Size and spatial distribution of loess slides on the Chinese Loess Plateau     

Haijun Qiu  Sheng Hu  Xingang Wang  Dongdong Yang  Yanqian Pei  Shuyue Ma 《自然地理学》2020,41(2):126-144

ABSTRACT

The size and spatial distribution of loess slides are important for estimating the yield of eroded materials and determining the landslide risk. While previous studies have investigated landslide size distributions, the spatial distribution pattern of landslides at different spatial scales is poorly understood. The results indicate that the loess slide distribution exhibits a power-law scaling across a range of the size distribution. The mean landslide size and size distribution in the different geomorphic types are different. The double Pareto and inverse gamma functions can coincide well with the empirical probability distribution of the loess slide areas and can quantitatively reveal the rollover location, maximum probability, and scaling exponents. The frequency of loess slides increases with mean monthly precipitation. Moreover, point distance analysis showed that > 80% of landslides are located < 3 km from other loess slides. We found that the loess slides at the two study sites (Zhidan and Luochuan County) in northern Shaanxi Province, China show a significant clustered distribution. Furthermore, analysis results of the correlated fractal dimension show that the landslides exhibit a dispersed distribution at smaller spatial scales and a clustered distribution at larger spatial scales.  相似文献   

Stroke构造、移位一体化的道路网示意化方法     

付仲良  翁宝凤  胡玉龙 《测绘学报》2016,45(9):1115-1121

针对当前常用示意性地图生成方法中往往存在简化程度不够、未考虑长度信息以及时间效率低等问题,提出了stroke构造、移位一体化的道路网示意化方法。该方法在对道路网进行stroke划分构造的同时,直接对其进行渐进式的移位示意化及拓扑检查。同时本文还提出利用相似分形维数来定量比较并验证不同示意化方法的有效性。试验表明,本算法在考虑原始线形的基础上,示意化过程简单,时间效率较高,减少了拓扑冲突问题,保证了拓扑一致性及路网的均衡分布,具有较好的清晰度和认知度。  相似文献   

分形分维理论在地质灾害发育及空间分布规律中的应用——以长安区滑坡、崩塌地质灾害为例   总被引：1，自引：0，他引：1  

滕宏泉  谢婉丽  盖海龙  葛瑞华  郭倩怡 《地质灾害与环境保护》2016,(1):44-50

长安区区内地层岩性、地质构造多样,加之人类经济工程活动、降雨、地震等诱发影响,秦岭北坡及黄土台塬边缘滑坡崩塌地质灾害发育,是陕西省地质灾害较严重的县(区)之一。本文以长安区为研究区域,在对长安区自然地理及区域地质环境条件等资料充分收集的基础上,结合长安区滑坡崩塌灾害点的实际调查资料,详细分析了长安区的滑坡崩塌灾害发育特征及空间分布规律,并采用网络覆盖法,对长安区滑坡崩塌地质灾害的空间分布进行了分形分维计算。求得地质灾害的空间分布分维值为0.876 6,反应出长安区滑坡崩塌地质灾害空间分布特性的复杂性。研究结果表明,分形分维理论能合理评价地质灾害空间分布特征,对类似地区的地质灾害空间分布特征分析具有借鉴意义。  相似文献   

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     

《Marine and Petroleum Geology》2016

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.  相似文献   

冻融循环下含节理类岩石试样剪切破坏特性     

徐新木  张耀平  付玉华  雷大星  邹雄刚 《吉林大学学报(地球科学版)》2021,51(2):483-494

为探究冻融循环对节理岩石抗剪力学特性的影响,针对冻融循环前后不同连通率节理岩石试样进行剪切特性试验,探究了节理试样的剪切破坏机制,对比分析了冻融前后节理试样抗剪强度的衰减趋势,分析了黏聚力及内摩擦角随岩石试样剪切破坏面分形维数的变化规律。结果表明：随冻融循环次数的增加,节理试样剪切应力-位移曲线发生显著变化,峰值剪应力出现明显下降,黏聚力及内摩擦角对比冻融前试样出现明显劣化,并且随节理试样连通率的增加,劣化程度加剧;在节理连通率相同时,随冻融循环次数的增加,剪切破坏面的分形维数呈现近指数函数递增的趋势,随分形维数的增加,节理试样的黏聚力损伤因子、内摩擦损伤因子也呈现指数函数增加的趋势;在冻融循环次数相同时,内摩擦角损伤因子随节理连通率的增大呈先减小后增大的趋势,而黏聚力损伤因子在冻融循环次数为30次前后分别呈递增和先减后增的趋势。  相似文献   

