Abstract
Using the analytic expression of seismicity parameters, the dependency and correlativity between the statistical parameters and seismic frequency or seismic intensity are discussed. The statistical parameters are divided into two kinds. One kind is the regional seismicity parameter, 17 parameters are analyzed in this paper. The other kind is the seismicity distribution parameter. They are the distribution parameters of time, space and magnitude. The existent base and rationality of distribution parameters depend on the application of distribution model. We analyze and draw an analogy between the natural probability, Poisson, Weibull distributions and multi-fractal analytic formula in time, space and magnitude. And some examples are given in this paper. The P value and H value of aftershock sequence attenuation, the U value and F value of earthquake swarm sequence and the entropy of information are discussed preliminarily. Another method about analyzing relationships among time-series curves are given. The resemblance relativity degree R Y 1 Y 2and the relativity degree G Y 1 Y 2 of relative change slope can be used as the determining values. At last, some preliminary ideas about sifting and using for seismicity parameters are advanced in this paper.
Similar content being viewed by others
References
Cheng W Z, Luo Z L. 1990. On judgement of earthquake types through Batang, Xiaojin and Jiangbei earthquakes. Earthquake, (6): 53–64 (in Chinese)
Cheng W Z. 1994. The complex temporal sequences structure of non-single exponential attenuation of the Batang M 6.7 earthquake swarm. Acta Seismologica Sinica, 7(Supp): 1–11
Cheng W Z. 1994. Research on Medium and Short Term Earthquake Prediction in Sichuan. Chengdu: Chengdu Map Press, 49–55 (in Chinese)
Dong W M, Shan H C, Bao A B. 1983. Use of maximum entropy principle in earthquake recurrence relationship. Earthquake Engineering and Engineering Vibration, 3(4): 1–13 (in Chinese)
Fu Z X. 1990. Division of seismic periods in North China seismic region based on Beta-statistics. Earthquake, 6(6): 35–40 (in Chinese)
Gu J C, Wei F S. 1985. The quantification of seismic activity: seismicity. Earthquake Research in China, 3(Supp): 12–22 (in Chinese)
Guo Z J, Qin B Y. 1980. On modulator model of the short-term and prequake forecast. Northwestern Seismological Journal, 2(11): 18–26 (in Chinese)
Guo Z J, Qin B Y. 1983. On the general modulation model for impending earthquake prediction. Northwestern Seismological Journal, 5(1): 91–98 (in Chinese)
Gutenberg B, Richter C. 1934, On Seismic Ware. Garlands Beitr Geophys, 43
Hirata T, Imoto M. 1991. Multi-fractal analysis of spatial distribution of micro-earthquakes on the Kanto region. Geophys J Int, 107: 155–162
Kagan Y T, Knopoff L. 1980. Spatial distribution of earthquake: the two-point correlation function. Geophys J R astr Soc, 62: 303–320
Kagna Y Y, Knopoff L. 1980. Spatial distribution of the occurrence of shallow earthquakes. J Geophys Roy astr Soc, 55: 67–86
Li D P, Lin B H. 1994. An expert system about the foreshock sequence and the precursory cluster and the non-precursory cluster. Earthquake Research in China, 10(Supp): 166–174 (in Chinese)
Li Q L, Yu L, Hao B L, et al. 1979. Spatial-temporal Scanning on Relation-ship Between Seismic Frequency and Seismic Magnitude. Beijing: Seismological Press, 2–23 (in Chinese)
Li Z X, Gao X. 1994. Study on the inhomogeneous degree of seismicity and its application to middle-tem earthquake prediction. Earthquake, (6): 11–18 (in Chinese)
Lin B H, Li D P. 1994. Study of fore-shocks and fore-shock sequence. Acta Seismological Sinica, 16(Supp): 24–38 (in Chinese)
Liu Z R, Kong Z L. 1986. Earthquake frequency attenuation and earthquake. Journal of Seismological Research, 9(1): 1–12 (in Chinese)
