| 基于区域分解法的水文地质参数寻优研究 |
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| 引用本文： | 王敏,朱国荣,王浩然,江思珉.基于区域分解法的水文地质参数寻优研究[J].水文地质工程地质,2006,33(1):65-68. |
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| 作者姓名： | 王敏 朱国荣 王浩然 江思珉 |
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| 作者单位： | 1. 南京大学地球科学系,南京,210093
2. 南京大学软件学院,南京,210093 |
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| 摘 要： | 在建立地下水流模型的过程中，水文地质参数寻优一直是较为复杂的步骤之一，具体难点包括寻优方法的取用，为保持总体平衡所引起的参数峰值异常以及总体寻优需要大量的计算机时等问题。本文运用区域分解法（Domain Decomposition method，DDM）的基本思想，将整个区域的参数寻优问题分解为各参数分区内的子域问题求解，通过寻找整个区域上的Nash均衡最终获得各子域上的最优参数。实验算例及其结果证明应用该方法实现水文地质参数自动寻优，不但具有高度的可靠性，同时优化问题的规模减小。此举不但减少了求解过程所需要的CPU时间，而且提高了参数拟合度。
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| 关 键 词： | 地下水流模型 参数寻优 区域分解法 Nash均衡 |
| 文章编号： | 1000-3665（2006）01-0065-04 |
| 收稿时间： | 2005-04-06 |
| 修稿时间： | 2005-08-17 |
A study of the hydrogeological parameters optimization based on the domain decomposition method |
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| WANG Min,ZHU Guo-rong,WANG Hao-ran,JIANG Si-min.A study of the hydrogeological parameters optimization based on the domain decomposition method[J].Hydrogeology and Engineering Geology,2006,33(1):65-68. |
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| Authors: | WANG Min ZHU Guo-rong WANG Hao-ran JIANG Si-min |
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| Institution: | 1. Department of Earth Sciences, Nanjing University, Nanjing 210093, China ; 2. Software Institute, Nanjing University, Nanjing 210093, China |
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| Abstract: | Optimization for hydrogeologic parameters is a relatively complex step in groundwater flow modeling.The complexity is caused by the choice of optimization methods,the abnormal parameter peak because of attention to equilibrium and the massive computing time for optimization.In this paper,the optimization problem in the whole modeled area is divided into subdomain problems based on the main idea of the Domain Decomposition Method(DDM).The optimal parameters of the subdomain are obtained by searching the Nash equilibrium in the whole domain.The example and the results show that this method for searching the hydrogeologic parameters are of high reliability.Because of decomposing the whole optimization problem into subproblems,the size of the optimization is greatly reduced.This step not only decreases the computing time,but also improves the fitness. |
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| Keywords: | groundwater modeling parameter optimization DDM Nash equilibrium |
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