3 research outputs found

    Optimization of Oil Field Development Plan Using Multiple Local Optima

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    ํ•™์œ„๋…ผ๋ฌธ (์„์‚ฌ)-- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› : ๊ณต๊ณผ๋Œ€ํ•™ ์—๋„ˆ์ง€์‹œ์Šคํ…œ๊ณตํ•™๋ถ€, 2018. 8. ์ตœ์ข…๊ทผ.์ตœ๋Œ€ํ•œ์˜ ์ด์ต์„ ์ฐฝ์ถœํ•˜๋Š” ์œ ์ „๊ฐœ๋ฐœ๊ณ„ํš์„ ์„ธ์šฐ๊ธฐ ์œ„ํ•ด์„œ๋Š” ์ฃผ์ž…์ •๊ณผ ์ƒ์‚ฐ์ •์˜ ์œ„์น˜, ์šด์˜์กฐ๊ฑด, ์ƒ์‚ฐ๊ธฐ๊ฐ„ ๋“ฑ์„ ์ตœ์ ํ™”ํ•˜์—ฌ์•ผ ํ•œ๋‹ค. ์ด๋Ÿฌํ•œ ๋ณ€์ˆ˜๋“ค์— ๋Œ€ํ•ด ์ตœ์ ํ™” ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ์ ์šฉํ•˜๋ฉด ์ง€์—ญ์ตœ์ ํ•ด์— ์ˆ˜๋ ดํ•˜์—ฌ ๋” ์ข‹์€ ์กฐ๊ฑด์„ ๊ฐ€์ง„ ์œ ์ „๊ฐœ๋ฐœ๊ณ„ํš์„ ์„ ํƒํ•˜์ง€ ๋ชปํ•  ์ˆ˜ ์žˆ๋‹ค. ๋ณ€์ˆ˜๋“ค์— ๋Œ€ํ•ด ๊ด‘์—ญ์ ์œผ๋กœ ํƒ์ƒ‰ํ•œ ๋’ค ์–ป์€ ํ•ด๋“ค์„ ์ง€์—ญ์ ์œผ๋กœ ํƒ์ƒ‰ํ•˜๋ฉด ์ด ํ•œ๊ณ„๋ฅผ ๊ทน๋ณตํ•  ์ˆ˜ ์žˆ๋‹ค. ๊ด‘์—ญํƒ์ƒ‰ ์•Œ๊ณ ๋ฆฌ์ฆ˜์€ ์ˆ˜๋ ด์†๋„๋Š” ๋Š๋ฆฌ์ง€๋งŒ ๊ด‘์—ญ์ ์œผ๋กœ ํ•ด๋ฅผ ํƒ์ƒ‰ํ•˜๊ณ , ์ง€์—ญํƒ์ƒ‰ ์•Œ๊ณ ๋ฆฌ์ฆ˜์€ ์ˆ˜๋ ด์†๋„๋Š” ๋น ๋ฅด์ง€๋งŒ ์ง€์—ญ์ตœ์ ํ•ด์— ์ˆ˜๋ ดํ•  ์ˆ˜ ์žˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ๋Š” ๋‘ ์•Œ๊ณ ๋ฆฌ์ฆ˜์˜ ์žฅ์ , ๊ด‘์—ญํƒ์ƒ‰๋Šฅ๋ ฅ๊ณผ ๋น ๋ฅธ ์ˆ˜๋ ด์†๋„๋ฅผ ๊ฒฐํ•ฉํ•˜์˜€๊ณ  ๋‹ค์ˆ˜์˜ ๊ด‘์—ญํ•ด๋“ค์— ๋Œ€ํ•ด ์ง€์—ญํƒ์ƒ‰์„ ์ˆ˜ํ–‰ํ•จ์œผ๋กœ์จ ์ง€์—ญ์ตœ์ ํ•ด์— ์ˆ˜๋ ดํ•˜๋Š” ํ•œ๊ณ„๋ฅผ ๋ณด์™„ํ•˜์˜€๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๊ด‘์—ญํƒ์ƒ‰ ์•Œ๊ณ ๋ฆฌ์ฆ˜์˜ ํ•˜๋‚˜์ธ DE(Differential Evolution) ์•Œ๊ณ ๋ฆฌ์ฆ˜, ์ง€์—ญํƒ์ƒ‰ ์•Œ๊ณ ๋ฆฌ์ฆ˜์˜ ํ•˜๋‚˜์ธ MADS(Mesh Adaptive Direct Search), ๊ทธ๋ฆฌ๊ณ  ๋‘ ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ๊ฒฐํ•ฉํ•œ ์ œ์•ˆ๋œ ๋ฐฉ๋ฒ•์˜ ์ตœ์ ํ™” ๊ฒฐ๊ณผ๋ฅผ ๋น„๊ตํ•˜์˜€๋‹ค. ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ํšŸ์ˆ˜์— ๋”ฐ๋ฅธ, ํƒ์ƒ‰๋œ ์ˆœํ˜„์žฌ๊ฐ€์น˜์˜ ๋ณ€ํ™”์™€ ๋ถ„ํฌ๋ฅผ ๋น„๊ตํ•˜์—ฌ ์—ฐ๊ตฌ๊ฒฐ๊ณผ๋ฅผ ๊ฒ€์ฆํ•˜์˜€๋‹ค. ์ œ์•ˆ ๋ฐฉ๋ฒ•์€ ๋น ๋ฅด๊ณ  ์•ˆ์ •์ ์œผ๋กœ ์ตœ์ ์˜ ์œ ์ •์œ„์น˜, ์šด์˜์กฐ๊ฑด, ์ƒ์‚ฐ๊ธฐ๊ฐ„์„ ์ฐพ์œผ๋ฉฐ ์ง€์—ญ์ตœ์ ํ•ด์—์„œ ๋ฒ—์–ด๋‚˜ ๊ด‘์—ญ์ตœ์ ํ•ด๋ฅผ ํƒ์ƒ‰ํ•œ๋‹ค.๋ชฉ ์ฐจ ์ œ 1 ์žฅ ์„œ๋ก  01 1.1 ์—ฐ๊ตฌ๋ชฉ์  01 1.2 ๊ธฐ์กด์—ฐ๊ตฌ 05 ์ œ 2 ์žฅ ์ด๋ก ์  ๋ฐฐ๊ฒฝ 09 2.1 ์œ ์ „๊ฐœ๋ฐœ๊ณ„ํš ์ตœ์ ํ™”์™€ ๊ฒฝ์ œ์„ฑํ‰๊ฐ€ 09 2.2 Differential Evolution ์•Œ๊ณ ๋ฆฌ์ฆ˜ 11 2.3 Mesh Adaptive Direct Search ์•Œ๊ณ ๋ฆฌ์ฆ˜ 15 2.4 DE-MADS-N 20 ์ œ 3 ์žฅ ์ œ์•ˆ๋ฐฉ๋ฒ•์˜ ์ ์šฉ ๋ฐ ๊ฒ€์ฆ 24 3.1 ์ €๋ฅ˜์ธต๋ชจ๋ธ ์ •์˜ ๋ฐ ์ตœ์ ํ™” ๋ณ€์ˆ˜ 24 3.2 ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ˆ˜ํ–‰๊ฒฐ๊ณผ ๋น„๊ต 33 ์ œ 4 ์žฅ ๊ฒฐ๋ก  53 ์ฐธ๊ณ ๋ฌธํ—Œ 55 Abstract 59Maste

