摘要
有针对性地开展高精度数值模拟工作,解决现有的结构化网格剖分技术的误差非对称性问题,为精细反演解释提供支撑。首先对常规结构化网格剖分技术进行分析总结,并基于前人工作提出一种新的适用于起伏地形的三维结构化网格剖分技术,同时推导了四面体有限元基本方程,然后建立均匀半空间三维点源模型进行算法验证,最后建立渗流自然电场地电模型,探讨渗流走向以及起伏地形对地表自然电位分布的影响。数值结果表明,该剖分技术实现简单,能有效解决误差非对称性分布问题,且模拟精度高,对复杂模型适应性强。在自然电场渗流模型中,渗流方向上能观测到电位正异常,而正负地形分别会引起电位异常的减小与增大。数值结果可为自然电场法在工程与环境领域的数据反演解释提供良好的基础。
High precision numerical simulation is carried out in order to solve the problem of error asymmetry of the existing structured mesh generation technology and provide support for precise inversion and interpretation.When dealing with terrain conditions,regular hexahedron is usually subdivided into tetrahedron,triangular prism and other grid cells,and then terrain data is added,which has certain influence on the accuracy of numerical simulation.Therefore,the previous conventional structured grid subdivision technology is reviewed,and a new kind of grid subdivision technology suitable for models with rolling terrain is proposed.Subsequntly,the tetrahedral finite element method is deduced and then a homogenous half-space model is established to verify the new subdivision technology.Finally,seepage self-potential models are established and the influence of seepage direction and terrain data on ground self-potential is discussed.Numerical results show that this new subdivision technology can be easily used to solve the problem of asymmetric error distribution effectively,and has high accuracy and strong adaptability to complex models.Positive potential anomalies can be observed in the seepage direction,while positive and negative terrains can cause the decrease and increase of potential anomalies respectively.It proves that the numerical results can provide a good foundation for data inversion and interpretation of the self-potential method in engineering and environmental fields.
作者
周竹生
朱海伦
谢静
刘思琴
杨阳
ZHOU Zhusheng;ZHU Hailun;XIE Jing;LIU Siqin;YANG Yang(School of Geosciences and Info-Physics,Central South University,Changsha 410083,China;Shanxi Coal Geological Geophysical Exploration Surveying and Mapping Institute,Jinzhong 030600,China)
出处
《成都理工大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第6期754-761,共8页
Journal of Chengdu University of Technology: Science & Technology Edition
关键词
剖分技术
自然电场
正演模拟
三维有限元
复杂地形
new subdivision technology
self-potential
forward modeling
3D finite element method
complex terrain
作者简介
第一作者:周竹生(1965-),男,博士,教授,研究方向:资源勘察、工程地球物理勘探等,E-mail:672390136@qq.com;通信作者:谢静(1993-),男,博士,研究方向:环境地球物理、数值模拟等,E-mail:jingxie@csu.edu.cn。
