-saturated sand beds.
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