摘要
在波场的正变换中,保证瞬变电磁场的计算精度的同时,应用两步最优化算法,成功地控制和减少了积分系数个数和离散数字积分的采样点个数,解决了在波场反变换式中,由于积分系数过多而产生的欠定方程组的问题,同时改善了第一类算子方程的不适定性.在波场反变换中,将正则化算法用于逆变换过程的计算中,通过采用偏差原理和Newton迭代格式选出最优的正则化参数,使得反变换所得到的波场稳定、可靠.通过对数值计算结果与已知波场函数对比,证明了该方法的有效性和实用性.
During the forward transformation of wave-field, in order to decrease the number of integral coefficients and the sampling number of dispersed digital integral, as while as ensure transient electromagnetic field calculation precision, the two-step optimized method has been proposed. This method can deal well with ill-posed question produced by large amount of integral coefficients and depress the ill-posed problem of the first calculator function. During wave-field inverse transformation, the normalized method are adopted, optimizing normalized parameters are selected by the deviation theory and the Newton iterative form to make the transformed wave field stable and reliable . The comparison between numerical results and known wave-field function values shows that the method put forward in this paper is effective and useful.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2005年第5期1185-1190,共6页
Chinese Journal of Geophysics
基金
教育部"教育振兴行动计划"项目
国家973项目(2002CB412702)
中国科学院知识创新工程重要方向项目(KZCX3SW134)资助.
关键词
瞬变电磁场
波场变换
最优化
正则化算法
Transient electromagnetic field, Wave-field conversion, Optimization, Method of normalization
作者简介
李貅,男,1958年生,西安交通大学在职博士生,长安大学副教授,1982年毕业于长春地质学院物探专业,1989年获西安地质学院应用地球物理硕士学位,主要从事瞬变电磁场的理论与应用的研究工作.E-mail：Lixiu@chd.edu.cn。
