To calculate the deviations between single station magnitudes and average ones by the magnitude residual statistical method,the paper selects 13086 seismic events recorded by the Gansu broadband digital seismic networ...To calculate the deviations between single station magnitudes and average ones by the magnitude residual statistical method,the paper selects 13086 seismic events recorded by the Gansu broadband digital seismic network from January 2009 to December 2012. The frequency distribution and quantitative statistics of the deviations of earthquake magnitude are analyzed. The MLcalibration function is modified and a uniform local magnitude system characteristic of the Gansu region,is obtained.展开更多
On the basis of the local magnitude scale for earthquakes in China and using the data observed by main regional networks in China from 1985 to 1986,the regional calibration functions RLE(△)(suitable for Eastern China...On the basis of the local magnitude scale for earthquakes in China and using the data observed by main regional networks in China from 1985 to 1986,the regional calibration functions RLE(△)(suitable for Eastern China)and RLW(△)(suitable for Western China)are established through the statistic analysis of magnitude residuals and study of the average attenuation shape of the maximal phase of near shocks,and the regions in which they apply are defined.For Eastern China,For Western China,展开更多
The author carefully selected earthquakes with M_L=4.0～5.0, 215 occurring in the crust in the Taiwan region. The attenuation characteristics of maximum displacement recorded by the Fujian digital network have been ob...The author carefully selected earthquakes with M_L=4.0～5.0, 215 occurring in the crust in the Taiwan region. The attenuation characteristics of maximum displacement recorded by the Fujian digital network have been obtained by multi-analysis as follows:logA=2.07+231.1/Δ (150km≤Δ≤650km) And the corresponding expression of calibration function is, R(Δ)=3.45-231.1(1/Δ-0.01) (150km≤Δ≤650km) Then, the author determined the magnitude and its error with the data from the Fujian network using the calibration function brought forward in 1997 and the above formula for 790 earthquakes occurring in the crust in the Taiwan region from September 1997 ～ August 2005. The result indicates that the average error of the network is 0.20 with the former and 0.18 with the latter. The average error is 0.13 with the latter with station correction. Compared with the magnitude determined by Taiwan seismologists, the magnitude value with the former is lower by 0.50 on average and that with the latter is higher by 0.08 on average.展开更多
The calibration function for surface wave magnitude of DK1 seismograph is deduced by using least squares method of error theory based on the records of DK1 seismograph from 1987 to 1993 and the MS magnitude define...The calibration function for surface wave magnitude of DK1 seismograph is deduced by using least squares method of error theory based on the records of DK1 seismograph from 1987 to 1993 and the MS magnitude defined by International Seismological Center (ISC) as basic standard, which takes the form σ DK1 ( Δ )=(1.66±0.034)lg( Δ )+(3.2±0.11) (10° ≤ Δ ≤ 130°, T =8～20 s) From its physical essence, the calibration function for estimating surface wave magnitude by DK1 seismograph can be also deduced by means of the wave propagation theory in layer media, if the dispersion of seismic wave, absorption of media and the effect of the linear filter consisting of earth media and DK1 seismographs on the amplitudes and periods of surface wave are taken into account and it is also assumed that the maximum amplitude is response to Airy?s phase, which takes the form σ DK1 ( Δ )=1.661lg( Δ )+3.3 (10°≤ Δ ≤170°) No correction value is needed when using the calibration function deduced in this paper. Examination on surface wave magnitude of 315 events by 36 prompt earthquake stations and DK1 prompt network shows there exits no systematical error between surface magnitudes of MS (DK1) and MS (ISC) given by ISC and the average error is approximately zero.展开更多
The current calibration function used in calculating the magnitude of natural earthquakes within 5km is a constant; a fact that causes several serious difficulties for the calculation of the magnitude of small and sha...The current calibration function used in calculating the magnitude of natural earthquakes within 5km is a constant; a fact that causes several serious difficulties for the calculation of the magnitude of small and shallow-focus earthquakes. According to the attenuation law of explosions and the propagation theory of elastic waves, the calibration function is calculated for near field quakes from 0km to 5km. Magnitudes of two aftershock sequences are calculated. The magnitudes of most explosion earthquakes are small, ranging mainly from magnitude -0.5 to 1.0. The M-t chart of the explosive aftershocks is completely different from that of strong earthquake aftershocks. It not only shows positive columnar lines indicating large magnitudes but also short negative columnar lines indicating small magnitudes.展开更多
