State Key Laboratory of Geo-Information Engineering, Xi’an 710054, China
2.
Xi’an Research Institute of Surveying and Mapping, Xi’an 710054, China
3.
School of Geological and Surveying Engineering, Chang’an University, Xi’an 710054, China
4.
Chinese Academy of Surveying and Mapping, Beijing 100036, China
Funds:
The National Natural Science Foundation of China under contract No. 41931076; the National Center for Basic Sciences Project under contract No. 42388102; the Laoshan Laboratory under contract No. LSKJ202205100.
Spatio-temporal variation of sound speed, in seafloor geodetic precise positioning, can always be attributed to the time error. Firstly, this paper analyzes the existing error compensation model, i.e. the time ratio model, which is expressed by the recorded time multiplying a ratio coefficient. And then a time split model is proposed by expressing the acoustic ray traveling time as the recorded time pluses a perturbation time error. The theoretical differences between the proposed time bias compensation model and the time ratio model are analyzed. Under the new framework, sound speed perturbation models with optimal single-layer spatial gradient and multi-layer spatial gradients are developed to compensate for sound speed error in the complex cases. Numerical computation shows that the simple time split model keeps the same accuracy as some complicated models while considering the distribution of random error. Furthermore, single-layer model and multi-layer model can improve the positioning accuracy without putting the pressure on parametrization.
DownLoad:
