摘要
本文从A.Rennyi引进的α阶信息量出发,定义了α阶地震信息量公式。并推导出了一套关于6值的α阶地震序列信息量公式。以门源余震序列为例,计算了实际地震信息量和理论地震信息量(α=1,2时),并做了数值上的对比。得到了H_α(△M)=δ_α—D_αln△M(α=1,2)的结果。由此我们得到了地震序列的信息维和关联维。计算了门源余震序列的信息维和关联维的数值。并对青海省本世纪以来的所有M_s≥4.0的地震和葠窝水库震群序列以及海城地震的前震序列进行了H(△M)、D、b的时间扫描。发现大震前信息维是下降的。从而为人们研究地震序列的高阶分维提供了一种可行的方法。
This paper defined the formula of a step seismic information content according to the step information content introduced by A. Rennyi. A set of information content formulas of a step seismic sequence concerning b-value have been derived. Taking the Menyuan aftershock sequence as an example, we have calculated practical and theoretical seismic information contents (in α =1 and 2) and made comparision between them numerically. It is obtained that Hα(△M) = δα-Dα In △M (α=1,2). Therefrom we obtained the information dimension and relation dimension of the seismic sequence. The numerical values of information dimension and relation dimension of Menyuan aftershock series have been computed. The time scanning of H(△M), D and b value have been conducted for earthquakes Ms ≥ 4.0 in Qinghai province since this century, and for the earthquake swarm sequence in the Shenwo reservior, the Haicheng foreshock sequence in Liaoning province. It is found that the information dimension had been descending prior to great shocks. Thus, it provides one feasible method for us to research the high-step fractional dimension of earthquake sequences.
出处
《地震》
CSCD
北大核心
1991年第3期59-68,共10页
Earthquake
