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3D DEM simulation of hard rock fracture in deep tunnel excavation induced by changes in principal stress magnitude and orientation 被引量:1
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作者 Weiqi Wang Xia-Ting Feng +2 位作者 Qihu Wang Rui Kong Chengxiang Yang 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第10期3870-3884,共15页
To achieve the loading of the stress path of hard rock,the spherical discrete element model(DEM)and the new flexible membrane technology were utilized to realize the transient loading of three principal stresses with ... To achieve the loading of the stress path of hard rock,the spherical discrete element model(DEM)and the new flexible membrane technology were utilized to realize the transient loading of three principal stresses with arbitrary magnitudes and orientations.Furthermore,based on the deep tunnel of China Jinping Underground Laboratory II(CJPL-II),the deformation and fracture evolution characteristics of deep hard rock induced by excavation stress path were analyzed,and the mechanisms of transient loading-unloading and stress rotation-induced fractures were revealed from a mesoscopic perspective.The results indicated that the stressestrain curve exhibits different trends and degrees of sudden changes when subjected to transient changes in principal stress,accompanied by sudden changes in strain rate.Stress rotation induces spatially directional deformation,resulting in fractures of different degrees and orientations,and increasing the degree of deformation anisotropy.The correlation between the degree of induced fracture and the unloading magnitude of minimum principal stress,as well as its initial level is significant and positive.The process of mechanical response during transient unloading exhibits clear nonlinearity and directivity.After transient unloading,both the minimum principal stress and minimum principal strain rate decrease sharply and then tend to stabilize.This occurs from the edge to the interior and from the direction of the minimum principal stress to the direction of the maximum principal stress on theε1-ε3 plane.Transient unloading will induce a tensile stress wave.The ability to induce fractures due to changes in principal stress magnitude,orientation and rotation paths gradually increases.The analysis indicates a positive correlation between the abrupt change amplitude of strain rate and the maximum unloading magnitude,which is determined by the magnitude and rotation of principal stress.A high tensile strain rate is more likely to induce fractures under low minimum principal stress. 展开更多
关键词 Deep hard rock tunnel Three-dimensional(3D)discrete element model(DEM) magnitude and orientation of principal stress Transient unloading Fracture mechanism
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Moment magnitudes of two large Turkish earthquakes on February 6,2023 from long-period coda 被引量:7
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作者 Xinyu Jiang Xiaodong Song +1 位作者 Tian Li Kaixin Wu 《Earthquake Science》 2023年第2期169-174,共6页
Two large earthquakes(an earthquake doublet)occurred in south-central Turkey on February 6,2023,causing massive damages and casualties.The magnitudes and the relative sizes of the two mainshocks are essential informat... Two large earthquakes(an earthquake doublet)occurred in south-central Turkey on February 6,2023,causing massive damages and casualties.The magnitudes and the relative sizes of the two mainshocks are essential information for scientific research and public awareness.There are obvious discrepancies among the results that have been reported so far,which may be revised and updated later.Here we applied a novel and reliable long-period coda moment magnitude method to the two large earthquakes.The moment magnitudes(with one standard error)are 7.95±0.013 and 7.86±0.012,respectively,which are larger than all the previous reports.The first mainshock,which matches the largest recorded earthquakes in the Turkish history,is slightly larger than the second one by 0.11±0.035 in magnitude or by 0.04 to 0.18 at 95%confidence level. 展开更多
关键词 2023 Turkish earthquakes coda wave moment magnitude long-period
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Earthquake Magnitude Probability and Gamma Distribution
