几种新的河网分维及其制图特征

利用分形几何原理，推导出几种新的河网分维，并讨论了它们的制图特征。     

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.     

任楼矿井72煤层断层构造分形特征研究

利用分形理论,对安徽皖北任搂煤矿72煤层断层分形特征进行了研究,计算了不同构造分区的维数。研究发现构造复杂性不同及断裂性质的不同其分形维数也有所不同,构造简单,断层分维数小,而构造复杂区,断层分为数相对较大;剪切断裂带具有较低的分维值,张扭性断裂带分维值较高。     

基于分形理论的遥感蚀变异常提取和分级

分形理论研究自然界和社会活动中广泛存在的无序（无规则）而有自相似性的系统。在地球系统中,许多地学现象的空间展布具有分形结构。蚀变作为一种地质记录,其分布具有明显的不均匀性。同时蚀变也是一种异常,而分维与异常又往往具有一定的关系。利用分形理论的求和法（即像元亮度-面积模式）进行遥感蚀变异常的提取和分级较为有效,可以弥补传统的门限化方法和利用灰度直方图目视确定突变点方法的不足。     

Fractally Invariant Distributions and an Application in Geochemical Exploration

Fractal modelling has been applied extensively as a means of characterizing the spatial distribution of geological phenomena that display self-similarity at differing scales of measurement. A fractal distribution exists where the number of objects exhibiting values larger than a specified magnitude displays a power-law dependence on that magnitude, and where this relationship is scale-invariant. This paper shows that a number of distributions, including power-function, Pareto, log-normal and Zipf, display fractal properties under certain conditions and that this may be used as the mathematical basis for developing fractal models for data exhibiting such distributions. Population limits, derived from fractal modelling using a summation method, are compared with those derived from more conventional probability plot modelling of stream sediment geochemical data from north-eastern New South Wales. Despite some degree of subjectivity in determining the number of populations to use in the models, both the fractal and probability plot modelling have assisted in isolating anomalous observations in the geochemical data related to the occurrence of mineralisation or lithological differences between sub-catchments. Thresholds for the main background populations determined by the fractal model are similar to those established using probability plot modelling, however the summation method displays less capacity to separate out anomalous populations, especially where such populations display extensive overlap. This suggests, in the geochemical data example provided, that subtle differences in the population parameters may not significantly alter the fractal dimension.     

HEIFE绿洲和沙漠地区大气边界层湍流混沌特性研究

利用“黑河实验”期间张掖、沙漠观测站加强观测期间１９９１年６月２０日０９：００至１９９１年１０月２日０９：００时段内水平风速的观测资料,计算分析了有关测量混沌的特征量：关联维数。Ｌｙａｐｕｎｏｖ指数和Ｋｏｌｍｏｇｏｒｏｗ熵。     

基于"3S"技术的于田绿洲湿地动态变化研究

以极端干旱区典型绿洲———于田绿洲为研究区,采用遥感(RS)、地理信息系统(GIS)和全球定位系统(GPS)相结合的方法,进行了湿地资源调查,查明了于田绿洲湿地类型、区域分布及面积,应用模型和分形理论,探讨了于田绿洲湿地的动态变化特征,并分析了其发生动态变化的原因。研究结果对于干旱区绿洲湿地的合理开发和可持续发展有着重要现实意义。     

Hausdorff分数维识别地震道初至走时

地震波初至走时的识别在地震勘探、人工地震层析成像以及全球地震层析成像方法研究中起重要作用．初至走时拾取的精度在很大的程度上影响地震层析成像及演的精度．本研究以提高地震波初至走时拾取的精度及定量化程度为目标,利用计算地震道时间序列分数维的方法,实现了地震波初至走时的自动拾取．本文以分形理论为基础,进行了地震道时间序列Hausdorff分数维的计算．计算结果表明地震道时间序列的分数维在初至到达前后具有不同的数值,其变化点能够定量指示出初至走时的位置．本文还给出了利用该方法对实测数据进行初至走时拾取的实例．     

流态化多级速度梯度混凝反应对絮体的保护作用

多级速度梯度的建立理论上可为絮体的成长创造更理想的环境。目前对流化床混凝工艺的研究多是基于单级速度梯度开展的。以粒径为800 μm 和1 200 μm的树脂颗粒为固相,建立多级速度梯度流化床混凝装置,探讨絮体的成长与形态特征。研究结果表明：在单级速度梯度流化床混凝装置中,当以1 200 μm树脂颗粒为固相颗粒、混凝时间为50.3 s时,絮体发生破碎,混凝效率较混凝时间为41.8 s时降低3%;相同初始填充高度的多级速度梯度条件下,絮体尺寸随着混凝时间的延长而逐渐增加,由5.7 μm成长至70.0~75.0 μm,同时混凝效率也较单级速度梯度下提高了5%~10%。絮体之间的碰撞为絮体成长的主要模式。     

岩石声发射Kaiser点信号频带能量分布和分形特征研究

通过单轴加载岩石破坏全过程声发射试验,根据Kaiser效应原理采用参数法确定了Kaiser点.在此基础上,首先采用小波包频带分解方法,对岩石声发射Kaiser点信号的能量分布特征进行了研究,分析了砂岩声发射信号的不同频带能量分布规律,得到了Kaiser点特征频带能量百分比大于相邻点的重要结论.其次,采用G-P算法计算了声发射过程关联分维数,结果表明声发射过程不仅具有分形特征,而且Kaiser点声发射信号关联分维数小于其相邻点,其结论可作为通过波形分析识别Kaiser点的特征.