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1.
震源时间函数与震源破裂过程   总被引:2,自引:0,他引:2  
简要介绍了现代数字地震学的两个重要概念。一个是震源时间函数,另一个是地震震源的时空破裂过程。首先,从地震断层位移表示定量出发,介绍震源时间函数和震源破裂过程的基本概念。然后,分别介绍两种从远场地震记录中提取震源时间函数和获取有限断层面上时空破裂过程图像的反演方法。  相似文献   

2.
RuptureprocesofNovember6,1988,LancangGengma,Yunnan,China,earthquakeofMs=7.6usingempiricalGren’sfunctiondeconvolutionmethod...  相似文献   

3.
The Cocos plate subducts beneath North America at the Mexico trench. The northernmost segment of this trench, between the Orozco and Rivera fracture zones, has ruptured in a sequence of five large earthquakes from 1973 to 1985; the Jan. 30, 1973 Colima event (M s 7.5) at the northern end of the segment near Rivera fracture zone; the Mar. 14, 1979 Petatlan event (M s 7.6) at the southern end of the segment on the Orozco fracture zone; the Oct. 25, 1981 Playa Azul event (M s 7.3) in the middle of the Michoacan gap; the Sept. 19, 1985 Michoacan mainshock (M s 8.1); and the Sept. 21, 1985 Michoacan aftershock (M s 7.6) that reruptured part of the Petatlan zone. Body wave inversion for the rupture process of these earthquakes finds the best: earthquake depth; focal mechanism; overall source time function; and seismic moment, for each earthquake. In addition, we have determined spatial concentrations of seismic moment release for the Colima earthquake, and the Michoacan mainshock and aftershock. These spatial concentrations of slip are interpreted as asperities; and the resultant asperity distribution for Mexico is compared to other subduction zones. The body wave inversion technique also determines theMoment Tensor Rate Functions; but there is no evidence for statistically significant changes in the moment tensor during rupture for any of the five earthquakes. An appendix describes theMoment Tensor Rate Functions methodology in detail.The systematic bias between global and regional determinations of epicentral locations in Mexico must be resolved to enable plotting of asperities with aftershocks and geographic features. We have spatially shifted all of our results to regional determinations of epicenters. The best point source depths for the five earthquakes are all above 30 km, consistent with the idea that the down-dip edge of the seismogenic plate interface in Mexico is shallow compared to other subduction zones. Consideration of uncertainties in the focal mechanisms allows us to state that all five earthquakes occurred on fault planes with the same strike (N65°W to N70°W) and dip (15±3°), except for the smaller Playa Azul event at the down-dip edge which has a steeper dip angle of 20 to 25°. However, the Petatlan earthquake does prefer a fault plane that is rotated to a more east-west orientation—one explanation may be that this earthquake is located near the crest of the subducting Orozco fracture zone. The slip vectors of all five earthquakes are similar and generally consistent with the NUVEL-predicted Cocos-North America convergence direction of N33°E for this segment. The most important deviation is the more northerly slip direction for the Petatlan earthquake. Also, the slip vectors from the Harvard CMT solutions for large and small events in this segment prefer an overall convergence direction of about N20°E to N25°E.All five earthquakes share a common feature in the rupture process: each earthquake has a small initial precursory arrival followed by a large pulse of moment release with a distinct onset. The delay time varies from 4 s for the Playa Azul event to 8 s for the Colima event. While there is some evidence of spatial concentration of moment release for each event, our overall asperity distribution for the northern Mexico segment consists of one clear asperity, in the epicentral region of the 1973 Colima earthquake, and then a scattering of diffuse and overlapping regions of high moment release for the remainder of the segment. This character is directly displayed in the overlapping of rupture zones between the 1979 Petatlan event and the 1985 Michoacan aftershock. This character of the asperity distribution is in contrast to the widely spaced distinct asperities in the northern Japan-Kuriles Islands subduction zone, but is somewhat similar to the asperity distributions found in the central Peru and Santa Cruz Islands subduction zones. Subduction of the Orozco fracture zone may strongly affect the seismogenic character as the overlapping rupture zones are located on the crest of the subducted fracture zone. There is also a distinct change in the physiography of the upper plate that coincides with the subducting fracture zone, and the Guerrero seismic gap to the south of the Petatlan earthquake is in the wake of the Orozco fracture zone. At the northern end, the Rivera fracture zone in the subducting plate and the Colima graben in the upper plate coincide with the northernmost extent of the Colima rupture zone.  相似文献   

