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Example of travel-time diagrams for an earthquake. Reduction velocity is 7.5 km/s. Solid circles show travel time data. 

Example of travel-time diagrams for an earthquake. Reduction velocity is 7.5 km/s. Solid circles show travel time data. 

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First P-wave arrival times recorded by the seismic network in the Ryukyu arc were analyzed in order to image the lateral variation in crustal thickness beneath the Ryukyu arc. The results indicate a low P n velocity (7.5 km/s) in the Ryukyu arc and a relatively high P n velocity (7.9 km/s) in the Okinawa Trough. The crustal thickness changes betwee...

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... Ryukyu arc is an approximately 1200-km-long island arc that runs along the Ryukyu Trench between Kyushu Island and Taiwan. The Philippine Sea plate subducts beneath the Eurasian plate northwestward. The Okinawa Trough, which is at the beginning of the rifting stage and extends toward the NW-SE (Sibuet et al. , 1995), is located northwest of the Ryukyu arc. The northern-and-central and southern parts of both the Ryukyu arc and Okinawa Trough have different characteristics. The Ryukyu arc and the Okinawa Trough are divided geologically into three blocks (northern part, central part, and southern part) that are bounded by the Tokara Strait and the Kerama Gap (Konishi, 1965) ( Fig. 1). The southern Okinawa Trough (SOT) and the northern-and-central Okinawa Trough (NCOT) have different features. The NCOT is a gentle depression with a maximum bathymetric depth of 1000 m. In contrast, the SOT consists of a broad and flat basin with a bathymetric depth of 2000 m. In the northern-and-central Ryukyu arc, the volcanic front is located to the east of the axis position of the Okinawa Trough (Fig. 1); in the southern Ryukyu arc, the volcanic front is located at the axis of the Okinawa Trough. Surveys conducted using an ocean bottom seismometer (OBS) have revealed a distinct difference in crustal structure between the northern-and-central Okinawa Trough and the SOT. The Moho in the NCOT is flat, with a crustal thickness of 26 km; in contrast, the crustal thickness is 18 km in the SOT. Several OBS surveys have been carried out in the Ryukyu subduction zones in order to image the crustal structures and OBS velocity models have been con- structed to model crustal thickness and P n velocity for the various parts of the Ryukyu arc and Okinawa Trough. Ac- cording to the respective models, the crustal thickness and P n velocity for the northern Ryukyu are 26 km and 7.6 km/s, respectively (Iwasaki et al. , 1990); for the central Ryukyu arc, 26 km and 7.7–7.8 km/s, respectively (Nakahigashi et al. , 2001); for the SOT, 15 km and 8.2 km/s, respectively (Lee et al. , 1980); for the SOT, 18 km and 7.8 km/s, respectively (Hirata et al. , 1990). The results of a gravity anomaly analysis aimed at deter- mining the crustal structure provides support for the results of the seismic survey. The crust model estimated from the gravity anomaly also reveals differences in crustal thickness between the central Okinawa Trough and the SOT (Sibuet et al. , 1995). Although crustal thickness is generally regu- lar in the NCOT, that in the SOT is thinner beneath the axis and thickens in increasing distance from the axis. Therefore, according to the model predictions, crustal thickness is different between the NCOT and the SOT, and this difference may affect the crustal structure in the Ryukyu arc. The change in crustal thickness along the Ryukyu arc may yield clues to the tectonic process of the extension of the Okinawa Trough. With the aim of inves- tigating the crustal structure along the Ryukyu arc, we imaged variations in crustal thickness and averaged P n velocity. We selected 96 events with depths 20 km and magni- tudes > 3.5 from the Japan Meteorological Agency (JMA) catalog. The P n travel time data from the 19 stations of the JMA network and one station from the National Research Institute for Earth Science and Disaster Prevention (NIED) network were used to investigate the variations in crustal thickness. Almost all of these stations are distributed along the Ryukyu arc. Data from a station located in the Philippine Sea plate (MINAM2) were also included in the study. A total of 744 first P -wave arrival time data were selected from all of the events that occurred from January 1997 to August 2003. The epicentral distances are in the range of 150–550 km from the stations (Fig. 2). Ray paths for the data set are shown in Fig. 3. Most of these P n arrivals passed along the Ryukyu arc. The travel time residuals were inverted for station delays and event delays using the modified time-term equation (Hearn et al. , 