From Predictive Mapping of Mineral Prospectivity to Quantitative Estimation of Number of Undiscovered Prospects

This paper proposes that the spatial pattern of known prospects of the deposit‐type sought is the key to link predictive mapping of mineral prospectivity (PMMP) and quantitative mineral resource assessment (QMRA). This proposition is demonstrated by PMMP for hydrothermal Au‐Cu deposits (HACD) and by estimating the number of undiscovered prospects for HACD in Catanduanes Island (Philippines). The results of analyses of the spatial pattern of known prospects of HACD and their spatial associations with geological features are consistent with existing knowledge of geological controls on hydrothermal Au‐Cu mineralization in the island and elsewhere, and are used to define spatial recognition criteria of regional‐scale prospectivity for HACD. Integration of layers of evidence representing the spatial recognition criteria of prospectivity via application of data‐driven evidential belief functions results in a map of prospective areas occupying 20% of the island with fitting‐ and prediction‐rates of 76% and 70%, respectively. The predictive map of prospective areas and a proxy measure for degrees of exploration based on the spatial pattern of known prospects of HACD were used in one‐level prediction of undiscovered mineral endowment, which yielded estimates of 79 to 112 undiscovered prospects of HACD. Application of radial‐density fractal analysis of the spatial pattern of known prospects of HACD results in an estimate of 113 undiscovered prospects of HACD. Thus, the results of the study support the proposition that PMMP can be a part of QMRA if the spatial pattern of discovered prospects of the deposit‐type sought is considered in both PMMP and QMRA.     

武乡区块山西组泥页岩孔隙结构及分形特征研究

沁水盆地东部煤系伴生泥页岩广泛发育,页岩气资源潜力大,开展该区泥页岩孔隙结构特征的研究对页岩含气性评价及实现煤层气、页岩气合探共采具有重要意义。本文以盆地内武乡区块Y井二叠系山西组泥页岩为研究对象,通过XRD、高压压汞和低温液氮吸附等实验手段对泥页岩孔隙结构特征及分形特征进行了研究。结果表明,Y井山西组泥页岩的矿物组成以黏土矿物和石英为主;泥页岩中小于50 nm的孔隙大量发育,结构形态上以狭缝平板型孔隙和"细瓶颈"孔隙为主;泥页岩样品吸附曲线呈倒S型,属于Brunauer分类方案中的Ⅱ型曲线,其脱附曲线属于IUPAC分类方案中的H2型(兼具H1型及H3型),属De Boer分类方案中的B型(兼具E型及C型); Y井山西组泥页岩分形维数接近3,非均质性较强,矿物成分、总孔体积、平均孔径和TOC含量是影响泥页岩分形维数的重要因素。     

基于分形几何理论的DFN模型构建方法研究

以重庆梁-忠（梁平县-忠县）高速公路礼让隧道为工程研究背景,通过测线法调查现场节理,获得了节理产状分布概率密度函数,并从分形几何学的角度分析了节理间距及迹长的分形分布规律,推导出能反映节理间距及迹长分布状态的分形维数D及分形分布概率密度函数。在该基础上采用Matlab软件以及Monte-Carlo随机分析方法,产生节理参数随机数,结合3DEC中最新模块离散裂隙网络(DFN)技术,建立了能反映节理裂隙分布特征的离散裂隙网络模型并验证了模型的有效性,结果表明,分形分布比负指数分布包含更多的间距、迹长分布信息,更接近于实际分布;分形维数D反映了节理间距、迹长在其变化范围内的分布特征,分形维数的大小取决于小间距、小迹长部分数量在总节理数量中的比例,为节理裂隙岩体网络模型构建提供了一种新方法。     

我国几次大震及震群活动的时间分维特征

本文根据Mandellrot提出的分维理论,对我国三次大震及四次震群活动的时间分维进行了研究,得到如下结论:1.时间分维的总体特征:大震前分维较低,震后分维升高。2.时间分维的动态变化特征:火震前的分维呈现一总趋势的降维过程,且幅度较大;而震群的时间分维变化较平稳。3.对同一地震序列,起始震级愈低,计算出的分维值愈高;起始震级愈高,计算出的分维值愈低。笔者认为,地震序列起止时间的选取对计算时间分维会产生较大影响。     

