The instability of the <Emphasis Type="Italic">M</Emphasis><Subscript>W</Subscript> and <Emphasis Type="Italic">M</Emphasis><Subscript>L</Subscript> comparison for earthquakes in Greece for the period 1969 to 2007

We use 576 earthquakes of magnitude, M _w, 3.3 to 6.8 that occurred within the region 33° N–42.5° N, 19° E–30° E in the time period 1969 to 2007 to investigate the stability of the relation between moment magnitude, M _w, and local magnitude, M _L, for earthquakes in Greece and the surrounding regions. We compare M _w to M _L as reported in the monthly bulletins of the National Observatory of Athens (NOA) and to M _L as reported in the bulletins of the Seismological Station of the Aristotle University of Thessaloniki. All earthquakes have been analyzed through regional or teleseismic waveform inversion, to obtain M _w, and have measured maximum trace amplitudes on the Wood–Anderson seismograph in Athens, which has been in operation since 1964. We show that the Athens Wood–Anderson seismograph performance has changed through time, affecting the computed by NOA M _L by at least 0.1 magnitude units. Specifically, since the beginning of 1996, its east–west component has been recording systematically much larger amplitudes compared to the north–south component. From the comparison between M _w and M _L reported by Thessaloniki, we also show that the performance of the sensors has changed several times through time, affecting the calculated M _L’s. We propose scaling relations to convert the M _L values reported from the two centers to M _w. The procedures followed here can be applied to other regions as well to examine the stability of magnitude calculations through time.     

The revised m Lg scale in six eastern provinces of China

The influence of the four different methods of measuring Lg amplitude, and the selection of different geometrical attenuation coefficient ζ-values (=5/6 or 1) on the determination ofγ value of Lg wave are discussed.γ=0.0034±0.0001km⁻¹ (when ζ=5/6) for six eastern provinces is redetermined. The revised magnitude calibration function ofm _Lg (mxh),q _E (Δ)=(5/6)logΔ+0.00147Δ+1.81 is deduced. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,13, 171–178, 1991. Projects sponsored by the Chinese Joint Seismological Science Foundation.     

Comparison between earthquake magnitudes determined by China seismograph network and US seismograph network （Ⅱ）： Surface wave magnitude

By using orthogonal regression method, a systematic comparison is made between surface wave magnitudes determined by Institute of Geophysics of China Earthquake Administration （IGCEA） and National Earthquake Information Center of US Geological Survey （USGS/NEIC） on the basis of observation data collected by the two institutions between 1983 and 2004. A formula is obtained which reveals the relationship between surface wave magnitudes determined by China seismograph network and US seismograph network. The result shows that, as different calculation formulae and observational instruments are used, surface wave magnitude determined by IGCEA is generally greater by 0.2 than that determined by NEIC： for M=3.5-4.5 earthquakes, it is greater by 0.3; for M=5.0-6.5 earthquakes, it is greater by 0.2; and for M≥7.0 earthquakes, it is greater by no more than 0.1.     

Estimation of seismic stress drop from the peak velocity of ground motion

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A new model on bidirectional reflectance surface-atmospheric coupled radiation

An exact and available model on bidirectional reflectance surface-atmospheric coupled radiation is of great significance for spaceborne remote sensing application. Based on the physical process of interaction of solar radiation with the surface and the atmosphere, a new model on bidirectional reflectance surface-atmospheric coupled radiation is developed in this paper. As shown in numerical simulation, this model is evidently better than the 6S model. The standard error among 110112 sets of upward radiance data calculated by this new model is only 0.49%, which is about one fourth of the one by 6S. In the condition of the solar zenith angle θ_s⩽75° and the viewing angle θ _v⩽ 60°, the error by the new model is usually smaller than 2.5%.     

Empirical Global Relations Converting M S and m b to Moment Magnitude

The existence of several magnitude scales used by seismological centers all over the world and the compilation of earthquake catalogs by many authors have rendered globally valid relations connecting magnitude scales a necessity. This would allow the creation of a homogeneous global earthquake catalog, a useful tool for earthquake research. Of special interest is the definition of global relations converting different magnitude scales to the most reliable and useful scale of magnitude, the moment magnitude, M _W. In order to accomplish this, a very large sample of data from international seismological sources (ISC, NEIC, HRVD, etc.) has been collected and processed. The magnitude scales tested against M _W are the surface wave magnitude, M _S, the body wave magnitude, m _b, and the local magnitude, M _L. The moment magnitudes adopted have been taken from the CMT solutions of HRVD and USGS. The data set used in this study contains 20,407 earthquakes, which occurred all over the world during the time period 1.1.1976–31.5.2003, for which moment magnitudes are available. It is shown that well-defined relations hold between M _W and m _b and M _S and that these relations can be reliably used for compiling homogeneous, with respect to magnitude, earthquake catalogs.     

