CAJ | 학술논문

尖锐边界反演是大地电磁及其他地球物理反演中的一个较难解决的问题,目前有不少专家正对这方面进行研究.我们在分析了Zhdanov(2004)提出的基于最小支撑泛函聚焦反演方法的基础上,在目标函数中引入对角梯度支撑以改善倾斜电性分界面的反演效果.同时,为了提高计算效率,本文还使用互易定义计算灵敏度矩阵及使用正则化共轭梯度法优化目标函数.通过模型试验并与未引入对角梯度支撑的反演结果进行了比较,表明本文的方法反演效果更好而且算法稳定和实用.
첨예변계반연시대지전자급기타지구물리반연중적일개교난해결적문제,목전유불소전가정대저방면진행연구.아문재분석료Zhdanov(2004)제출적기우최소지탱범함취초반연방법적기출상,재목표함수중인입대각제도지탱이개선경사전성분계면적반연효과.동시,위료제고계산효솔,본문환사용호역정의계산령민도구진급사용정칙화공액제도법우화목표함수.통과모형시험병여미인입대각제도지탱적반연결과진행료비교,표명본문적방법반연효과경호이차산법은정화실용.
Sharp boundary inversion is a relatively difficult problem in magnetotelluric (MT) and other geophysical inversion, which has been studied by many researchers. We analyze the focusing inversion which is based on the minimum gradient support functional provided by Zhdanov, M. S.(2004), and introduce a diagonal gradient support into the objective function to improve the presentation of oblique geo-electrical interface. Certain models are designed to test this method in the paper. Compared with the results inversed by the focusing inversion without diagonal gradient support, the shape of oblique geo-electrical interface really displays better, this new algorithm is also proved to be stable and practical. Meanwhile, in order to improve the computing efficiency, reciprocity theorem is used to calculate sensitivity matrix, and regularized conjugate gradient method is introduced to solve the objective functional minimum.