MATLAB PDE工具箱在地下水科学实验教学中的应用  

Application of MATLAB PDE Toolbox to the Experimental Teaching of Groundwater Science

作　　者：牛宏[1] 梁杏[1] 尼胜楠 孙蓉琳[1] 

机构地区：[1]中国地质大学环境学院,武汉430074 [2]中国科学院上海天文台,上海200030

出　　处：《安全与环境工程》2013年第6期6-11,共6页Safety and Environmental Engineering

基　　金：国家重点基础研究发展计划(973计划)项目(2010CB428802);国家自然科学基金项目(41272258);中国地质调查局计划项目(12120733908)

摘　　要：利用MATLAB PDE工具箱求解Tóth典型地下水流系统模式,可得出地下水流系统模式图和流速分布图,体现了直观求解地下水流系统方法的多样性。MATLAB PDE工具箱与传统模拟软件Visual-MODFLOW相比,具有操作简单、易于掌握和出图方式多样的优势。本文将两种方法求解地下水流系统模式进行了对比模拟研究,并比较了两种方法的优缺点。结果表明:MATLAB PDE工具箱操作简便、出图美观,有利于对基本概念的理解,但处理非均质介质问题存在局限性;Visual-MODFLOW软件操作相对复杂、出图不够美观,不利于初学者操作,但可以方便地处理复杂介质。另外,介绍了MATLAB PDE工具箱在地下水科学实验教学中的应用,以期发展与改进模拟实验教学方法,使当代水文地质学的核心概念——地下水流系统理论得到更好的掌握与推广应用。MATLAB PDE toolbox can be used to solve Tóth's typical mode of groundwater flow systems and draw the map of groundwater flow systems and velocity distribution,which reflects the diversity of the methods of intuitively solving groundwater flow systems.Compared with the traditional simulation software(general commercial software Visual-MODFLOW),MATLAB PDE toolbox is simple in operation and easy to grasp and has various drawing ways.By a comparative simulation study,this paper draws the following conclusions:MATLAB PDE toolbox is conveniently manipulated and the maps are beautiful,which has the benefit for students to understand of the basic concept,but it has limitations in solving the problem of inhomogeneous media;for Visual-MODFLOW,the operation is relatively complex,the maps are not such beautiful,and it is a little difficult to master for the beginners,but it can handle the problem of complex medium easily.By introducing the application of MATLAB PDE toolbox in the experimental teaching of'groundwater system theory',the paper hopes to develop and improve the method of simulation experimental teaching,and make the core concept of contemporary hydrogeololgy—the groundwater flow system theory get a better popularization and application.

关 键 词：MATLAB PDE工具箱 Visual-MODFLOW软件 地下水流系统理论 模拟实验教学 

分 类 号：X143[环境科学与工程—环境科学]