摘要
基于单层位理论，可以将地球外部重力位的时间变化表示成Bjerhammar球面上密度为δ_t~*λ的广义单层位，其中δ_t~*λ系虚拟密度扰动，其物理意义是作为地球重力场场源的地球内部物质密度的时间变化在层面上的压缩。由于场的时空特征揭示了其细微结构，则δ_t~*λ从本质上描述了地球内部密度异向分布的时变特征。为实现上述思想，本文借助Bjerhamm-ar换置技术以构制δ_t~*λ，它表征为δ_t~*w和q~*的线性组合，这里的δ_t~*w和q~*依次是类时重力位扰动和重复观测数据——类时重力异常及类时位异常在虚拟层面上的解析延拓。最后的求解框架式（33），将外部重力位及地球内部密度的时间变化综合在一起，其结构简单，奇异性弱，便于付诸实施。
:
On the basis of single layer potential theory, the time variation of external gravity potential can be expressed as generalized single layer potential, with density on Bj-erhammar's spherical surface. Here is fictitious density disturbance, it's physical meaning is the compression of the time variation of interior mass density of the earth (being taken as the field surface of earth's gravity field) on the layer surface. Since space-time feature of a field revals it's fine structure, describes in essence the time variation feature of the distribution of the interior density in different direction. In or der to realize the above mentioned thought, with the help of Bjerhammar's transformat ion technique, is formed as the linear combination of and q*, which stand for separately time-like gravity potential disturbance and the analytic continuation of repeat ed observations (time-like gravity anomaly and time-like potential anomaly) onto the fi ctitious single layer. In the final solving frame i. e. Eq. (33), the time variation of external gravity potential is combined with the time variation of the interior density of the earth together. This solution is simple in construction, weak in singularity, and con venient for practical application.
出处
《测绘学报》
EI
CSCD
北大核心
1990年第3期200-207,共8页
Acta Geodaetica et Cartographica Sinica