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作者 Min-Hao Wu Jui-Pin Wang Chia-Ying Sung 《International Journal of Geosciences》 2023年第7期585-602,共18页
The earthquake magnitude probability distribution is one of the underlying input data for certain earthquake analyses, such as probabilistic seismic hazard analysis. Nowadays, the method proposed by McGuire and Arabas... The earthquake magnitude probability distribution is one of the underlying input data for certain earthquake analyses, such as probabilistic seismic hazard analysis. Nowadays, the method proposed by McGuire and Arabasz (1990) is commonly used for obtaining the (simulated) earthquake magnitude probability distributions. However, based on the observed earthquake data in 5 regions (Taiwan, Japan, California, Turkey, and Greece), the model did not fit the observation well. Instead, all of the case studies show that using the newly proposed gamma distribution can improve the simulation significantly compared to the conventional method. 展开更多
关键词 Earthquake magnitude Probability Distribution Gamma Distribution
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Magnitude and distance distribution of strong aftershocks in Sichuan-Yunnan region 被引量:4
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作者 吕晓健 高孟潭 +1 位作者 高战武 米素婷 《地震学报》 CSCD 北大核心 2008年第4期397-404,共8页
研究了川滇地区1966年以来12次主震震级Ms≥6.5的地震序列中,主震与强余震(本文定义为所有Ms≥5的余震)震级差分布特征和强余震与主震距离的分布特征。结果表明,强余震与主震震级差服从截断的指数分布,据此推导出了强余震与主震震... 研究了川滇地区1966年以来12次主震震级Ms≥6.5的地震序列中,主震与强余震(本文定义为所有Ms≥5的余震)震级差分布特征和强余震与主震距离的分布特征。结果表明,强余震与主震震级差服从截断的指数分布,据此推导出了强余震与主震震级差的概率密度函数;强余震距离分布的优势范围是距主震10-39km,且强余震与主震震中的距离服从正态分布。 展开更多
关键词 川滇地区 强余震 概率分布 空间分布
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Earthquake probabilities and magnitude distribution (M ≥ 6.7) along the Haiyuan fault, northwestern China 被引量:8
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作者 冉洪流 《地震学报》 CSCD 北大核心 2004年第6期609-615,共7页
In recent years, some researchers have studied the paleoearthquake along the Haiyuan fault and revealed a lot of paleoearthquake events. All available information allows more reliable analysis of earthquake recurrence... In recent years, some researchers have studied the paleoearthquake along the Haiyuan fault and revealed a lot of paleoearthquake events. All available information allows more reliable analysis of earthquake recurrence interval and earthquake rupture patterns along the Haiyuan fault. Based on this paleoseismological information, the recur- rence probability and magnitude distribution for M≥6.7 earthquakes in future 100 years along the Haiyuan fault can be obtained through weighted computation by using Poisson and Brownian passage time models and consid- ering different rupture patterns. The result shows that the recurrence probability of MS≥6.7 earthquakes is about 0.035 in future 100 years along the Haiyuan fault. 展开更多
关键词 活动断裂 古地震 强震复发 震级分布
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Definition,epidemiology and magnitude of alcoholic hepatitis 被引量:11
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作者 Sarpreet Basra Bhupinderjit S Anand 《World Journal of Hepatology》 CAS 2011年第5期108-113,共6页
Alcoholic liver disease(ALD) is a major cause of alcoholrelated morbidity and mortality.Its presentation ranges from fatty liver to alcoholic hepatitis(AH),cirrhosis,and hepatocellular carcinoma.Although the amount an... Alcoholic liver disease(ALD) is a major cause of alcoholrelated morbidity and mortality.Its presentation ranges from fatty liver to alcoholic hepatitis(AH),cirrhosis,and hepatocellular carcinoma.Although the amount and pattern of alcohol consumption is a well recognized predisposing factor for the development of serious liver pathology,environmental factors and the host's genetic makeup may also play significant roles that have not yet been entirely explored.Continuing alcohol consumption is a major factor that influences the survival of patients with AH.The presence of cirrhosis at presentation or its development on follow up is a major factor determining the outcome in the long run.This chapter deals with the epidemiology and magnitude of ALD in general and AH in particular. 展开更多
关键词 ALCOHOLIC HEPATITIS Acute ALCOHOLIC HEPATITIS ALCOHOLIC liver DISEASE EPIDEMIOLOGY magnitude DISEASE BURDEN
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Last Deglacial Soft-Sediment Deformation at Shawan on the Eastern Tibetan Plateau and Implications for Deformation Processes and Seismic Magnitudes 被引量:9