4.
震源参数的定标律在震源物理和地震灾害研究中具有重要作用。虽然用地表破裂也可以得到一个总体上的震源参数的定标律,但由此得到的定标律具有很大的局限性。例如2001年印度古吉拉特MW 7.6地震在地表几乎看不到原生断层,而2001年中国西藏昆仑山MW 7.8地震在地表的断层总长度可达500多公里。宽频带数字地震学的发展,尽管在细节上还存在诸多问题,但已使地震学家有条件得到地震破裂过程的数字成像结果,这样的成像结果可以给出更为可靠的地震断层参数,比如地震断层长度和平均位错量等。基于这一进展,本文试图利用最近得到的数字地震成像结果,研究地震参数的定标律。为此,选择了3个较为系统的数据集合,分别为D.J.wald收集和编辑的震源成像结果、Y.Yagi所做的震源过程成像结果和东京大学地震研究所(ERI)的地震震源过程观测报告,共计63次地震。结果表明:如果考虑所有这些地震,则地震矩与断层长度之间近似满足M0∝ L^3的关系;但如果仅考虑较大的地震,则走滑型地震接近满足M0∝ L^2的关系,而非走滑型地震接近近满足M0∝ L^3的关系。对走滑型地震,最大位错量Dmax与L和W这两个量中较小的量有明显的依赖关系,但非走滑型地震不具有这样的性质。  相似文献   

5.
Introduction An earthquake of MS=7.8 occurred near the Gujarat of India on January 26, 2001, which was one of the most deadly earthquakes since there was the record in the Indian history (Bendick, et al, 2001; Gupta, et al, 2001). The USGS of USA determined the origin time of the earthquake to be 3h16min41s (UTC), and the epicenter location to be 70.32篍, 23.40篘. Shortly after the earthquake, the moment tensor solutions or focal mechanisms and other related parameters were offered by s…  相似文献   

6.
The source parameters, such as moment tensor, focal mechanism, source time function (STF) and temporal-spatial rupture process, were obtained for the January 26, 2001, India, M S=7.8 earthquake by inverting waveform data of 27 GDSN stations with epicentral distances less than 90°. Firstly, combining the moment tensor inversion, the spatial distribution of intensity, disaster and aftershocks and the orientation of the fault where the earthquake lies, the strike, dip and rake of the seismogenic fault were determined to be 92°, 58° and 62°, respectively. That is, this earthquake was a mainly thrust faulting with the strike of near west-east and the dipping direction to south. The seismic moment released was 3.5×1020 Nm, accordingly, the moment magnitude M W was calculated to be 7.6. And then, 27 P-STFs, 22 S-STFs and the averaged STFs of them were determined respectively using the technique of spectra division in frequency domain and the synthetic seismogram as Green’s functions. The analysis of the STFs suggested that the earthquake was a continuous event with the duration time of 19 s, starting rapidly and ending slowly. Finally, the temporal-spatial distribution of the slip on the fault plane was imaged from the obtained P-STFs and S-STFs using an time domain inversion technique. The maximum slip amplitude on the fault plane was about 7 m. The maximum stress drop was 30 MPa, and the average one over the whole rupture area was 7 MPa. The rupture area was about 85 km long in the strike direction and about 60 km wide in the down-dip direction, which, equally, was 51 km deep in the depth direction. The rupture propagated 50 km eastwards and 35 km westwards. The main portion of the rupture area, which has the slip amplitude greater than 0.5 m, was of the shape of an ellipse, its major axis oriented in the slip direction of the fault, which indicated that the rupture propagation direction was in accordance with the fault slip direction. This phenomenon is popular for strike-slip faulting, but rather rare for thrust faulting. The eastern portion of the rupture area above the initiation point was larger than the western portion below the initiation point, which was indicative of the asymmetrical rupture. In other words, the rupturing was kind of unilateral from west to east and from down to up. From the snapshots of the slip-rate variation with time and space, the slip rate reached the largest at the 4th second, that was 0.2 m/s, and the rupture in this period occurred only around the initiation point. At the 6th second, the rupture around the initiation point nearly stopped, and started moving outwards. The velocity of the westward rupture was smaller than that of the eastward rupture. Such rupture behavior like a circle mostly stopped near the 15th second. After the 16th second, only some patches of rupture distributed in the outer region. From the snapshots of the slip variation with time and space, the rupture started at the initiation point and propagated outwards. The main rupture on the area with the slip amplitude greater than 5 m extended unilaterally from west to east and from down to up between the 6th and the 10th seconds, and the western segment extended a bit westwards and downwards between the 11th and the 13th seconds. The whole process lasted about 19 s. The rupture velocity over the whole rupture process was estimated to be 3.3 km/s. Foundation item: 973 Project (G1998040705) from Ministry of Science and Technology, P. R. China, and the National Science Foundation of China under grant No.49904004. Contribution No. 02FE2026, Institute of Geophysics, China Seismological Bureau.  相似文献   

