吉林大学学报(地球科学版) ›› 2020, Vol. 50 ›› Issue (6): 1854-1861.doi: 10.13278/j.cnki.jjuese.20180323

• 地质工程与环境工程 • 上一篇    

基于遍历搜索算法的水文地质参数优化求解

邱淑伟1,2,3, 吴亚敏1,2,3, 柯昱琪1,2,3, 闫佰忠1,2,3   

  1. 1. 河北地质大学水资源与环境学院, 石家庄 050031;
    2. 河北省水资源可持续利用与开发重点实验室, 石家庄 050031;
    3. 河北省水资源可持续利用与产业结构化协同创新中心, 石家庄 050031
  • 收稿日期:2018-12-09 发布日期:2020-12-11
  • 作者简介:邱淑伟(1987-),女,讲师,博士,主要从事水土环境模拟、控制与修复方面的研究,E-mail:jluqsw@163.com
  • 基金资助:
    河北省水利科技计划项目（2017060）；河北地质大学博士科研启动基金项目（BQ2017006）；河北省专业学位教学案例库建设项目（KCJSZ2020095）；河北省高等学校科学技术研究项目（ZD2019082）

Optimization of Hydrogeological Parameters Based on Ergodic Search Algorithm

Qiu Shuwei1,2,3, Wu Yamin1,2,3, Ke Yuqi1,2,3, Yan Baizhong1,2,3   

  1. 1. School of Water Resources & Environment, Hebei GEO University, Shijiazhuang 050031, China;
    2. Key Laboratory of Sustained Utilization & Development of Water Resources, Hebei Province, Shijiazhuang 050031, China;
    3. Collaborative Innovation Center for Sustainable Utilization of Water Resources and Optimization of Industrial Structure, Hebei Province, Shijiazhuang 050031, China
  • Received:2018-12-09 Published:2020-12-11
  • Supported by:
    Supported by Water Conservancy Science and Technology Planning Project of Hebei Province(2017060),Doctoral Research Fund Project of Hebei GEO University(BQ2017006),Professional Degree Teaching Case Base Construction Project of Hebei Province (KCJSZ2020095) and Institution of Higher Learning Science and Technology Research Project of Hebei Province (ZD2019082)

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摘要： 为了解决传统的Theis配线法在求参过程中无法利用全部抽水试验数据、手动配线效率较低、求参过程受人为主观因素影响较大等问题，利用抽水试验数据，以Theis公式和叠加原理为理论基础，以理论计算降深与实测降深的Nach-Sutcliffe效率系数值达到最大为目标函数，基于Matlab软件编程，再利用遍历搜索算法对导水系数（T）、贮水系数（S）在其对应范围内进行遍历，实现了水文地质参数的自动精确求解。将遍历搜索算法应用于2个抽水试验实例的水文地质参数求解，并与传统求参方法的计算结果进行比较分析。结果表明：利用遍历搜索算法求参的计算结果与传统求参方法的计算结果相近，表明利用遍历搜索算法求解水文地质参数有效可靠；2个抽水实例利用遍历搜索算法得到的参数对应的理论计算降深与实测降深的Nach-Sutcliffe效率系数值分别为0.996 5、0.970 8，且相比传统的求参方法而言更接近1.000 0，说明其拟合程度更好。

关键词: 优化求解, 水文地质参数, 遍历搜索算法, Theis公式, 叠加原理

Abstract: The traditional Theis wiring method cannot use all the pumping test data, the manual wiring efficiency is low, and the parameter calculation is greatly affected by human subjective factors. In order to solve these problems, based on the pumping test data and Theis formula and superposition principle, the maximum value of Nach-Sutcliffe efficiency coefficient of theoretical calculation drawdown and measured drawdown was taken as the objective function. Through Matlab software programming, the hydraulic conductivity coefficient T and water storage coefficient S are traversed within their corresponding ranges by using the ergodic search algorithm, by which the automatic and accurate solution of hydrogeological parameters is realized. The ergodic search algorithm was applied to determine the hydrogeological parameters of two pumping test cases,and the results were compared with those of the traditional methods. The results show that the results obtained by ergodic search algorithm are similar to those obtained by traditional methods,which shows that the ergodic search algorithm is effective and reliable in solving hydrogeological parameters. The values of Nach-Sutcliffe efficiency coefficient of theoretical calculation drawdown and measured drawdown obtained by the ergodic search algorithm for the two pumping test examples are 0.996 5 and 0.970 8 respectively, which are closer to 1.000 0, indicating a better fitting degree compared with the parameter results obtained by the traditional methods.

Key words: optimization solution, hydrogeological parameters, ergodic search algorithm, Theis formula, superposition principle

中图分类号: 

