基于拟线性积分方程法的三维电磁场数值模拟精度分析

发布时间：2018-01-02 11:20

  本文关键词：基于拟线性积分方程法的三维电磁场数值模拟精度分析　出处：《吉林大学学报(地球科学版)》2017年04期 　论文类型：期刊论文

  更多相关文章： 拟线性近似 拟解析近似 局部拟线性近似 精度对比

【摘要】：应用于大规模三维数据反演的拟线性近似方法的计算精度和应用范围至今仍是一个比较模糊的概念。本文首先实现了基于拟线性近似方法(对角拟线性近似、标量拟线性近似、拟解析近似和局部拟线性近似)的三维电磁场数值模拟,然后通过正演计算,对这些方法的计算精度进行了系统的对比研究。理论研究结果表明:对角拟线性近似方法精度最高,适用范围最广,对电性变化在3~4个数量级内的地电模型都能给出精确的计算结果;拟解析近似方法计算精度只低于对角拟线性近似方法,它适用于异常电导率与背景电导率比值为2~3个数量级的地电模型;标量拟线性近似方法和局部拟线性近似方法的精度较低,只适用于异常电导率与背景电导率比值小于2个数量级的情况。
[Abstract]:The accuracy and application range of quasilinear approximation method for large scale 3D data inversion is still a relatively fuzzy concept. In this paper, the quasi-linear approximation based on quasilinear approximation (diagonal quasilinear approximation) is first implemented. Three dimensional electromagnetic field numerical simulation of scalar quasilinear approximation, quasi analytic approximation and local quasilinear approximation) is carried out, and then the forward calculation is carried out. The theoretical results show that the diagonal quasilinear approximation method has the highest accuracy and the widest range of application. The geoelectric model with electrical variation in the range of 3 ~ 4 orders of magnitude can be calculated accurately. The accuracy of the quasi-analytical approximation is only lower than that of the diagonal quasi-linear approximation. It is suitable for geoelectric models with the ratio of anomalous conductivity to background conductivity of 2 ~ 3 orders of magnitude. The precision of scalar quasilinear approximation method and local quasi-linear approximation method is low, which is only suitable for cases where the ratio of anomalous conductivity to background conductivity is less than two orders of magnitude.
【作者单位】： 吉林大学地球探测科学与技术学院;
【基金】：国家深部探测技术与实验研究专项(SinoProbe-03-05) 国家重大科学仪器设备开发专项(2011YQ05006009)~~
【分类号】：P631.325
【正文快照】： 0引言积分方程法在计算总场时形成的矩阵是稠密矩阵,对于小规模三维数值模拟,积分方程法占据着精度高和速度快的优势;但随着异常区域规模的增大,积分方程法对内存的需求和计算时间都会急剧增加,限制了该方法在三维反演中的应用。为克服积分方程法这个缺点,很多学者将目光放在，

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