Numerical Modeling Of Karst Groundwater And Calculation Of Leakage Quatity In The Area Of Zhong-liang Reservoir

On basis of the history of research on the development of groundwater modeling in the area of karst, this paper presents the summary of basic theory of karst water movement. The main concerned methods used to model the movement of karst groundwater are summarized systematically and comprehensively. The advantages and disadvantages of every calculation methods are analyzed and compared, based on the analysis, the adaptability of these methods are clarified.On the basis of anatomizing the condition of hydrogeology with Zhongliang water resources and power engineering, combined with the data analysis of flux with surface water, aquatic chemistry, and experiment of tracing, the condition of karst leakage in the region of reservoir is educed. The concept of reservoir leakage with these information is put forward, the leakage quantity of karst water in the region of reservoir with the method of water equilibrium is applied.Considering the practical status of the condition of hydrogeology in the region of reservior, This paper discuss the numerical model of linear seepage, nonlinear seepage, and linear-nonlinear seepage in karst groundwater.Combing the linear seepage model with hydrogeology in the region of Zhong-liang reservior, the analysis of the problem of positive and negative is emphasized. Make use of With some observing information of boreholes in this region, adverse seeking the hydrogeology of the reservoir in the region with finite element method, the leakage quatity of karst water in the region of reservoir is forecasted..The calculation formula of seepage tensor to the model of non-linear seepage with the area of karst conduit in the whole coordinate axis is deduced. On the basis of Galerkin finite element method, the equation of finite element with the non-linear seepage of groundwater is educed, on the foundation of this information, the program of KARCON.FOR is compiled. As this program to a typical model with calculation and analysis is applied, the results indicate the method is reasonable.Considering the seepage of linear and the seepage of non-linear in the karst area are always coexisting, the model of linear seepage and non-linear seepage is put forward firstly on the basis of domain decomposition method. The movement of groundwater in an ideal model is simulated with this method, and the program of DAR-NONDAR.FOR is compiled. Then these results are applied to Zhongliang water resources and power engineering, the leakage quantity of karst water is calculated.In the three models of calculating the leakage quantity of karst water, on account of the linear and non-linear seepage model are accord with the movement of darcy flow and non-darcy flow coexists with the practical instances in Zhong-liang reseviour, so the calculation result of leakage quantity of karst groundwater with this model is more reasonable.