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LEER Earth lanets Space, 58, 587 592, 26 Revisiting the three M 7 Miyagi-oki earthquakes in the 93s: possible seismogenic slip on asperities that were re-ruptured during the 978 M=7.4 Miyagi-oki earthquake Norihito Umino, oshio Kono, omomi Okada, Junichi Nakajima, oru Matsuzawa, Naoki Uchida, Akira Hasegawa, Yoshiaki amura 2, and Gen Aoki 3 Research Center for rediction of Earthquakes and Volcanic Eruptions, Graduate School of Science, ohoku University, Aramaki Aza Aoba, Aoba-ku, Sendai, Miyagi 98-8578, Japan 2 National Astronomical Observatory of Japan, Hoshigaoka 2-2, Mizusawa, Iwate 23-86, Japan 3 Sendai District Meteorological Observatory, Gorin -3-5, Miyagino-ku, Sendai, Miyagi 983-842, Japan (Received November 3, 25; Revised February 8, 26; Accepted February 24, 26; Online published February 2, 27) Hypocenters of main shocks and aftershocks of the 933 M=7., 936 M=7.4, 937 M=7. and 978 M=7.4 Miyagi-oki earthquakes are relocated using S- times reported in the Seismological Bulletin of the Japan Meteorological Agency (JMA) and those re-read from original smoked-paper seismograms observed at the Mizusawa station of the National Astronomical Observatory of Japan (NAOJ) and the Mukaiyama station of ohoku University. In order to reduce the error caused by inaccuracies of the arrival times and the small number of seismic observation stations, we determined the hypocenters by using a grid search method that assumed that the events occurred at the boundary between the subducting acific plate and the overriding plate. he main shock epicenters of these four earthquakes were determined to be close to each other, while the distributions of their aftershocks seem to disperse on the upper boundary of the acific plate. hese distributions show that aftershock areas of the 933, 936 and 937 events partly overlap with that of the 978 event and occupy its easternmost, central and westernmost portions, respectively. his result suggests that the 933, 936 and 937 events possibly ruptured a part of the source area of the 978 event, i.e., its eastern, central and western portions, respectively. Key words: Miyagi-oki earthquake, asperity, interplate earthquake, subduction zone, smoked-paper seismogram.. Introduction An M=7.2 interplate earthquake occurred in the Miyagioki region, northeastern Japan, at :46 (JS) on August 6, 25. Historical and seismic records indicate that large interplate earthquakes with magnitudes of 7.5 have occurred repeatedly in this region with a recurrence interval of 37 years since 793 (he Headquarters for Earthquake Research romotion, MEX, Japan, 2). he previous Miyagi-oki earthquake occurred on June 2, 978, with magnitude of 7.4. Okada et al. (25) estimated the locations of the main shocks and aftershocks of the 25 M=7.2 and 978 M=7.4 events using a double difference hypocenter locations algorithm (Waldhauser and Ellsworth, 2). heir study revealed that the aftershock area of the 25 earthquake partly overlapped the southern/southeastern area of the 978 aftershock zone. he coseismic slip area of the 25 event also partly overlapped with that of the 978 event, suggesting that the 25 event ruptured only part of the source area of the 978 event. he Miyagi-oki earthquake that occurred before the 978 M=7.4 earthquake took place on November 3, 936 and had a magnitude of 7.4 (he Headquarters for Earthquake Research romotion, MEX, Japan, 2). Yamanaka and Copyright c he Society of Geomagnetism and Earth, lanetary and Space Sciences (SGESS); he Seismological Society of Japan; he Volcanological Society of Japan; he Geodetic Society of Japan; he Japanese Society for lanetary Sciences; ERRAUB. Kikuchi (24) estimated the coseismic slip area of this event by inverting the seismic waveform data observed at two nearby stations and found that it was located adjacent to an area southeast