Regularized reconstruction of peak ground velocity and acceleration from very high-rate GNSS precise point positioning with applications to the 2013 Lushan Mw6.6 earthquake

Abstract Difference methods have been routinely used to compute velocity and acceleration from precise positioning with global navigation satellite systems (GNSS). A low sampling rate (say a not greater than 1 Hz, for example) has always implicitly assumed applicability of the methods, because random measurement errors are significantly amplified, either proportional in case or square-proportional acceleration. Direct consequences distortion computed waveforms failure obtain almost instantaneous values We reformulate reconstruction very high-rate (50 Hz) GNSS as an inverse ill-posed problem propose criterion minimum mean squared (MSE) regularize solutions successfully apply MSE-based regularized method reconstruct waveforms, peak ground (PGV) (PGA) 50 Hz point (PPP) position 2013 Lushan Mw6.6 earthquake. The reconstructed results shown be good agreement motion patterns PPP correctly recover earthquake signal. GNSS-based PGA few hundred times smaller those strong seismometers.