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重磁异常波谱的截断影响及KALMAN滤波
引用本文:黄国祥,潘海汝,余运洋.重磁异常波谱的截断影响及KALMAN滤波[J].中南大学学报(自然科学版),1987(4).
作者姓名:黄国祥  潘海汝  余运洋
作者单位:中南冶金学院地质系,中南冶金学院地质系,中南冶金学院地质系
基金项目:Project supported by the Science Fund of the Chinese Acidemy of Sciences
摘    要:本文研究了重磁异常波谱的截断影响。指出有限离散截断对数振幅谱与理论对数振幅谱的差别可分为中间的符合段和差异较大的高、低频段;且从中间段向高频段之间的转折点附近出现振荡现象;随着波数的增大,这种振荡现象消失,从而形成上翘的尾巴。据此,可与带有随机干扰的对数振幅谱相区分开。作者在这种形态特征的基础上,首次提出用Kalman滤波的方法来消除截断影响以及用此法由重磁异常截断谱近似恢复真谱的基本理论。文未通过在波数域中作下延的模型计算,给出了截断区为场源埋深3倍左右的成功实例。

关 键 词:重力异常  地磁异常  谱分析(数学)  卡尔曼滤波  数据处理  随机干扰  截断估计  有限域  解析开拓  向下延拓  截断影响

FINITE LENGTH EFFECT AND KALMAN FILTERING IN THE SPECTRAL ANALY-SIS OF GRAVITY AND MAGNETICS
Huang Guoxiang,Pan Hairu,Yu Yunyang.FINITE LENGTH EFFECT AND KALMAN FILTERING IN THE SPECTRAL ANALY-SIS OF GRAVITY AND MAGNETICS[J].Journal of Central South University:Science and Technology,1987(4).
Authors:Huang Guoxiang  Pan Hairu  Yu Yunyang
Institution:Huang Guoxiang;Pan Hairu;Yu Yunyang Department of Geology
Abstract:This paper deals with the finite length effect in the gravity and magnetic spectral analysis, and proposes a method by means of Kalman filter to reduce the effect. With the method t sted on the theoretical models the results show that it is effective, even when the finite length is about threetimes the depth of the field soure.
Keywords:gravity anomaly  geomagnetic anomaly  spectral analysis (mathematics)  Kalman filtering  date handling  random disturbances  jeckknife estimations  finite field  analytic continuation  downward continuation  finite length effect
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