用土的分形结构确定土的水份特征曲线

运用筛析法和比重计法，分析了宁夏膨胀土的颗粒分布，发现粒径介于0．002～0．1mm的粒度分布是分形的，分维介于2．46～2．67；运用上孔隙分布的分维确定水份特征曲线，得到了很好的结果。此外，还探讨了粒度分形分布的机制。     

分形几何用于岩石损伤扩展过程的研究

通过对岩石损伤扩展机理的研究，运用分形几何理论，建立了岩石损伤变量ω与分形维数之间关系。     

地震丛集的分形新方法—物理分形

地震时间丛集的传统分形分析方法把地震事件看作是时间轴上无质量的数学点。这些方法得到的结果主要反映了大量小地震的活动特征。本文发展了一个新的物理分形分析的筛子方法，采用一系列震级筛子来研究不同震级地震的分布特征。对华北和南加洲的研究结果表明，同一地区地震目录中不同震级范围的子集合具有近似相等的分维数，华北Ｄ＝０．３，南加洲Ｄ＝０．４。     

金矿脉分形特征及找矿意义研究

各种类型的金矿脉常呈不规则的几何形状产出,对它们用欧几里德方法进行描述和分析,不仅难以精确地说明其几何形态特征,有时甚至无法作出实际测量,因此也就很难掌握其产状变化的准确趋势,给金矿床的定量定位预测造成了困难.分形理论为获得有关隐伏矿床(脉)分布的更为准确的信息提供了有利工具.通过对招远灵山和河东两个典型金矿床矿脉分维数、几何丰度和有效紧密度等研究,讨论了分形理论在紧密结合地质特征条件下,客观准确揭示不规则矿脉变化规律及在找矿预测等方面的应用前景.     

GIS技术在油气勘探中的应用及发展趋势

GIS是处理空间信息的强大工具,GIS应用于油气勘探中,能够有效的分析潜在资源,发现新资源或扩展现有资源。今后,网络GIS、三维甚至高维GIS是GIS在油气勘探领域应用的重要发展方向。     

区域化探数据处理的几种分形方法

地球化学变量兼有随机性、确定性和区域结构性的特征，传统的数学方法难以精确地描述地球化学变量的空间分布规律，而新兴的分形几何是刻画空间不规则形体的一种比较有效的工具，且分维值可以表征空间不规则形体的确定性本质。基于分形原理，提出含量-总量法、空间分形插值法和分形趋势面法3种新的分形技术，应用于区域化探数据处理。在几个典型矿区应用后发现，上述分形方法不仅可以有效地模拟地球化学变量的空间分布特征，而且在保留原始有效异常信息的基础上可以更合理地区分地球化学变量的背景与异常，具有发现和强化弱异常信息的重要功效。     

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).     

基于灰色算子的尾矿坝浸润线混沌研究

对于尾矿坝浸润线时间序列，通过建立一个灰色算子，来弱化坝体高度、库内水位等因素所带来的确定性影响，突出混沌特性，形成新的时间序列，对该序列进行相空间重构后，求取关联维。德兴铜矿2#尾矿坝浸润线观测数据的分析结果表明，灰色算子能较好地处理混沌问题，浸润线时间序列存在着非整数维，是一个混沌系统：对于尾矿坝安全不能进行长期预测，而需要长期监测。     

多孔介质非饱和导水率预测的分形模型

多孔介质非饱和导水率是地下水污染预测与评价的重要参数。根据分形几何的基本原理和方法,推导出了与Campbell经验公式在形式上完全一致的多孔介质非饱和导水率的预测公式。公式中的幂指数为介质孔隙分维和随机行走分维的函数,分别体现了多孔介质的静态性质与动态性质对其中水分运动的影响,但静态性质的影响是主要的,即导水率主要受多孔介质的结构控制。根据文献中报道的大量数据,利用笔者推导的预测公式计算得到的幂指数的统计值与试验测定的幂指数的统计值基本一致,说明推导的理论公式预测多孔介质非饱和导水率是较为可靠的。     

A Corrected and Generalized Successive Random Additions Algorithm for Simulating Fractional Levy Motions

Simulation of subsurface heterogeneity is important for modeling subsurface flow and transport processes. Previous studies have indicated that subsurface property variations can often be characterized by fractional Brownian motion (fBm) or (truncated) fractional Levy motion (fLm). Because Levy-stable distributions have many novel and often unfamiliar properties, studies on generating fLm distributions are rare in the literature. In this study, we generalize a relatively simple and computationally efficient successive random additions (SRA) algorithm, originally developed for generating Gaussian fractals, to simulate fLm distributions. We also propose an additional important step in response to continued observations that the traditional SRA algorithm often generates fractal distributions having poor scaling and correlation properties. Finally, the generalized and modified SRA algorithm is validated through numerical tests.