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甘肃中部及邻区水系分形研究结果与滑坡分布的关系 总被引：4，自引：0，他引：4
本文用分形几何学理论对甘肃中部及其邻近地区进行了水系分析，发现分维值的大小反映了研究区内发生滑坡灾害的程度。研究结果表明，不同区域水系的分维值与滑坡的分布数量非常吻合。由此可见，水系分形研究对区域性滑坡灾害的危险度判定有一定的实际意义。 相似文献
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地应力对裂隙岩体渗透特性的影响 总被引：9，自引：0，他引：9
提出了地应力场中岩体不连续面变形的本构关系，讨论了渗流与应力耦合条件下裂隙岩体渗透张量的计算方法，阐述了地应力对裂隙岩体渗透特性的影响．研究表明，地应力对岩体渗透特性的影响主要是通过改变不连续面的开度和不连续面网络的水力传导路径而产生的；裂隙岩体渗透性随岩体埋深的增加呈负指数减小，随侧压系数的增大呈双曲线减小．渗流场与应力场的耦合理论可望应用于水库诱发地震的研究中 相似文献
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应用大地电场岩体裂隙模型,对中国大陆主要块体内电磁环境、装置系统较好的40个台站进行分析,发现80%场地岩体裂隙结构处于发育阶段、15%场地裂隙处于排列有序的长大阶段、5%场地岩体较破碎,这些不同阶段的岩体裂隙结构对应着不同的大地电场幅度、方向变化特征.通过对2013年至2018年3月中国大陆6次典型震例解析,发现在强震震中200km范围内,岩体裂隙处于长大或发育好的场地较集中,而且这些场地在强震前更容易发生岩体剪裂、裂隙优势方位偏转和大幅度突跳等结构变异,200km外场地裂隙优势方位多发生突跳现象.总体上,这些现象还具有时间准同步性、场地选择性特点. 相似文献
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地表的断裂分布具有复杂的几何结构，分形几何学是定量研究断裂复杂性和破碎性的一种数学方法，本文应用分维几何学的方法，在比例尺为1：50万的山东省构造体系图上，对沂沭断裂带（山东段）（以下简称沂沭带）断层系统进行了分段解析、计算，并得到了各段的分维值。沂沭带全带断层的分维值为1.34，南段分维值为1.29，北段分维值为1.41，结果表明，分维可以表征断层的不均匀性、不规则性和复杂性等。与沂沭带地震活动南高北低情况对比认为，断层系统分维低的地区地震活动性可能较高。 相似文献
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玛纳斯地震前后地震活动信息熵及分维的动态变化 总被引：3，自引：0，他引：3
根据耗散结构理论及Mandelbort提出的分形几何学观点,研究了玛纳斯5.8级地震前后地震(M_s≥1.5)序列的时空分布特征、地震活动信息熵及分维的动态变化。发现玛纳斯5.8级地震前存在减熵和降维。认为,地震熵或分维可以定量描述地震时空分布变化过程,并量度变化过程从无序向有序的演化。 相似文献
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利用地震属性技术研究岩溶裂隙发育带 总被引：2，自引：0，他引：2
利用地震属性技术,从三维地震数据体中提取对岩溶裂隙发育带相关的二维分形参数,预测岩溶裂隙发育带、奥灰顶部岩层的富水性以及有关的水文地质条件,为高产高效矿井地质保障系统提供依据。通过许厂煤矿430采区实际资料的检验,预测的地质效果良好。 相似文献
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介绍了“中国大陆构造环境监测网络”（简称“陆态网络”）重力观测体系。从分形几何学角度研究了陆态网络重力测网的分形特征,计算得到测网分维数Df=1.5598、最佳网格化间距r=139km。综合测网分维数与重力时变距、重力异常范围、测网范围等量化指标,对陆态网络重力测网的地震监测能力进行分析,结果表明,测网最佳网格化间距等特征值与MS6.0地震引发的重力场变化区域的特征异常区半径等统计量化指标接近,具备监测我国除边界及藏北无人区以外大陆区域的MS6.0及以上地震的能力。 相似文献
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We present a case of detailed analysis of fracture arrays spanning four orders of magnitude in length; all of them measured at a single natural site by acquiring images at progressively larger scales. There is a high dispersion of cumulative-length exponents, box dimensions and fracture densities. However, the fractal analysis supports the fractal nature of fracture arrays. Our data indicate the existence of an upper limit for the density parameters, as similarly reported by other authors. We prove that box dimension is in inverse relation with fracture concentration and in direct relation with fracture density. These relations are also observed in our data and additionally there is an upper limit for the box dimensions. We interpret the dispersion in our results as more fundamental than methodological problems. It represents a truncation in the complete evolution of the fracture systems because in natural cases strain initiates overprinting of previous fracture arrays. Considering that larger fractures accommodate strain more efficiently than small fractures, the generation of small fractures is inhibited in the presence of pre-existing larger fractures. Maximum values of fracture density prevent accommodating an excess of strain in a single or restricted range of scales; we claim this condition produces migration of fracturing to larger scales originating fracture scaling. 相似文献
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Natural fracture patterns of producing geothermal formations in south-western Turkey are mapped at different scales. The fractal dimensions of different fracture network properties, such as spatial distribution, density, connectivity, orientation, and length are measured by different methods. Analysis of the natural fracture patterns from giga to microscales identifies the descending behavior of box-counting fractal dimension with respect to the scale. It is observed that the fracture networks represent scale-invariant properties, but fractal dimensions might notably differ when the mass dimension is measured applying different methods. Anisotropic nature of fracture networks is also included in the fractal analysis. 相似文献
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SPATIAL DISTRIBUTION AND FRACTAL STRUCTURE OF AE FOCUSES OF INADA GRANITE UNDER TRIAXIAL COMPRESSION