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作者 ZHONG Ning JIANG Hanchao +4 位作者 LI Haibing XU Hongyan SHI Wei ZHANG Siqi WEI Xiaotong 《Acta Geologica Sinica(English Edition)》 CAS CSCD 2019年第2期430-450,共21页
The eastern margin of the Tibetan Plateau is characterized by frequent earthquakes; however, research of paleo-earthquakes in the area has been limited^ owing to the alpine topography and strong erosion. Detailed inve... The eastern margin of the Tibetan Plateau is characterized by frequent earthquakes; however, research of paleo-earthquakes in the area has been limited^ owing to the alpine topography and strong erosion. Detailed investigations of soft-sediment deformation(SSD) structures are valuable for understanding the trigger mechanisms, deformation processes, and the magnitudes of earthquakes that generate such structures, and help us to understand tectonic activity in the region. To assess tectonic activity during the late Quaternary, we studied a well-exposed sequence of Shawan lacustrine sediments, 7.0 m thick, near Lake Diexi in the upper reaches of the Minjiang River. Deformation is recorded by both ductile structures(load casts, flame structures,pseudonodules, ball-and-pillow structures, and liquefied convolute structures) and brittle structures(liquefied breccia, and microfaults). Taking into account the geodynamic setting of the area and its known tectonic activity, these SSD structures can be interpreted in terms of seismic shocks. The types and forms of the structures,the maximum liquefaction distances, and the thicknesses of the horizons with SSD structures in the Shawan section indicate that they record six strong earthquakes of magnitude 6-7 and one with magnitude >7. A recent study showed that the Songpinggou fault is the seismogenic structure of the 1933 Ms7.5 Diexi earthquake. The Shawan section is located close to the junction of the Songpinggou and Minjiang faults, and records seven earthquakes with magnitudes of ?7. We infer,therefore, that the SSD structures in the Shawan section document deglacial activity along the Songpinggou fault. 展开更多
关键词 lacustrine sequence soft-sediment deformation(SSD) deformation process earthquake magnitude Shawan eastern Tibetan Plateau
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Investigation of Induced Unbalance Magnitude on Dynamic Characteristics of High-speed Turbocharger with Floating Ring Bearings 被引量:9
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作者 Guang-Fu Bin Yuan Huang +2 位作者 Shuai-Ping Guo Xue-Jun Li Gang Wang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2018年第5期99-109,共11页
Due to operational wear and uneven carbon absorption in compressor and turbine wheels, the unbalance(me) vibration is induced and could lead to sub?synchronous vibration accidents for high?speed turbocharger(TC). Ther... Due to operational wear and uneven carbon absorption in compressor and turbine wheels, the unbalance(me) vibration is induced and could lead to sub?synchronous vibration accidents for high?speed turbocharger(TC). There are very few research works that focus on the magnitude e ects on such induced unbalance vibration. In this paper, a finite element model(FEM) is developed to characterize a realistic automotive TC rotor with floating ring bearings(FRBs). The nonlinear dynamic responses of the TC rotor system with di erent levels of induced unbalance magni?tude in compressor and turbine wheels are calculated. From the results of waterfall and response spectral intensity plots, the bifurcation and instability phenomena depend on unbalance magnitude during the startup of TC. The sub?synchronous component 0.12× caused rotor unstable is the dominant frequency for small induced unbalance. The nonlinear e ects of induced unbalance in the turbine wheel is obvious stronger than the compressor wheel. As the unbalance magnitude increases from 0.05 gbration 1·mm to 0.2 g·mm, the vibration component changes from mainly 0.12× to synchronous vi×. When unbalance increases continuously, the rotor vibration response amplitude is rapidly growing and the 1× caused by the large unbalance excitation becomes the dominant frequency. A suitable un?balance magnitude of turbine wheel and compressor wheel for the high?speed TC rotor with FRBs is proposed: the value of induced un?balance magnitude should be kept around 0.2 g·mm. 展开更多