  • P641.1
[1] 赵宝峰,康卫东,马莲净,等.抽水试验和长观水位联合模拟确定含水层参数[J].吉林大学学报(地球科学版),2009,39(3):482-486. Zhao Baofeng,Kang Weidong,Ma Lianjing,et al. Aquifer Parameter Recognition by Combining Simulation of Pumping Test and Water Level of Long-Term Observation Well[J]. Journal of Jilin University (Earth Science Edition),2009, 39(3):482-486.
[2] Theis C V. The Relation Between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge of a Well Using Groundwater Storage[J]. American Geophysical Unions Transactions, 1935, 16:519-544.
[3] 薛禹群,吴吉春.地下水动力学[M].3版.北京:地质出版社,2010. Xue Yuqun,Wu Jichun. Dynamics of Groundwater[M]. 3rd ed.Beijing:Geological Publishing House,2010.
[4] Hhc J R, Jacob C E. A Generalized Graphical Method for Evaluating Formation Constants and Summarizing Well-Field History[J]. American Geophysical Unions Transactions, 1946, 27:526-534.
[5] Bear J. Hydraulics of Groundwater[M]. New York:Mc Graw-Hill,1979.
[6] 肖长来,梁秀娟,崔建铭.确定含水层参数的全程曲线拟合法[J].吉林大学学报(地球科学版),2005,35(6):751-755. Xiao Changlai, Liang Xiujuan, Cui Jianming. Whole Curve Matching Method for Aquifer Parameters Determination[J]. Journal of Jilin University (Earth Science Edition),2005,35(6):751-755.
[7] 章四龙,刘九夫.通用模型参数率定技术研究[J].水文,2005,25(1):9-12. Zhang Silong, Liu Jiufu. Research on Calibration Technology of General Model Parameters[J]. Hydrology, 2005,25(1):9-12.
[8] 邱淑伟,梁秀娟,肖长来,等.间断性阶梯状抽水试验求参[J].节水灌溉, 2015,40(5):60-62. Qiu Shuwei, Liang Xiujuan, Xiao Changlai, et al. Parameters Determination for Intermittent Step-pumping Tests[J]. Water Saving Irrigation, 2015,40(5):60-62.
[9] 刘国东,丁晶,张翔.应用人工神经网络求算含水层参数[J]. 工程勘察, 1997,25(1):25-28. Liu Guodong, Ding Jing, Zhang Xiang. Determination Aquifer Parameters by Using BP Network[J]. Engineering Investigation,1997,25(1):25-28.
[10] 郭建青,周宏飞,李彦,等.随机搜索算法在确定含水层参数中的应用[J].中国农村水利水电, 2010,52(12):48-51. Guo Jianqing,Zhou Hongfei,Li Yan,et al. The Application of Random Search Algorithm to the Analysis of Pumping Test Data for Estimating Aquifer Parameters[J]. China Rural Water and Hydropower, 2010,52(12):48-51.
[11] 霍小虎,黄国如. 遗传算法在水文地质参数确定中的应用[J]. 地下水, 2001,18(4):195-197. Huo Xiaohu, Huang Guoru. The Application of Genetic Algorithm for Estimating Aquifer Parameters[J]. Groundwater, 2001,18(4):195-197.
[12] 魏连伟,邵景力,张建立,等. 遗传算法在水文地质参数反演中的应用[J]. 工程勘察, 2004,32(3):28-31. Wei Lianwei, Shao Jingli, Zhang Jianli, et al. The Application of Genetic Algorithm for Estimating Aquifer Parameters Inversion[J]. Engineering Investigation, 2004,32(3):28-31.
[13] 董起广,周维博,李云排,等. 改进遗传算法在泾惠渠灌区水文地质参数求解中的应用[J]. 中国农村水利水电, 2014,56(5):27-30. Dong Qiguang, Zhou Weibo, Li Yunpai, et al. The Application of Improved Genetic Algorithm for Hydrogeology Parameters Solution in Jinghui Irrigation Area[J]. China Rural Water and Hydropower, 2014,56(5):27-30.
[14] Jie J I, Tao P J. Circulation Algorithm of MS SQL Server Tree Structure Table's Traversal Search[J]. Computer & Modernization, 2005,116(4):7-8.
[15] Sharma M B, Mandyam N K, Iyangar S S. An Optimal Distributed Depth-First-Search Algorithm[J]. Information Processing Letters,1989, 32(4):183-186.
[16] Lawrence D. Theory of Optimal Search[M]. Salt Lake City:Academic Press, 1975.
[17] Mahdavi M, Fesanghary M, Damangir E. An Improved Harmony Search Algorithm for Solving Optimization Problems[J]. Applied Mathematics and Computation, 2007, 188(2):1567-1579.
[18] 刘萍, 冯桂莲. 图的深度优先搜索遍历算法分析及其应用[J]. 青海师范大学学报(自然科学版), 2007,29(3):41-44. Liu Ping, Feng Guilian. Analysis and Application for Depth-First Search Algorithm of Graph[J]. Journal of Qinghai Normal University (Natural Science Edition),2007,29(3):41-44.
[19] 王一凡,张乐权,尹泽文,等.基于遍历搜索算法的太阳影子定位技术研究[J].科技创新导报,2017,14(12):237-238. Wang Yifan, Zhang Lequan, Yin Zewen, et al.Research on Solar Shadow Location Technology Based on Traversal Search Algorithm[J]. Science and Technology Innovation Herald,2017,14(12):237-238.
[20] 马昌风.最优化方法及其Matlab程序设计[M].北京:科学出版社,2010:87-96. Ma Changfeng. Optimization Method and Matlab Programming[M]. Beijing:Science Press, 2010:87-96.
[21] 涂鲜萍, 李飞, 雷贤卿,等. 平面度误差的遍历搜索算法[J]. 河南科技大学学报(自然科学版), 2013, 34(5):19-22. Tu Xianping, Li Fei, Lei Xianqing, et al. Traversal Searching Algorithm of Flatness Error[J]. Journal of Henan University of Science & Technology(Natural Science Edition),2013, 34(5):19-22.
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