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146  Principles of Applied  Reservoir Simulation


        usually  consists  of  a  multivariable  table  relating  surface  pressure  to  such
        parameters as flow rate and GOR. The tables are often calculated using a separate
        program that performs a nodal analysis of wellbore flow. Well models typically
        assume that fluid phases  are folly dispersed  and that the block containing the
        well is perforated  throughout  its thickness.  Some commercial  simulators will
        let the user specify  a perforation interval under certain  conditions,
             The different types of well controls include production and injection well
        controls, and group and field controls for a surface model. The production well
        model assumes the user specifies one option as the primary control, but may also
        specify  other  options  as  targets  for  constraining  the  primary  control.  For
        example,  if oil rate  is the  primary  control,  then the  produced  GOR may  be
        restricted so that the oil rate is decreased when GOR exceeds the specified value.
        This provides a more realistic representation of actual field practice.
             Injection well controls assume that initial injection well mobility is given
        by total gridblock mobility. This makes it possible to inject a phase into a block
        that would otherwise have zero relative permeability to flow.
             Allocation of fluids in a well model depends on layer flow capacity and
        fluid  mobility.  The  fluid  allocation  procedure  in  WINB4D  is  discussed  in
        Chapter 30. Simulators can also describe deviated or horizontal wells depending
        on how the well completions and parameters  are specified.
             Well, group and field controls can be specified in commercial simulators
        with a surface facilities model. The user specifies a hierarchy of controls that
        most realistically represent how the field is being operated. For example, well
        production may be constrained by platform separator and storage capacity, which
        in turn is constrained by pipeline flow capacity. The ability to integrate reservoir
        and surface flow technology using a single simulator is an area of research that
        is receiving increasing attention [for example, see Heinemann, et al.,  1998].


                         15.4 Simulator Solution  Procedures

             Fluid flow equations are a set of nonlinear partial differential equations
        that must be solved by computer. The partial derivatives are replaced with finite
        differences, which are in turn derived from Taylor's series [for example, see Aziz
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