Journal of Jilin University(Earth Science Edition) ›› 2020, Vol. 50 ›› Issue (6): 1854-1861.doi: 10.13278/j.cnki.jjuese.20180323

Previous Articles    

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)

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

CLC Number: 

  • 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.
[1] Shu Longcang, Xu Yang, Wu Peipeng. Groundwater Flow Numeric Simulation Method Based on Uncertainties of MODFLOW Parameters [J]. Journal of Jilin University(Earth Science Edition), 2017, 47(6): 1803-1809.
[2] LU Cheng-peng, SHU Long-cang, YUAN Li-bo, ZHANG Rong-rong, HUANG Bi-juan, WANG Bin-bin. Determination of Hydrogeologic Parameters of Karst Aquifer Based on Tracer Test [J]. J4, 2009, 39(4): 717-721.
[3] CAO Jian-feng,SHEN Yuan-yuan,PING Jian-hua,DU Quan-you,LIU Mei-xia. Application of the Theory of Groundwater Chemical Dynamics in the Parameter Determination in Qianjin Source Field [J]. J4, 2006, 36(01): 96-0102.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!