Post-seismic deformation jointly estimated by multi seafloor geodetic stations
The coordinate time series of the seafloor reference station can be used for monitoring the submarine earthquake.Due to limitation of the observation condition and high-cost of the re-measurement,the positioning accuracy of the seafloor geodetic station is relatively low and it is also difficult to obtain seafloor geodetic coordinate time series of high temporal-resolution for the seafloor geodetic station deformation.For the geodetic coordinate time series of small sample and discontinuity,we propose a joint estimation model with station velocity and post-seismic deformation as the common parameters of adjacent reference stations.Furthermore,the post-seismic deformation relaxation factors of N and E directions are also treated as common parameters to be estimated;meanwhile,we propose an one-step method for solving the linear-nonlinear mixed model where the linear parameters include the station coordinates and station velocity and the nonlinear ones are the post-seismic deformation parameters.The test results show that,compared with the single station estimation model,the proposed joint estimation model can overcome the small sample and relatively low accuracy of the seafloor geodetic coordinate series.Compared to the two-step method producing the station velocity and post-seismic deformation parameters independently,the one-step method is more rigorous to effectively estimate the post-seismic deformation parameters.