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察尔汗盐湖地下卤水动态规律研究
李海龙, 马国祥
鞍山师范学院数学系,鞍山114005
摘要:
建立了描述采卤过程中地下卤水运动规律的数学模型,并用有限元素法进行了数值迭代求解。在此基础上,用等值线比较法,根据1988年3月—1989年6月间65个观测点上每月一次的地下卤水的水位观测数据,对首采区中312个剖分节点上的渗透系数等水文地质参数进行了修正和反求。经修正反求后地下卤水水位的模拟值与实测值之间的相对误差由原来的14.3%改善为7.7%。
关键词:  盐湖地下卤水水位  数值模拟  等值线比较法  察尔汗盐湖
DOI:
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基金项目:中国科学院青年科学基金资助项目,A930621号
THE DYNAMICS OF UNDERGROUND BRINE IN AN AREA WITHIN CHAERHAN SALT LAKE, QINGHAI, CHINA
LI Hai-long, MA Guo-xiang
Department of Mathematics, Anshan Teachers’ College, Anshan, 114005
Abstract:
Chaerhan salt lake in Qinghai is one of the largest dry salt lakes in the world. Underground brine in this area is being exploited to produce fertilizer, salt and other products, at an increasing rate. Therefore, a study of the movement of the underground brine in the course of its exploitation is important to the development of the industry of salt chemistry in this area. So far, our institute established about 100 measuring stations for the underground brine watertable measurement in an area of Chaerhan Salt Lake in the summer of 1987 and the measurement started from March, 1988. In this paper, a mathematical model is built to describe the dynamics of underground brine in the area. The model consists of an initial-boundary value problem of the boussinesq equation, which is a nonlinear parabolic equation. Numerical solutions to the model are obtained using Finite Element Method and iteration. On the basis of this, using the monthly-surveyed data of the watertable of ground brine at 65 surveying stations in the area, from March 1988 to June 1989, the isopleths-comparison method is applied to modify the hydrology-geological parameters of the salt layer, such as the permeability and the thickness of the salt layer, which were estimated using experimental and measured values and interpolation at the beginning of the calculation. Through the modification of the above-mentioned hydrology-geological parameters, the relative errors between the simulated and surveyed values of the watertable of underground brine are reduced.
Key words:  Watertable of underground brine in salt lakes, Numerical simulation, Isopleths-comparison method, Chaerhan salt lake
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