地震活动的随机场特征  

Random Field Features of Seismic Activity

作　　者：马禾青[1] 杨明芝[1] MA Heqing, YANG Mingzhi(Earthquake Agency of Ningxia Hui Autonomous Region, Yinchuan 750001, Ningxia, Chin)

机构地区：[1]宁夏回族自治区地震局,宁夏银川750001

出　　处：《地震工程学报》2018年第3期542-548,共7页China Earthquake Engineering Journal

基　　金：宁夏地震局2015年科研专项:地震活动场理论及异常分析方法

摘　　要：地震活动是一种随机自然现象,将其基本要素变量看作是空间和时间的函数,它们具有随机场的基本特征,由此得到地震活动的随机场描述。重点讨论在一定条件下地震活动能量场和频次场的统计特征及地震活动场的平稳性问题,说明应用随机场方法研究地震活动的合理性。Seismic activity is a random natural phenomenon.When variables of basic elements of seismic activity are taken as temporal and spatial functions they are found to have basic random field features.This paper discusses the statistical features of energy and frequency fields of seismic activity under certain conditions,in addition to stationary problems found within the seismic activity field.Results show that it is rational to use the random field method to study seismic activity.Through a discussion of the energy distribution of seismic activity and statistical characteristics of the time distribution of earthquakes,the following conclusions are drawn：（1）Seismic activity has random field distribution characteristics and can be seen as a type of random field;therefore,it is possible to conduct quantitative mathematical studies of seismic activity using the random field method.（2）The logarithmic values of energy released by seismic activity obey the distribution law of the exponential function expressed in the paper;however,the distribution laws differ in different regions due to influence of the b value.（3）Under the condition of stationary activity,the temporal distribution of small earthquake activity in a certain region obeys the poisson distribution.（4）In most cases,the statistical characteristics of seismic activity can be basically maintained,as long as the regional stress distribution has not subversively changed,and seismic activity in this region can be considered to be in a stable state.

关 键 词：地震活动 基本要素 随机场 统计特征 

分 类 号：P315[天文地球—地震学]