Mean slope-angle frequency distribution and size frequency distribution of landslide masses in Higashikubiki area, Japan

Landslide mass size frequency distributions and mean slope-angle frequency distributions were calculated for slump, slide, and creep type landslides in the Higashikubiki area. Mean slope-angle frequency distributions closely approximated Weibull distributions. Size frequency distributions show power-law dependencies. Both can be explained by modeling landslides as linked uniform blocks in tensile force. Power coefficients for size frequency distributions were 2.01–2.32 (approximation to power functions) or 2.10–2.24 (approximation to Pareto distributions).     

复杂等高线自动综合的分形处理方法研究

复杂等高线自动综合是计算机辅助制图领域中一项重要且难度较大的任务。本文根据分形理论的基本原理，提出了一种基于量化等高线形状结构特征的复杂等高线自动综合的新方法。研究和实验表明，该方法充分顾及了地貌形态特征，能够对等高线图形进行客观、有效地概括。     

海岸线空间分形性质探讨——以江苏省为例

根据分形理论 ,借助于GIS技术的支持 ,以江苏省海岸线为例 ,对以往研究少有涉及的海岸线空间分形性质进行了初步探讨 ,包括不同比例尺下海岸线长度的分形标定、不同潮滩分界线是否具有分形性质等 ,在江苏省海岸线长度的分形标定中取得了实际应用 ,由此获得了对海岸线分形性质及其分维意义的一些深入认识。     

珠江河网分形机理研究

以不同时期珠江网河历史地图及遥感影像为基础,进行了河网分形计算,并从河道发育、人为活动等多个角度分析了珠江网河分形机理。在发育过程中,1883-2001年间河网分维值逐渐减小;在空间上,正干水道中潮道分维值大于分汊河道。分析认为,人为活动是导致珠江网河分形变化的主要因素:联围筑闸消灭横向支汊、口门整治及河道固化减小了河道冲决的几率、河道挖沙引起的水沙分流比变化改变了河道冲淤特性。     

区域交通网络分形的DBM特征--交通网络Laplacian分形性质的实证研究

城镇体系在理论状态下的三角点阵格局暗示着现实中的交通网络在一定时空条件下具有ＤＢＭ模型的某些特征。从形态分析和维数对比两个方面论证了区域交通网络扔Ｌａｐｌａｃｉａｎ分形性质,认为可用ＤＢＭ模型模拟城镇体系－交通网络的形成和演化过程,从而揭示其动力学机制。     

吉林省辉南地区含金韧性剪切带的构造地质特征

吉林省辉南地区韧性剪切带岩石变形特征复杂多样。通过对剪切带内岩石的有限应变测量和变形环境的分析,认为本区韧性剪切带发育在地壳浅层次的低温低压环境,为逆冲推覆韧性变形,其变形变质作用相当于低绿片岩相,具有独特的构造组合和岩石变形特征,差异应力值为４５－５４ＭＰａ,剪切位移量约为１２．５ｋｍ,形成时间为中元古宙。     

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。     

Non-Fickian mass transport in fractured porous media

The paper provides an introduction to fundamental concepts of mathematical modeling of mass transport in fractured porous heterogeneous rocks. Keeping aside many important factors that can affect mass transport in subsurface, our main concern is the multi-scale character of the rock formation, which is constituted by porous domains dissected by the network of fractures. Taking into account the well-documented fact that porous rocks can be considered as a fractal medium and assuming that sizes of pores vary significantly (i.e. have different characteristic scales), the fractional-order differential equations that model the anomalous diffusive mass transport in such type of domains are derived and justified analytically. Analytical solutions of some particular problems of anomalous diffusion in the fractal media of various geometries are obtained. Extending this approach to more complex situation when diffusion is accompanied by advection, solute transport in a fractured porous medium is modeled by the advection-dispersion equation with fractional time derivative. In the case of confined fractured porous aquifer, accounting for anomalous non-Fickian diffusion in the surrounding rock mass, the adopted approach leads to introduction of an additional fractional time derivative in the equation for solute transport. The closed-form solutions for concentrations in the aquifer and surrounding rocks are obtained for the arbitrary time-dependent source of contamination located in the inlet of the aquifer. Based on these solutions, different regimes of contamination of the aquifers with different physical properties can be readily modeled and analyzed.     

海洋中液-固界面作用的分形研究Ⅰ.SAXS法测量固体交换剂的分维

本文将分形作为一个新概念,应用到海洋化学的液-固界面作用的一系列的研究上。根据用SAXS法测定一些常见的粘土矿物(高岭石,蒙脱石)和水合氧化物(水锰矿、δ-MnO_2、氧化铁凝胶、针铁矿、无定形氧化铁)的分维结果,可将这些结果划分成三类:(1)小尺度模量下具有表面分形;大尺度模量下具有质量分形。(2)只有一种分维值的表面分形。(3)在小尺度模量下和大尺度模量下分别具有不同分维值的表面分形。     

隧道围岩断面轮廓分维数的小波分析算法及应用

隧道的超欠挖对衬砌结构稳定性影响较大,研究其规律,对于掌握围岩受力,确保施工安全,具有深远意义。隧道断面轮廓超欠挖序列具有统计自相似性,根据小波分析的多分辨率的特点,本文给出了利用小波理论估计分维数的方法。选定恰当的小波函数和分解层数,对隧道围岩断面的整体轮廓、拱顶和边墙的超欠挖序列分别进分形维数的小波分析估算,结果安全可靠。根据计算结果,分析了设计围岩类别与断面轮廓曲线分形维数估计值之间的关系,并结合现场实际情况,简明分析了断面轮廓分形维数与围岩稳定性之间的关系。