Spatial distribution of centroid moment tensor solutions for the 2004 off Kii peninsula earthquakes

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LETTER Earth Planets Space, 57, 351 356, 25 Spatial distribution of centroid moment tensor solutions for the 24 off Kii peninsula earthquakes Yoshihiro Ito, Takumi Matsumoto, Hisanori Kimura, Hirotoshi Matsubayashi, Kazushige Obara, and Shoji Sekiguchi National Research Institute for Earth Science and Disaster Prevention, 3-1, Tennodai, Tsukuba, Ibaraki 35 6, Japan (Received November 3, 24; Revised March 9, 25; ccepted March 22, 25) Two large intraplate earthquakes (M W 7. and 7.3) occurred off the southeastern Kii Peninsula on September 5, 24. We determined the centroid moment tensors of these earthquakes and their aftershocks. Earthquakes can be divided into two categories: (1) the reverse-fault type with a range in focal depth from 5 km to 2 km; and (2) earthquakes with a near-vertical nodal plane and a focal depth shallower than 5 km. Earthquakes of type (1) are distributed inside the Philippine Sea plate beneath the Nankai trough, while normal-fault events predominate in the other regions along the trough. The distribution of type (2) events shows two clear lineaments with strikes of NNW-SSE to the north and NE-SW to the west of the focal area. These lineament strikes coincide approximately with strikes at the nodal planes of such events. Key words: Centroid moment tensor, broadband seismometer, tiltmeter, seismicity. 1. Introduction Two large earthquakes with moment magnitudes (M JM ) of 7.1 and 7.4 occurred off the Kii Peninsula in southeastern-central Japan at 1:7 and 14:57 (UT) on September 5, 24. Their hypocenters were located near the eastern Nankai trough with focal depths of 37.58 km and 43.52 km, respectively (JM: Japan Meteorological gency, 24). These focal depths are deeper than the plate boundary between the Philippine Sea plate and the Eurasian plate. Some results obtained by GPS, tsunami, or far-field wave analyses showed that the largest event had the complex source process (Hashimoto et al., 25; Satake et al., 25; Hara, 25). The Philippine Sea plate subducts toward the northwest from the Nankai trough at a rate of approximately 4 cm/yr in this region (Seno et al., 1993) and large interplate thrust events with a recurrence interval of approximately 1 years also occur (Utsu, 1984). The most recent large event, the Tonankai Earthquake, had a magnitude of M w 7.9 and occurred in 1944 (Kikuchi et al., 23). Lay et al. (1989) demonstrated the relationship between interplate thrusting and the stress field of the intraplate at the outer rise. They suggested that stresses in the outer rise might become compressional when interplate thrusting is locked. This study investigated the distribution of moment tensors of two large earthquakes and their intermediate-size aftershocks. We emphasize the type of focal mechanisms around the Nankai trough using the high dense broadband network established by the National Research Institute for Earth Science and Disaster Prevention (NIED). Copy right c The Society of Geomagnetism and Earth, Planetary and Space Sciences (SGEPSS); The Seismological Society of Japan; The Volcanological Society of Japan; The Geodetic Society of Japan; The Japanese Society for Planetary Sciences; TERRPU. 