闽台地区地震活动的广义时空分维特征
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摘要
本文根据广义分维方法，分析计算了１９７２年以来福建及其周边地区Ｍ_Ｌ≥５． ０级地震、台湾地区 Ｍｓ≥７． ０级地震前后小震活动广义时间分维（Ｄ_ｔ）和广义空间分维（Ｄ_ｓ）的变化特征。结果表明，闽台两地中强震前普遍存在着 Ｄ_ｔ、Ｄ_ｓ的低值异常，福建地区中强震前２ａ左右完成降维过程，而台湾地区则在强震前１ａ左右结束异常。通过对降维特征的分析提出了：中强震前Ｄ_ｔ、Ｄ_ｓ曲线至少有一条低于震前数年的一倍均方误差线，而另一条曲线则同步低于均值线作为异常判断标准。实际应用说明了广义时空分维能较好地反映闽台两地的中短期地震活动趋势，对两地区地震活动数学模型的建立进行了有益的探索。
This paper,uses the generalized fractal dimension method to analyze the changes of gen eralized temporal (D_t) and spatial (D_s) fractal dimension of small seismic events around the epicenter before and after earthquakes of larger than 5. 0 in ML value in Fujian and of larger than 7. 0 in Ms value in Taiwan. The results show that low value anomaly of D_t and D_s is widely detected before mid-strong earthquakes. The course of the low value anomaly was fin ished two years before mid-storng earthquakes in Fujian area and one a before mid-storng earthquakes in Taiwan area. The analysis of the lowering charcteristics of the generallied fractal dimension show at least that one of the both D_t and D_s curves is lower than several year's standard square error line before earthquake, meanwhile, the other synchronously lower than average value line. It can be used as a standard of anomaly identification. The results indicate that the generalized temporal and spatial fractal dimension method can well re flect Fujian and Taiwan's seismic tendency in intermediate and short terms.
This paper,uses the generalized fractal dimension method to analyze the changes of gen eralized temporal (D_t) and spatial (D_s) fractal dimension of small seismic events around the epicenter before and after earthquakes of larger than 5. 0 in ML value in Fujian and of larger than 7. 0 in Ms value in Taiwan. The results show that low value anomaly of D_t and D_s is widely detected before mid-strong earthquakes. The course of the low value anomaly was fin ished two years before mid-storng earthquakes in Fujian area and one a before mid-storng earthquakes in Taiwan area. The analysis of the lowering charcteristics of the generallied fractal dimension show at least that one of the both D_t and D_s curves is lower than several year's standard square error line before earthquake, meanwhile, the other synchronously lower than average value line. It can be used as a standard of anomaly identification. The results indicate that the generalized temporal and spatial fractal dimension method can well re flect Fujian and Taiwan's seismic tendency in intermediate and short terms.
引文
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8李荣峰,叶振民.闽粤沿海地震形势的初步分析.台湾海峡,1996,15(4):331～336
9臧绍先.台湾地区板块的相互作用及应力状态.中国地震,1989,15(2):71～78
2冯德益.大地震活动的模糊时间分维特征.中国地震,1991,7(4):1～3
3李海华.门源6.4级地震前小震活动分维结构.西北地震学报,1987,9(4):15～20
4安镇文,王林瑛,朱传镇.大震前后地震活动的时空分维特征.地震学报,1989,11(3):251～258
5高华根.台湾大地震活动的模糊时间分维特征.台湾海峡,1994,13(2):198～203
6高安秀树(沈步明译).分数维.北京:地震出版社,1989.4～178
7孙建中,孙加林.大华北10次中前震前后广义时空分维的变化及其在中短期预报中的应用.中国地震,1994,10(增刊):148～156
8李荣峰,叶振民.闽粤沿海地震形势的初步分析.台湾海峡,1996,15(4):331～336
9臧绍先.台湾地区板块的相互作用及应力状态.中国地震,1989,15(2):71～78
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