Page 303 - Principles of Applied Reservoir Simulation 2E
P. 303

288  Principles of Applied  Reservoir Simulation

        The top layer (K =  1) is shown. The second  layer (K = 2) is below the K = 1
        layer, and so on. The top of each gridblock may vary from one block to another.
        This  allows the  model to perform calculations  using  grid  representations  of
        reservoirs  ranging  from  flat  layer cake models to  dipping  structures  such as
        anticlines and domes. An anticlinal structure is shown in Figure 27-2.







                                                          D -6200-60001
                                                          D-6400-6200
                                                          • -6600-6400
                                                          •-6800-6600
                                            North - South




             Figure 27-2. Depth to top of anticlinal  structure.




                             27.3  Petrophysical Model

             Monitoring changes  in the seismic  characteristics  of a reservoir  as the
        reservoir  is  produced  is  the  basis  of  time-lapse  (4D) seismic  monitoring
        [Anderson, etal., 1995; He, etal., 1996; Fanchi, etal. 1999]. Changes in seismic
        characteristics are determined in WINB4D by calculating seismic attributes as
        a function  of time. The seismic  attributes  calculated in WINB4D are  defined
        below.


        (  ompressional and Shear Velocities
             Seismic  compressional velocity and shear  velocity  are calculated  from
        the expressions  [Scho'n,  1996; McQuillin, et al.,  1984]:


                                      '*  +  ty*
                                      "    3__                      (27.11)

                                        P B
        and
   298   299   300   301   302   303   304   305   306   307   308