2. Centroid Moment Tensor Inversion The NIED F-net and Hi-net stations in Japan are spaced 1 km and 15 2 km apart, respectively (Okada et al., 24). Three component broadband seismometers (STS- 1/2) were installed at each F-net station and two horizontalcomponent borehole tiltmeters were installed at each Hi-net station. We used waveform data from the high dense broadband seismic stations to calculate centroid moment tensors (Fig. 1). The orientation of the observed borehole tiltmeter data was corrected by estimating the azimuth of the horizontal sensor as reported by Shiomi et al. (23). Velocity seismograms and accelerograms with high S/N ratios obtained from the F-net and the Hi-net networks were converted to displacement and decimated to a 1 Hz sampling rate. Filters with pass-bands of.1.5 Hz and.2.5 Hz were used for the two large earthquakes and their aftershocks, respectively. To calculate Green s functions, we used the same velocity and Q structures employed for the routine NIED F-net moment tensor inversion approach (Fukuyama et al., 1998) (See Table 1). Our approach for calculating the centroid moment tensors differs from the routine NIED F-net moment tensor inversion approach in the following respects: (1) The centroid hypocenter and time were calculated, whereas the fixed epicenter was obtained from the Japanese Meteorological gency (JM) Catalog. Centroid depth is estimated using this routine. (2) Waveform data from more than three F- net stations and two components of the tiltmeters at Hi-net stations were used in this study. Three F-net stations were used in the routine. Under the point-source assumption, the centroid hypocenter and centroid time with maximum variance reduction (VR) were located around the initial hypocenter and origin time on a horizontal grid with spacing at.1 degrees. The vertical grids were spaced from 1 km down to 5 km on a time grid of 1 sec. The initial hypocenters 351

352 Y. ITO et al.: SPTIL DISTRIUTION OF CENTROID MOMENT TENSOR SOLUTIONS 13 E 135 E 2 km Eurasia plate 35 N gh ou r ai T nk Na 4cm/yr Philippine Sea plate 3 N NIED F-net 4 5 6 Moment magnitude 1 2 3 NIED Hi-net Fig. 1. Tectonic setting, station distribution in western Japan, and seismicity around the Nankai trough. Relative motion of the Philippine Sea plate to the Eurasia plate (Seno et al., 1993) is shown by the solid arrow. Focal mechanisms are only shown around the Nankai trough for earthquakes occurred from June 1997 to September 4, 24. Yellow and red stars indicate epicenters of two main shocks with the moment magnitudes greater than 7 occurred on September 5, 24 (JM, 24). Yellow and red circles show the NIED F-net and Hi-net stations. The rectangle is the focal area shown in the following figures. The broken line indicates the fault model of the 1944 Tonankai earthquake estimated by Kikuchi et al. (23). Table 1. Velocity and attenuation models. Thickness (km) P velocity (km/s) S velocity (km/s) Density (kg/m3 ) Qp Qs 3 5.5 3.14 2 3 15 6. 3.55 24 18 15 6.7 3.83 28 33 67 7.8 4.46 32 1 125 8. 4.57 3 225 1 8.4 4.8 34 325 1 8.6 4.91 35 425-9.3 5.31 37 and origin times in the JM Catalog were used. V R was 3. Results defined by etween September 5 and October 31, 21 events with magnitudes exceeding 3.5 were listed in the JM Catalog. ((si (t) oi (t))2 dt V R[%] = 1 wi 1, We selected events if variance reduction exceeded 5 per((oi (t))2 dt i cent, more than 1 stations were used, and the centroid where si (t) and oi (t) are the synthetic and observed wave- moment tensors of 94 events were determined. The moforms, respectively. wi is a constant weight that is propor- ment magnitudes of these events ranged from 3.3 to 7.3. tional to the epicentral distance of station i. N is the number Source parameters for the main shocks exceeding MW 7. are shown in Table 2 and are similar to those listed in the of stations.