An experimental study on the spatial distribution of the focuses of acoustic emissions of Inada granite (coarse grained granodiorite) under triaxial compression is reported in this paper. It is pointed out that AE locations is fractal with a dimension of 2.2 in average, lower than the result of Oshima granite (fine grained granodiorite), which is 2.7, under similar deformation condition. For Inada granite a band-limited fractal had been observed. Fractal dimension changed around grai 相似文献
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The fractal geometry of flow paths in natural fractures in rock and the approach to percolation 总被引：2，自引：0，他引：2
The distributions of contact areas in single, natural fractures in quartz monzonite (Stripa granite) are found to have fractal dimensions which decrease fromD=2.00 to values nearD=1.96 as stress normal to the fractures is increased from 3 MPa up to 85 MPa. The effect of stress on fluid flow is studied in the same samples. Fluid transport through a fracture depends on two properties of the fracture void space geometry. the void aperture; and the tortuosity of the flow paths, determined through the distribution of contact area. Each of these quantities change under stress and contribute to changes observed in the flow rate. A general flow law is presented which separates these different effects. The effects of tortuosity on flow are largely governed by the proximity of the flow path distribution to a percolation threshold. A fractal model of correlated continuum percolation is presented which quantitatively reproduces the flow path geometries. The fractal dimension in this model is fit to the measured fractal dimensions of the flow systems to determine how far the flow systems are above the percolation threshold. 相似文献
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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。 相似文献
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结合有限差分方法和等效介质理论,模拟了离散分布裂缝介质中地震波的传播. 基于等效介质理论,利用二维有限差分实现封闭裂缝的离散分布;裂缝可以处理成固体岩石中的高度柔性界面,并可以用线性滑动或者位移间断模型进行裂缝的物理描述. 对于含有多组裂隙的破裂固体,其有效柔度可以认为是固体骨架背景柔度和裂缝附加柔度之和. 在一阶近似条件下,固体骨架和裂缝参数可以通过有效各向异性系数联系起来,有效各向异性系数决定了各向异性（裂缝效应）对于地震波传播的影响. 通过与射线理论方法的对比检验,说明本文提出的模拟方法的有效性,并通过几个数值算例说明本方法可有效模拟不同的裂缝分布效应. 结果表明,即使在裂缝密度很小的情况下,具有相同裂缝密度的不同的空间分布可以产生不同的波场特征. 同时,也验证了不同裂缝尺度对波长的不同影响,以及裂缝尺度具有幂率分布（分形）时,尺度对波场的影响. 最后得出结论：在运用建立在等效介质理论基础上的地震各向异性概念来描述裂缝固体的特征时,要倍加小心,等效介质理论中尚未合理处理的裂缝尺度和空间分布对波的传播特征具有重要的影响. 相似文献
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Noelle E. Odling 《Pure and Applied Geophysics》1992,138(1):95-114
The influence that fractures exert on the permeability of a fractured rock is, to a large extent, controlled by the nature of the network formed by the fracture system. Here, the network properties of a two-dimensional natural pattern, mapped from the surface of a sandstone layer, are investigated and compared to those of realizations of spatially randomly distributed line segments with similar orientation and length distributions and line segment density (line length per unit area) to the natural pattern. These patterns are composed of clusters of varying size and shape, made up of interconnected fracture traces or line segments. Comparing the natural pattern with the realizations, the natural pattern was found to contain roughly half the number of clusters while the mass (total line length) of the largest cluster is approximately double that of the realizations. The size of the largest cluster controls the connectivity of the patterns, as can be seen by comparing the largest cluster of the natural pattern, which connects all four sides of the region, with those of the realizations, which are unconnected or connect only two sides. Cluster scaling characteristics were found to be similar in the natural pattern and the realizations and show a crossover from a dimension of one (their topological dimension) to two (the dimension of the embedding medium) at a point that corresponds to the fracture spacing. An investigation of the self-similarity dimension, using the box-counting method, showed similar characteristics with a broad transition zone between one- and two-dimensional behaviour at smaller box sizes. The patterns are therefore found to be non-fractal. The effect of the spatial distribution shown by the natural pattern is thus to modify the manner in which fractures are distributed among clusters, increasing connectivity (and permeability in the case of open fractures), but does not affect the cluster scaling characteristics or the self-similarity dimension of the fracture patterns. 相似文献
