Application of reduced normal equation in least squares adjustment with velocity model for crustal movement analysis.
スポンサーリンク
概要
- 論文の詳細を見る
A special technique of network adjustment is developed for analysis of leveling data that are obtained in the area where the remarkable crustal movements are prevailing. We applied velocity model in which not only corrections to the assumed height but also rate of vertical deformation linear with time at the bench marks are assumed to be unknowns in order to take into considerations of the effect of rapid vertical crustal movements to the results of survey. On the other hand, we have sometimes tidal stations along the sea coast of the discussed region and vertical rate of crustal move ments are able to be deduced from analysis of tidal data. Thus it is desirable to com bine the determined rates at some tidal stations with the leveling data in the network adjustment. The type of present adjustment with velocity model is proved to be a specialized case of least square adjustment of network with signals under deterministic approach. Let X be corrections to the assumed coordinates, a vertical rate of deformation, and f numerical term relating to the survey data and approximated coordinates, then the observation equation is generallyV+AX+Ha=fwhere A and H are coefficient matrices of vector X and a, V is residual vector applied to the observational results. We apply least squares collocation to the above equation. In numerical calculation, we have four fundamental cases. Except the case of all free parameters in which none of X and a are fixed and A as well as H are singular, we can apply reduced normal equation for obtaining X and a separatelly. According to the type of network with some fixed heights or fixed velocities and both A and H or one of them is regular, we apply different formulas. Thus formulas for all four cases are given in the text for obtaining X and a as well as their variance-covariance matrices.
- 日本測地学会の論文
日本測地学会 | 論文
- 月衝突盆地補償メカニズムの比較研究
- 重力異常に基づく糸魚川 - 静岡構造線北部の構造解析
- 台湾・竹崎観測室で観測された非等方性潮汐歪
- 電波無反射室におけるGPS測量用アンテナの位相特性の測定(続報)
- 4way ドップラー計測のロック判定方法と軌道上での検証