Y. ITO et al.: SPTIL DISTRIUTION OF CENTROID MOMENT TENSOR SOLUTIONS 353 24/9/1 18:14:4 Mw:4. VR:73% CMT P-first Geisei Tiltmeter Delta: 39 km zimuth: 278 deg. Max. mp: 2.89e-7 m Nariwa STS-2 Delta: 375 km zimuth: 299 deg. Max. mp: 4.42e-7 m Chizu Tiltmeter Delta: 354 km zimuth: 311 deg. Max. mp: 2.92e-7 m buyama STS-1 Delta: 236 km zimuth: 323 deg. Max. mp: 2.43e-7 m Ohtsu Tiltmeter Delta: 258 km zimuth: 334 deg. Max. mp: 1.71e-7 m Kanayama Tiltmeter Delta: 278 km zimuth: 359 deg. Max. mp: 2.38e-7 m gematsu Tiltmeter Delta: 296 km zimuth: 1 deg. Max. mp: 3.19e-7m Kawakami Tiltmeter Delta: 34 km zimuth: 23 deg. Max. mp: 3.58e-7 m Observed 18 sec. Synthetic Tangential Radial (c) Vertical Fig. 2. Centroid moment tensor inversion. The focal mechanism calculated by this approach. The focal mechanism obtained from P-wave polarity analysis. Open and solid circles indicate the dilatational and compressional first motions for the P wave at Hi-net stations. (c) Observed and synthetic waveforms. The broken black and red line shows the observed and synthetic waveforms. Harvard CMT Catalog. Figure 2 shows an example of a centroid moment tensor inversion for a small earthquake with a magnitude of 4.. The focal mechanism calculated by centroid moment tensor inversion was compared with that derived by P-wave polarity analysis using high-sensitivity seismometers at Hinet stations (Figs. 2 and ). Full waveforms from P arrival to surface wave arrival were used in this study, with most of the waveforms observed being consistent with synthetic waveforms overall (Fig. 2(c)). Figure 3 shows the distribution of centroid moment tensors and at least two types of earthquakes: the reverse-fault type (type-r) with a dip angle of 3 5 degrees that was similar to the main shocks, and another type (type-o) with a near-vertical nodal plane. We used Kagan s angle (Kagan, 1991) to show the similarity between the two different focal mechanisms. In order to classify the events into discrete categories based on the similarity of the mechanism characteristics of the larger main shocks and the aftershocks, we treated type-r events, which are similar to the main shock with a Kagan s angle of less than 3 degrees, and type-o events with a Kagan s angle exceeding 4 degrees separately. The type-r events include two main shocks that were distributed near the deformation front and ranged in depth between 5 km and 2 km. Conversely, many type-o events were scattered in the northern and western regions of the focal area at depths of less than 5 km. Figure 4 shows examples of the centroid depths and moment tensor solutions as a function in VR. The results of type-r events show a clear peak in VR near the most optimal depths while the curve for type-o events is less pronounced. However, it is clear that type-o events occurred at depths shallower than 5 km in this example. 4. Discussion Some reverse-fault events occurred in this region before the activity in 24, with normal-fault events occurring near the deformation front in other regions along the Nankai trough (Fig. 1). Lay et al. (1989) demonstrated that the reverse-fault events occurred in the outer rise prior to the largest interplate thrust events, while tensional events generally followed interplate rupture. They also suggested that stresses in the outer rise might become compressional due to bending and slab-pull may be reduced when interplate thrusting was locked. The focal area and occurrence of type-r events was in the vicinity of, and due to, the asperity of the 1944 Tonankai earthquake. In a cross section of the hypocentral distribution projected on a vertical plane