%0 Journal Article
%T ON THE MANAGEMENT MODEL OF KARST-FRACTURE WATER RESOURCE IN LINZI DISTRICT, SHANDONG PROVINCE<br>山东临淄地区喀斯特—裂隙水资源的管理模型
%A Zhu Xueyu
%A Zhu Guorong
%A Wu Chunyin
%A Wang Heping
%A Gao Ming
%A <br>朱学愚
%A 朱国荣
%J 地理学报
%D 1994
%I 
%X A coupled model of finite element method with linear programming was used for the management of karst-fracture water resource in Linzi District of Zibo Municipality, Shandong Province. The mathematical model is given by where H is the groundwater head, Tx and Ty are the components of transmissivity tensor. W is the replenishment in the vertical direction. ST is the storativity, Qij is the pumping rate in well j at time level i. D is the flow domain. T1 is the first kind of boundary, T21 is the impermeable boundary, T22 is the described flux boundary. H0 and f are the described heads and q is the described flux. The model can be decomposed into 2 models and approached by finite element method.The optimal management model is as follows :Objective function:Subject towhere Q(j,1) is the pumping rate in well j at time step l. a (i. j. k-l+ 1) is the influence coefficient,s (i. k) is the constraint of drawdown in well i at time step k and s1 (i, k) is the additional drawdown. a(i. j, k- l + 1) and s1 (i, k) can be computed by finite element method. The optimization model has been solved by simplex method. The results are shown in this article.
%K Karst-fracture water resource
%K Finite element method
%K Linear programming
%K Optimal management model<br>喀斯特－裂隙
%K 水资源
%K 管理模型
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=869B153A4C6B5B85&jid=F7B5B947C24B9D649491012214E4BEF4&aid=9252D45C97A6B574&yid=3EBE383EEA0A6494&vid=2A3781E88AB1776F&iid=38B194292C032A66&sid=002786F01A86D891&eid=4290346F7268639E&journal_id=0375-5444&journal_name=地理学报&referenced_num=11&reference_num=6