7.
The Susamyr earthquake of August 19, 1992 in Kyrgyzstan is one of the largest events (Ms = 7.4, Mb = 6.8) of this century in this region of Central Asia. We used broadband and long period digital data from IRIS and GEOSCOPE networks to investigate the source parameters, and their space-time distribution by modeling both body and surface waves. The seismic moment (M0 = 6.8 × 1019 N m) and the focal mechanism were determined from frequency-time analysis (FTAN) of the fundamental mode of long period surface waves (100–250 s). Then, the second order integral moments of the moment-rate release were estimated from the amplitude spectra of intermediate period surface waves(40–70 s). From these moments we determined a source duration of 11–13 s, major and minor axes of the source of 30 km and 10–22 km, respectively; and an instant centroid velocity of 1.2 km/s. Finally, we performed a waveform inversion of P and SH waves at periods from 5–60 s. We found a source duration of 18–20 s, longer than the integral estimate from surface wave amplitudes. All the other focal parameters inverted from body waves are similar to those obtained by surface waves ( = 87° ± 6°, = 49° ± 6°, = 105° ± 3°, h = 14 ± 2 km, and M0 = 5.8 ± 0.7 × 1019 N m). The initial rupture of this shallow earthquake was located at the south-west border of Susamyr depression in the western part of northern Tien Shan. A finite source analysis along the strike suggests a westward propagation of the rupture. The main shock of this event was preceded 2 s earlier by small foreshock. The main event was almost immediately followed by a very strong series of aftershocks. Our surface and body wave inversion results agree with the general seismotectonic features of the region.  相似文献   

8.
IntroductionAnearthquakeofMs=7.9occurredinMaul,Xizang(Tibet),Chinaat10:02f55.4(UTC),No')ember8.1997.TheepicenterdeterminedbyChinaNationalSeismographNetwork(CNSN)is87.33"E.3>.26'N,thefocaldepthis40km,andthemagnitudeisMs=7.4.Accordingtothedeterllllnati...  相似文献   

9.
The 10 January 2018 MW7.5 Swan island, Honduras earthquake occurred on the Swan island fault, which is a transform plate boundary between the North American and Caribbean plates. Here we back-project the rupture process of the earthquake using dense seismic stations in Alaska, and find that the earthquake ruptured at least three faults (three stages) for a duration of ~40 s. The rupture speed for the longest fault (stage 3) is as fast as 5 km/s, which is much faster than the local shear wave velocity of ~4 km/s. Supershear rupture was incidentally observed on long and straight strike-slip faults. This study shows a supershear rupture that occured on a strike-slip fault with moderate length, implying that supershear rupture might commonly occur on large strike-slip earthquakes. The common occurrence of supershear rupture on strike-slip earthquakes will challenge present understanding of crack physics, as well as strong ground motion evaluation in earthquake engineering.  相似文献   

10.
Introduction On November 14, 2001, a great earthquake occurred in the western Kunlun Mountain area(Figure 1). The original time is 09h26min10.0s (UTC); the hypocentral location is 35.95°N,90.54°E; focal depth is 10 km from USGS National Earthquake Information Center (NEIC);MS=8.1 from China Seismic Network and Mw=7.8 from Harvard and Earthquake Research Insti-tute (ERI), University of Tokyo. This earthquake, known as the western Kunlun Mountain earth-quake, is an extraord…  相似文献   

