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

作　　者：李平 卢文喜 靳孟贵 杨青春 

机构地区：[1]College of Chemistry and Materials,South-Central University for Nationalities [2]School of Environmental Studies,China University of Geosciences [3]College of Environment and Resources,Jilin University

出　　处：《Journal of Earth Science》2012年第3期349-358,共10页地球科学学刊（英文版）

基　　金：supported by the Special Fund for Basic Scientific Research of Central Colleges,South-Central University for Nationalities(No.CZY12021);the National Natural Science Foundation of China(No.40672157);the 863 Program of China(No.2007AA06Z337)

摘　　要：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 ground-water 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 for-mulation 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 ap-proach 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 ground-water management problem with covariate.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 ground-water 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 for-mulation 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 ap-proach 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 ground-water management problem with covariate.

关 键 词：COVARIATE relation of mutual-feed joint-variation groundwater management response matrix 

分 类 号：P641.8[天文地球—地质矿产勘探] S831.5[天文地球—地质学]