Page 177 - Principles of Applied Reservoir Simulation 2E
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162  Principles of Applied  Reservoir Simulation


       jector and each  other,  the grid  orientation  altered  the expected flow pattern,
        Figure  16-6 shows the effect  on frontal  advance. In this case, the front  arrives
        sooner at the producer  in the upper right than the producer  in the upper left. If
        these results are incorporated  in a reservoir management plan, they can reduce
       the overall effectiveness of the plan.




















                  Figure 16-6. Grid orientation effect (after Hegre, et al.
                  1986;  reprinted  by  permission  of  the  Society  of
                  Petroleum Engineers).

             Another example of the grid orientation effect  arises in connection with
       the modeling of pattern floods.
       Figure 16-7 illustrates two grids
       that can be used to model flow
       in a five-spot pattern. The paral-
       lel grid results in earlier break-
       through of  injected  fluids than
       the  diagonal  grid.  This  effect
       can  be  traced  to  the  finite
       difference  representation of the
       fluid flow equations.
             Most  finite  difference
       simulators  only  account  for  Figure 16-7. Parallel and diagonal grids (after
                                        d
                                                 9 2; r rinted
       flow   contributions from blocks T° .' *  al  1 ^ f   ^ Permission of
                                  the Society of Petroleum Engineers).
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