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讨论了地球岩石圈的自组织临界状态和地震发生的非局域性与多重标度分形统计特征。研究了地震多重分形性质的计算方法及其应用于地震预报的前景。采用推广ＧＰ算法从典型震区的地震数据计算地震多重分形分布的广义维数谱和奇异性谱以确立较敏感的强震前兆，对于不同算法进行了精度、数据量要求及适用范围的比较。研究结果表明：地震分布的多重分形维数谱和奇异性谱对于一些典型震区的强震发生具有中期预报价值。
The self-organized criticality of the Earth’s lithosphere and the non-local and multi-scale fractal statistical characteristics of earthquakes are discussed. The method of calculating the multifractal properties of earthquakes and the prospect of its application in earthquake prediction are studied. By using the generalized GP algorithm to calculate the generalized multidimensional seismic spectrum and singularity spectrum of seismic multifractal distributions from the seismic data of typical earthquake regions to establish the sensitive precursors of strong earthquakes, the accuracy, data requirements and applicable ranges of different algorithms are compared. The results show that the multifractal dimension spectrum and the singularity spectrum of the earthquake distribution have medium-term prediction value for the occurrence of strong earthquakes in some typical earthquake regions.