大地测量反演中参数可辨识性问题

Identifiability of Parameters for Geodetic Inversion

大地测量反演是进行大地测量物理解释研究的重要手段。在反演中 ,参数选择及求解(参数辨识 )的正确性必须确保。本文根据有代表性的准则函数推演出大地测量反演参数可辨识条件 ,给出其适用范围 ;在概括了典型的大地测量力学模型基础上 ,讨论了其反演参数可辨识性问题 ;利用有限元数值反演算例验证了参数可辨识性的结论。表明 :大地测量反演参数可辨识条件及其可辨识性的结论 ,体现了确定大地测量反演参数 (种类和个数 )理论上的必要性。

The geodetic inversion, in which the parameter ascertainment and the validity of solution must be guaranteed, is a particular important means for geodetic physical interpretation. In this paper, the identifiable conditions are derived from the representative criterion function and their application scope is given. Then the typical geodetic dynamic models are summarized and the identifiability of parameters is also discussed. After that, the result that parameters can be identified is validated using the method of finite element value inversion in an example. In conclusion, the importance of determining the parameters (classification and number of parameters) for geodetic inversion in theory is illustrated by the identifiable conditions and their identifiability of parameters for geodetic inversion.