蒸发波导环境下风浪对电磁波传播影响的数值模拟研究

蒸发波导是一种特殊的大气波导,在其中传播的电磁波信号会被陷获在近海大气层中,实现超视距传播。受海表面温度、湿度、风速、微波频率等因素的影响,海洋蒸发波导环境中的微波传播特性起伏变化很大,规律十分复杂。以往的工作主要通过计算这些气象因素对蒸发波导条件下大气折射率剖面的影响来分析它们对路径损失的作用,其结果与实验数据仍有较大差异。本文在一定的蒸发波导条件下,利用一维分形海面模型产生海面"地形",将其作为抛物方程电磁波传播模型的边界条件进行计算,得到相应的路径损失,并与传统计算方法进行对比,分析了不同蒸发波导高度、不同频率及不同接收天线高度时的数值模拟情况,可为舰艇通信系统或者雷达系统的设计提供相应的依据。     

Dimension and entropy in the soil-covered landscape

Both the Hausdorff dimension and the K-entropy supply a measure of the irregularity of the landspace surface. The relationship between the two measures is investigated over a variety of terrains in Britain and a method of calculating the entropy is checked against an independent estimate of the dimension with reasonable agreement. The calculation of the K-entropy requires that the landscape surface be represented by an homogenous ergodic random field. This condition is satisfied by the tendency of soil-covered terrains to progressively approximate to a form well represented by a Gaussian field. Gaussian random fields can either be very smooth, possessing derivatives of all orders at every point or they are highly irregular and non-differentiable everywhere. Within the regular conceptualization the Rice-Kac theory is used to predict the numbers of crossing points and the extent of excursion sets. These predictions are tested against an example terrain from the High Weald of East Sussex with very good agreement, apart from predictions of local maxima. A worked example of the calculation of the K-entropy is given as an appendix. The potential role of information theory in geomorphology extends beyond the use made of entropy in this investigation. In particular ergodic theory has important practical and theoretical implications.     

断裂对地下水力扩散的影响及其与诱发地震关系的讨论

本文重点讨论了断裂规模、断裂相交网络和断裂力学的性质对地下水力扩散的影响,及其与诱发地震的关系。指出断裂密集成带的地方,水力扩散大。根据流体流动规律,水力扩散沿断裂方向流体流速大,断裂越长越深,沿断裂方向水力扩散距离就越大。而水力扩散随深度的变化,由于不同深度上岩性变化和应力状态的不同,有的深度上的岩类可能出现扩容而增大水力扩散。因此它并不是随围压的增大而单值地减少。 文章指出断裂的末端和断裂的交汇处是地下水富集的地方,在水富集地方的四周,水力扩散比其它地方要大。另外现代活动的张性和张扭性断裂比压性和压扭性断裂的水力扩散大。文章还提出水沿断裂扩散是水库诱发地震的直接原因。水力扩散大的断裂,水库诱发地震的可能性大,规模大而活的断裂诱发地震的震级可能大。     

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。     

Fractal properties of simulated bed profiles in coarse-grained channels

Bed roughness characteristics in coarse-grained channels are fairly complex. A hierarchy of roughness elements can be observed, ranging from variable particle sizes and shapes and small-scale sedimentary structures, to large-scale bedforms such as riffle-pool sequences. The effects of these scales of roughness on the flow geometry still remain to be thoroughly investigated. The semivariogram has been suggested in the past as a means of quantifying bed roughness effects on streamflow, as well as for distinguishing between scales of roughness. However, field measurements are rather time-consuming. The low number of bed profiles measured in the field precludes the identification of generally applicable relationships between the statistical properties derived from the semivariograms (such as the Hausdorff dimensions and the scale of autocorrelation corresponding to each fractal band) and the bed configuration itself (geometrical and sedimentological properties). Simulation results of gravel-bed profiles are, therefore, presented in order to complement the original investigation of Robert (1988a). The simulation experiments, based on grain characteristics of sizes and shapes and on morphological properties of small-scale bedforms, yield very significant information on boundary roughness at the microscale and give insight into the interpretation of empirical semivariograms (derived from field measurements). Bed-material sorting, variable grain shapes, and height and spacing of cluster bedforms control the fractal dimensions obtained from the semivariograms, as well as the location of the break of slope and the range of the process.