小震空间分在奇异性谱f（α）研究
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摘要
本文用数盒子法计算了１９７９年３月２日固镇５．０级、１９７４年４月２２日溧阳５．５级和１９７９年７月９日溧阳６．０级地震前后小震空间分布分形集合的奇异性谱ｆ（α），详细讨论了ｆ（α）谱所揭示的主震前后各阶段小震空间分布从稀疏到密集的各种密度分布不均匀性的定量特征。经分析可以看出，奇异性谱ｆ（α）较多重分形谱Ｄｑ的概念更直观、清晰，它包含了空间分布的全部信息，且计算量明显减少。
The f(α) singularity spectra of spatial distribution of small earthquakes around the Guzhen earthquake (Mar. 2, 1979, Ms=5. 0) and two Liyang earthquakes (Apr, 22, 1974,Ms= 5. 5 and Jul. 9, 1979, Ms=6. 0) have been calculated by the box-counting method.The results show that the f(α) spectrum can reveal quantitatively the global pattern of spatial distribution of seismic activities for various density profiles from dense to rare.Hence, the concept of singularity spectrum is more directly and straightforward perceived through the senses than the Dq multifractal dimension spectrum. It contains clearly all information about the variation of the spatial distribution of small shocks around the main earthquakes. However the algorithm calculating the f(α) spectrum given in this paper'consumes less computational resources and time than the usual determination via Dq calculation.
The f(α) singularity spectra of spatial distribution of small earthquakes around the Guzhen earthquake (Mar. 2, 1979, Ms=5. 0) and two Liyang earthquakes (Apr, 22, 1974,Ms= 5. 5 and Jul. 9, 1979, Ms=6. 0) have been calculated by the box-counting method.The results show that the f(α) spectrum can reveal quantitatively the global pattern of spatial distribution of seismic activities for various density profiles from dense to rare.Hence, the concept of singularity spectrum is more directly and straightforward perceived through the senses than the Dq multifractal dimension spectrum. It contains clearly all information about the variation of the spatial distribution of small shocks around the main earthquakes. However the algorithm calculating the f(α) spectrum given in this paper'consumes less computational resources and time than the usual determination via Dq calculation.
引文
贺楚儒，1974年4月22日江苏省保阳5．5级地震，中国震例，地震出版社，1988。贺楚儒，1979年7月9日江苏省溧阳6．0级地震，中国震例，地震出版社，1990。洪时中等，多重分形与地震，四川地震，No．2，1991。宋俊高，震群用于地震预报的实用程式研究，地震预报方法实用化研究文集－地震学专辑，学术书刊出版社，1989。汪秉宏，地震时间序列的非线性分析，非线性科学在地震预报中的应用．地震出版社，1992。王炜，1979年3月2日安徽省固镇5．0级地震，中国震例，地震出版社，1990。赵凯华，非线性物理导论，北京大学非线性科学中心，1992。朱令人，地震多重分形标度指数谱f（α）的研究，西北地震学报，1992，No．2。A．Chhabra，R．V．Jenson，DirectDeterminationofthef（α）SingularitySpectrum，Phy．Rev．let，62（1989）1327—1330M．B．Gelllkman，MultifractalPatternsofSeismicity，EarthandPlanetaryScienceLetters，1990．
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