我国几次大震及震群活动的时间分维特征

本文根据Mandellrot提出的分维理论,对我国三次大震及四次震群活动的时间分维进行了研究,得到如下结论:1.时间分维的总体特征:大震前分维较低,震后分维升高。2.时间分维的动态变化特征:火震前的分维呈现一总趋势的降维过程,且幅度较大;而震群的时间分维变化较平稳。3.对同一地震序列,起始震级愈低,计算出的分维值愈高;起始震级愈高,计算出的分维值愈低。笔者认为,地震序列起止时间的选取对计算时间分维会产生较大影响。     

中心回线瞬变电磁法2.5维有限单元算法

瞬变电磁法的野外资料解释基本上停留在一维水平，本文从生产实践中常用的中心回线法入手，基于电磁场本身的叠加原理，从麦克斯韦方程组出发，导出了中心回线瞬变电磁2.5维二次场（纯异常）的有限单元计算公式. 该算法采用三角形有限元网格，在尽可能拟合地下电性断面的情况下减少有限元网格的节点数和单元数；用选主元的LU分解法求解线性方程组，做到了在移动场源时只需改变右端项；在反傅氏变换中，使用新的波数选取方案，让波数m随时间t滑动. 最后给出的算例表明，该算法直接计算异常场，计算速度快、精度高.     

“广义信息维”在首都圈地震中期预报中的应用

给出了“广义信息维”的计算公式和计算方法，研究了首都圈和周期地区的广义时间分维和华北地区的广义空间分维。结果表明，在该地区Ｍｓ≥５．３地震前０．５－３ａ，时间分维都有一个较明显的降维过程；空间分维也有较好的对应效果，但是存在漏现象。     

非线性参数H值用于华北地区的预报方案研究及检验

本文研究了非线性参数Ｈ值曲线与华北强震之间的关系。将ＲＳＨ算法应用于华北地区，研究了定量预报指标的方案，并进行了回溯性预报检验。     

地下水位的混沌和多重分形特征演化及其中短期预报意义

采用苏20井记录到的1995年7月1日至1997年6月30日地下水位观测数据作为研究的原始资料,计算并研究了1996年11月9日南黄海 M_S 6.1地震前后地下水位系统混沌吸引子的关联维数D₂、二阶熵K₂和最大Lyapunov指数λ₁,并用推广GP法研究了地震前后系统多重分形的广义维数谱D_q。研究结果表明:地下水位系统为混沌系统,系统的自由度在3~16之间;地震过程中系统有降维减熵现象,震前广义维数谱D_q左半边曲线变陡,因而可被看作为强震前的前兆信息。此结果对今后在预报工作中认识地震前兆观测的非线性动力学特征和利用这些特征进行地震预报具有重要的实用意义。     

模糊空间分维在地震活动时空演化研究中的应用

本文把模糊分维方法应用于地震活动时空演化研究,当中.给出了强震和中强震活动模糊空间分维的确定方法,并通过计算不同小区的模糊空间分维随时间的变化曲线来研究地震活动的时空演化特征.以华北及西南地区地震活动性时空演化图象为例进行了具体分析研究.所得结果表明,大震前地震活动的模糊空间分维D_0~(2)要出现下降异常,并且大地震发生在D_0~(2)减小的地区(西南)或先减小而后达到高值(华北)的地区.     

Manifestation and measurement of the fractal characteristics of karst hydrogeological formations

A new method of estimating the fractal dimension of the percolation backbone of karst systems, which are discharged through karst springs, is presented. This method is based on the simulation of the spring by the MODKARST deterministic mathematical model. Application has been made to the Psiloritis karst formation in Crete, which feeds the periodically brackish karst spring “Almiros” in Crete. Furthermore, the estimated dimension justifies an independently determined power law that quantifies the sea intrusion into the karst system.     

Similarities between strike-slip faults at different scales and a simple age determining method for active faults

Abstract Several differently scaled strike‐slip faults were examined. The faults shared many geometric features, such as secondary fractures and linkage structures (damage zones). Differences in fault style were not related to specific scale ranges. However, it was recognized that differences in style may occur in different tectonic settings (e.g. dilational/contractional relays or wall/linkage/tip zones), different locations along the master fault or different fault evolution stages. Fractal dimensions were compared for two faults (Gozo and San Andreas), which supports the idea of self‐similarity. Fractal dimensions for traces of faults and fractures of damage zones were higher (D ～1.35) than for the main fault traces (D ～1.005) because of increased complexity due to secondary faults and fractures. Based on the statistical analysis of another fault evolution study, single event movements in earthquake faults typically have a maximum earthquake slip : rupture length ratio of approximately 10^?4, although this has only been established for large earthquake faults because of limited data. Most geological faults have a much higher maximum cumulative displacement : fault length ratio; that is, approximately 10^?2 to 10^?1 (e.g. Gozo, ～10^?2; San Andreas, ～10^?1). The final cumulative displacement on a fault is produced by accumulation of slip along ruptures. Hence, using the available information from earthquake faults, such as earthquake slip, recurrence interval, maximum cumulative displacement and fault length, the approximate age of active faults can be estimated. The lower limit of estimated active fault age is expressed with maximum cumulative displacement, earthquake slip and recurrence interval as T ? (d_max /u) · I(M).     

基本结构有限元算法及大地电磁测深一维连续介质正演

提出了一种新的数值方法——基本结构有限元法. 从经典的伽辽金法（Galerkin method）出发,首先定义了基本结构插值基函数,在此基础上建立了基本结构方程,然后用有限元法进行进一步的具体实现. 该算法被成功应用到大地电磁测深一维连续介质正演计算中. 采用了6种不同的单元插值基函数进行计算,并对计算结果进行了比较和分析.     

The strength and fractal dimension characteristics of alum–kaolin flocs

Flocs generated by various shear forces exhibit different characteristics of size, strength and structure. These properties were investigated by employing a continuous optical monitoring and a microscope with CCD camera to directly monitor aggregation under six different shear intensities. The floc structure was characterized by the fractal dimension. The results showed that the flocculation index (FI) decreased from 1.16 at 20 rpm to 0.25 at 250 rpm and the floc size decreased from 550 μm to 150 μm, meantime, the FI value showed a good correlation with floc size. In order to determine the floc strength, two methods were used. One was the strength factor, ranging from 18.3% to 62.5%, calculated from FI curve, and the other was a theoretical value between 0.005 N/m² and 0.240 N/m², estimated by calculation. The floc strength increased with the G value in both cases. Furthermore, the fractal dimension increased with G and its value was between 1.30 and 1.63. The relation between fractal dimension and strength was also obtained.