Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

MULTI-OBJECTIVES FUZZY MODELS FOR DESIGNING 3D TRAJECTORY IN HORIZONTAL WELLS

  • Qian, Weiyi (Department of Applied Mathematics, Dalian University of Technology) ;
  • Feng, Enmin (Department of Applied Mathematics, Dalian University of Technology)
  • Published : 2004.05.01

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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.

Keywords

References

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