of the source area of the 978 event. anioka and Hasegawa (25) recently reported that the seismic moment of the 936 event was.68 2 Nm (M w =7.2) based on tsunami waveform inversions. Moreover, a pair of M=7. earthquakes occurred on June 9, 933 and July 27, 937, respectively, that ruptured regions adjacent to the 936 event. he Miyagi-oki sequence occurred in the context of similar sequences of interplate earthquakes off the east coast of northeastern Japan. Recent research suggests the existence of numerous asperities on the plate boundary in this region (Nagai et al., 2; Okada et al., 23; Yamanaka and Kikuchi, 23, 24; Matsuzawa et al., 24; Hasegawa et al., 25). hese asperities are distributed in patches surrounded by regions of stable sliding area. A seismic slip in these regions results in the accumulation of stress at the asperities. Asperities cause large slips upon failure, leading to earthquakes when the accumulated stress reaches the strength limit of the asperity. Consequently, the relative locations of the coseismic slip areas of these 93s earthquakes and those of the 978 earthquake may offer a key to understanding of the mechanism involved in the occurrence of interplate earthquakes and to predicting the location and the size of the next Miyagi-oki earthquake. However, pre- 587

588 N. UMINO et al.: REVISIING HE HREE M 7 MIYAGI-OKI EARHQUAKES IN HE 93s 4N 39E 4E 4E 42E 43E sec 5 4 (a) 4N Morioka Mizusawa Miyako -O time (Bulletin) 3 2 39N 38N 37N Ishinomaki Yamagata Sendai Mukaiyama Fukushima Onahama 978 M7.4 2 3 4 5 sec sec 5 4 (b) S- time (Bulletin) Fig.. Map showing the observation stations used in the present study. Stations of the Japan Meteorological Agency (JMA) are shown as open squares. Solid squares denote the Mukaiyama station, ohoku University and the Mizusawa station (National Astronomical Observatory), whose original smoked-paper seismograms are re-read in this study. Crosses show the JMA stations, whose data are not used in the present study. he star denotes the epicenter of the 978 event. cise estimation of the coseismic slip areas for these 93s events is not easy because of the lack of sufficient waveform data. Instead, we investigated the distributions of the aftershocks of the 93s earthquakes and compared these with those of the 978, assuming that the aftershock areas nearly correspond with the source areas of these main shocks. 2. Data Arrival times for - and S-waves for previous earthquakes are reported in the Seismological Bulletin of the Japan Meteorological Agency (JMA). We initially tried to determine the hypocenters of previous Miyagi-oki earthquakes from these arrival times. here are some questions as to the accuracy of the time of the previous arrival time data because of the seismological observation system at that time. Consequently, S- time data alone were used for locating hypocenters in this study. he locations of the JMA stations, whose S- times were used in the present study, are shown by open squares in Fig.. In this study, S- times at Mukaiyama station, ohoku University and those at Mizusawa station, NAOJ were repicked from the original smoked-paper seismograms. he locations of Mukaiyama and Mizusawa stations are also shown as solid squares in Fig.. he relationship between -O times and S- times at Mizusawa station from af- -O time (Bulletin) 3 2 2 3 4 5 sec S- time (his study) 933 936 937 Fig. 2. Distribution of -O times and S- times observed at Mizusawa station for aftershocks of the 933, 936 and 937 Miyagi-oki earthquakes. Squares, circles and diamonds denote arrival time data of aftershocks of the 933, 936 and 937 earthquakes, respectively. (a) -O times plotted against S- times using those listed in the bulletin of Mizusawa station. (b) -O times plotted against S- times using those re-picked from the original smoked-paper seismograms used in this study. Origin times (=O) are