Comparison between earthquake magnitudes determined by China seismograph network and US seismograph networks (I): Body wave magnitude

Introduction Gutenberg (1945a, b) introduced body wave magnitude based on P, PP and S waves (with a period of 0.5~12.0 s) of teleseismic events. Body wave magnitude includes mb determined with short-period seismograph and mB determined with middle- and long-period seismographs. Some-times it is written as m, which is referred to as unified earthquake magnitude. mb represents earth-quake magnitude measured with body wave amplitude around 1 s, while mB represents earthquake magnitude measured …     

The M<Subscript>D</Subscript> Scale in Northern Morocco: A Comparative Study of Two Empirical Approaches

We have derived, evaluated, and compared two empirical methods for computing duration magnitude M _D from 25 short-period vertical component stations of the Northern Morocco Seismic Network (NMSN). M _D has been scaled to IGN (Insituto Geograpfico National, Spain) body-wave magnitude (mb ^IGN ), using a set of 479 shallow (less than 30 km) earthquakes recorded from March 1992 to February 2001, with 2.5 ≤ mb ^IGN ≤ 5.4. In the first approach: Individual Network Calibration, we determined an individual M _D formula for each station. In the second approach: Global Network Calibration, we used a single relationship to compute M _Dij (from the jth observation for the i-th earthquake) magnitudes at 25 selected stations as: M _Dij = − 0.14 +1.63 log₁₀ (τ _ij )+0.031(Δij)+cSta _j . Residuals (M _Dij − mb ^IGN ) for both techniques were thereafter deduced. Comparison between the two approaches provided the principal results: (1) The mean correlation between estimated magnitude; M _Dij and reference magnitude; mb ^IGN is about 89.9% for the individual calibration method, and near 95% for global calibration method in which station corrections cSta _j were introduced, (2) Residuals (M _Dij − mb ^IGN ) are relatively large, and are ranging between − 0.60 and 0.60 magnitude units, for the individual calibration method, whereas they vary in the range − 0.38 to 0.40, for the global calibration method with corrections; cSta _j . (3) A random distribution of residuals (M _Dij − mb ^IGN ) is observed for each station in the case of the individual approach. Thus, the resulting average of these residuals is almost equal to zero. Using a global calibration without corrections results in negative residuals for a group stations and positive residuals for another an group indicating respectively that sites corresponding to these groups have a tendency to underestimate, or overestimate observed magnitude values.     

A regional surface wave magnitude scale for the earthquakes of Russia’s Far East

The modified scale M _s(20R) is developed for the magnitude classification of the earthquakes of Russia’s Far East based on the surface wave amplitudes at regional distances. It extends the applicability of the classical Gutenberg scale M _s(20) towards small epicentral distances (0.7°–20°). The magnitude is determined from the amplitude of the signal that is preliminarily bandpassed to extract the components with periods close to 20 s. The amplitude is measured either for the surface waves or, at fairly short distances of 0.7°–3°, for the inseparable wave group of the surface and shear waves. The main difference of the M _s(20R) scale with the traditional M _s(BB) Soloviev–Vanek scale is its firm spectral anchoring. This approach practically eliminated the problem of the significant (up to–0.5) regional and station anomalies characteristic of the M _s(BB) scale in the conditions of the Far East. The absence of significant station and regional anomalies, as well as the strict spectral anchoring, make the M _s(20R) scale advantageous when used for prompt decision making in tsunami warnings for the coasts of Russia’s Far East.     

