有限元法是地下水动力学中重要的数值计算方法之一。该方法的应用使地下水动力学得到了迅速发展。当前科学计算可视化是地下水动力学计算领域的一个重要研究方向。有限元计算需要可视化技术支持，有利于地下水动力学学科的发展。 论文首先对地下水动力学中主要的渗流理论做了系统叙述，接着对渗流问题有限元分析过程（前处理阶段、计算阶段和后处理阶段）涉及的科学计算可视化技术做了分析研究。包括：科学计算可视化的开发环境，有限元法前处理阶段的主要网格剖分算法、网格剖分算法的选择、地下水有限元计算阶段的可视化技术、地下水有限元后处理阶段的可视化、后处理中等水头线的生成技术，非稳定流水头变化曲线，真实感图形和地下水体绘制图，网格图的各种标识，Delphi下OpenGL在后处理中的开发基础等。 该文利用面向对象技术、UML建模方法和Delphi 7.0进行了地下水流有限元计算可视化系统分析、设计和实现。软件从功能上被划分为前处理、有限元计算和后处理三大功能模块。前处理包括：网格自动剖分和网格半自动剖分的功能分析、设计和实现；有限元计算包括：三角形单元承压稳定流计算和非稳定流计算、矩形单元承压非稳定流计算、任意四边形单元承压非稳定流计算、四面体单元承压三维非稳定流计算的分析、设计和实现。后处理包括：非稳定流水头随时间变化曲线的分析、设计和实现，基于Surfer ActiveX Automation技术的等水头线等图件生成的分析、设计和实现。最后，论文利用开发的系统，结合工程实例进行了系统主要功能的应用测试，证明了系统功能的有效性。

FEM(Finite Elementary Method) is one of the important numeric calculation methods used in Groundwater Gynamics.The application of FEM has advanced rapidly Groundwater Gynamics. Visualization in Scientific Computing is a important studying direction in the fields of calculation in Groundwater Gynamics. The calculation of FEM need the support of Visualization in Scientific Computing, which makes for the development of Groundwater Gynamics. The paper narrates first the theory of the main seepage in Groundwater Gynamics.Then, the Visualization in Scientific Computing in all phases of FEM(Preprocessing Phase, Computing Phase and Postprocessing Phase) of the main seepage problem in Groundwater Gynamics is analyzed and studied. The main contents of this part are as following:the development environment of Visualization in Scientific Computing,the main methods of net dividing in the preprocessing phase of FEM,the choice of net dividing methods,the visual technology of computing phase in FEM , the visual technology of postprocessing phase in FEM,the implemention technology of contour about water head in postprocessing phase,the water head changing curve of insteady artesian underground water flowing,the third dimension graphics and the volume rendering graphics in underground water,the identifier of net graphics,the development basis of OpenGL in Delphi in postprocessing phase. The analysis, design and implemention of Visual Software System in FEM for Underground Water are completed with the technology of OO(Object Oriented),the model method of UML(United Modle Language) and Delphi 7.0.The software system is made up of preprocessing modle, computing modle and postprocessing modle. The analysis, design and implemention of automatic net dividing and semi-automatic net dividing in the preprocessing phase is completed. The analysis, design and implemention of the triangle cell FEM calculations in steady and insteady artesian underground water flowing in 2D in computing phase，the rectangle cell FEM calculations in insteady artesian underground water flowing in 2D in computing phase, the quadrangle cell FEM calculations in insteady artesian underground water flowing in 2D in computing phase and the tetrahedron cell FEM calculations in insteady artesian underground water flowing in 3D in computing phase are done. The analysis, design and implemention of the water head changing curve of insteady artesian underground water flowing and the contour based on Surfer ActiveX Automation for water head in postprocessing phase are done. Finally, the practical application about an actual engineering example is done to test and be proved the validity of the main function of Visual Software System in FEM for Underground Water through the developped application software.