断层泥分形结构与断层运行特征

介绍了西秦岭北缘断裂带东段和海原断裂带西段的天然断层泥的分形方法和结果，并对断层泥的粒度分布特征与断层运动特性的关系进行了探讨。     

人地非线性相关作用的探讨

从自组织系统思想出发，提出了人地关系的基本特性，通过逻辑斯蒂听数学变换，分析了人地非线性相关作用的混沌特性，进而讨论了人地关系的分形性质。基于混 过程与分形结构的因果关系，指出：地球表层系统中的人文分形景观乃是人地非线性关系的混沌作用所致。     

Nano-scale pore structure and fractal dimension of organic-rich Wufeng-Longmaxi shale from Jiaoshiba area,Sichuan Basin: Investigations using FE-SEM,gas adsorption and helium pycnometry

Much attention have been recently paid to the upper Ordovician Wufeng shale (O₃w) and lower Silurian Longmaxi shale (S₁l) in the Jiaoshiba area of Sichuan Basin, which is now the largest producing shale gas field in China. Field emission scanning electron microscopy (FE-SEM), low pressure gas (N₂ and CO₂) adsorption, helium pycnometry, X-ray diffraction and geochemical analyses were performed to investigate the pore structure and fractal dimension of the pores in O₃w-S₁l shale formation in the Jiaoshiba area. FE-SEM images show that organic matter (OM) pores are dominant in the organic-rich samples and these pores are often irregular, bubble-like, elliptical and faveolate in shape, while in organic-poor samples, limited and isolated interparticle (interP), intraparticle (intraP) and OM pores are observed. Reversed S-shaped isotherms obtained from nitrogen adsorption are type Ⅱ, and hysteresis loops indicate that the shape of micropore in the samples is slit-or plate-like. BET surface areas and total pore volume vary from 12.2 to 27.1 m²/g and from 1.8 × 10⁻² to 2.9 × 10⁻² cm³/g, with an average of 19.5 m²/g and 2.3 × 10⁻² cm³/g, respectively. Adsorption volume from both N₂ and CO₂ adsorption increases with respect to TOC contents. Porosities obtained from helium porosimetry are comparable with these from gas (CO₂ and N₂) adsorption in O₃w-S₁l shale. However, porosity determined by quantitative FE-SEM analysis is much smaller, which is mainly related to limited resolution and the small areas of investigation.Based on the Frenkel-Halsey-Hill (FHH) model of low-pressure N₂ adsorption, fractal dimensions of the pores varied from 2.737 to 2.823. Relationships between pore structure parameters and TOC content, mineral composition and fractal dimension reveal that the fractal dimension is mainly associated with micropores. Samples with higher TOC content, higher quartz content and lower clay content tend to contain more heterogeneous micropores, resulting in higher fractal dimensions and more complicated pore structure in shales. Therefore, fractal dimension is an effective parameter to reflect the complexity of pore structure and the degree of micropore development in O₃w-S₁l shale.     

分形方法在苏北盆地金湖凹陷石油资源评价中的应用

成熟勘探区剩余资源量的多少倍受关注。根据金湖凹陷的油藏规模分布特征,应用分形方法估计该区的石油地质资源。石油地质资源总量为12284×10⁴t,分布在507个油藏中;其中未发现的具有经济价值的石油地质资源量为2740×10⁴t,分布在126个油藏中。这反映了该区的油气勘探程度较高,但仍有一定的勘探潜力,大量中-小油藏是今后勘探的主攻目标。分形方法作为油气资源评价的一种新途径,计算过程简便,结果可靠,应用前景广阔。     

雪崩、分形与雷暴放电中强闪的自组织演化

强调了雪崩、分形与远离平衡系统自组织演化的联系。利用2003年夏季青藏高原中部地区雷暴放电的地面电场野外观测资料,基于近年来发展的分形及多重分形分析中的去势涨落分析(detrend-ed fluctuation analysis,DFA)方法,对强闪前电场信号的关联及多重分形特征进行了分析,发现强放电前过程具有明显的分形和多重分形特征,多重分形谱与推广的二项倍增串级模式符合。分析在一定程度上表明了雷暴强放电发生的可能的自组织演化性。     

岛屿海岸线自动化提取及其时空变迁研究——以大连市獐子岛为例

海岸带是受人类活动和全球海平面上升影响的敏感地带,海岸线的提取和监测是海岸带生态系统研究和社会管理的重要内容。本文在遥感和地理信息系统的支持下,以修正的归一化水体指数(Modified Normalized Difference Water Index,MNDWI)为基础,结合遥感影像处理和直方图均衡化等技术,实现了大连市獐子岛1985—2016年海岸线的自动化提取。结果表明:(1)通过与三位专家目视解译的成果比对,本文提取海岸线的精度能满足后续研究的要求(相对误差分别为0.045%,0.032%和0.023%);(2)近30年来,獐子岛海岸线总体呈现蚀退趋势,岸线长度与岛屿面积分别呈现变短和变小的趋势,獐子岛(主岛)和大耗岛的岸线蚀退速率最大,褡裢岛次之,小耗岛最小;在人类活动较为密集的区域,海岸线呈现出较为强烈的增长趋势,海水养殖和圈海建坝是岸线增长的主要驱动力;(3)獐子岛海岸线具有显著的分形性质,分形维数随时间呈现增大的趋势,獐子岛(主岛)的分形维数最大,褡裢岛的分形维数最小。     

Fractal reconstruction of sea-floor topography

Sea-floor bathymetric profiles exhibit features at many different scales of length; this suggests that they could be described as fractals. An algorithm interpolating a fractal line between points has been used to reconstruct bathymetric profiles from a few data points. In general, this fractal line has the same Fourier amplitude spectrum as real bathymetry, and, if the parameters of the interpolation are suitably chosen, it has a very similar appearance. The success of this fractal reconstruction algorithm for the sea-floor raises the possibility that it could be used to extrapolate, from data collected at one scale, the properties of the sea-floor at finer scales, and that similar techniques could be used to interpolate a surface between bathymetric profiles. The fractal character is a sign that the processes that shape the sea-floor are scale invariant and suggests that the renormalization group technique could be used to model these processes.     

Statistical distribution of natural fractures and the possible physical generating mechanism

We have fitted field measurements of fracture spacings (from the vicinity of Lake Strom Thurmond, Georgia, U.S.A.) to the Weibull, Schuhmann and fractal distributions. The fracture spacings follow a fractal and Weibull distribution which implies that they were formed as a result of a repetitive fragmentation process. The limited variation of the fracture density with orientation in the study area suggests that the stress distribution generating these fractures may be uniform.     

水系分维的构造含义

本文运用分数维几何学,研究了河流水系分维与地壳里向运动、活动断裂格局及运动学特征的关联性。结果表明:1)地壳垂向运动控制大型河流主干的总体形态;2)活动断裂格局复杂、水平运动强烈的地区,水系分维值高;3)走滑断裂较斜滑断裂对水系发育的控制强烈,而后者主要起到对水系的分区作用。     

地震自相似现象初探

依据破裂过程和震源物理参数相似性,给出了自相似震源椭球体三轴之比约为a:b:c=1:0.2:0.2。基于分维理论和方法,讨论了自相似的地震时空分布的分维和强震前的降维现象。由前兆展布范围,大震前区域地震活动特征以及地震空区等可导出近源前兆(红肿)区线性尺度约为震源区的5倍。