Several common dual quaternion functions,such as the power function,the magnitude function,the 2-norm function,and the kth largest eigenvalue of a dual quaternion Hermitian matrix,are standard dual quaternion function...Several common dual quaternion functions,such as the power function,the magnitude function,the 2-norm function,and the kth largest eigenvalue of a dual quaternion Hermitian matrix,are standard dual quaternion functions,i.e.,the standard parts of their function values depend upon only the standard parts of their dual quaternion variables.Furthermore,the sum,product,minimum,maximum,and composite functions of two standard dual functions,the logarithm and the exponential of standard unit dual quaternion functions,are still standard dual quaternion functions.On the other hand,the dual quaternion optimization problem,where objective and constraint function values are dual numbers but variables are dual quaternions,naturally arises from applications.We show that to solve an equality constrained dual quaternion optimization(EQDQO)problem,we only need to solve two quaternion optimization problems.If the involved dual quaternion functions are all standard,the optimization problem is called a standard dual quaternion optimization problem,and some better results hold.Then,we show that the dual quaternion optimization problems arising from the hand-eye calibration problem and the simultaneous localization and mapping(SLAM)problem are equality constrained standard dual quaternion optimization problems.展开更多
Using the data set of 20±2 sec and(A/T)max of surface waves recorded by Type-763 and Type-SK seismographs from five stations in Beijing and elsewhere,the mean square deviations u and relative mean deviations D of...Using the data set of 20±2 sec and(A/T)max of surface waves recorded by Type-763 and Type-SK seismographs from five stations in Beijing and elsewhere,the mean square deviations u and relative mean deviations D of Ms values determined by five calibration functions(a,a763,a300 aN and from Msz(NEIS)are compared and analyzed.Results show that a and a763 are rather good between 20° and 160°;and a763 are rather good between 10 and 30 for 20 sec; a300 is relatively good between 160 and 179.展开更多
矿山微震事件震源位置和近震震级是矿震最基本的参数,其准确计算对矿震事件分析与信息挖掘具有重要作用。介绍了一种有别于传统定位思路的定位方法—虚拟场优化法(virtual field optimization method,VFOM),并给出了以台站计算震级偏差...矿山微震事件震源位置和近震震级是矿震最基本的参数,其准确计算对矿震事件分析与信息挖掘具有重要作用。介绍了一种有别于传统定位思路的定位方法—虚拟场优化法(virtual field optimization method,VFOM),并给出了以台站计算震级偏差最小为目标的近震震级公式回归方法。将VFOM和近震震级参数回归方法用于开阳磷矿用沙坝矿区401个微震事件的震源定位和近震震级公式的重新标定。结果表明,定位结果可靠,重新标定震级公式得到的震级台站偏差相比于现有公式有明显的减小。此外,采用标定震级公式计算的震级分布观察到了明显的双峰分布现象,表明用沙坝矿的微震数据可能由两种成因的事件构成。实例表明,不同地区的近震震级计算公式必须根据实测数据重新标定,否则将可能丢失一些重要的震级分布特征。展开更多
基金supported by the China National Special Fund for Earthquake Scientific Research in Public Interests(201308009)
文摘To calculate the deviations between single station magnitudes and average ones by the magnitude residual statistical method,the paper selects 13086 seismic events recorded by the Gansu broadband digital seismic network from January 2009 to December 2012. The frequency distribution and quantitative statistics of the deviations of earthquake magnitude are analyzed. The MLcalibration function is modified and a uniform local magnitude system characteristic of the Gansu region,is obtained.
文摘On the basis of the local magnitude scale for earthquakes in China and using the data observed by main regional networks in China from 1985 to 1986,the regional calibration functions RLE(△)(suitable for Eastern China)and RLW(△)(suitable for Western China)are established through the statistic analysis of magnitude residuals and study of the average attenuation shape of the maximal phase of near shocks,and the regions in which they apply are defined.For Eastern China,For Western China,
基金This project was funded by the Department of Science and Technology of China Earthquake Administration
文摘The author carefully selected earthquakes with M_L=4.0～5.0, 215 occurring in the crust in the Taiwan region. The attenuation characteristics of maximum displacement recorded by the Fujian digital network have been obtained by multi-analysis as follows:logA=2.07+231.1/Δ (150km≤Δ≤650km) And the corresponding expression of calibration function is, R(Δ)=3.45-231.1(1/Δ-0.01) (150km≤Δ≤650km) Then, the author determined the magnitude and its error with the data from the Fujian network using the calibration function brought forward in 1997 and the above formula for 790 earthquakes occurring in the crust in the Taiwan region from September 1997 ～ August 2005. The result indicates that the average error of the network is 0.20 with the former and 0.18 with the latter. The average error is 0.13 with the latter with station correction. Compared with the magnitude determined by Taiwan seismologists, the magnitude value with the former is lower by 0.50 on average and that with the latter is higher by 0.08 on average.
