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High Performance Computing
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The gridding techniques, discretization methods, model development,
and visualization are only as good as the computing power available.
The demands of reservoir engineers to increase the
complexity of their models has always grown with the availability of
computing power. Innovations in parallel techniques have allowed
engineers to go from only tens of reservoir cells in the 1960's to
tens of millions of cells today. These techniques cover domain
decomposition, efficient message-passing strategies, and enhanced
linear equation solver formulations.
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Pittsburgh Super Computer `LeMieux'
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Excellent parallel performance is obtained not only on conventional,
sophisticated parallel UNIX machines (such as the Pittsburgh Super Computer facilities), but also on clusters of
PC's. Obtaining a cluster of PC's can be relatively inexpensive, and the Math Department is building such a system called SCREMS.
However due to the problem of the explosion of information for
reservoir simulators, there will continually be a need for further
improvements in high performance computing.
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There are other issues which should be continually addressed.
Parallel linear equation solvers should be improved, especially for
fully-implicit formulations; tubing hydraulics, surface facilities and
pipeline networks should be better incorporated into the overall
parallelization process; and static and dynamic load balancing should
be optimized to take full advantage of any parallel simulation.
Conclusions
Research in many areas of applied mathematics can help with the
current energy crisis. The problems in the oil industry are all
interconnected: the grids are only as good as the discretization
methods; the choice of discretization method may depend on the
computing power available; and accurate predictions of future behavior
rely on good optimization techniques as well as good gridding,
discretizations, and models. Applied mathematics can really help
extract energy in an environmental and efficient manner and can
contribute to the design of the next generation of reservoir
simulators.
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