元素迁移的分维结构、级序路径及共轭地球化学异常存在的理论依据

微量元素在矿源岩（层）中迁移遵循严格的级序路径，并且存在两种迁移倾向。迁移的结果图象是一分维结构。两种共轭地球化学异常出现的有利环境是温度高度反差地区和大断裂系及其附近。     

西北太平洋热带气旋路径时间标度律的研究

时间标度计算表明，西北太平洋热带气旋路径是一个无标度性的系统，其关联方差谱遵从频率的－２￣－３次方幂律，不同背景下的路径系统均如此。由此得到的不同季节、不同地域的热带气旋路径可预报时间尺度基本上为３￣４ｄ，但异常热带气旋路径的可预报时间尺度则为１￣２ｄ。     

唐山地震前兆场的分布特征

本文对唐山地震昌黎等七个台的地电阻率日均值时间序列进行了关联维计算．取每年为一个时间段，其目的在于探索分数维对地震各个阶段的反应，以便达到利用分数维进行地震预报的目的。计算结果表明大部分地电台的地电阻率在地震前有明显的降维特征。通过地震前后七个台的地电阻率分数维的变化，得到了地震前后前兆场的分布特征，这一结果对于未来震源区的判定有重要意义。     

节理岩体断裂的分形机理研究

本文在考察了节理化岩体的断裂力学特征的基础上，结合现代分形几何原理，建立起追踪裂纹裂分形模型，对不连续岩体的断裂韧性的分形效应进行了深入研究，并通过压剪试验得到难。     

闽江河口湿地资源动态变化的分形研究

本研究以分形理论为基础,并借助GIS、RS技术,利用1986年和2002年两期TM遥感影像,提取获得了1986年和2002年闽江河口湿地资源的空间信息,根据分形理论中分形维数和稳定性指数的物理意义,揭示了闽江河口湿地资源动态变化情况。研究表明:闽江河口的湿地类型具有分形结构.并且由于受到较强的人类活动的干预,湿地斑块的形状较为复杂,且稳定性较差。     

Suspended sediment load transport in the Mississippi River basin at St. Louis: temporal scaling and nonlinear determinism

This study investigates the dynamic behavior of suspended sediment load transport at different temporal scales in the Mississippi River basin. Data corresponding to five successively doubled temporal scales (i.e. daily, two‐day, four‐day, eight‐day and 16‐day) from the St. Louis gaging station in Missouri are analyzed. The investigation is focused on identifying possible low‐dimensional deterministic behavior in the suspended sediment load transport dynamics, with an aim towards reduction in model complexity. The correlation dimension method is used to identify low‐dimensional determinism. The suspended sediment load dynamics are represented through phase‐space reconstruction, and the variability is estimated using the (proximity of) reconstructed vectors in the phase space. The results indicate the presence of low‐dimensional determinism in the suspended sediment load series at each of the five temporal scales, with the variables dominantly governing the dynamics in the order of three or four. These results not only suggest the appropriateness of relatively simpler models but also hint at possible scale invariance in the suspended sediment load transport dynamics. Copyright © 2006 John Wiley & Sons, Ltd.     

Nonlinear determinism in river flow: prediction as a possible indicator

Whether or not river flow exhibits nonlinear determinism remains an unresolved question. While studies on the use of nonlinear deterministic methods for modeling and prediction of river flow series are on the rise and the outcomes are encouraging, suspicions and criticisms of such studies continue to exist as well. An important reason for this situation is that the correlation dimension method, used as a nonlinear determinism identification tool in most of those studies, may possess certain limitations when applied to real river flow series, which are always finite and often short and also contaminated with noise (e.g. measurement error). In view of this, the present study addresses the issue of nonlinear determinism in river flow series using prediction as a possible indicator. This is done by (1) reviewing studies that have employed nonlinear deterministic methods (coupling phase‐space reconstruction and local approximation techniques) for river flow predictions and (2) identifying nonlinear determinism (or linear stochasticity) based on the level of prediction accuracy in general, and on the prediction accuracy against the phase‐space reconstruction parameters in particular (termed as the ‘inverse approach’). The results not only provide possible indications to the presence of nonlinear determinism in the river flow series studied, but also support, both qualitatively and quantitatively, the low correlation dimensions reported for such. Therefore, nonlinear deterministic methods are a viable complement to linear stochastic ones for studying river flow dynamics, if sufficient caution is exercised in their applications and in interpreting the outcomes. Copyright © 2006 John Wiley & Sons, Ltd.     

淮南矿区潘三矿构造发育规律定量研究

本文采用煤层构造形态空间分析、断裂要素数理统计分析等方法,并引入断裂分形维数指标作为刻划断裂构造发育强度的指标之一,对准南矿区潘三矿地质构造进行了定性—定量分析,揭示了矿井地质构造发育的南北分带性和东西分区性特征。     

基于分形理论的航空图像分类方法

提出一种基于分形理论和BP神经网络的航空遥感图像有监督分类方法。该方法尝试将航空图像的光谱信息和纹理特征相结合。它首先将彩色航空图像由RGB格式转化为HSI格式，然后，根据亮度计算分数维、多重分形广义维数谱q-D(q)和“空隙”等基于分形的纹理特征，同时加入归一化的色度和饱和度作为光谱特征，采用BP神经网络作为分类器。通过对彩色航空图像的分类实验，结果证实该方法行之有效。     

地图数字化误差分析及探讨

文章分析了地图数字化误差的分类和主要来源,在目前研究现状的基础上,引入了分形分维理论,作者主要研究了分形分维理论在地图数字化误差分析中的应用 ,并通过实验分析,得到一定的结论.