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

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

  1. Fuzzy Set and Systems v.1 Fuzzy linear programming with several objective functions H. J. Zimmermann
  2. Fuzzy Set and Systems v.53 Fuzzy multiple objective programming and compromise programming with Pareto optimum E. S. Lee;R. J. Li
  3. SPE Drilling and completion v.13 Well design using a computer model M. W. Helmy
  4. Oil and Gas Journal v.96 Mathematical technique improves directional well-path planning R. L. Rudolf
  5. SPE Asia Pacific Improved Oil Recovery conference A new method for designing 3D trajectory in sidetracking horizontal wells under multi-constraints S. Z. Jiang
  6. Management Science v.17 Decision-making in a fuzzy envionment R. E. Bellman;L. A. Zadeh
  7. Journal of Cybernetice v.3 On fuzzy mathematical programming H. Tanaka;K. Asai
  8. International Journal of General Systems v.2 Description and optimization of fuzzy systems H. J. Zimmermann
  9. Computers and Industrial Engineering v.19 Optimization of project network with goal programming and fuzzy linear programming E. L. Deporter;K. P. Ellis
  10. Fuzzy Sets and Systems v.50 Fuzzy programming approach to multi criteria decision making transportation problem A. K. Bit;M. P. Biswal;S. S. Alam
  11. European Journal of Operational Research v.10 A fuzzy programming approach to an air pollution regulation problem G. Sommer;M. A. Pollatschek
  12. Computers and Operations Research v.25 Multi-objective inventory models of deteriorating items with some constraints in a fuzzy environment T. K. Roy;M. Maiti
  13. Journal of Applied Mathematics and Computing v.12 no.2 An economic production quantity inventory model involving fuzzy demand rate and fuzzy deterioration rate Sujit Kumar De;P. K. Kundu;A. Goswami
  14. Journal of Applied Mathematics and Computing (old KJCAM) v.6 no.2 Production planning in fuzzy environment Ali. Vahidian;Hamed R. Tareghian
  15. Computers and Industrial Engineering v.44 Multi-item fuzzy EQQ modrls using genetic algorithm S. Mondal;M. Maiti
  16. Uniform Design and Uniform Design Tables K. T. Fang