Numerical simulators have proven to be viable tools for studying dynamic systems and providing accurate predictions. When combined with the advanced capability of modern computers, the flexibility of the numerical approach allows a wide array of variables to be investigated that otherwise would be limited by time, safety, or cost. Previous attempts at simulating gravel packing have yielded less than desirable results. This paper provides a comprehensive review of previous models and describes the mathematical development of a full scale, three-dimensional, gravel pack simulator.

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