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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5590

Title: Optimal Spline Based Gas-Lift Allocation Using Lagrange's Multiplier
Authors: Ntherful, Ewireko Godfrey
Issue Date: 29-Jun-2013
Abstract: An accurate prediction of the production rate of uids from a reservoir to the surface is essential for e cient arti cial lift application in an oil eld. In an oil production eld, a group of wells can be put under gas lift operation. For each well, there will be an optimum point of gas injection and oil production rate where the incremental oil production rate relative to an incremental gas injection rate should be equal for all wells in the eld. The optimum point for a given group of wells was found by Jamal (2001) using the application of Lagrange Multipliers. An approach that depends on the functional relationship between oil production and gas injection rates. Two types of functions, quadratic and rational functions were used to t the gas injection against oil production data. This thesis used spline based functions to t the gas injection verses oil production data. Gasin, oil-out data t with spline based function produced better results than both the rational function and quadratic function with regard to both data t and resultant total optimum oil rate. The two methods used in this thesis were able to increase the total oil production. However the total optimum oil production rate for data tting with the spline based function is found to be higher than the total optimum oil production rate for data tting with rational function. The optimal value of the spline based function was found to be twice that of the rational function.
Description: A Thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial ful llment of the requirements for the degree of Master of Philosophy in Applied Mathematics, June-2013
URI: http://hdl.handle.net/123456789/5590
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