determined by the JMA location procedure and are listed in the Seismological Bulletin of the JMA. tershocks of the 93s Miyagi-oki earthquakes is shown in Fig. 2. he relation between -O times and S- times listed in the Bulletin of Seismological Observations at Mizusawa (he International Latitude Observatory of Mizusawa, 984) is shown in Fig. 2(a). In comparison, the relationship between -O times and S- times re-picked on the east-west component of the Omori seismograms used in the present study is shown in Fig. 2(b). A less scattered distribution of arrival times is clearly shown in Fig. 2(b); consequently, we adopted those S- times at the Mizusawa station instead of those listed in the Seismo-

N. UMINO et al.: REVISIING HE HREE M 7 MIYAGI-OKI EARHQUAKES IN HE 93s 589 4.5E 4.E 4.5E 42.E 42.5E 43.E 43.5E 44.E 4.5E 4.E 4.5E 42.E 42.5E 43.E 43.5E 44.E (a) 933 Miyagi-oki (b) 936 Miyagi-oki 38.N 38.N 37.N 37.N km km 4.5E 4.E 4.5E 42.E 42.5E 43.E 43.5E 44.E (c) 937 Miyagi-oki 4.5E 4.E 4.5E 42.E 42.5E 43.E 43.5E 44.E (d) 978 Miyagi-oki 38.N 38.N 37.N km 37.N km 3 days Fig. 3. Epicenter distribution of main shock and aftershocks. Stars denote the locations of the main shocks estimated from S- times in this study. riangles show the locations of aftershocks estimated by JMA. (a) Distribution of aftershocks of the 933 earthquake within month after the earthquake (squares). (b) Distribution of aftershocks of the 936 earthquake within month after the earthquake (open circles). (c) Distribution of aftershocks of the 937 earthquake within month after the earthquake (diamonds). (d) Distribution of aftershocks of the 978 earthquake within 3 days after the earthquake (solid circles). logical Bulletin of the JMA for locating hypocenters. S- times on seismograms of the Mukaiyama station were also re-picked in the present study and used in locating hypocenters. Because we assume that three 93s Miyagioki earthquakes took place on the plate boundary, their focal depths are fixed by the depths of the acific plate at those locations. he location of the plate boundary is established from aftershock distribution determined by OBS observations conducted immediately following the occurrence of the 25 Miyagi-oki earthquake (Hino et al., 25). In order to avoid errors caused by the small number of seismic observation stations, we determined hypocenters based on a 2-dimensional (2-D) grid search method by using S- times. Grid intervals are 2 km. heoretical S- times are calculated based on the velocity model adopted in the routine procedure of the ohoku University seismic network (Hasegawa et al., 978). In order to compare locations of aftershocks of the 93s events with those of the 978 one, we relocate these later events using this same procedure. 3. Epicenter Distribution of the Main Shocks and Aftershocks Epicenters of the main shocks and aftershocks are estimated from the 2-D grid search method based on S- times, assuming those events are interplate earthquakes. he number of valid S- times generally varies with the magnitude

59 N. UMINO et al.: REVISIING HE HREE M 7 MIYAGI-OKI EARHQUAKES IN HE 93s RMS of S- times (sec) 2 Aftershocks of 937 Miyagi-oki earthquake afs afs2 afs3 afs4 afs5 afs6 afs7 afs8 afs9 afs afs afs2 afs3 afs4 afs5 39N 38N (a) A 4E 42E 43E 44E 937 Miyagi-oki 4 3 8 2 5 5 3 2 6 B 7 2 4 6 8 Depth (km) 37N km 9 4 Japan trench Fig. 4. RMS residuals of S- times of aftershocks of the 937 M=7. earthquake estimated by the 3-D grid search method. Solid and open symbols denote aftershocks with distinct and obscure minimum values, respectively. Seven aftershocks (afs, 2, 5, 8,, 3 and 5) are well constrained by the 3-D grid search. of the event. We estimated epicenters of the aftershocks from at least four of S- time data sets. he epicenters that we obtained of the main shocks and aftershocks of the three 93s events and the 978 event are shown