Fractal analysis of long-range paleoclimatic data: Oxygen isotope record of pacific core V28-239

R/S analysis of the oxygen isotope curve of Pacific core V28-239 yields a fractal dimension of 1.22. This value is considered to characterize global climatic change over the last 2 million years as expressed by changing O¹⁸ ratios and confirms that climatic variations are characterized by long-term persistence. The fractal dimension of 1.22 compares favorably with the approximate fractal dimension of 1.26 for annual precipitation records for nine major cities in the United States. Although the precipitation and oxygen isotope data are measured in different physical units and recorded at different time scales, fractal analysis allows for a mathematical comparison of the two phenomena. Additionally, since the fractal dimensions of the oxygen isotope and precipitation records are similar, it is implied that such fractal dimensions are characteristic of climate change over the spectral range of 10 to 10⁶ years. Given this temperature curves based on fractal parameters of long-term O¹⁸ data could be constructed which would allow examination of characteristics of temperature variation over tens and hundreds of years. Such studies may allow the establishment of limits on natural temperature variation and document the persistence of temperature trends through time. If these trends and limits can be resolved, long-range climatic prediction is feasible.     

Dimension and entropy in the soil-covered landscape

Both the Hausdorff dimension and the K-entropy supply a measure of the irregularity of the landspace surface. The relationship between the two measures is investigated over a variety of terrains in Britain and a method of calculating the entropy is checked against an independent estimate of the dimension with reasonable agreement. The calculation of the K-entropy requires that the landscape surface be represented by an homogenous ergodic random field. This condition is satisfied by the tendency of soil-covered terrains to progressively approximate to a form well represented by a Gaussian field. Gaussian random fields can either be very smooth, possessing derivatives of all orders at every point or they are highly irregular and non-differentiable everywhere. Within the regular conceptualization the Rice-Kac theory is used to predict the numbers of crossing points and the extent of excursion sets. These predictions are tested against an example terrain from the High Weald of East Sussex with very good agreement, apart from predictions of local maxima. A worked example of the calculation of the K-entropy is given as an appendix. The potential role of information theory in geomorphology extends beyond the use made of entropy in this investigation. In particular ergodic theory has important practical and theoretical implications.     

略论水资源系统的混合模型

大系统优化的关键在于模型的降维.混合模型可看作为一种降维方法,它通过把整个系统分解为联系比较松散的几个子系统,达到降维目的.从理论上对这类模型的建模原则、优化技术及其分类和特点进行了归纳和总结,说明了在多目标复杂水资源系统和排灌系统中这种混合模型的应用是十分有效的.     

破裂系分形研究进展

介绍了破裂系从宏观到微观破裂均具有分形结构，在此基础上，利用破裂系分维定量表征破裂系发育的各种向异性；研究了影响破裂系数分维的结构参娄，对破裂系进行了解析，并且将分维用于地壳稳定性和地震活动性研究，取得了很好的效果；分析了目前破裂系分开研究中存在的一些问题，展望一其研究趋势。     

断裂对地下水力扩散的影响及其与诱发地震关系的讨论

本文重点讨论了断裂规模、断裂相交网络和断裂力学的性质对地下水力扩散的影响,及其与诱发地震的关系。指出断裂密集成带的地方,水力扩散大。根据流体流动规律,水力扩散沿断裂方向流体流速大,断裂越长越深,沿断裂方向水力扩散距离就越大。而水力扩散随深度的变化,由于不同深度上岩性变化和应力状态的不同,有的深度上的岩类可能出现扩容而增大水力扩散。因此它并不是随围压的增大而单值地减少。 文章指出断裂的末端和断裂的交汇处是地下水富集的地方,在水富集地方的四周,水力扩散比其它地方要大。另外现代活动的张性和张扭性断裂比压性和压扭性断裂的水力扩散大。文章还提出水沿断裂扩散是水库诱发地震的直接原因。水力扩散大的断裂,水库诱发地震的可能性大,规模大而活的断裂诱发地震的震级可能大。     

地震自相似现象初探

依据破裂过程和震源物理参数相似性,给出了自相似震源椭球体三轴之比约为a:b:c=1:0.2:0.2。基于分维理论和方法,讨论了自相似的地震时空分布的分维和强震前的降维现象。由前兆展布范围,大震前区域地震活动特征以及地震空区等可导出近源前兆(红肿)区线性尺度约为震源区的5倍。     

澜沧—耿马7.6级地震前中小地震活动信息熵和分维的研究

从信息论原理和分形几何学的观点出发,采用多种方法,分析研究1988年澜沧—耿马7.6级地震前地震活动的信息、信息熵和分维的变化特征表明,地震前1—2年内,中、小地震活动的信息熵、缺信量和容量维、信息维出现明显的低值变化过程,反映了地震前兆的减熵、降维特点,从一个侧面反映了大震前,一定区域内中、小地震活动的时空变化从无序向有序的演化过程。     

Fractal properties of simulated bed profiles in coarse-grained channels

Bed roughness characteristics in coarse-grained channels are fairly complex. A hierarchy of roughness elements can be observed, ranging from variable particle sizes and shapes and small-scale sedimentary structures, to large-scale bedforms such as riffle-pool sequences. The effects of these scales of roughness on the flow geometry still remain to be thoroughly investigated. The semivariogram has been suggested in the past as a means of quantifying bed roughness effects on streamflow, as well as for distinguishing between scales of roughness. However, field measurements are rather time-consuming. The low number of bed profiles measured in the field precludes the identification of generally applicable relationships between the statistical properties derived from the semivariograms (such as the Hausdorff dimensions and the scale of autocorrelation corresponding to each fractal band) and the bed configuration itself (geometrical and sedimentological properties). Simulation results of gravel-bed profiles are, therefore, presented in order to complement the original investigation of Robert (1988a). The simulation experiments, based on grain characteristics of sizes and shapes and on morphological properties of small-scale bedforms, yield very significant information on boundary roughness at the microscale and give insight into the interpretation of empirical semivariograms (derived from field measurements). Bed-material sorting, variable grain shapes, and height and spacing of cluster bedforms control the fractal dimensions obtained from the semivariograms, as well as the location of the break of slope and the range of the process.     

Research of pattern dynamics parameters of crustal deformation field in seismogenic process

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