The empirical relationships between M s, m b and M L for China and vicinity

Data from 753 earthquakes are used to determine a relationship between surface-wave magnitude (M _s) and bodywave magnitude (m _b), and from 541 earthquakes to determine a relationship between surface-wave magnitude (M _s) and local magnitude (M _L) for China and vicinity: M _s=0.9883 m _b-0.0420, M _s=0.9919 M _L-0.1773. The relationship of M _s versus m _b is obtained for 292 events occurred in the Chinese mainland in the time period from 1964 to 1996, 291 events occurred in Taiwan in the time period from 1964 to 1995 and 170 events occurred in the surrounding area. Standard deviation of the fitting is 0.445. Relationship of M _s versus M _L is obtained for 36 events occurred in the Chinese mainland, 293 events occurred in Taiwan, China and 212 events occurred in the surrounding area. The total amount is 541 events. Standard deviation of the fitting is 0.4673. The uncertainties of the converted M _s in different magnitude intervals can be estimated using complementary cumulative distribution function (CCDF). In the relationship of M _s versus m _b, taking ±0.25 as a range of uncertainties, in magnitude interval m _b 4.0–4.9, the probabilities for the converted M _s taken value less than (M _s-0.25) and more than (M _s+0.25) are 17% and 27% respectively. Similarly, we have probabilities for m _b 5.0–5.9 are 34% and 20% and that for m _b 6.0–6.9 are 11% and 47%. In the relationship of M _s versus M _L, if the range of uncertainties is still taken as ±0.25, the corresponding probabilities for magnitude interval M _L 4.0–4.9 are 22% and 38%, for M _L 5.0–5.9 are 20% and 15% and for magnitude interval M _L 6.0–6.9, are 15% and 29%, respectively. The relationships developed in this paper can be used for the conversion of one magnitude scale into another magnitude scales conveniently. The estimation of uncertainties described in this paper is more accurate and more objective than the usual estimation expressed by deviation. The estimations described in this paper indicate various dispersions in different magnitude intervals of original data. The estimations of uncertainties described by probabilities can be well connected with the total estimations of uncertainties in seismic hazard assessment.     

CalculationoflongperiodresponsespectratoearthquakegroundmotionfromseismogramsofType513seismographs

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矩震级及震源机制相似地震的辐射能量差别——2014年鲁甸地震与景谷地震宽频带体波震级的比较

2014年8月3日鲁甸地震和10月7日景谷地震具有相似的矩震级和震源机制,但所造成的灾害却相差甚远。为考察地震辐射能量在这两次地震致灾过程中的作用,本文利用震中距6°~80°范围内记录了鲁甸地震的142个台站、记录了景谷地震的138个台站的宽频带地震记录,计算了累积宽频带体波震级m_(Bc)。结果表明鲁甸地震的m_(Bc)高于景谷地震,因此地震辐射能量的差别对解释两次地震灾害的差别有不可忽视的作用。     

Statistical testing of the relation between burst of aftershocks and strong earthquakes

According to geological tectonics and seismic activites this paper devided North China (30°–45°N, 105°–130°E) into four areas. We analyzed the North China earthquake catalogue from 1970 to 1986 (from 1965 to 1986 for Huabei, the North China, plain region) and identified forty-two bursts of aftershock. Seven of them occurred in aftershock regions of strong earthquakes and seventeen of them in the seismic swarm regions. The relation between strong earthquakes with the remaining eighteen bursts of aftershocks has been studied and tested statistically in this paper. The result of statistical testing show that the random probabilityp of coincidence of bursts of aftershock with subsequent strong earthquakes is less than six percent. By Xu’sR scoring method the efficacy of predicting strong earthquake from bursts of aftershock is estimated greater than 39 percent. Following the method proposed in the paper we analyzed the earthquake catalogue of China from 1987 to June, 1988. The results show that there was only one burst of aftershock occurred on Jan. 6, 1988 withM=3.6 in Xiuyan of Northeast China. It implicates that a potential earthquake withM _S⩽5 might occur in one year afterwards in the region of Northeast China. Actually on Feb. 25, 1988 an earthquake withM _S=5.3 occurred in Zhangwu of Northeast China. Another example is Datong-Yanggao shock on October 18, 1989 which is a burst of aftershock. Three hours after an expected shock withM =6.1 took place in the same area. Two examples above have been tested in practical prediction and this shows that bursts of aftershocks are significant in predicting strong earthquakes. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,13, 273–280, 1991. Part of earthquake catalogue is from Jinbiao Chen, Peiyan Chen and Quanlin Li.     

据地壳介质非均匀性判断郯庐断裂带鲁苏段未来大震位置

从大尺度和小尺度两方面研究郯庐断裂带苏鲁段地壳介质非均匀性。使用地震波数据,研究了郯庐断裂带苏鲁段地壳速度结构的非均匀性,单位虚波Q_mps的非均匀性,地壳介质泊松比的非均匀性,反映地壳介质小尺度非均匀性的分层κ值和y值。计算了1668年郯城8 1/2级地震震源区长度和沿断裂带的震源区边界,根据地震构造和地震活动性确定断裂的闭锁段,地震应力的积累单元和调整单元。对比1668年郯城8 1/2级地震的地壳介质状况,将各种非均匀性参数综合分析,结果表明,各种参数指向一致,未来大震的可能区域是33°-34.5°N,118°-118.8°E的北北东向区域,震级可达8级。     

Characteristics of ambient stress values for micro－earthquake sequences in Western Yunnan Earthquake Prediction Experimental Field

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The 20-second regional magnitude <Emphasis Type="Italic">M</Emphasis><Subscript><Emphasis Type="Italic">S</Emphasis></Subscript>(20R) for the Russian Far East