11.
许力生  张旭  张喆 《地球物理学报》1954,63(11):4012-4022
2020年6月23日15时29分04秒(UTC),在墨西哥南部瓦哈卡州发生了一次震级为MW7.4的地震,我们利用全球地震台网(GSN)和国际数字地震台网联盟(FDSN)台网的长周期和宽频带P波数据反演分析了这次地震的震源机制、震源时间函数以及时空破裂过程.根据反演结果,这次地震的矩心震中位于15.96°N,95.89°W,矩心深度约为22 km;地震持续15 s左右,释放地震矩1.24×1020 N·m,相当于矩震级MW7.4;破裂过程比较简单,仅有一个走向和倾向方向尺度相当的凹凸体错动,最大位错达8.1 m,位于21 km深处.凹凸体破裂主要沿断层的滑动方向呈双侧破裂,两个优势破裂方向在地表投影的方位分别位于60°和270°左右.综合构造背景、震源位置、余震分布、震源机制以及时空破裂过程,我们相信这次地震是发生在北美大陆板块和太平洋海底板块相互作用的结果.海底板块朝着大约60°左右的方位运动,以大约22°的倾角插入大陆板块,造成一个凹凸体错动,形成了这次地震.  相似文献   

12.
TheM s =6.9 Gonghe, China, earthquake of April 26, 1990 is the largest earthquake to have been documented historically as well as recorded instrumentally in the northeastern Qinghai-Xizang (Tibetan) plateau. The source process of this earthquake and the tectonic stress field in the northeastern Qinghai-Xizang plateau are investigated using geodetic and seismic data. The leveling data are used to invert the focal mechanism, the shape of the slipped region and the slip distribution on the fault plane. It is obtained through inversion of the leveling data that this earthquake was caused by a mainly reverse dip-slipping buried fault with strike 102°, dip 46° to SSW, rake 86° and a seismic moment of 9,4×1018 Nm. The stress drop, strain and energy released for this earthquake are estimated to be 4.9 MPa, 7.4×10–5 and 7.0×1014 J, respectively. The slip distributes in a region slightly deep from NWW to SEE, with two nuclei, i.e., knots with highly concentrated slip, located in a shallower depth in the NWW and a deeper depth in the SEE, respectively.Broadband body waves data recorded by the China Digital Seismograph Network (CDSN) for the Gonghe earthquake are used to retrieve the source process of the earthquakes. It is found through moment-tensor inversion that theM s =6.9 main shock is a complex rupture process dominated by shear faulting with scalar seismic moment of the best double-couple of 9.4×1018 Nm, which is identical to the seismic moment determined from leveling data. The moment rate tensor functions reveal that this earthquake consists of three consecutive events. The first event, with a scalar seismic moment of 4.7×1018 Nm, occurred between 0–12 s, and has a focal mechanism similar to that inverted from leveling data. The second event, with a smaller seismic moment of 2.1×1018 Nm, occurred between 12–31 s, and has a variable focal mechanism. The third event, with a sealar seismic moment of 2.5×1018 Nm, occurred between 31–41 s, and has a focal mechanism similar to that inverted from leveling data. The strike of the 1990 Gonghe earthquake, and the significantly reverse dip-slip with minor left-lateral strike-slip motion suggest that the pressure axis of the tectonic stress field in the northeastern Qinghai-Xizang plateau is close to horizontal and oriented NNE to SSW, consistent with the relative collision motion between the Indian and Eurasian plates. The predominant thrust mechanism and the complexity in the tempo-spatial rupture process of the Gonghe earthquake, as revealed by the geodetic and seismic data, is generally consistent with the overall distribution of isoseismals, aftershock seismicity and the geometry of intersecting faults structure in the Gonghe basin of the northeastern Qinghai-Xizang plateau.Contribution No. 96 B0006 Institute of Geophysics, State Seismological Bureau, Beijing, China.  相似文献   

