Slip model of the 2008 Mw 7.9 Wenchuan (China) earthquake derived from co-seismic GPS data
© 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; TERRAPUB 2010
Received: 10 October 2008
Accepted: 5 May 2009
Published: 26 January 2011
Near-field co-seismic GPS data were used to derive the slip distribution of the 12 May 2008 Wenchuan earthquake. Based on field measurements and geological observations, the earthquake is represented by ruptures on the Beichuan fault and a neighboring fault from Pengxian to Guanxian, both dipping with a decreasing angle with depth. Using a layered elastic crust model, we obtained a slip model that not only best fits the co-seismic GPS data but which also shows general consistency with the surface ruptures observed from the field survey. The slip maxima are dominant at a very shallow depth near Beichuan and Jiangyou, although the exact peak value of the slip distribution is not well constrained due to the inhomogeneous data coverage in the near-fault area. The maximum slip in our inversion is thus limited to about 9 m, as estimated from the field measurement, but no strict restriction is applied to the slip direction, i.e., the rake angle. The slip model yields a moment magnitude that is very close to Mw = 7.9, which is the estimate based on teleseismic observations. Near the hypocenter, the slip exhibits reverse behavior. The major rupture near Beichuan involves both right-lateral strike-slip and reverse components. Slip on the secondary fault is dominated by the reverse component with a maximum of approximately 2–3 m.
The 12 May 2008 Mw 7.9 Wenchuan earthquake occurred in Sichuan province, southwest China. It is considered to be one of the most destructive events that have occurred in China during the last 50 years, at least 80, 000 killed, more than 350, 000 injured and countless homeless.
The Wenchuan earthquake ruptured the NE-SW striking and north-west dipping Longmenshan fault belt, which was formed by the continuing eastward extrusion of the Tibet plateau to the western edge of the Sichuan Basin (Zhang et al., 2008). The Longmenshan fault belt comprises three main faults; from NW-SE, these are the Wenchan-Maowen fault, the Yingxiu-Beichuan fault and the Dujiangyan-An’xian fault. Both the geological study by Burchfiel et al. (2008) and the GPS observations by Zhang (2008) indicate that long-term movement on the Longmenshan fault changes from the reverse slip in the SW to the right-lateral strike-slip in the NE. The field survey revealed that the Wenchuan earthquake mainly occurred on the Beichuan fault, with a rupture length more than 200 km, and on a neighboring secondary fault from Pengxian to Guanxian, with a rupture length over 60 km (Liu et al., 2008; Zhang et al.., 2008).
The rupture process and the slip distribution have been estimated by Ji and Hayes (2008) and Nishimura and Yagi (2008) from teleseismic waveform inversion. They found that the best-fit strike and dip angles are 229° and 33°, respectively, and the maximum slip reaches up to 9 m. Teleseismic body waves, which contain information on the moment release rate and focal mechanism, can be used to provide smoothed estimates of slip distribution, but they do not provide near-field information, such as the static offsets, which is critical in co-seismic slip inversion (Miyazaki et al., 2004).
Geodetic inversion has been improved from being an averaged slip estimation of one or several fault planes to slip distribution estimation of multiple finite discrete fault patches, based on sufficient near-field constraints (Segall and Davis, 1997). That is to say, slip distribution can be estimated with high spatial resolution from the geodetic data, which may compensate for the deficiency of near-field information in the teleseismic waveform data. Moreover, a more highly resolved slip model is particularly useful for estimating the Coulomb stress change on surrounding faults and, consequently, for assessing seismic hazard. In this paper, we derive the slip distribution of the Wenchuan earthquake from the near-field co-seismic GPS observation by employing a listric fault geometry and a layered earth model.
2. Data Compilation
Parameters of the layered earth model.