Liu Z R, Qian Z X, Wang W Q, et al. 1979. An indication of the fore-shock the attenuation to the earthquake frequency. Journal of Seismological Research, 2(4): 1–9 (in Chinese)
Lstu T. 1980. Seismic parameter esimate on the formula of seismic frequency-magnitude including the situation of maximum magnitude parameter C. Earthquake Research Abroad, (3): 23–31 (in Chinese)
Lu Y Z, Lü Y J, Zheng Y J. 1994. Seismic evolution index YH-value and its verification with cellular automation model. Earthquake (Supp): 12–17 (in Chinese)
Lu Y Z, Song J G, Dai W L. 1984. The U value of earthquake swarm: a criterion assessing the seismic condition of a region. Acta Seismologica Sinica, 6(Supp): 495–509 (in Chinese)
Luo L G. 1987. Scale of seismicity. Earthquake, (6): 40–45 (in Chinese)
Lü Y J, Lu Y Z. 1993. Characterization of time sequence by algorithmic complexity. Earthquake Research in China, 9(3): 229–234 (in Chinese)
Matthews, M V, Reasenberg P A. 1988. Statistical methods for investigating quiescence and other temporal seismicity patterns. Pure Appl Geophys, 126: 2–4
Mogi K. 1962. Study of elastic shocks caused by the fracture of heterogeneous materials and its relations to earthquake phenomena. Bull Earthq Res Inst, Tokyo Univ, 40: 125–174
Mogi K. 1963. Some discussions on aftershocks, foreshocks and earthquake swarms; the fracture of a semi-infinite caused by an inner stress origin and its relation to earthquake phenomena. 3. Bull Earth Res Inst, Tokyo Univ, 41: 615–658
Okuda S, Ouchi S, Tera S T. 1992. Deviation of magnitude frequency distribution of earthquakes from the Gutenberg-Richter law: detection of precursory anomalies prior to large earthquakes. Physe Earth Planet Inter, 73: 2
Kesenberg P A, Mattews M V. 1988. Precursory seismic quiescence: a preliminary assessment of the hypothesis. Pure Appl Geophys, 126: 2–4
Ustu T. 1961. A statistical study on the occurrence of aftershocks. Geophysical Magazine, 30: 521–605
Wang W. 1987. D-value abnormal variation of earthquake dangerous degree before five moderate earthquakes in East China. Earthquake, (1): 17–25 (in Chinese)
Wang W. 1989. Space scanning of ρ value of mode parameter of earthquake occurrence. Earthquake, (1): 40–45 (in Chinese)
Wang W, Pan J Y, Su B S. 1989. Spacious focus degree of earthquake C value and its application to earthquake prediction. In: Department of Scientific and Technological Monitoring of China Seismological Bureau eds. Practical Research on Earthquake Prediction (Special Issue of Seismology). Beijing: Academic Periodical Publishing House, 127–143 (in Chinese)
Wang W, Pan J Y, Su B S. 1994. Statistical distribution of earthquake magnitude and the anomalous change of earthquake magnitude factor M r value before mid-strong earthquakes occurred in North China. Earthquake Research in China, 10(Supp): 95–110 (in Chinese)
Wu J Y, Cao X F. 1983. On the quantitative analysis of seismicities. Earthquake, (6): 13–16 (in Chinese)
Xu S X, 1989. Summary of sorting out of the results of seismological methods for earthquake. In: Chen Z L ed. Collected Papers of the Methods of Earthquake Prediction and Estimation of Strong Seismic Risk. Beijing: Seismological Press, 1–11 (in Chinese)
Yin X C. 1987. The new approach of earthquake prediction. Earthquake Research in China, 3(1): 1–7 (in Chinese)
Yin X C, Chen X Z, Yin C, et al. 1994. The development in the application of the load-unload response ration theory to earthquake prediction. Earthquake, (Supp): 18–24 (in Chinese)
Zhu C Z, Wang L Y. 1988. The principle of entropy and seismological research. Journal of Seismological Research, 11(6): 527–538 (in Chinese)
Author information
Authors and Affiliations
About this article
Cite this article
Cheng, WZ. Mathematical basis, correlativity and selection of seismicity parameters. Acta Seimol. Sin. 12, 183–192 (1999). https://doi.org/10.1007/s11589-999-0023-4
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11589-999-0023-4