Improved capture of ultra-high-rate GNSS co-seismic displacement waveforms with dynamic stress error correction for general geodetic GNSS receivers
摘要
In recent years, Global Navigation Satellite System (GNSS) receiver and antenna technologies have advanced considerably, making it possible to capture ultra-high-rate (e.g., > 5 Hz) co-seismic displacement waveforms that rely solely on GNSS data. However, accurate capture of ultra-high-rate seismic signals is not simply a matter of setting the receiver’s sampling rate to a sufficiently high level, as strong shaking induces dynamic stress errors into the phase-locked loop inside the GNSS receiver. Although some classic dynamic stress error correction methods have been proposed, they do not work for general geodetic receivers with unknown tracking loop parameters. In this study, aiming at these receivers, we propose a frequency-domain scheme to model and correct dynamic stress errors. In this scheme, the outputs from a shake table or integrated displacements of accelerometers serve as references to develop a frequency-dependent polynomial model of dynamic stress errors. A single-axis shake table with a mounted geodetic GNSS antenna and a three-axis accelerometer is used to perform a series of sinusoidal wave and seismic wave experiments. Results show that the average root mean square value of corrected solutions for 33 experiments is only 0.20 cm, representing a 90% improvement compared to uncorrected solutions of 2.00 cm. More importantly, the systematic bias in raw GNSS displacements, attributed to dynamic stress errors, has been effectively eliminated in the corrected GNSS displacements. In addition, the results also indicate that our scheme is capable of extracting a reliable dynamic stress error model from seismic wave displacements obtained through accelerometer integration, which means that the scheme holds great potential for practical applications outside of the laboratory environment. We think that the frequency-domain scheme presented in this study can be applied not only to ultra-high-rate GNSS co-seismic displacement waveform recovery but also to other high-dynamic applications, such as structural monitoring and high-frequency navigation.