基于分形维数和信息熵的土地利用景观格局变化研究——以西安市为例

信息熵和分形理论为研究地理学中系统的有序性和复杂结构现象的不稳定性提供了一条新途径,为研究土地利用景观格局变化提供了新的思路。以信息熵和分形理论为指导,在遥感和GIS技术支持下,对西安市土地利用景观格局演变的分形特征和信息熵进行分析,结果表明:1999-2008年,西安市土地利用景观结构趋于简单化,景观类型在空间上的稳定性逐渐增大;土地利用景观结构信息熵总体上呈逐渐下降趋势,即土地利用有序度逐渐上升,而无序度逐渐降低。     

浅析DEM分形特征

以图幅为分析单元,选择立方体覆盖法和分形布朗法对所选区域进行分形计算,并比较了两种分形算法。     

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.     

分形几何在岩土力学研究中的过去、现在与未来

首先简略地介绍了分形几何理论及其方法。从岩土材料结构的定量描述、流体在岩土体中的渗流问题、岩土材料强度的分形模型和分形空间的力学特征四个方面叙述了分形理论在岩土力学研究中取得的成果及应用。指出只有将岩土力学系统在欧氏空间的各种基本变量、原理和方法向分形空间推广和拓展,才能产生对岩土材料非线性力学行为的新认识,这也是分形理论在岩土力学研究中进一步深化的基础。     

干湿循环条件下膨胀土裂隙特征分形研究

通过膨胀土多次干湿循环的三轴和直剪实验,从试样裂隙率计算结果可以得出,三轴试样,经第1次循环,其表面裂隙率增幅最大,2～4次循环增幅较大,第5次循环增幅较小.直剪试样,试样表面裂隙率经1～3次循环增幅较大,第4次循环增幅较小,第5次循环以后试样表面裂隙率有所降低,但降低的幅度不大.总的说来,随干湿循环次数的不断增加,膨...     

http://www.sciencedirect.com/science/article/pii/S1674987110000320

The self-similar is a common phenomena arising in the field of geology.It has been shown that geochemical element data,mineral deposits,and spacial distribution conform to a fractal structure.A fractal distribution requires that the number of objects larger than a specified size have a power-law dependence on size.This paper shows that a number of distributions,including power-function,Pareto, lognormal,and Zipf,display fractal properties under certain conditions and that this may be used as the mathemat...     

个旧锡矿高松矿田综合信息矿产预测

个旧超大型锡铜多金属矿床是我国和世界上重要的锡产地,近年来面临严重的资源危机。通过分析个旧锡矿高松矿田的地质、地球化学、地球物理等信息特征,用统计排序法和地质统计学方法解决了断裂、褶皱、地层、花岗岩等定性信息的量化、分级,用分维确定了考虑线性和面状因素的最佳信息单元大小,利用以Shannon信息论基本原理为基础的分层次自相似信息量加和法在信息类型内部和类型之间进行了信息的有机综合,得到了三级18个预测区,经云南锡业公司工程和已知矿区验证,取得了很好的效果。     

A new multiscale scheme for computing statistical moments in single phase flow in heterogeneous porous media

In this work we develop a new multiscale procedure to compute numerically the statistical moments of the stochastic variables which govern single phase flow in heterogeneous porous media. The technique explores the properties of the log-normally distributed hydraulic conductivity, characterized by power-law or exponential covariances, which shows invariance in its statistical structure upon a simultaneous change of the scale of observation and strength of heterogeneity. We construct a family of equivalent stochastic hydrodynamic variables satisfying the same flow equations at different scales and strengths of heterogeneity or correlation lengths. Within the new procedure the governing equations are solved in a scaled geology and the numerical results are mapped onto the original medium at coarser scales by a straightforward rescaling. The new procedure is implemented numerically within the Monte Carlo algorithm and also in conjunction with the discretization of the low-order effective equations derived from perturbation analysis. Numerical results obtained by the finite element method show the accuracy of the new procedure to approximated the two first moments of the pressure and velocity along with its potential in reducing drastically the computational cost involved in the numerical modeling of both power-law and exponential covariance functions.     

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。     

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。