Introduction
We derive the rupture process of the 2016 Urakawa-oki earthquake (Mj 6.7) at 12:25 on January 14 (JST) using the near-source strong-motion data.
Data
Strong motion data recorded at 13 stations (7 K-NET stations, 5 KiK-net stations, and 1 F-net station) shown in Figure 1 are used in the inversion analysis. The velocity waveforms (converted by integration of the original K-NET and KiK-net accelerations) are band-pass filtered between 0.1 and 1.0 Hz, resampled to 5 Hz and windowed from 1 s before S-wave arrival for 15 s.
Fault model and discretization of the rupture process
We assume the 22 km x 22 km rectangular fault model that has a strike of 211 degrees and a dip of 28 degrees based on the F-net moment tensor solution.
The rupture starting point is set at 41.9702N, 142.8012E, and a depth of 51.51 km, which is the hypocenter determined by JMA.
The rupture process is spatially and temporally discretized following the multiple-time-window linear waveform inversion scheme (Olson and Apsel, 1982; Hartzell and Heaton, 1983).
For the spatial discretization, the fault plane is divided into 11 subfaults along the strike and 11 subfaults along dip directions, with a size of 2 km x 2 km each.
For the temporal discretization, the moment rate function of each subfault is represented by 5 smoothed-ramp functions (time windows) progressively delayed by 0.4 s and having a duration of 0.8 s each.
The first time window starting time is defined as the time prescribed by a circular rupture propagation with the constant speed of Vftw.
Thus, the rupture process and the strong-motion waveforms are linearly related via Green's functions.
The Green's functions between each subfault and each station are calculated using the discrete wavenumber method (Bouchon, 1981) and the reflection/transmission matrix method (Kennett and Kerry, 1979) assuming a 1-D layered velocity structure model.
The underground structure model is obtained for each station from the 3-D structure model (Fujiwara et al., 2009).
Logging data is also referred to for the KiK-net stations.
To consider the rupture propagation effect inside each subfault, 25 point-sources are uniformly distributed over each subfault in the calculation of Green's functions.
Waveform inversion
Moment of each time window at each subfault is derived by minimizing the difference between the observed and the synthetic waveforms using the least-squares method. To stabilize the inversion, the slip angle is allowed to vary within ±45 centered at 95 degrees, which is the rake angle of the F-net moment tensor solution, using the non-negative least-squares scheme (Lawson and Hanson, 1974). In addition, we impose the spatiotemporal smoothing constraint on slips (Sekiguchi et al., 2000). The weight of the smoothing constraint is determined based on ABIC (Akaike, 1980). Vftw is selected to minimize data-fit residual.
Results
Figure 2 shows the total slip distribution on the fault.
Figure 3 shows the rupture progression.
Figure 4 shows the comparison between the observed and the synthetic waveforms.
Vftw, the maximum slip, and the seismic moment are 4.0 km/s, 0.7 m, and 7.0×1018 Nm (Mw 6.5), respectively.
Large slips are found in the region around the rupture staring point.
The rupture mainly propagated from the rupture staring point to the north-northeast.
Please note that this analysis is tentative and may be modified after the further examination.
