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地理学报 1994
ON THE MANAGEMENT MODEL OF KARST-FRACTURE WATER RESOURCE IN LINZI DISTRICT, SHANDONG PROVINCE
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Abstract:
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.