广西大瑶山西北地区构造分形与成矿预测     

蒋超  李社宏  付嵩  谢卓麟  廖红为 《地球学报》2021,42(4):514-526

本文针对大瑶山西北地区断层和石英脉热液型矿床丰富的特点,以及该区热液矿床成矿是否存在断裂构造分维临界线.采用较高标度的断裂构造分形分维分析(r=5～0.3125 km),研究矿体产状与矿区断裂产状的关系,结合Fry分析综合预测该区成矿潜力.研究区断裂构造分维值为D=1.6897,南北向断裂构造分维值D=1.2947,北东向断裂构造分维值D=1.4593,东西向断裂构造分维值D=1.0250,北西向断裂构造分维值D=1.2003.我们确定研究区热液矿床成矿存在断裂构造分维临界线,研究区成矿预测分维临界线为D=1.5000～1.8000,铅锌矿成矿预测分维临界线为D=1.6000～1.7400,铜矿成矿预测分维临界线为D=1.5000～1.7000,金矿成矿预测分维临界线为D=1.6400～1.8000,重晶石成矿预测分维临界线为D=1.6000～1.7400.矿体严格受到断裂构造的控制,主要的容矿构造为南北向和北东向断裂构造.综合分析后,我们认为该区铜矿床总体沿北东向分布,金矿沿南北向分布,铅锌矿沿南北向分布.按照矿产分布特征,我们预测了6个成矿靶区.  相似文献   

Preconditioned IDR(s) iterative solver for non‐symmetric linear system associated with FEM analysis of shallow foundation     

H.H.T. Tran  K.C. Toh  K.K. Phoon 《国际地质力学数值与分析法杂志》2013,37(17):2972-2986

Non‐associated flow rule is essential when the popular Mohr–Coulomb model is used to model nonlinear behavior of soil. The global tangent stiffness matrix in nonlinear finite element analysis becomes non‐symmetric when this non‐associated flow rule is applied. Efficient solution of this large‐scale non‐symmetric linear system is of practical importance. The standard Krylov solver for a non‐symmetric solver is Bi‐CGSTAB. The Induced Dimension Reduction [IDR(s)] solver was proposed in the scientific computing literature relatively recently. Numerical studies of a drained strip footing problem on homogenous soil layer show that IDR(s = 6) is more efficient than Bi‐CGSTAB when the preconditioner is the incomplete factorization with zero fill‐in of global stiffness matrix K_ep (ILU(0)‐K_ep). Iteration time is reduced by 40% by using IDR(s = 6) with ILU(0)‐K_ep. To further reduce computational cost, the global stiffness matrix K_ep is divided into two parts. The first part is the linear elastic stiffness matrix K_e, which is formed only once at the beginning of solution step. The second part is a low‐rank matrix Δ, which is re‐formed at each Newton–Raphson iteration. Numerical studies show that IDR(s = 6) with this ILU(0)‐K_e preconditioner is more time effective than IDR(s = 6) with ILU(0)‐K_ep when the percentage of yielded Gauss points in the mesh is less than 15%. The total computation time is reduced by 60% when all the recommended optimizing methods are used. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

CP准晶结构模型的Hausdorff维数计算     

陈敬中  杜伯仁 《地球科学》1989,14(3):253-258

  相似文献   

Fractal reconstruction of sea-floor topography     

Jean-Claude Mareschal 《Pure and Applied Geophysics》1989,131(1-2):197-210

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.  相似文献   

Dimension and entropy in the soil-covered landscape   总被引：2，自引：0，他引：2  

W. E. H. Culling 《地球表面变化过程与地形》1988,13(7):619-648

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.  相似文献