【作者】 王娜；

【导师】 王玉兰；

【作者基本信息】 成都理工大学 ， 计算数学， 2010， 硕士

【摘要】 卤水是一种重要的自然资源,随着工农业生产的迅速发展,对卤水的开采规模越来越大,这就必然要提出精确预测、合理开采、正确设计与综合利用的问题。本文以察尔汗盐湖别勒滩区段为背景,根据青海省察尔汗盐湖别勒滩区段的水文地质和水化学的实际,概化得到该区卤水动力学地质概念模型,并在此基础上建立了卤水动力学数学模型,拟合该区卤水开采过程中卤水的动态变化规律。实际的水文地质条件往往是比较复杂的,用解析法求解很困难,数值法为研究这类问题开辟了新的途径。它以渗流理论为基础,从整个计算区域的水量平衡或质量守恒出发,建立反映整个计算区域卤水运动状况的数学模型。解水动力问题的数值方法有多种,但最通用的还是有限差分法(FDM)和有限元法(FEM,也称有限单元法,有限元素法)。本文分别用有限差分法和有限元法求解了所建立的数学模型,并给出了有限元法的程序设计图。最后分别对有限差分法和有限元法的时间复杂度进行了分析,同时对两种数值解法作了详细的评述。更多还原

【Abstract】 Brine is an important natural resource. With the rapid development of industrial and agricultural production, brine is explored more and more. So there are bound to make accurate forecasts , proper design and utilization issues . This paper is based on the Bieletan section, Qarhan Salt Lake in Qinghai Province . According to Hydrogeology and water chemistry of the Bieletan section, Qarhan Salt Lake in Qinghai Province, Brine dynamic geological conceptual model is established. And on this basis, a brine dynamic mathematical is established.The actual hydrogeological conditions are often complicated. So it is difficult to use analytic method to solve the problem. But numerical method opens up new avenues to study these problems . It is based on percolation theory. According the water balance or mass balance of the entire computational domain, the calculation to reflect the situation of the regional groundwater model is established. There are several ways to solve the prolem of brine dynamic. But the most common methods are finite difference method (FDM) and finite element method (FEM, also known as finite element method, finite element method). The finite difference method and the finite element method are used for solving the mathematical model in this paper. Then the program design of the finite element method is gived.Finally, finite difference method and finite element method of time complexity is analyzed respectively. At the same time ,the two numerical methods are commented in detail.更多还原