in Fig. 3. Stars indicate the epicenters of the main shocks, while squares, open circles, diamonds and solid circles indicate the epicenters of aftershocks of the 933, 936, 937 and 978 events, respectively. Open triangles show the epicenters of aftershocks listed in the Seismological Bulletin of the JMA. Aftershocks of the 93s events that occurred within month after the main shock occurrence are shown in Fig. 3(a) (c). In the case of the 978 event, aftershocks that occurred within 3 days are shown in Fig. 3(d). Assuming that those M 7 earthquakes are interplate earthquakes, focal depths of the 937 earthquakes should be deeper than those of the 936 and 933 earthquakes. his inference is very consistent with the no/very small tsunami caused by the 937 earthquake and the very distinct tsunami caused by the 936 earthquake (anioka and Hasegawa, 25). Kanamori et al. (26) investigated the teleseismic waveforms of the 93s, 978 and 25 Miyagi-oki earthquakes and showed that surface wave amplitudes of the 937 M=7. event recorded at teleseismic stations were smaller than those of the other Miyagi-oki events. hey also identified a possible depth phase and suggested that the 937 M=7. event was not an interplate earthquake but an intraplate one. Moreover, they showed that two M 7 intraplate earthquakes occurred in the neighborhood of this region on February 2, 978 and May 26, 23. o investigate this possibility we relaxed our assumption that the 937 M=7. event was interplate, and initiated a 3-D grid search in an effort to better constrain the hypocenters of the 5 aftershocks of the 937 M=7. event. Grid intervals are also 2 km in both the horizontal and vertical Depth (km) Depth (km) 2 4 6 8 2 2 4 6 8 2 A (b) A (c) 2 3 4 5 8 3 2 5 3 4 5 8 5 4 3 9 9 2 2 7 4 7 6 6 JMA Fig. 5. Hypocenter distribution of aftershocks the 937 M=7. earthquake. Numbers are chronological aftershock numbers. (a) Map showing relocated epicenters. Solid and open circles denote epicenters of aftershocks with distinct and obscure minimum RMS residuals of S- times, respectively. he star and line AB show the locations of the main shock and cross section in Fig. 5(b), respectively. (b) Depth distribution of relocated aftershocks. Gray circles denote hypocenters of microearthquakes determined by JMA. (c) Depth distribution of the main shock and aftershocks listed in the Seismological Bulletin of the JMA. directions. he relationship between the RMS residuals of S- times and the trial focal depths of the aftershocks are shown in Fig. 4. he solid symbols denote aftershocks with distinct depth minima in RMS residuals of S- times, indicating that these hypocenters are well determined; open symbols denote aftershocks with obscure minima in RMS residual of S- times, indicating that these hypocenters are not well constrained. Solid and open circles in Fig. 5 denote the locations of aftershocks of the 937 event with distinct and obscure minima in RMS residuals of S- times, respectively. Numbers and stars denote the chronological aftershock number and location of the main shock (see B B

N. UMINO et al.: REVISIING HE HREE M 7 MIYAGI-OKI EARHQUAKES IN HE 93s 59 937 Miyagi-oki Earthquake (M7.) 4.E 4.5E 42.E 42.5E 43.E 43.5E km 2 km 3 km 38.N 936 978 937 933 4 km 5 km 6 km 5 km 7 km 8 km 9 km Fig. 7. Epicenter distribution of main shocks and aftershocks of the previous M 7 Miyagi-oki earthquakes. Solid squares, solid circles, solid diamonds and gray circles denote epicenters of aftershocks of the 933, 936, 937 and 978 earthquakes, respectively. Estimated aftershock areas of these earthquakes are roughly encircled by ellipses. he combined aftershock area of the three 93s earthquakes is in close agreement with that of the 978 earthquake. Fig. 6. Focal mechanism variations of the 937 M7. earthquake. Focal mechanisms with focal depths from km down to 9 km are shown by an equal area projection