参数空间变异性下地下水污染监测网 多目标优化机制研究
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本文为中央高校基本科研业务费专项资金资助项目(编号 J2014HGBZ0186, J2014HGBZ0119)、国家自然科学基金资助项目(编号 41072175,41372235, 41272251, 41372245)的成果。


The Study on Multi objective Optimization for Groundwater Monitoring Network Design under Spatial Variation of Parameters
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    摘要:

    基于野外实际含水层参数存在空间变异性的客观事实,研发概率Pareto遗传算法(Probabilistic Pareto genetic algorithm, PPGA),用于求解考虑含水层参数空间变异性下地下水污染监测网多目标优化设计问题。PPGA在ε 改进非劣支配遗传算法(epsilon dominance non dominated sorted genetic algorithm II, ε NSGAII)的基础上通过添加概率择优排序和概率拥挤度技术,寻求考虑参数空间变异条件下地下水污染监测网模拟—优化耦合模型的Pareto最优解。将优化结果与蒙特卡洛(Monte Carlo, MC)模拟分析结果进行对比,验证优化结果的可靠性。算例求解结果表明:在求解考虑参数空间变异性条件下地下水污染监测网多目标优化设计问题时,PPGA优化所得Pareto最优解变异性小,可靠性高,可为决策者提供一系列稳定可靠的监测方案。

    Abstract:

    Based on the fact that there is spatial variation of hydraulic conductivity, a new probabilistic Pareto genetic algorithm (PPGA) is developed to solve multi objective optimal design of groundwater contaminant monitoring network under the spatial variation of hydraulic conductivity. The PPGA is developed by adding the probabilistic Pareto domination ranking and probabilistic niche technique to the classic epsilon dominance non dominated sorted genetic algorithm II (ε NSGAII) to search for Pareto optimal solutions of multi objective optimization problems under uncertainty. The Pareto optimal solutions are then compared with the MC analysis results to demonstrate the effectiveness and reliability of the PPGA. Comprehensive analysis demonstrates that the proposed PPGA can find Pareto optimal solutions with low variability and high reliability and can provide a range of reliable monitoring programs for decision makers under the spatial variation of hydraulic conductivity.

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引用本文

骆乾坤,吴剑锋,杨运,钱家忠.2015.参数空间变异性下地下水污染监测网 多目标优化机制研究[J].地质论评,61(3):570-578,[DOI].
LUO Qiankun, WU Jianfeng, YANG Yun, QIAN Jiazhong.2015. The Study on Multi objective Optimization for Groundwater Monitoring Network Design under Spatial Variation of Parameters[J]. Geological Review,61(3):570-578.

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  • 收稿日期:2014-05-30
  • 最后修改日期:2015-04-08
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  • 在线发布日期: 2015-05-19
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