物探化探计算技术
物探化探計算技術
물탐화탐계산기술
COMPUTING TECHNIQUES FOR GEOPHYSICAL AND GEOCHEMICAL EXPLORATION
2015年
2期
153-157
,共5页
秦策%王绪本%赵宁%徐玉聪
秦策%王緒本%趙寧%徐玉聰
진책%왕서본%조저%서옥총
SQMR%有限差分%可控源电磁法
SQMR%有限差分%可控源電磁法
SQMR%유한차분%가공원전자법
SQMR%FDM%CSAMT
在三维可控源音频大地电磁(CSAMT)正演中,为消除源点处场值的奇异性,将电场分为一次场和二次场分别进行计算。一次场通过解析方法进行求解,二次场的二阶偏微分方程通过 Yee 氏交错网格进行有限差分离散。为节省内存空间,最终形成的稀疏对称复系数线性方程组采用行压缩格式(CSR)进行存储,并使用对称拟最小残差法(SQMR)求解。最后通过几个算例验证了程序在求解方程时,计算速度快、收敛稳定的特点。
在三維可控源音頻大地電磁(CSAMT)正縯中,為消除源點處場值的奇異性,將電場分為一次場和二次場分彆進行計算。一次場通過解析方法進行求解,二次場的二階偏微分方程通過 Yee 氏交錯網格進行有限差分離散。為節省內存空間,最終形成的稀疏對稱複繫數線性方程組採用行壓縮格式(CSR)進行存儲,併使用對稱擬最小殘差法(SQMR)求解。最後通過幾箇算例驗證瞭程序在求解方程時,計算速度快、收斂穩定的特點。
재삼유가공원음빈대지전자(CSAMT)정연중,위소제원점처장치적기이성,장전장분위일차장화이차장분별진행계산。일차장통과해석방법진행구해,이차장적이계편미분방정통과 Yee 씨교착망격진행유한차분리산。위절성내존공간,최종형성적희소대칭복계수선성방정조채용행압축격식(CSR)진행존저,병사용대칭의최소잔차법(SQMR)구해。최후통과궤개산례험증료정서재구해방정시,계산속도쾌、수렴은정적특점。
On the three-dimensional controlled source audio-frequency magnetotelluric (CSAMT),in order to eliminate the singularity of the point source,we divide the electric field into the primary and the secondary field before calculation.The primary field is calculated by analytical methods,the second order partial differential equations of the secondary field are scat-tered by finite difference method using Yee's staggered grid method.The compressed row storage format (CSR)is adopted to compress and store the coefficient matrix in order to save the storage space.The symmetric quasi minimum residual method (SQMR)is adopted to solve large complex coefficient equations.The result shows that,the iterative algorithm has fast and stability convergence rate.