摘要
研究了Ｂｊｅｒｈａｍｍａｒ球面单层密度时变实用解算理论和稳定算法。从利用重复大地测量数据联合确定Ｂｊｅｒｈａｍｍａｒ球面单层密度时变基本理论出发，推导了不同Ｂｊｅｒｈａｍｍａｒ球面上ｑ＊ｔ和δＷ＊ｔ之间的一般解式；分析研究了ｑ＊ｔ的迭代求解过程和收敛特性，得出其收敛稳定性很大程度上取决于Ｒ值的结论，同时给出了界限Ｒ的关系式；提出了解求ｑ＊ｔ的分步迭代算法，该算法从理论上解决了以前算法存在的收敛稳定问题（Ｒ较小时），并指出：地表观测点ｑｔ的确定应遵循匹配处理准则，即各观测点数据应蕴含相同物理过程。最后给出了ｑ＊ｔ的精度评估公式。
The practical theory for computing the time change of the single layer density on the Bjerhammar sphere and its stable algorithm are systematically and deeply studied as follows: (1) From the basic theory determining the time change of the single layer density on the Bjerhammar sphere by use of the repeat geodetic data, the general formula of q * t and δW * t amonge the different Bjerhammar spheres is derived. (2) The iterating and solving process of q * t are analyzed, the conclusion is that the process of iteration and convergence is very complex, and that the convergence and stability of which are mostly depended on the R value, meanwhile the relative formula of bounding R value is obtained. (3) Based on the researches, the algorithm of steping iteration for q * t is put forward, which theoretically resolves the problems about the convergence and stability presented at the past solution (when R is smaller). (4) The determination of the q * t of the measured spot on the surface should follow the criteria of matched treatment: the every data should reflect the same physic process. (5) The method or formula of estimating the precision of q * t are given.
出处
《地壳形变与地震》
CSCD
1999年第2期9-16,共8页
Crustal Deformation and Earthquake
基金
中国地震局地震科学联合基金
关键词
单层密度
时间变化
地壳变形
地震前兆
大地测量
time change of the single layer density, steping iterative algorithm, matched treatment, convergence and stability