13.
许力生  张旭  张喆 《地球物理学报》2020,63(11):4012-4022

2020年6月23日15时29分04秒(UTC),在墨西哥南部瓦哈卡州发生了一次震级为MW7.4的地震,我们利用全球地震台网(GSN)和国际数字地震台网联盟(FDSN)台网的长周期和宽频带P波数据反演分析了这次地震的震源机制、震源时间函数以及时空破裂过程.根据反演结果,这次地震的矩心震中位于15.96°N,95.89°W,矩心深度约为22 km;地震持续15 s左右,释放地震矩1.24×1020 N·m,相当于矩震级MW7.4;破裂过程比较简单,仅有一个走向和倾向方向尺度相当的凹凸体错动,最大位错达8.1 m,位于21 km深处.凹凸体破裂主要沿断层的滑动方向呈双侧破裂,两个优势破裂方向在地表投影的方位分别位于60°和270°左右.综合构造背景、震源位置、余震分布、震源机制以及时空破裂过程,我们相信这次地震是发生在北美大陆板块和太平洋海底板块相互作用的结果.海底板块朝着大约60°左右的方位运动,以大约22°的倾角插入大陆板块,造成一个凹凸体错动,形成了这次地震.

  相似文献   

14.
Conclusions The sequence of the November 29, 1999 Xiuyan, Liaoning, earthquake withM S=5.4 is relocated, and its rupture process is analyzed. Results are as follows: The rupture extended mainly before the January 12, 2000,M S=5.1 earthquake. There are two phases of rupture extending: The first phase was before the November 29, 1999,M S=5.4 earthquake, epicenters were situated within a small region with a dimension of about 5 km, and the focal depth increased. It shows that the rupture mainly extended from shallow part to deep in the vertical direction. The second phase was between theM S=5.4 earthquake and theM S=5.1 earthquake, earthquakes migrated along southeast, the focal depth decreased. It indicates that the rupture extended along southeast and from deep to shallow part. Foundation item: The Project of “Mechanism and Prediction of the Strong Continental Earthquake” (95-13-05-04). Contribution No. 01FE2017, Institute of Geophysics, China Seismological Bureau.  相似文献   

15.
IntroductionIntheanalogrecordingera,onlyarrivaltimePwaveonsetandmaximumamplitudeofrecordingswereusedtocalculatetheparametersofearthquakefool.Sincelate1970s,withtheincreasingnumberofdigitalseismicnetworkcomingintooperation,itispossibletodofurtherresearchesinfocalphysics.Toinvertmoredetailedparameterssuchastempo-spatialprocessesofearthquakefoolusingdigitalseismicdataisanimportantfieldindigitalseismology.Sourcetimefunction(STF)isoneofkeyparametersaboutruptureprocessesofearthquakefocuses.Spontan…  相似文献   

16.
SourceparametersoftheGonghe,QinghaiProvince,China,earthquakefrominversionofdigitalbroadbandwaveformdataLI-SHENGXU(许立生)andYUN...  相似文献   

17.
An earthquake of M S=7.4 occurred in Mani, Xizang (Tibet), China on November 8, 1997. The moment tensor of this earthquake was inverted using the long period body waveform data from China Digital Seismograph Network (CDSN). The apparent source time functions (ASTFs) were retrieved from P and S waves, respectively, using the deconvolution technique in frequency domain, and the tempo-spatial rupture process on the fault plane was imaged by inverting the azimuth dependent ASTFs from different stations. The result of the moment tensor inversion indicates that the P and T axes of earthquake-generating stress field were nearly horizontal, with the P axis in the NNE direction (29°), the T axis in the SEE direction (122°) and that the NEE-SWW striking nodal plane and NNW-SSE striking nodal plane are mainly left-lateral and right-lateral strike-slip, respectively; that this earthquake had a scalar seismic moment of 3.4×1020 N·m, and a moment magnitude of M W=7.6. Taking the aftershock distribution into account, we proposed that the earthquake rupture occurred in the fault plane with the strike of 250°, the dip of 88° and the rake of 19°. On the basis of the result of the moment tensor inversion, the theoretical seismograms were synthesized, and then the ASTFs were retrieved by deconvoving the synthetic seismograms from the observed seismograms. The ASTFs retrieved from the P and S waves of different stations identically suggested that this earthquake was of a simple time history, whose ASTF can be approximated with a sine function with the half period of about 10 s. Inverting the azimuth dependent ASTFs from P and S waveforms led to the image showing the tempo-spatial distribution of the rupture on the fault plane. From the "remembering" snap-shots, the rupture initiated at the western end of the fault, and then propagated eastward and downward, indicating an overall unilateral rupture. However, the slip distribution is non-uniform, being made up of three sub-areas, one in the western end, about 10 km deep ("western area"); another about 55 km away from the western end and about 35 km deep ("eastern area"); the third about 30 km away from the western end and around 40 km deep ("central area"). The total rupture area was around 70 km long and 60 km wide. From the "forgetting" snap-shots, the rupturing appeared quite complex, with the slip occurring in different position at different time, and the earthquake being of the characteristics of "healing pulse". Another point we have to stress is that the locations in which the rupture initiated and terminated were not where the main rupture took place. Eventually, the static slip distribution was calculated, and the largest slip values of the three sub-areas were 956 cm, 743 cm and 1 060 cm, for the western, eastern and central areas, respectively. From the slip distribution, the rupture mainly distributed in the fault about 70 km eastern to the epicenter; from the aftershock distribution, however, the aftershocks were very sparse in the west to the epicenter while densely clustered in the east to the epicenter. It indicated that the Mani M S=7.9 earthquake was resulted from the nearly eastward extension of the NEE-SWW to nearly E-W striking fault in the northwestern Tibetan plateau. Contribution No. 99FE2016, Institute of Geophysics, China Seismological Bureau. This work is supported by SSTCC Climb Project 95-S-05 and NSFDYS 49725410.  相似文献   