using seismic survey data by Nakanishi et al. (22), it is clear that the type-r events occur around the deformation front within the subducting Philippine Sea plate (Fig. 5). Type-R aftershocks, which have focal mechanisms and occur at depths that are similar to the main shocks, are only distributed beneath the deformation front. They were observed to extend east and west, which is consistent with the strike of the nodal planes of the main shocks. Type-O aftershocks, which have different nodal planes to those of the main shocks, are scattered throughout the entire area and occur at depths shallower than 5 km. These results suggest that the type-r aftershocks occurred on the same planes as the main shocks but that type-o aftershocks occurred on other planes. Interestingly, the distribution of type-r aftershocks may indicate expansion of the main shock faults. Two clusters of type-o events can be seen in the northern and western parts of the focal area. Their focal depths

354 Y. ITO et al.: SPTIL DISTRIUTION OF CENTROID MOMENT TENSOR SOLUTIONS Table 2. Source parameters obtained for two main shocks. Origin time (UT) 24/9/5,1:7:7.5 24/9/5,14:57:16.93 Fault mechanisms (Strike, Dip, Rake)[deg.] ( 77.2, 43.8, 7.7 ) ( 83.6, 37.4, 71.6 ) Seismic moment [Nm] 4.3 1 19 9.9 1 19 Moment magnitude 7. 7.3 Centroid latitude [degree] 33. 33.8 Centroid longitude [degree] 136.79 137. Centroid depth [km] 9 8 Centroid time (UT) 24/9/5, 1:7:17 24/9/5, 23:57:44 136.5 E 137. E 137.5 E 33.5 E 2m 2m m 33. E 4m Mw7. 4m Mw7.3 1 km 4 5 6 7 Moment Magnitude (Mw) 5 1 Kagan's angle (degree) Defomation front 3 2 1 Mw7.3 Mw7. 5 1 Distance (km) Fig. 3. Focal mechanism distribution. Color of moment tensors indicates the Kagan s angle. Map-view. Yellow and red stars indicate epicenters of two main shocks of M W 7. and 7.3, respectively. athymetric contour intervals are 5 m apart. The broken line represents the deformation front. The cross section along - in. The bold line indicates the sea floor. are markedly shallower than those of type-r events. Obara and Ito (25) reported that the S coda parts of their events were relatively rich in low frequency components, that were manifested as surface waves. The distribution of type-o events in the northern and western parts of the focal area show clear lineaments with strikes of NNW-SSE and NE- SW, respectively (Fig. 5). These strikes are consistent with the strikes of nodal planes with the near-vertical dip angles

Y. ITO et al.: SPTIL DISTRIUTION OF CENTROID MOMENT TENSOR SOLUTIONS 355 Type-R Type-O 1 1 2 5 6 7 Variance Reduction (%) 2 5 6 7 Variance Reduction (%) Fig. 4. Examples of variance reduction and moment tensor solutions plotted against centroid depth. n example of a type-r event. n example of a type-o event. 136.5 E 137. E 137.5 E W N E Type-R Type-O 33.5 N S N 33. E W E S 1 km Os O2 Oceanic layer 3 Uppermost mantle Type-R Type-O Deformation front 5 1 Distance (km) 1 2 3 Fig. 5. Distributions of type-r and type-o events. Red circles and blue diamonds represent type-r and type-o events, respectively. old lines with red circles indicate the direction of P axes. Map-view. The thin line with triangles shows the deformation front of the Nankai trough. Ellipses show typical clusters of type-o events. Two Rose diagrams show the percent frequency of strikes with near-vertical nodal planes, such as those of type-o events, within adjacent ellipses. The cross-section along -. roken lines show the boundary of geological interpretation by Nakanishi et al. (22). Sw, Os, and O2 indicate the sedimentary wedge, the old accreted sediment, and oceanic layer 2, respectively.