关键词 High?speed TC with FRBs Induced unbalance magnitude Nonlinear dynamic response Sub?synchronous vibration Stability
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Determination of the local magnitudes of small earthquakes using a dense seismic array in the Changning-Zhaotong Shale Gas Field,Southern Sichuan Basin 被引量:11
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作者 Wen Yang GuoYi Chen +3 位作者 LingYuan Meng Yang Zang HaiJiang Zhang JunLun Li 《Earth and Planetary Physics》 CSCD 2021年第6期532-546,共15页
With the development of unconventional shale gas in the southern Sichuan Basin,seismicity in the region has increased significantly in recent years.Though the existing sparse regional seismic stations can capture most... With the development of unconventional shale gas in the southern Sichuan Basin,seismicity in the region has increased significantly in recent years.Though the existing sparse regional seismic stations can capture most earthquakes with ML≥2.5,a great number of smaller earthquakes are often omitted due to limited detection capacity.With the advent of portable seismic nodes,many dense arrays for monitoring seismicity in the unconventional oil and gas fields have been deployed,and the magnitudes of those earthquakes are key to understand the local fault reactivation and seismic potentials.However,the current national standard for determining the local magnitudes was not specifically designed for monitoring stations in close proximity,utilizing a calibration function with a minimal resolution of 5 km in the epicentral distance.That is,the current national standard tends to overestimate the local magnitudes for stations within short epicentral distances,and can result in discrepancies for dense arrays.In this study,we propose a new local magnitude formula which corrects the overestimated magnitudes for shorter distances,yielding accurate event magnitudes for small earthquakes in the Changning-Zhaotong shale gas field in the southern Sichuan Basin,monitored by dense seismic arrays in close proximity.The formula is used to determine the local magnitudes of 7,500 events monitored by a two-phased dense array with several hundred 5 Hz 3 C nodes deployed from the end of February 2019 to early May 2019 in the Changning-Zhaotong shale gas field.The magnitude of completeness(MC)using the dense array is-0.1,compared to MC 1.1 by the sparser Chinese Seismic Network(CSN).In addition,using a machine learning detection and picking procedure,we successfully identify and process some 14,000 earthquakes from the continuous waveforms,a ten-fold increase over the catalog recorded by CSN for the same period,and the MC is further reduced to-0.3 from-0.1 compared to the catalog obtained via manual processing using the same dense array.The proposed local magnitude formula can be adopted for calculating accurate local magnitudes of future earthquakes using dense arrays in the shale gas fields of the Sichuan Basin.This will help to better characterize the local seismic risks and potentials. 展开更多
关键词 shale gas development local magnitude MICROEARTHQUAKES dense seismic array machine learning
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Magnitude-frequency relationship of debris flows in the Jiangjia Gully, China 被引量:4
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作者 GAO Yan-chao CHEN Ning-sheng +1 位作者 HU Gui-sheng DENG Ming-feng 《Journal of Mountain Science》 SCIE CSCD 2019年第6期1289-1299,共11页
The magnitude-frequency(MF) relationship of debris flows is the basis for engineering designs and risk quantification. However, because of the lack of debris flow monitoring data, research progress in this area has be... The magnitude-frequency(MF) relationship of debris flows is the basis for engineering designs and risk quantification. However, because of the lack of debris flow monitoring data, research progress in this area has been relatively slow. The MF relationship of debris flows in Jiangjia Gully, Yunnan Province was evaluated based on a regression analysis of 178 debris flow events that occurred from 1987-2004. The magnitude-cumulative frequency(MCF) relationship of the debris flows in the Jiangjia Gully is consistent with the linear logarithmic transformation function. Moreover, observed data for debris flows in Hunshui Gully of Yunnan Province and Huoshao Gully, Liuwan Gully, and Niwan Gully of Gansu Province were used to verify the function. The results showed that the MCF relationship of highfrequency debris flows is consistent with the power law equation, although the regression coefficients in the equation are considerably different. Further analysis showed a strong correlation between the differences in the constants and the drainage area and daily maximum precipitation. 展开更多
