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Volume 23 Issue 3
Jun 2012
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Journal of Earth Science  > 2012  >  23(3): 349-358.
Ping Li, Wenxi Lu, Menggui Jin, Qingchun Yang. Approach to the Relation of Mutual-Feed Joint-Variation in Groundwater Management Model. Journal of Earth Science, 2012, 23(3): 349-358. doi: 10.1007/s12583-012-0261-6
Citation: Ping Li, Wenxi Lu, Menggui Jin, Qingchun Yang. Approach to the Relation of Mutual-Feed Joint-Variation in Groundwater Management Model. Journal of Earth Science, 2012, 23(3): 349-358. doi: 10.1007/s12583-012-0261-6
shu

Approach to the Relation of Mutual-Feed Joint-Variation in Groundwater Management Model

doi: 10.1007/s12583-012-0261-6
  • 1.

    College of Chemistry and Materials, South-Central University for Nationalities, Wuhan 430074, China

  • 2.

    School of Environmental Studies, China University of Geosciences, Wuhan 430074, China

  • 3.

    College of Environment and Resources, Jilin University, Changchun 130021, China

Funds:

the Special Fund for Basic Scientific Research of Central Colleges, South-Central University for Nationalities  CZY12021

the National Natural Science Foundation of China 40672157

the 863 Program of China  2007AA06Z337

More Information
  • Corresponding author: Wenxi Lu, luwenxi@jlu.edu.cn
  • Received Date: 26 Nov 2010
  • Accepted Date: 05 Mar 2011
  • Publish Date: 01 Jun 2012
    Abstract
  • In groundwater management,the exchanges between groundwater and other water such as surface water and spring water need to be considered. Some exchange is dependent on the groundwater level,which is called covariate. The pumping rate,groundwater level,and covariate interact and the relation of mutual-feed joint-variation is used to describe their interaction. This article presents a new approach of dealing with the relation in groundwater management model. The mathematical formulation of the relation,as an additional equality constraint in the optimization model,is developed using response matrix method. Thereby the groundwater management model with covariate is set up. The code for the simulation and management of groundwater system with covariate is programmed with Fortran 90,and the optimal pumping rate,groundwater level,and covariate are obtained. The approach is verified with a hypothetical case. Finally,the approach is applied to the groundwater management of Qianguo (前郭) area in western Jilin (吉林) Province. The results indicate that the approach is feasible. It provides a universal solution for various covariates and reduces the computational complexity compared to iteration method. The approach is proven to be very efficient to solve groundwater management problem with covariate.

     

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