A general single-phase flow model that rigorously couples flow in the reservoir with flow in the wellbore is presented. The model can be applied to a parallelepiped drainage domain consisting of any number of wells containing any number of laterals of arbitrary con- figurations. The fluid is assumed to be slightly compressible, and gravity head is included. Reservoir inflow for the entire time period (from early transient to late pseudosteady state) is handled in the coupling model by integrating the instantaneous point source/sink solution over both time and space.
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