CAJ | 학술논문

本文采用基于二次场的有限单元算法开展了二维可控源音频大地电磁CSAMT的数值模拟研究。研究工作从麦克斯韦方程组出发，导出了电阻率异常的二次场方程；采用了基于二叉树结构的三角单元剖分，推导了双线性的单元钢度矩阵表达式；对电阻率异常模型进行了试算。实践表明，二次场算法无需对场源区域剖分，可有效的减小计算区间，提高了计算效率；与总场算法相比，二次场算法边界处理简单；二次场算法有利于提高计算精度，解决了低频计算不稳定问题。
본문채용기우이차장적유한단원산법개전료이유가공원음빈대지전자CSAMT적수치모의연구。연구공작종맥극사위방정조출발，도출료전조솔이상적이차장방정；채용료기우이차수결구적삼각단원부분，추도료쌍선성적단원강도구진표체식；대전조솔이상모형진행료시산。실천표명，이차장산법무수대장원구역부분，가유효적감소계산구간，제고료계산효솔；여총장산법상비，이차장산법변계처리간단；이차장산법유리우제고계산정도，해결료저빈계산불은정문제。
This paper, by adopting the finite element algorithm which is based on the secondary field, takes a numerical simulation research on the two-dimension Controlled Source Audio Magneto Telluric (CSAMT). The research derives the secondary field equation of abnormal resistivity based on Maxwell equations, deduces the bi-linear unit stiffness matrix expression by using a triangle element meshing which is based on binary tree structure, and tries to calculate the abnormal resistivity model. The practice shows that the secondary field algorithm can ef-fectively reduce the computation space and increase the computational efficiency without subdividing sections on field source;by comparing with total field algorithm, the boundary treatment is simpler with secondary field algo-rithm;the algorithm solves the instability of low frequency calculation by improving computational accuracy.