摘要
首先研究了地震空间分布在考虑震源为点源、线源、面源、体源破裂时的地震空间分维计算方法。在此基础上推广了震源只能为点源、线源、面源、体源破裂的情形 ,而将震源的破裂假设为介于点源、线源、面源、体源破裂之间的分形破裂 (这样更接近实际地震破裂情况 ) ,并且研究了地震震源破裂在分形破裂前提下的地震空间分布的分维计算方法 ,推导了有关的计算公式 ,较详细地研究了地震破裂分维同 f [α(q) ]的关系。找到了 Dq- q中的 q(阶数 )在非点集地震空间分布上的物理含义 ,从理论上导出了非点集高阶分维的计算公式。
Generally speaking, we assume a seismic source would be a poi nt source (point set) in study on space distribution of earthquakes. An earthquake source rupture region has a certain scale. It is a linear focus in onedimension spac e . It is an area focus and a body focus in twodimensional and threedimensiona l space. In this paper, we researched the account method of seismic space fractal dimension in consideration of the point, linear, area and body foci. We develope d these concepts and idea that the earthquake source is fractal rupture. We calc ulated and studied the fractal dimensional of earthquake space distribution base d on that seismic focal considered fractal rupture. We researched relationship b etween the fractal dimension of earthquake fracture andf［α(q)］. And the physic al meaning regarding q of Dqq in nonpointset of earthquake space distribution was also discussed
出处
《地震》
CSCD
北大核心
2000年第z1期70-75,共6页
Earthquake
关键词
地震时空分布
非点集
分形
Earthquake
Space and time distribution
Nonpoi ntset fractal
