从化极算法误差方程看各种波数域低纬度化极方法

Discussion of wavenumber domain RTP methods at low latitudes

本文以化极算法误差方程为理论工具揭示了三类波数域低纬度化极方法各自的误差规律,并据此对三类方法进行了化极效果评估、功能定位和应用条件界定。压制类化极方法可以且只能用于低纬度磁异常定性解释;波数域反演化极法可以用于低纬度磁异常定量解释,其条件是数据完整覆盖异常,数据边界尽量简单;波数域偏移抽样化极方法也可以用于低纬度磁异常定量解释,其条件除数据完整覆盖异常,还要求数据精度高于0.2%,且磁偏角方向的数据网格规模不大于64×64。文中应用化极算法误差方程对波数域反演化极方法误差规律的揭示,是对该方法的重要理论补充,使之更加严谨和完善。本文导出的v轴分离法则丰富和发展了偏移抽样类化极方法。

Using RTP A-E equation as theoretical tool,we discus in this paper the respective error laws of the three kinds of wavenumber domain RTP methods of magnetic anomaly at low latitudes.Thereafter,we give our effect evaluation,function position and definition of application condition for these RTP methods.The suppression RTP methods can only be applied to qualitative interpretation of magnetic anomaly at low latitudes.The inversion RTP method may be applied to quantitative interpretation of magnetic anomaly at low latitudes if data completely cover anomalies and the edge data condition is simple.The shift sampling methods may also be applied to quantitative interpretation of magnetic anomaly at low latitudes if data completely cover anomalies,the high precision of the edge data is more 0.2%,and the defined data size in declination is less than 64.The revelation of error law of the inversion RTP method by RTP A-E equation is an important theoretical complement which makes the inversion RTP method more rigorous and perfective.The v-axis separation method derived in this paper can be considered as an improvement of the shift sampling RTP methods.