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利用空间相关长度检验了地震的临界点理论。临界点附近的系统与符合幂函数式破裂时间关系的相关长度发散有关。我们利用单链群分析法直接从地震目录中估算相关长度。因此,我们假设中等地震的分布反映了区域应力场的状态。分析的参数由优化程序确定,所得结果对照产生震中、震级和余震的实际分布的泊松过程进行了检测。并对加州1952年以来发生的所有 M≥6.5地震作了系统分析。事实上我们在多数情况下观测到了增长的相关长度。随机数据中可以发现这一特征的零假设以99%的置信水平被否定。我们进而发现主震震级 M 与临界区 R(主震前相关长度〈ξ_(max)〉)之间的尺度关系 log R~0.7M(log〈ξ_(max)〉)~0.5M)与理论值有很好的一致性。
The theory of critical point of earthquake was tested by using the spatial correlation length. The system near the critical point is related to the divergence of the correlation length that is consistent with the power function rupture time. We used single-stranded population analysis to estimate the correlation length directly from the seismic catalog. Therefore, we assume that the distribution of moderate earthquakes reflects the state of regional stress field. The parameters analyzed were determined by the optimization program and the results were tested against the Poisson process that produced the actual distribution of epicenters, magnitude and aftershocks. A systematic analysis of all M ≥ 6.5 earthquakes that occurred in California since 1952 was made. In fact, in most cases we have observed the relevant length of growth. The null hypothesis that this feature can be found in the random data is rejected with a 99% confidence level. We then find that the relationship between the magnitude M of the mainshock and the critical region R (the correlation length before the main shock <ξ max) is log R ~ 0.7M (log <ξ max (max)>) ~ 0.5M) There is good consistency.