Multi-objectives fuzzy models for desingning 3D trajectory in horizontal wells

Authors:
Weiyi Qian;Enmin Feng
Affiliations:
Department of Applied Mathematics, Dalian University of Technology, Dalian, 116023, P. R. China and Department of Mathematics, Bohai University, Jinzhou, 121003, P. R. China;Department of Applied Mathematics, Dalian University of Technology, Dalian, 116023, P. R. China
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2004

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Abstract

In this paper, multi-objective models for designing 3D trajectory of horizontal wells are developed in a fuzzy environment. Here, the objectives of minimizing the length of the trajectory and the error of entry target point are fuzzy in nature. Some parameters, such as initial value, end value, lower bound and upper bound of the curvature radius, tool-face angle and the arc length of each curve section, are also assumed to be vague and imprecise. The impreciseness in the above objectives have been expressed by fuzzy linear membership functions and that in the above parameters by triangular fuzzy numbers. Models have been solved by the fuzzy non-linear programming method based on Zimmermann [1] and Lee and Li [2]. Models are applied to practical design of the horizontal wells. Numerical results illustrate the accuracy and efficiency of the fuzzy models.