摘要
从线性代数中基的概念出发，导出古地磁数据坐标转换的一般公式，并将其应用于：（１）古地磁方向校正；（２）多磁组分强度分离．
This paper deduced a general formula for the coordinate transformation of paleomagnetic datafrom the concept of 'base' in Linear Algebra and applied it to: (1 )the correction of paleomagneticdirection (i. e., tilt and /or tectonic corrections); (2)the separation of remanent magnetizationintensities of multicomponent on the basis of principal component analysis for paleomagneticdemagnetization data.Coordinate transfomation is a primary step in palecomagnetic data processing. Inpaleomagnetism only in sample coordinate can the magnetization directions be measured directly,so, before any statistic analysis of directions from different samples can be made, these directionsmust be transformed from their own sample coodinate system to a common one, such as the presentgeographical coodinate (in situ) and an ancient horizontal plane (Senerally, a bedding plane),Usually, there are two steps in the coordinate transformation of paleomagnetic directions, firstly,from sample coordinate to present geographical coordinate, and then to the bedding coordinate (orany other coordinate). The in situ directions are necessary for the field tests to yield the constraintSon the age of the acquisition of remanent magnetizations.Theoretically, any common coordinate system is feasible, and directions in three dimensionscan be transformed to two dimensions (e. g., remanent magnetization directions can be projected toa plane). If a proper coodinate is chosen, i. e., the plunge axis corresponds to the X -- axis, the tiltand tectonic corrections can be comprehended in one correction, and the correction of paieomagneticdirections becomes easier and more straightforward. When the paleomagnetic demagnetization daalare transferred to the coordinate system whose base is composed of the unit vectors of themulticomponent remanent magnetizations as the result of stepwise demagnetization and principalcomponent analysis, it will come out the separation of the intensities of multicomponent and presentthe important information for the laboratory stability spectrums of the multicomponent and rockmagnetic analysis.
基金
国家自然科学基金
关键词
古地磁
坐标转换
多组分强度分离
稳定性谱
palecomagnetism
coordinate transformation
intensity separation of multicomponent
stability spectrum