18.
利用从IRIS上获取的11个台站震相清晰的P波波形记录资料对2000年姚安MS6.5地震的震源破裂过程进行了反演,结果表明:(1)地震破裂持续时间为5.6s,破裂主要集中在破裂开始0.2s后的时间段内,由两次2s多的破裂组成,而且后一次破裂的强度超过了前一次;(2)静态滑动位移和应力降分布图均显示存在震中区和震中以东区两个变化比较明显的区域,破裂沿北西向断裂进行。  相似文献   

19.
An analysis of source parameters of the two unexpected earthquakes from the Kaliningrad (Russia) area is presented. The earthquakes occurred on 21 September 2004 at 11:05:01 and 13:32:31 UT, respectively. The first event was located at the latitude φ = 54.924°N and the longitude λ = 20.120°E, with a depth h = 16 km, and the second event at φ = 54.876°N, λ = 20.120°E and h = 20 km. Magnitudes Mw of the two events were very similar: 5.1 and 5.2. The magnitude values reported by various international data centers have been meaningfully different. The reason is the presence of high-frequency components in Z velocity component of the S wavefield. They were observed along the direction defined by two stations, BLEU in Sweden and SUW in Poland, located in opposite sides of the source. Along the direction perpendicular to it, the effects are relatively very small. The high-frequency waves are understood to mean components in the 6–8 Hz band for event 1 and 2-4 Hz for event 2. The effects in question are also clearly visible on displacement spectrograms. The magnitude values calculated at such stations from S-wave amplitudes or from seismic spectra are clearly overestimated and are close to 6. Therefore, we made a careful selection of channels in order to determine the spectral parameters and, on this basis, the source parameters. The size of the source is relatively small, of about 2 km. The closest seismic station is at 100 source radii from the source. One can clearly see the effect of the TT zone which markedly reduces the seismic moment value for seismic stations laying on the opposite sides of the source. Both events have very similar spatial distributions of the source parameters: magnitude, seismic moment and radius.  相似文献   

20.
The new inversion algorithm developed based on the recent progress in the nonlinear programming study by us is used to invert the earthquake source process of Chi Chi earthquake M w7.6, 20 Semptember, 1999, Taiwan. A curve fault model is constructed in our inversion to make the fault model close to the real rupturing fault to reduce the influence from the discrepancy between the constructed fault model and the real rupturing fault. The results show that (1) the rupture process of the Chi Chi earthquake source lasted about 32 seconds and the main faulting occurred between 6th to 21st second after the start of the ruptures and the high slip area were mainly located at the northern segment of the fault. (2) The slip was dominated by thrust faulting. The average rake angle was 64.5°, which was very consistent with those inverted by USGS, Harvard and CWB (Central Weather Bureau of Taiwan). The amount of the moment inverted in this paper was 7.76×1020 NM, which was a slightly bigger than those inverted by USGS and Harvard. (3) A clear nucleation step existed in the source faulting process and it lasted about 6 seconds. The moment release rate accelerated obviously at the end of the nucleation step. The faulting started from the southern segment and mainly occurred at the northern segment after 10 seconds. At the end of this paper, we analyzed the reliability of the inversion result via comparing with the GPS observations and discussed its scientific signification.  相似文献   

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