1994): where a i is the static delay for station i , b j is the static delay for event j , d i jk is the distance traveled by ray i j in mantle cell k , and S k is the slowness (inverse of P n velocity) of cell k . The P n velocity in the cell has been changed in three areas: the Okinawa Trough (OT) area, Ryukyu arc (RA) area, and the Philippine Sea plate (PHS) area (Fig. 3). The boundary between the Philippine Sea plate and the Ryukyu arc is set to the position of the Ryukyu Trench, while that between the Ryukyu arc and the Okinawa Trough is set to the position of the western margin of the Ryukyu arc, where the Ryukyu arc is separated from the Okinawa Trough by faults. The delay between the stations at NAKANO and KUCHIE, which are located north of the Ryukyu arc, has been fixed to 2.6 s using the velocity structure (Iwasaki et al. , 1990). Figure 4 shows the variation in root mean square (RMS) travel time residuals as a function of P n velocity in each area. It can be seen from this figure that the minimum RMS travel time residuals of P n velocity in the Philippine Sea plate cannot be constrained well. We then imaged the RMS, fixing the P n velocity of the Philippine Sea plate at 8.0 km based on the refraction survey in the Philippine Sea plate (Murauchi et al. , 1968; Nishizawa et al. , 1983; Iwasaki et al. , 1990; Kodaira et al. , 1996). The minimum RMS is 0.57 s when the P n velocity beneath the Okinawa Trough and the Ryukyu arc are 7.9 and 7.5 km/s, respectively. Errors in the inversion were examined using the bootstrap method (Hearn and Ni, 1994). The averaged error in the station delays is 0.2 s. The maximum error in the station delays is 0.5 s and the maximum error in the P n velocity estimation is < 0.1 km/s. The largest errors in station delays occur at the Minami-Daito Island (MINAM2), which is located in the Philippine Sea plate. The station delays between the northern-and-central Ryukyu arc (range 2.4–3.8 s) and the southern Ryukyu arc (range 2.9–4.6 s) are an indication of differences in features between these two areas. The station delay at TAMAG2 station reaches 3.8 s, that at MINAM2 (PHS) reaches 1.7 s, and those near the Okinawa Trough range from 2.6 to 2.9 s. The errors of the station delays are less than 0.5 s. The station delays were converted to crustal thickness assuming a mean crustal velocity and mean mantle velocity of 5.9 and 7.5 km/s, respectively (Table 1). The station delay at MINAM2 is converted to crustal thickness assuming a mean crustal velocity and mean mantle velocity of 6.0 and 8.0 km/s, respectively (Murauchi et al. , 1968). The estimated crustal thickness is shown in Fig. 5. For the southern Ruykyu arc, it ranges from 29 to 44 km; for the northern-and-central Ryukyu arc, 23–37 km; for the Moho, 27–29 km near the Okinawa Trough. Crustal thickness at MINAM2 is estimated to be 16 km. The errors in the crustal thicknesses are < 5 km. The P n velocities in the Ryukyu arc and Okinawa Trough are 7.5 and 7.9 km/s, respectively. To check the results, we added the random noise of 20 km for the horizontal vector and 10 km for the vertical vector to the hypocenters and cal- culated the inversion. The maximum change in the station delays is 0.3 s, corresponding to a change in crustal thickness of 3 km. The changes in P velocities are 0.1 km/s. Based on our study results, the P n velocity in the Okinawa Trough is 7.9 km/s; as such, it is similar to that obtained from refraction experiments in the Okinawa Trough (Lee et al. , 1980; Hirata et al. , 1990; Nakahigashi et al. , 2001). The time-term inversion of P n in the Kyushu area in- dicated that the P n velocity beneath the Kyushu is 7.7 km/s. A refraction experiment in the south Kyushu area showed the P n velocity to be 7.8 km/s (Ono et al. , 1978). It would therefore appear that the P n velocity beneath the Okinawa Trough is similar to that beneath Kyushu Island. In contrast, the P n velocity beneath the Ryukyu arc is 7.5 km/s. The results of an earlier study in the northern Ryukyu arc suggested that the P n velocity is ≤ 7.6 km (Iwasaki et al. , 1990). Consequently, the P n velocity beneath the Ryukyu arc is close to that beneath the Kyushu Island. The crustal thickness ranges from 23 to 37 km in the northern-and-central Ryukyu arc. The crustal thickness at the center of the NCOT, based on data from refraction seismic surveys and gravity anomaly, has been estimated to be 26 km (Sibuet et al. , 1995). Thus, the crustal thickness in the NCOT and northern-and-central Ryukyu arc changes gradually from 23 km to 37 km, showing a flat Moho. This suggests that the extension area of crustal thinning is wide in the NCOT. The crustal thickness ranges from 29 to 44 km in the southern Ryukyu arc. ...

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