356 Y. ITO et al.: SPTIL DISTRIUTION OF CENTROID MOMENT TENSOR SOLUTIONS of type-o events. Weak faults may exist in northern and western parts of the focal area and these might be triggered by large reverse-fault events that occurred beneath the deformation front. 5. Conclusion We determined centroid moment tensors of two main shocks with moment magnitudes greater than 7 and intermediate size aftershocks by the centroid moment tensor inversion approach using the high-dense broadband seismic network. The results show that events, including the two main shocks, having characteristics of a reverse-fault with dip angle of 3 to 5 degrees are distributed around the deformation front of the Nankai trough at depths that range from approximately 5 to 2 km. On the other hand, strikeslip events or reverse-fault events with a near-vertical nodal planes are scattered at depths shallower than 5 km. Interestingly, the distribution of events the in northern and western parts of the focal area show clear lineaments with strikes of NNW-SSE and NE-SW, which agree with the strikes of nodal planes for those events. cknowledgments. We thank Dr.. Velasco and an anonymous reviewer for comments on the manuscript. We would like to thank the Japan Meteorological gency for providing us with the unified hypocenter catalog. We are grateful to Dr. M. Ishida, Dr. K. Kasahara, Dr. S. Hori, and Dr. H. Kumagai in NIED for valuable discussions. We thank Dr.. Jin for polishing the language of this manuscript and for fruitful discussions. GMT (Wessel and Smith, 1995) was used to make the figures. athymetrical data provided by the Japan Oceanographic Data Center was used to draw the sea floor. This work was conducted as part of a project titled, Operation of Seismic Observation Network at the National Research Institute for Earth Science and Disaster Prevention. References Fukuyama, E., M. Ishida, D. S. Dreger, and H. Kawai, utomated seismic moment tensor determination by using on-line broadband seismic waveforms, J. Seismol. Soc. Japan (Zisin), 51, 149 156, 1998 (in Japanese with English abstract). Hara, T., Change of the source mechanism of the main shock of the 24 off the Kii peninsula earthquakes inferred from long period body wave data, Earth Planets Space, 57, 179 183, 25. Hashimoto, M., K. Onoue, F. Ohya, Y. Hoso, K. Segawa, K. Sato, and Y. Fujita, Crustal deformations in Kii peninsula associated with the SE off the Kii peninsula earthquake sequence of September 5, 24 derived from dense GPS observations, Earth Planets Space, 57, 185 19, 25. Japan Meteorological gency, The Seismological and Volcanological ulletin of Japan, Japan Meteorological gency, Tokyo, 24. Kagan, Y. Y., 3-D rotation of double-couple earthquake sources, Geophys. J. Int., 16, 79 716, 1991. Kikuchi, M., M. Nakamura, and K. Yoshikawa, Source rupture processes of the 1944 Tonankai earthquake and the 1945 Mikawa earthquake derived from low-gain seismograms, Earth Planets Space, 55, 159 172, 23. Lay, T., L. stiz, H. Kanamori, and D. H. Christensen, Temporal variation of large intraplate earthquakes in coupled subduction zones, Phys. Earth Planet. Inter., 54, 258 312, 1989. Nakanishi,., H. Shiobara, R. Hino, J. Kasahara, K. Suyehiro, and H. Shinohara, Crustal structure around the eastern end of coseismic rupture zone of the 1944 Tonankai earthquake, Tectonophysics, 354, 257 275, 22. Obara, K. and Y. Ito, Very low frequency earthquakes excited by the 24 off the Kii peninsula earthquakes: dynamic deformation process in the large accretionary prism, Earth Planets Space, this issue, 57, 321 326, 25. Okada, Y., K. Kasahara, S. Hori, K. Obara, S. Sekiguchi, H. Fujiwara, and. Yamamoto, Recent progress of seismic observation networks in Japan Hi-net, F-net, K-NET, and KiK-net, Earth Planets Space, 56, xv xxviii, 24. Satake, K., T. aba, K. Hirata, S. Iwasaki, T. Kato, S. Koshimura, J. Takenaka, and Y. Terada, Tsunami source of the 24 off the Kii Peninsula earthquakes inferred from offshore tsunami and coastal tide gauges, Earth Planets Space, 57, 173 178, 25. Seno, T., S. Stein, and. E. Grippe, model for the motion of the Philippine Sea plate consistent with NYVEL-1 and geological data, J. Geophys. Res., 98, 17941 17948, 1993. Shiomi, K., K. Obara, S. oi, and K. Kasahara, Estimation on the azimuth of the Hi-net and KiK-net borehole seismometers, J. Seismol. Soc. Jpn. (Zisin), 56, 99 11, 23 (in Japanese). Utsu, T., Seismology, second edition, 31 pp., Kyoritsu Syuppan, Tokyo, 1984 (in Japanese). Wessel, P. and W. H. F. Smith, New version of the generic mapping tools released, EOS Trans. GU, 76, 329, 1995. Y. Ito (e-mail: yito@bosai.go.jp), T. Matsumoto, H. Kimura, H. Matsubayashi, K. Obara, and S. Sekiguchi