on a lower focal hemisphere. Low-angle thrust fault type mechanisms are revealed in the case of focal depths deeper than 4 km. Fig. 3(c)). Gray circles show the locations of recent microearthquakes determined by JMA. he aftershocks of the 937 event with well-determined focal depths took place near the upper boundary of the acific plate. Consequently, the 937 M=7. event is probably an interplate earthquake. he triangles in Fig. 5(c) show the hypocenters of the aftershocks of the 937 event listed in the Seismological Bulletin of the JMA. ypical focal mechanisms of interplate earthquakes are low-angle thrust faults, and the mechanisms of intraplate events are down-dip compressional (e.g. Hasegawa et al., 978). he focal mechanism of the 937 M=7. earthquake is estimated from initial motions of the -waves. We then varied the assumed focal depth from to 9 km. Variations in the focal mechanisms are shown in Fig. 6 by an equal area projection on a lower focal hemispheres. Down-dip compressional fault types are consistent with first motions for the case of very shallow assumed focal depths only, and in any case would be inconsistent with focal mechanism characteristics in this region (Hasegawa et al., 978). Lowangle thrust fault type mechanisms, which are a typical focal mechanism for interplate earthquakes, are consistent with first motions, even when the assumed focal depths are changed from 4 to 6 km. 4. Discussion he aftershock distributions of the 93s and 978 Miyagi-oki earthquakes were investigated using a grid search method based on S- times. Figure 7 shows the main shock and aftershock distributions of the four M 7 Miyagi-oki earthquakes. Aftershocks of the 933, 936 and 978 events are relocated by the 2-D grid search method (Fig. 3(a), (b), (d)), and aftershocks of the 937 event are re- located by the 3-D grid search method to test the possibility that this event was not an interplate earthquake (Fig. 5). he aftershock areas of all these M 7 earthquakes are estimated from their aftershock distributions and are encircled by ellipses in Fig. 7. he estimated aftershock areas of the three 93s events are partly overlapped by the eastern, southern and western parts of the 978 rupture, respectively. he combined aftershock area of the three 93s earthquakes is in close agreement with that of the 978 earthquake. he moment magnitude of the 936 event estimated from tsunami waveform inversion (anioka and Hasegawa, 25) is M w =7.2, which is significantly smaller than M JMA =7.4 listed in the Seismological Bulletin of the JMA. One of the possible interpretations of the present study is that the 978 M=7.4 earthquake involved the rupture of at least three major asperities that were adjacent to one another, whereas the 933, 936 and 937 earthquakes were caused by separate ruptures of each asperity in the Miyagi-oki region. Okada et al. (25) relocated the main shocks and aftershocks of the 978 M=7.4 and 25 M=7.2 Miyagi-oki earthquakes by the double-difference hypocenter location algorithm, revealing that the 25 event took place in the southern/southeastern part of the source area of the 978 event. he moment magnitude of the 936 event estimated from tsunami data is M w =7.2, which is almost the same as that of the 25 M=7.2 event. A comparison of the location of the source area and the magnitude of the 936 event with those of the 25 event suggests the possibility that the 25 event may have been a re-rupture of the asperity that caused the 936 event in the past. On the basis of these results, it may be said that there are several asperities offshore of Miyagi refecture and that those asperities can, on occasion, rupture in one large event: (e.g. the 978 Miyagi-oki earthquake) and can, at other times, rupture separately (e.g. during the sequence of events in the 93s). In the case of the 25 earthquake, only a southern/southeastern asperity may have ruptured on Au-