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本文研究了岩石分形断裂的统计理论.认为岩石断裂是岩石内部微裂缝成核、形成和传播的非平衡过程,导出了描述这个过程的微分方程.运用位错塞积成核机理,得到了岩石发生分形断裂的微裂缝大小的统计分布函数和平均长大速率.从理论上得出了岩石非弹性体积应变与微裂缝数目成正比,从而解释了实验室研究的结果.另外发现岩石的分维是决定岩石脆性的一个重要因素,分维值愈小,岩石愈脆.但岩石的分维值与岩石强度无明显关系.最后,从微裂缝大小的统计分布函数出发,导出了b值与岩石分维值的关系. 相似文献
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David B. Loope Garrison R. Loope Caroline M. Burberry Clinton M. Rowe Gerald C. Bryant 《地球表面变化过程与地形》2020,45(9):2063-2077
Deep (> 5 m) sheeting fractures in the Navajo sandstone are evident at numerous sites in southern Utah and derive from tectonic stresses. Strong diurnal thermal cycles are, however, the likely triggers for shallow (< 0.3 m) sheeting fractures. Data from subsurface thermal sensors reveal that large temperature differences between sensors at 2 and 15 cm depth on clear summer afternoons are as great as those that trigger sheeting fractures in exposed California granite. Extensive polygonal patterns in the Navajo sandstone are composed of surface-perpendicular fractures and were produced by contractile stresses. Numerous studies have shown that porewater diminishes the tensile strength of sandstone. Based on our thermal records, we propose that cooling during monsoonal rainstorms triggers polygonal fracturing of temporarily weakened rock. On steep outcrops, polygonal patterns are rectilinear and orthogonal, with T-vertices. Lower-angle slopes host hexagonal patterns (defined by the dominance of Y-vertices). Intermediate patterns with rectangles and hexagons of similar scale are common. We posit that outcropping fractures are advancing downward by iterative steps, and that hexagons on sandstone surfaces (like prismatic columns of basalt) have evolved from ancestral orthogonal polygons of similar scale. In lava flows, fractures elongate intermittently as they follow a steep thermal gradient (the source of stress) as it rapidly moves through the rock mass. In our model, a steep, surficial thermal gradient descends through unfractured sandstone, but at the slow pace of granular disintegration. Through time, as the friable rock on stable slopes erodes, iterative cracking advances into new space. Hexagonal patterns form as new fractures, imperfectly guided by the older ones, propagate in new directions, and vertices drift into a configuration that minimizes the ratio of fracture length to polygon area. © 2020 John Wiley & Sons, Ltd. 相似文献
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A conceptual model for describing effective saturation in fractured hard rock is presented. The fracture network and the rock matrix are considered as an equivalent continuum medium where each fracture is conceptualized as a porous medium of granular structure and the rock matrix is assumed to be impermeable. The proposed model is based on the representation of a rough‐walled fracture by an equivalent porous medium, which is described using classical constitutive models. A simple closed‐form equation for the effective saturation is obtained when the van Genuchten model is used to describe saturation inside fractures and fractal laws are assumed for both aperture and number of fractures. The relative hydraulic conductivity for the fractured rock is predicted from a simple relation derived by Liu and Bodvarsson. The proposed constitutive model contains three independent parameters, which may be obtained by fitting the proposed effective saturation curve to experimental data. Two of the model parameters have physical meaning and can be identified with the reciprocal of the air entry pressure values in the fractures of minimum and maximum apertures. Effective saturation and relative hydraulic conductivity curves match fairly well the simulated constitutive relations obtained by Liu and Bodvarsson. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献