震级变异系数与地震序列类型、 性质的统计物理特征和早期判定方法的研究

根据G-R公式和非线性动力学观点, 在分析不同类型地震序列震级分布细结构基础上, 提出用震级变异系数δ_m、 b值和震级熵H(m)、 马尔柯夫链理论值h和信息量维数D₁等统计量, 来综合描述和界定不同类型、 性质的地震序列; 同时对截止震级问题、 b值、 平均震级m、 h和D₁等统计物理含义进行了探讨。 认为δ_m、 b值和H(m)及其与理论指数分布的震级熵H(∞)的差值ΔH(m)相结合将有助于区分前震序列、 前兆性震群和各种不同类型(主-余震型、 震群型、 孤立型)地震序列, 并且可以对这些类型进行早期判断。

The magnitude variation coefficient, statistical properties and early judgment of the type of earthquake sequences

Based on the G-R relationship and nonlinear dynamics, we have proposed some statistical variances, i.e., magnitude variation coefficients δ_m, b value, magnitude entropy H(m), Markov chain theoretical value h and information fractal dimension D₁ etc., to describe the different kinds and properties of earthquake sequences. We have also discussed the physical meaning for cutoff magnitude, b value, average magnitude , h and D₁. It is helpful to distinguish and early judge the type of earthquake sequences (foreshock, precursory swarm and mainshock-aftershock type, strong shock swarm type, isolated strong shock type) by δ_m, b value, H(m), different ΔH(m) between H(m), and theoretical exponential magnitude entropy H(∞)。