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用椭圆衰减关系模型计算任意场点烈度及地震动参数的数值方法
引用本文:石建梁,闫庆民,葛秋莹.用椭圆衰减关系模型计算任意场点烈度及地震动参数的数值方法[J].内陆地震,2011,25(1):21-28.
作者姓名:石建梁  闫庆民  葛秋莹
作者单位:1. 陕西省地震局,陕西西安,710068
2. 西安中勘工程有限公司,陕西西安,710016
摘    要:用椭圆衰减关系计算地震动或地震烈度,比较经典的做法是建立极坐标系,采用极坐标方程的方法.给出了一种在直角坐标系中即可求解的用椭圆衰减关系计算地震动或地震烈度的数值计算方法.另外,地震动椭圆衰减关系,应满足一定的模型要求,才能更客观地反映实际的地震动衰减物理过程.本算法的附加功能能够鉴别非标准的椭圆衰减关系.

关 键 词:标准椭圆衰减关系  超越方程  数值解  二分法  椭圆震级极限轴长  直角坐标系

AN ALGORITHM FOR ARBITRARY ENGINEERING SITE EARTHQUAKE INTENSITY OR MOTION PARAMETER USING ELLIPSOID ATTENUATION MODEL
SHI Jian-liang,YAN Qing-min,GE Qiu-ying.AN ALGORITHM FOR ARBITRARY ENGINEERING SITE EARTHQUAKE INTENSITY OR MOTION PARAMETER USING ELLIPSOID ATTENUATION MODEL[J].Inland Earthquake,2011,25(1):21-28.
Authors:SHI Jian-liang  YAN Qing-min  GE Qiu-ying
Institution:1. Shaanxi Earthquake Administration, Xi'an 710068, China ; 2. Xi'an Central Reconnaissance Engineering Co. ,Ltd, Xi'an 710016, China)
Abstract:The classic method using ellipsoid attenuation model to reckon earthquake intensity or motion parameter is establishing a polar coordinate system, then solving a polar equation. The author introduced a numerical computing method in rectangular coordinates for reckoning earthquake intensity or motion parameter using ellipsoid attenuation model. In addition, any correct ellipsoid attenuation model must fit some model conditions in order to express actual earthquake attenuation process. This algorithm can also distinguish the nonstandard ellipsoid attenuation model.
Keywords:Standard ellipsoid attenuation model  Surpass equation  Numerical solution  2-distribute method  Limit axle length of ellipsoid earthquake magnitude  Rectangular coordinates
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