文摘The calibration function for surface wave magnitude of DK1 seismograph is deduced by using least squares method of error theory based on the records of DK1 seismograph from 1987 to 1993 and the MS magnitude defined by International Seismological Center (ISC) as basic standard, which takes the form σ DK1 ( Δ )=(1.66±0.034)lg( Δ )+(3.2±0.11) (10° ≤ Δ ≤ 130°, T =8～20 s) From its physical essence, the calibration function for estimating surface wave magnitude by DK1 seismograph can be also deduced by means of the wave propagation theory in layer media, if the dispersion of seismic wave, absorption of media and the effect of the linear filter consisting of earth media and DK1 seismographs on the amplitudes and periods of surface wave are taken into account and it is also assumed that the maximum amplitude is response to Airy?s phase, which takes the form σ DK1 ( Δ )=1.661lg( Δ )+3.3 (10°≤ Δ ≤170°) No correction value is needed when using the calibration function deduced in this paper. Examination on surface wave magnitude of 315 events by 36 prompt earthquake stations and DK1 prompt network shows there exits no systematical error between surface magnitudes of MS (DK1) and MS (ISC) given by ISC and the average error is approximately zero.
文摘The current calibration function used in calculating the magnitude of natural earthquakes within 5km is a constant; a fact that causes several serious difficulties for the calculation of the magnitude of small and shallow-focus earthquakes. According to the attenuation law of explosions and the propagation theory of elastic waves, the calibration function is calculated for near field quakes from 0km to 5km. Magnitudes of two aftershock sequences are calculated. The magnitudes of most explosion earthquakes are small, ranging mainly from magnitude -0.5 to 1.0. The M-t chart of the explosive aftershocks is completely different from that of strong earthquake aftershocks. It not only shows positive columnar lines indicating large magnitudes but also short negative columnar lines indicating small magnitudes.
基金Hong Kong Innovation and Technology Commission(InnoHK Project CIMDA).
文摘Several common dual quaternion functions,such as the power function,the magnitude function,the 2-norm function,and the kth largest eigenvalue of a dual quaternion Hermitian matrix,are standard dual quaternion functions,i.e.,the standard parts of their function values depend upon only the standard parts of their dual quaternion variables.Furthermore,the sum,product,minimum,maximum,and composite functions of two standard dual functions,the logarithm and the exponential of standard unit dual quaternion functions,are still standard dual quaternion functions.On the other hand,the dual quaternion optimization problem,where objective and constraint function values are dual numbers but variables are dual quaternions,naturally arises from applications.We show that to solve an equality constrained dual quaternion optimization(EQDQO)problem,we only need to solve two quaternion optimization problems.If the involved dual quaternion functions are all standard,the optimization problem is called a standard dual quaternion optimization problem,and some better results hold.Then,we show that the dual quaternion optimization problems arising from the hand-eye calibration problem and the simultaneous localization and mapping(SLAM)problem are equality constrained standard dual quaternion optimization problems.
文摘Using the data set of 20±2 sec and(A/T)max of surface waves recorded by Type-763 and Type-SK seismographs from five stations in Beijing and elsewhere,the mean square deviations u and relative mean deviations D of Ms values determined by five calibration functions(a,a763,a300 aN and from Msz(NEIS)are compared and analyzed.Results show that a and a763 are rather good between 20° and 160°;and a763 are rather good between 10 and 30 for 20 sec; a300 is relatively good between 160 and 179.
文摘矿山微震事件震源位置和近震震级是矿震最基本的参数,其准确计算对矿震事件分析与信息挖掘具有重要作用。介绍了一种有别于传统定位思路的定位方法—虚拟场优化法(virtual field optimization method,VFOM),并给出了以台站计算震级偏差最小为目标的近震震级公式回归方法。将VFOM和近震震级参数回归方法用于开阳磷矿用沙坝矿区401个微震事件的震源定位和近震震级公式的重新标定。结果表明,定位结果可靠,重新标定震级公式得到的震级台站偏差相比于现有公式有明显的减小。此外,采用标定震级公式计算的震级分布观察到了明显的双峰分布现象,表明用沙坝矿的微震数据可能由两种成因的事件构成。实例表明,不同地区的近震震级计算公式必须根据实测数据重新标定,否则将可能丢失一些重要的震级分布特征。