    Reservoir Flooding Optimization by Control Polynomial Approximations

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    In this dissertation, we provide novel parametrization procedures for water-flooding production optimization problems, using polynomial approximation techniques. The methods project the original infinite dimensional controls space into a polynomial subspace. Our contribution includes new parameterization formulations using natural polynomials, orthogonal Chebyshev polynomials and Cubic spline interpolation. We show that the proposed methods are well suited for black-box approach with stochastic global-search method as they tend to produce smooth control trajectories, while reducing the solution space size. We demonstrate their efficiency on synthetic two-dimensional problems and on a realistic 3-dimensional problem. By contributing with a new adjoint method formulation for polynomial approximation, we implemented the methods also with gradient-based algorithms. In addition to fine-scale simulation, we also performed reduced order modeling, where we demonstrated a synergistic effect when combining polynomial approximation with model order reduction, that leads to faster optimization with higher gains in terms of Net Present Value. Finally, we performed gradient-based optimization under uncertainty. We proposed a new multi-objective function with three components, one that maximizes the expected value of all realizations, and two that maximize the averages of distribution tails from both sides. The new objective provides decision makers with the flexibility to choose the amount of risk they are willing to take, while deciding on production strategy or performing reserves estimation (P10;P50;P90)

    Quantum Speed-ups for Boolean Satisfiability and Derivative-Free Optimization

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    In this thesis, we have considered two important problems, Boolean satisfiability (SAT) and derivative free optimization in the context of large scale quantum computers. In the first part, we survey well known classical techniques for solving satisfiability. We compute the approximate time it would take to solve SAT instances using quantum techniques and compare it with state-of-the heart classical heuristics employed annually in SAT competitions. In the second part of the thesis, we consider a few classically well known algorithms for derivative free optimization which are ubiquitously employed in engineering problems. We propose a quantum speedup to this classical algorithm by using techniques of the quantum minimum finding algorithm. In the third part of the thesis, we consider practical applications in the fields of bio-informatics, petroleum refineries and civil engineering which involve solving either satisfiability or derivative free optimization. We investigate if using known quantum techniques to speedup these algorithms directly translate to the benefit of industries which invest in technology to solve these problems. In the last section, we propose a few open problems which we feel are immediate hurdles, either from an algorithmic or architecture perspective to getting a convincing speedup for the practical problems considered
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