Abstract
We propose an optimization model to minimize the gap between predicted conveyance tension and measured field data for friction coefficients calibration. This is an oracle optimization problem since the objective function relies on a complex numerical computing engine to simulate the downhole context. To tackle the NP-hardness in computation complexity, we introduce an improved formulation by representing the residue as function of friction coefficients to reduce the number of parameters and a new stochastic direction descent (SDD) method to avoid locally optimal solutions. Numerical experiments on various field cases are presented to validate this optimization framework. It shows that SDD method is efficient comparing to grid, bisection, and simplex algorithms. Our study is useful in optimization tasks in complex industrial systems architecture & engineering, where objective functions are very costly or slow to evaluate.
Can Jin, Xin Peng: Authors contributed equally to this work.
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Appendices
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Search Methods
Grid search. The grid method is one of the simplest search method that explores the parameter settings using a grid. It can help us visualize function lanscape and is currently the most widely used method for global optimization.
Bisection search. The bisection method is one of reliable, easy to implement, and convergence method. It is well-known in finding real root of non-linear equations and can be extended to solve optimization problem.
Simplex search. Simplex method is a classical derivative-free optimization algorithm which depends on the comparison of function values at a general simplex, followed by the replacement of the worst vertex by another point [8, 9]. It is more efficient than the grid method and bisection method [10,11,12].
Supplementary Figures
See Figs. 6, 7, 8, 9, 10, 11, 12 and 13.
The plan tension curves of simplex solution based on model 1 and model 2 in case 1
The plan tension curves of simplex solution based on model 1 and model 2 in case 2
The plan tension curves of simplex solution based on model 1 and model 2 in case 3
The plan tension curves of simplex solution based on model 1 and model 2 in case 4
The plan tension curves of simplex and SDD solution based on model 2 in case 2
The plan tension curves of simplex and SDD solution based on model 2 in case 3
The plan tension curves of simplex and SDD solution based on model 2 in case 4
The plan tension curves of simplex and SDD solution based on model 2 in case 5
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Jin, C. et al. (2021). An Optimization Method for Calibrating Wireline Conveyance Tension. In: Krob, D., Li, L., Yao, J., Zhang, H., Zhang, X. (eds) Complex Systems Design & Management . Springer, Cham. https://doi.org/10.1007/978-3-030-73539-5_13
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DOI: https://doi.org/10.1007/978-3-030-73539-5_13
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