关键词 DEBRIS flow magnitude CUMULATIVE FREQUENCY Drainage area Precipitation Jiangjia GULLY
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Earthquake probabilities and magnitude distribution (M≥6.7) along the Haiyuan fault, northwestern China 被引量:5
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作者 RAN Hong-liu(冉洪流) 《Acta Seismologica Sinica(English Edition)》 CSCD 2004年第6期671-677,共8页
In recent years, some researchers have studied the paleoearthquake along the Haiyuan fault and revealed a lot of paleoearthquake events. All available information allows more reliable analysis of earthquake recurrenc... In recent years, some researchers have studied the paleoearthquake along the Haiyuan fault and revealed a lot of paleoearthquake events. All available information allows more reliable analysis of earthquake recurrence interval and earthquake rupture patterns along the Haiyuan fault. Based on this paleoseismological information, the recur- rence probability and magnitude distribution for M≥6.7 earthquakes in future 100 years along the Haiyuan fault can be obtained through weighted computation by using Poisson and Brownian passage time models and consid- ering different rupture patterns. The result shows that the recurrence probability of MS≥6.7 earthquakes is about 0.035 in future 100 years along the Haiyuan fault. 展开更多
关键词 active fault PALEOEARTHQUAKE strong earthquake recurrence magnitude distribution
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Relationships between moment magnitude and fault parameters:theoretical and semi-empirical relationships 被引量:4
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作者 王海云 陶夏新 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2003年第2期201-211,共11页
Fault parameters are important in earthquake hazard analysis.In this paper,theoretical relationships between moment magnitude and fault parameters including subsurface rupture length,downdip rupture width,rupture area... Fault parameters are important in earthquake hazard analysis.In this paper,theoretical relationships between moment magnitude and fault parameters including subsurface rupture length,downdip rupture width,rupture area,and average slip over the fault surface are deduced based on seismological theory.These theoretical relationships are further simplified by applying similarity conditions and an unique form is established.Then,combining the simplified theoretical relationships between moment magnitude and fault parameters with seismic source data selected in this study,a practical semi-empirical relationship is established.The seismic source data selected is also to used to derive empirical relationships between moment magnitude and fault parameters by the ordinary least square regression method.Comparisons between semi-empirical relationships and empirical relationships show that the former depict distribution trends of data better than the latter.It is also observed that downdip rupture widths of strike slip faults are saturated when moment magnitude is more than 7.0,but downdip rupture widths of dip slip faults are not saturated in the molnent magnitude rangcs of this study. 展开更多
关键词 earthquake hazard analysis fault paramcters seismic moment moment magnitude semi-empirical relationships.
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Bh序列和Magnitude错误标准下m元纠错码构造
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作者 张鹏程 符方伟 《计算机工程与应用》 CSCD 北大核心 2006年第14期26-29,共4页
文献对Bh序列和Magnitude错误标准下m元t-sEC/AUED码的关系进行了讨论,在此基础上提出了一种Magnitude错误标准下m元可纠t个对称错的纠错码的构造方法,并相应地给出了可纠t个对称错的纠错码码字个数的下界。
关键词 Bh序列 magnitude错误标准 t-sEC/AUED码 广义二项式系数
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Magnitude错误标准下m元非对称错纠错码的构造(英文)
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作者 张鹏程 符方伟 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第4期79-83,共5页
基于多项式的剩余类环理论,给出了magnitude错误标准下m元可纠小于等于t个非对称错纠错码的构造方法.由此构造方法给出了这类码码字个数的下界.
