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 b...