| 复杂二维/三维大地电磁的有限单元法正演模拟策略 |
| |
| 引用本文： | 童孝忠,柳建新,郭荣文.复杂二维/三维大地电磁的有限单元法正演模拟策略[J].CT理论与应用研究,2009,18(1):47-54. |
| |
| 作者姓名： | 童孝忠 柳建新 郭荣文 |
| |
| 作者单位： | 中南大学信息物理工程学院,长沙,410083 |
| |
| 基金项目： | 国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 复杂二维和三维大地电磁模型的正演数值模拟具有一定的挑战性。对于复杂的二维和三维大地电磁正演问题,我们采用有限单元法进行求解。有限单元法最后形成一个线性方程组,系数矩阵是大型稀疏的带状对称复系数矩阵,并且其条件数远大于1,为严重病态矩阵,求解其对应方程组会遇到很多困难。不完全LU分解处理的Bi-CGSTAB迭代方法可用于该线性方程组的求解,并且具有速度快、精度高和稳定性好等优点;为了模拟无穷远边界及满足计算机的内存需求,在保证计算精度的情况下设计了非均匀网格剖分;在程序编制中,只存储有限元系数矩阵的非零元素,大大减少了正演计算的时间。通过对二维和三维模型电磁响应的计算,验证了算法的正确性。
|
| 关 键 词： | 大地电磁 有限单元法 正演模拟 Bi-CGSTAB算法 |
Solution Strategies for Complex 2D/3D Magnetotelluric Forward Modeling Based on the Finite Element Method |
| |
| TONG Xiao-zhong,LIU Jian-xin,GUO Rong-wen.Solution Strategies for Complex 2D/3D Magnetotelluric Forward Modeling Based on the Finite Element Method[J].Computerized Tomography Theory and Applications,2009,18(1):47-54. |
| |
| Authors: | TONG Xiao-zhong LIU Jian-xin GUO Rong-wen |
| |
| Institution: | TONG Xiao-zhong,LIU Jian-xin,GUO Rong-wen School of Info-physics , Geomatics Engineer,Central South University,Changsha 410083,China |
| |
| Abstract: | Two-dimensional(2D) or three-dimensional(3D) forward modeling is a challenge for geometrically complex magnetotelluric(MT) problems.To solve the complex 2D/3D MT forward problems,we apply the finite element method.The finite element method is used to form a linear equation,and the coefficient matrix is a large sparse,banded,symmetric,conditioned,complex matrix.Its condition number is far larger than 1,and it is an ill-conditioned matrix.Solving large scale ill-conditioned linear equation is very difficult.T... |
| |
| Keywords: | magnetotelluric forward modeling finite element method Bi-CGSTAB algorithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