关键词 magnitude错误标准 非对称错 多项式剩余类环
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Expected magnitude and distance of potential source area and the estimating method 被引量:3
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作者 高孟潭 《Acta Seismologica Sinica(English Edition)》 CSCD 1994年第3期441-446,共6页
Magnitude and distance of major potential source are needed in order to determine duration time of artificial ground motion and to determine the type of response spectrum (near field or far field) when using the seism... Magnitude and distance of major potential source are needed in order to determine duration time of artificial ground motion and to determine the type of response spectrum (near field or far field) when using the seismic intensity zonation map. The magnitude probabilistic distribution function of seismic belt and the magnitude and space joint distribution function for given intensity of the site in a potential Source are provided. Then the basicformula of calculating expected magnitude and expected distance are developed. Several examples for calculating expected magnitude and expected distance in northern China are discussed. These results show that expected magnitude and expected distance are related not only to geometry of potential source and magnitude but also to the intensity of the site with certain exceeding probability. 展开更多
关键词 seismic potential source area seismic belt magnitude distribution function expected magnitude expected distance
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Quasi-real time inversion method of three-dimensional epicenter coordinate, trigger time, and magnitude based on CORS 被引量:1
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作者 Xiao Dongsheng Chang Ming +2 位作者 Su Yong Hu Qijun Yu Bing 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2016年第3期425-433,共9页
This study explores the quasi-real time inversion principle and precision estimation of three-dimensional coordinates of the epicenter, trigger time and magnitude of earthquakes with the aim to improve traditional met... This study explores the quasi-real time inversion principle and precision estimation of three-dimensional coordinates of the epicenter, trigger time and magnitude of earthquakes with the aim to improve traditional methods, which are flawed due to missing information or distortion in the seismograph records. The epicenter, trigger time and magnitude from the Lushan earthquake are inverted and analyzed based on high-frequency GNSS data. The inversion results achieved a high precision, which are consistent with the data published by the China Earthquake Administration. Moreover, it has been proven that the inversion method has good theoretical value and excellent application prospects. 展开更多
关键词 continuous operation reference station (CORS) trigger time three dimensional coordinate magnitude inversion
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Moment Magnitude and Its Calculation 被引量:1
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作者 Chen Yuntai Liu Ruifeng 《Earthquake Research in China》 CSCD 2018年第4期447-455,共9页
In this paper,we give a brief introduction to the proposal and development history of the earthquake magnitude concept. Moment magnitude MWis the best physical quantity for measuring earthquakes. Compared with other m... In this paper,we give a brief introduction to the proposal and development history of the earthquake magnitude concept. Moment magnitude MWis the best physical quantity for measuring earthquakes. Compared with other magnitude scales used traditionally,moment magnitude is not saturated for all earthquakes,regardless of big and small earthquakes,deep and shallow earthquakes,far field and near field seismic data,geodetic and geological data,moment magnitude can be measured,and can be connected with wellknown magnitude scales such as surface wave magnitude MS. Moment magnitude is a uniform magnitude scale,which is suitable for statistics with wide magnitude range.Moment magnitude is the preferred magnitude selected by the International Seismological community,and it is preferred by the departments responsible for publishing seismic information to the public. Moment magnitude is a uniform magnitude scale,which is suitable for statistics with wide magnitude range. Moment magnitude is a preferred magnitude for international seismology,it is preferred by the agency responsible for providing information about earthquakes to the public. We provide all formulas used in the calculation of moment magnitude,and the calculation steps in detail. We also analyzed some problems and rules to solve these problems by using different formulas and numerical value calculation steps. 展开更多
关键词 Earthquake magnitude Local magnitude ML Surface WAVE magnitude MS Body WAVE magnitude MB magnitude SATURATION MOMENT magnitude MW Energy magnitude Me
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Calibration of local magnitude scale for Hindukush continental subduction zone 被引量:1
