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Modeling Fluid Flow Around Horizontal Wellbores

  • Sep 23, 1990
  • S O Norris +1 more
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Abstract

Abstract Modeling fluid flow around horizontal wellbores with conventional reservoir simulators is somewhat inefficient due to the fact that the radial flow patterns found in the vicinity of the wellbore must be simulated with rectangular coordinate grid-blocks. In this research, we present an efficient hybrid grid model for horizontal well simulation by incorporating radial gridblocks to simulate the radial fluid flow around the wellbore and introduce the concept of spherical gridblocks to model fluid flow around the end of the well. This configuration can dramatically reduce the number of grid-blocks (and therefore computer time) required to accurately simulate the physical model. The spherical gridblocks consist of hemispheres, corresponding to each radii in the cylindrical coordinate system region, which are intersected by planes that allow coupling to the reservoir region gridblocks. Transmissibilities for the spherical gridblocks are calculated by use of the integrated finite difference method. Two problems from the literature were chosen to demonstrate the effectiveness of the model. The first problem is a one-phase, constant rate pressure drawdown test for which an analytical solution is available. The second problem is a water cresting problem where the results for comparison were obtained from a commercial reservoir simulator using a grid that reportedly minimized numerical dispersion.

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