592 N. UMINO et al.: REVISIING HE HREE M 7 MIYAGI-OKI EARHQUAKES IN HE 93s gust 6, 25. here is room for further investigation on the amounts of coseismic slip distributions of the 93s M 7 earthquakes. If we knew the precise locations of asperities that caused the 93s and 978 earthquakes, we would be a step closer to furthering our understanding of the mechanism of interplate earthquakes. Acknowledgments. We wish to express our thanks for the comments provided by Nobuo Hamada and an anonymous reviewer. Discussions with S. H. Kirby were very valuable. his research was supported in part by the Research on the onankai and Nankai earthquakes from the Ministry of Education, Culture, Sports, Science and echnology of Japan. his work was also conducted as part of the 2st COE program, Advanced Science and echnology Center for the Dynamic Earth, at ohoku University. his work was also partially supported by MEX.KAKENHI (#782). References Hasegawa, A., N. Umino, and A. akagi, Double-planed structure of the deep seismic zone in the northeastern Japan arc, ectonophysics, 47, 43 58, 978. Hasegawa, A., N. Uchida,. Igarashi,. Matsuzawa,. Okada, S. Miura, and Y. Suwa, Asperities and Quasi-static Slip on the Subducting late Boundary East off ohoku, NE Japan, SEIZE volume, Columbia Univ. ress., 25. Hino, R., Y. Yamamoto, M. Nishino,. Kanazawa,. Yamada, K. Nakahigashi, K. Mochizuki, M. Shinohara, G. Aoki, M. anaka, E. Araki, S. Kodaira, G. Fujie, and Y. Kaneda, Hypocenter distribution of the 25 Miyagi-oki earthquake and its aftershocks by OBS observation, M2, rogramme and abstracts the Seismological Society of Japan 25, Fall meeting, 25. Kanamori, H., M. Miyazawa, and J. Mori, Investigation of the earthquake sequence off Miyagi prefecture with historical seismograms, Earth lanets Space, 58, this issue, 533 54, 26. Matsuzawa,., N. Uchida,. Igarashi,. Okada, and A. Hasegawa, Repeating earthquakes and quasi-static slip on the plate boundary east off northeastern Honshu, Japan, Earth lanets Space, 56, 83 8, 24. Nagai, R., M. Kikuchi, and Y. Yamanaka, Comparative study on the source process of recurrent large earthquakes in Sanriku-oki region: the 968 okachi-oki and the 994 Sanriku-oki earthquakes, J. Seismol. Soc. Jpn., 54, 267 28. Okada,.,. Matsuzawa, and A. Hasegawa, Comparison of source areas of M4.8+/-. repeating earthquakes off Kamaishi, NE Japan Are asperities persistent features?, Earth lanet Sci. Lett., 23, 36 374, 23. Okada,.,. Yaginuma, N. Umino,. Kono,. Matsuzawa, S. Kita, and A. Hasegawa, he 25 M7.2 Miyagi-oki earthquake, NE Japan: ossible Re-rupturing of one of asperities that caused the previous M7.4 earthquake, Geophys. Res. Lett, 32, L2432, doi:.29/25gl2463, 25. anioka, Y. and Y. Hasegawa, Re-analysis of the source process of the 936 Miyagi-oki earthquake using tsunami waveforms, 28, rogramme and abstracts the Seismological Society of Japan 25, Fall meeting, 25. he Headquarters for Earthquake Research romotion, MEX, Japan, Long-term evaluation of the Miyagi-Oki earthquake, http://www.jishin. go.jp/main/index.html, 2 (in Japanese). he International Latitude Observatory of Mizusawa, Seismological observations at Mizusawa for the period between 92 967, pp. 379, 984. Waldhauser, F. and W. L. Ellsworth, A double-difference earthquake location algorithm: method and application to the Northern Hayward fault, Bull. Seismol. Soc. Am., 9, 353 368, 2. Yamanaka, Y. and M. Kikuchi, Source process of the recurrent okachioki earthquake on September 26, 23, inferred from teleseismic body waves, Earth lanets Space, 55, e2 e24, 23. Yamanaka, Y. and M. Kikuchi, Asperity map along the subduction zone in northeastern Japan inferred from regional seismic data, J. Geophys. Res., 9, 23 JB2683, 24. N. Umino (e-mail: umino@aob.geophys.tohoku.ac.jp),. Kono,. Okada, J. Nakajima,. Matsuzawa, N. Uchida, A. Hasegawa, Y. amura, and G. Aoki