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Donald W. Peaceman, "Fundamentals of Numerical Reservoir Simulation (Developments in Petroleum Science)"

Over the past decade, the use of numerical reservoir simulation with highspeed electronic computers has gained wide acceptance throughout the petroleum industry for making engineering studies of a wide variety of oil and gas reservoirs throughout the world. These reservoir simulators have been designed for use by reservoir engineers who may possess little or no background in the numerical mathematics upon which they are based. Yet in spite of our best efforts t o improve numerical methods so as to make reservoir simulators as reliable, efficient, and automatic as possible, the user of a simulator is constantly faced with a myriad of decisions that have nothing to do with the problem he really wants to solve. He must decide on various numerical questions not directly germane t o the problem at hand. For example, he may have a choice among several simulators that use different numerical methods. He may have to pick an iteration method. He definitely will have to choose the grid spacing as part of the reservoir description, and probably will also have to select the time step size. And perhaps the biggest bugaboo of all is the choice of iteration parameters.

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