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作者 Muhammad N.Mushtaq Muhammd Tahir +3 位作者 Muhammd T.Iqbal Muhammd A.Shah Saleem Iqbal Talat Iqbal 《Earthquake Science》 2021年第2期114-122,共9页
Hindukush is an active subduction zone where at least one earthquake occurs on daily basis.For seismic hazard studies,it is important to develop a local magnitude scale using the data of local seismic network.We have ... Hindukush is an active subduction zone where at least one earthquake occurs on daily basis.For seismic hazard studies,it is important to develop a local magnitude scale using the data of local seismic network.We have computed local magnitude scale for Hindukush earthquakes using data from local network belonging to Center for Earthquake Studies(CES)for a period of three years,i.e.2015–2017.A total of 26,365 seismic records pertaining to 2,683 earthquakes with magnitude 2.0 and greater,was used with hypocentral distance less than 600 km.Magnitude scale developed by using this data comes to be M_(L)=logA+0.929logr+0.00298r-1.84.The magnitude determined through formulated relation was compared with that of standard relation for Southern California and relation developed by the same authors for local network for Northern Punjab.It was observed that Hindukush region has high attenuation as compared to that of Southern California and Northern Punjab which implies that Hindukush is tectonically more disturbed as compared to the said regions,hence,seismically more active as well.We have calculated station correction factors for our network.Station correction factors do not show any pattern which probably owes to the geological and tectonic complexity of this structure.Standard deviation and variance of magnitude residuals for CES network determined using Hutton and Boore scale and scale developed in this study were compared,it showed that a variance reduction of 44.1%was achieved.Average of magnitude residuals for different distance ranges was almost zero which showed that our magnitude scale was stable for all distances up to 600 km.Newly developed magnitude scale will help in homogenization of earthquake catalog.It has been observed that b-value of CES catalog decreases when magnitude is calculated by using newly developed magnitude scale. 展开更多
关键词 local magnitude scale ATTENUATION station correction factor hazard studies for Hindu Kush region
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Stochastic Approximate Solutions of Stochastic Differential Equations with Random Jump Magnitudes and Non-Lipschitz Coefficients 被引量:1
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作者 毛伟 胡良剑 《Journal of Donghua University(English Edition)》 EI CAS 2015年第4期642-647,共6页
A class of stochastic differential equations with random jump magnitudes( SDEwRJMs) is investigated. Under nonLipschitz conditions,the convergence of semi-implicit Euler method for SDEwRJMs is studied. The main purpos... A class of stochastic differential equations with random jump magnitudes( SDEwRJMs) is investigated. Under nonLipschitz conditions,the convergence of semi-implicit Euler method for SDEwRJMs is studied. The main purpose is to prove that the semi-implicit Euler solutions converge to the true solutions in the mean-square sense. An example is given for illustration. 展开更多
关键词 stochastic differential equations(SDEs) random jump magnitudes numerical analysis non-Lipschitz coefficients
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Fast magnitude determination using a single seismological station record implementing machine learning techniques 被引量:4
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作者 Luis H.Ochoa Luis F.Nino Carlos A.Vargas 《Geodesy and Geodynamics》 2018年第1期34-41,共8页
In this work a Support Vector Machine Regression(SVMR) algorithm is used to calculate local magnitude(MI) using only five seconds of signal after the P wave onset of one three component seismic station. This algor... In this work a Support Vector Machine Regression(SVMR) algorithm is used to calculate local magnitude(MI) using only five seconds of signal after the P wave onset of one three component seismic station. This algorithm was trained with 863 records of historical earthquakes, where the input regression parameters were an exponential function of the waveform envelope estimated by least squares and the maximum value of the observed waveform for each component in a single station. Ten-fold cross validation was applied for a normalized polynomial kernel obtaining the mean absolute error for different exponents and complexity parameters. The local magnitude(MI) could be estimated with 0.19 units of mean absolute error. The proposed algorithm is easy to implement in hardware and may be used directly after the field seismological sensor to generate fast decisions at seismological control centers, increasing the possibility of having an effective reaction. 展开更多
关键词 Earthquake early warning Support Vector Machine Regression Earthquake Rapid response Local magnitude Seismic event Seismology Bogota Colombia
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