A new modified magnitude scale M _S (20R) is elaborated. It permits us to extend the teleseismic magnitude scale M _S (20) to the regional epicenter distances. The data set used in this study contains digital records at 12 seismic stations of 392 earthquakes that occured in the northwest Pacific Ocean in the period of 1993–2008. The new scale is based on amplitudes of surface waves of a narrow range of the periods (16–25 s) close to the period of 20 s, for distances of 80–3000 km. The digital Butterworth filter is used for processing. On the basis of the found regional features concerning distance dependence for seismic wave attenuation, all the stations of the region have been subdivided into two groups, namely, “continental” and “island-arc.” For each group of stations, its own calibration function is proposed. Individual station corrections are used to compensate for the local features.     

Magnitude reassessment of New Zealand earthquakes

The surface-wave magnitudes of a selection of New Zealand earthquakes have been determined on a consistent basis using the ‘Prague formula’ and station corrections. The earthquakes range in magnitude from about 5 to 7.8, covering the instrumental period 1901–1988. Magnitudes for many of the earlier events had not been properly determined previously; and some significant discrepancies from the traditional magnitudes were found. The use of European station data (160° < D < 175°) is important to New Zealand because of its geographical isolation. These distant data were found to give consistently slightly higher M_s than closer stations, but could be used without bias through the station correction procedure. The relationship between M_s and M_L was found for 31 ‘shallow’ New Zealand events and much of the scatter was explained as a function of depth. Significant differences in M_s/M_L expressions from Europe and California were also found. The limited New Zealand data for M_w and M₀ related well to Californian and global relationships with M_s.     

Rayleigh wave magnitude scaleM s

Summary TheM _s Rayleigh wave magnitude formula is revised for purposes of eliminating the variable effects of near distances and propagation pats on the values computed from standard long period seismograms. The improved formulation employs a revised distance correction function and period dependent path correction that normalisesM _s to large teleseismic distance, 20 second values. The method for computing the path corrections is described. The magnitude scale presented here givesM _s values which are within ±0.1 magnitude units of the Gutenberg and Prague magnitude formulae.     

Homogenization of Earthquake Catalog for Northeast India and Adjoining Region

A catalog for northeast India and the adjoining region for the period 1897–2009 with 4,497 earthquakes events is compiled for homogenization to moment magnitude M _w,GCMT in the magnitude range 3–8.7. Relations for conversion of m _b and M _s magnitudes to M _w,GCMT are derived using three different methods, namely, linear standard regression, inverted standard regression (ISR) and orthogonal standard regression (OSR), for different magnitude ranges based on events data for the catalog period 1976–2006. The OSR relations for M _s to M _w,GCMT conversion derived in this paper have significantly lower errors in regression parameters compared to the relations reported in other studies. Since the number of events with magnitude ≥7 for this region is scanty, we, therefore, considered whole India region to obtain the regression relationships between M _w,GCMT and M _s,ISC. A relationship between M _w,GCMT and M _w,NEIC is also obtained based on 17 events for the range 5.2 ≤ magnitude ≤ 6.6. A unified homogeneous catalog prepared using the conversion relations derived in this paper can serve as a reference catalog for seismic hazard assessment studies in northeast India and the adjoining region.     

Source parameters of bohai earthquake, July 18, 1969 and yongshan earthquake, May 11, 1974 determined by synthetic seismograms of teleseismic P waves

The source parameters of the Bohai Sea earthquake, July 18, 1969 and Yongshan, Yunnan earthquake, May 11, 1974 were determined by full — wave theory synthetic seismograms of teleseismic P waves. P+pP+sP wereform were calculated with WKBJ approximation and real integral paths. One — dimensional unilateral, finite propagation source was also considered. By trail — and — error in comparing the theoretical seismograms with the observational ones of WWSSN stations, the source parameters were obtained as follow: for Bohai earthquake, φ=195°, δ=85°, λ=65°,M _o=0.9×10¹⁹Nm,L=59.9km.V _R=3.5km/s, ∧ _R =160°; for Yongshan earthquake, φ=240°, δ=80°, ∧=150°,M _o=1.3×10¹⁸Nm,L=48.8km,V _R=3km/s, ∧ _R =−10°, where φ is strike, δ dip angle, λ slip angle,M _o seismic moment,L rupture length,V _R rupture propagation speed. As III type fractures the faulting propagated along the fault planes, and ∧ _R is the angle from the strike to the propagation direction. Yongshan earthquake showed complexity in its focal process, having four sub—ruptures during the first 60 seconds. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,13, 1–8, 1991.