A new mathematical and intelligent computer system for the optimal design of horizontal wells gravel-packing was developed. The mathematical models in this computer system were established by the use of non-Newtonian fluid flow and fluid-solid two phase equilibrium characteristics in the tailpipe-screen annulus and the open channel above an equilibrium bank of the horizontal well. A new propagation algorithm based on Grey and fuzzy theory was used to construct the inference engine of the computer system to give the sanding potentials assessment of a poorly lithified or uncemented sandstone formation. This computer system can be used to predict the flow velocity of the carrying fluid, the pressure distribution of the flow field, the concentration distribution of the gravel sand and the packing efficiency. So, this system can be easily used for the optimal design of horizontal wells gravel-packing. A practical application example was introduced and rather satisfactory results were obtained.

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