V p (km/s)
V s (km/s)
3.1 The gradient method with a priori constraints
3.2 Parameter setting
We use a vertically stratified and laterally homogeneous crust model in this study. The parameters are taken from CRUST2.0 (Mooney et al., 1998) (see Table 1). Based on the aftershock distribution (Huang et al., 2008) and the mapped surface ruptures identified in the field survey (Liu et al., 2008; Zhang et al., 2008), we then design a double-fault source model. The main Beichuan fault is divided into two segments: the NE segment is 120 km, striking N228.5°E, and the SW one is 220 km, striking N224°E. The secondary fault, which is about 70 km long, extends from Pengxian to Guanxian, with the strike N228.5°E (Fig. 1). Geological studies (e.g., Burchfiel et al., 2008) have revealed that the Longmenshan fault has a listric geometry, i.e., with a dip angle decreasing with depth. Accordingly, we set the dip angle to decrease linearly from 65° at the top of the curved fault plane to 20° at the bottom. A fault width of 40 km is assigned to all three fault segments, which are then divided into uniformly sized rectangular dislocation patches of 10 × 10 km. Fixing these geometrical parameters, we then invert the slip distribution from the GPS data (request for digital slip model should be addressed to F. Diao).
4. Results and Discussion
Geological studies (Burchfiel et al., 2008; Zhang et al., 2008) indicate that the Longmenshan fault has a listric geometry with the dip angle decreasing with depth. If a uniform dip angle of 33° is used, as suggested by the teleseismic results, the misfits between calculated and observed coseismic displacements are 2.16 and 3.2 cm in the two horizontal components and 10.32 cm in the vertical component. If the listric fault geometry is used, however, the misfits decrease substantially to 1.28, 1.52 and 4.05 cm, respectively. The aftershocks are mostly concentrated in the deep patches with small coseismic slip (Fig. 2). We hypothesize that the deep segments of the Wenchuan fault only partially ruptured during the coseismic rupture process and that the slip deficit is released by aftershocks or aseismic afterslip. This phenomenon was demonstrated by Cakir et al. (2003) for the Izmit earthquake and Hsu et al. (2002) for the Chi-Chi earthquake. Further study on afterslip based on postseismic deformation may provide some evidence for this hypothesis.
The listric double-fault source model can explain most of the observed coseismic displacements, especially in the horizontal components (Fig. 1). The RMS (root mean square) misfits are 1.28, 1.52 and 4.05 cm, in the EW, NS and vertical components, respectively. These are still significantly larger than the mean observation uncertainties (1σ) of 3.0, 3.0 and 7.0 mm, respectively. In addition, from our comparison of observed and forward horizontal displacements (Fig. 1(a)), we found that the residuals are spatially coherent. The inverted slip model overestimates the footwall displacements at 47 of 60 sites (78%). Many factors may cause the large residuals, such as the assumption of lateral homogeneity in the earth model, the simplicity of the fault geometry, topography and inelastic deformation. For example, the crustal thickness of the Tibet plateau on the NW side and the Sichuan basin on the SE side of the Longmenshan fault are about 70 km and approximately 40–45 km, respectively, with the mean crustal P velocity of approximately 6.25–6.30 km/s and approximately 6.45–6.50 km/s, respectively (Teng et al., 2008). Furthermore, the topographic difference between the Tibet plateau and the Sichuan basin is almost 3500 m, which may also influence the surface displacements. The higher misfit in the vertical component may also be attributed to the lower precision of GPS in the vertical direction.
Constrained by the near-field GPS co-seismic displacements, the slip distribution of the Wenchuan earthquake is estimated based on the layered elastic dislocation model. With the introduction of a listric fault geometry, the derived double-fault slip model can explain most of the observed GPS displacements. The results are consistent with the teleseismic results and the field measurement. The slip in our model shows reverse behavior, with a slip magnitude of approximately 4–5 m near the epicenter, varying to a right-lateral strike-slip with a significant reverse component in the NE, with two slip maxima of up to 9 m located near Wenchuan and Jiangyou, respectively. The modeling result is also consistent with the historical fault movement mapped by GPS and field observations.
We are grateful for the constructive comments of Dr. Isabelle Ryder, an anonymous reviewer and the editor Prof. Teruyuki Kato. This work was supported by the Knowledge Innovation Program of the Chinese Academy of Sciences (KZCX2-YW-142, KZCX3-SW-153) and the National Natural Science Foundation of China (40474028). The figures were made using free GMT (Generic Mapping Tools) software (Wessel and Smith, 1991).
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