Power Law Distribution of Broadband Radiated Energy for Global Seismicity

The claim that there exists a transition of earthquake energy distribution between small and large earthquakes is checked using broadband radiated energy of earthquakes for global seismicity. Scattering of the relation between the magnitude and the broadband radiated energy makes it necessary to use the energy data directly. Rank-ordering statistics is applied to enhance the resolution in retrieving the power law distribution with undersampled data, namely, a few tens of events. Seen in the perspective of broadband radiated energy with higher resolution, there is no evidence for the kink in the frequency-energy distribution for large and small earthquakes. Instead, a single power law can well explain the data. For earthquakes with energy larger than 10~(14) J, we find that the number N of events with energy E depends on E via N ∝ E-B, with the scaling constant B = 0.64 ± 0.04, corresponding to b = 0.95± 0.06.     

GIS支持下的东川区泥石流危险度区划

在建立东川区泥石流信息系统的基础上,根据泥石流形成原因,初步选择面积、相对切割度、主沟沟床比降、相对高差、主沟长度、圆状率作为评价指标,利用东川区21条典型泥石流沟的数据,通过主成分分析,选择出面积、圆状率、相对高差三个指标,由主成分载荷得到危险度评价公式,在ARC／INFO和ARCVIEW软件的支持下,把东川区划分为60个评价单元,计算出各个单元内的危险度总分值,依据分值划分为四个级别,重度危险区、危险区、轻度危险区和基本无危险区,最后根据泥石流危险度区划原则,得到东川区泥石流危险度区划图。     

Landslide and basin self-organized criticality in the Lushan Hot Spring area

Defining a basin under a critical state(or a self-organized criticality) that has the potential to initiate landslides,debris flows,and subsequent sediment disasters,is a key issue for disaster prevention.The Lushan Hot Spring area in Nantou County,Taiwan,suffered serious sediment disasters after typhoons Sinlaku and Jangmi in 2008,and following Typhoon Morakot in 2009.The basin’s internal slope instability after the typhoons brought rain was examined using the landslide frequency-area distribution.The critical state indices attributed to landslide frequency-area distribution are discussed and the marginally unstable characteristics of the study area indicated.The landslides were interpreted from Spot 5 images before and after disastrous events.The results of the analysis show that the power-law landslide frequency-area curves in the basin for different rainfall-induced events tend to coincide with a single line.The temporal trend of the rainfallinduced landslide frequency-area distribution shows 1/f noise and scale invariance.A trend exists for landslide frequency-area distribution in log-log space for larger landslides controlled by the historical maximum accumulated rainfall brought by typhoons.The unstable state of the basin,including landslides,breached dams,and debris flows,are parts of the basin’s self-organizing processes.The critical state of landslide frequency-area distribution could be estimated by a critical exponent of 1.0.The distribution could be used for future estimation of the potential landslide magnitude for disaster mitigation and to identify the current state of a basin for management.     

高烈度地震区岩土体边坡崩塌动力学特性研究

"5·12"汶川特大地震引发的次生山地灾害中以山体崩塌数量最多.本文在对国道213线都江堰至映秀段以及水磨支线公路边坡地震崩塌调查研究的基础上,分析总结了岩土体边坡的崩塌成灾模式、崩塌作用机理以及崩塌自组织临界(SOC)动力学特性.调查范围包括Ⅸ～Ⅺ度地震区,工点105个.对崩塌体方量、崩塌深度进行统计分析后发现,在Ⅸ度区崩塌体方量和崩塌深度都符合负幂律分布,呈现出明显的自组织临界动力学特性;而Ⅹ、Ⅺ度地震区不呈现该崩塌特性,其崩塌动力学性质受地震的强扰作用控制.     

作为CAS的复杂城市地理系统的SOC性质

将城市作为复杂适应性系统(CAS)研究其自组织临界性(SOC)具有重要的理论意义和实践价值,这方面的探索工作刚刚开始。本文从城市的地理空间角度出发,论证城市是一种复杂适应性系统。城市在本质上是不可还原的,我们可以根据积木的机制将城市分解,但分解的结果对解释城市的复杂行为丝毫没有帮助。由于城市和城市体系都具有分形结构、服从Z ipf定律,且具有1/f噪声的特征,由此判断城市地理系统具有自组织临界性质。自组织临界性与复杂性适应性立论的视角不同,但可以统一于“混沌的边缘”这一概念。     

地质系统的复杂性—地质科学的基本问题(Ⅰ)

笔者根据其所提出的“地质作用与时空结构是一切地质现象的本质与核心”的自然哲学理念将地质科学的学科体系划分为地球物质的成分与结构、地质作用、地质学场与地质系统的演化等四大基本领域, 它与9个重大基础地质问题以及与其相关的基础理论问题相对应(表 2).笔者将其已发表的地质科学的复杂性理论“地质作用的临界过程动力学——地质系统在混沌边缘分形生长”应用于研究9个重大基础地质问题, 着重对于其中所包含的主要基础理论问题的实质及其理论与研究方法作较深入而简要的剖析.目的是通过将地质系统的复杂性作为地质科学的基本问题的新视角对古老而常新的地质科学进行再认识, 将重大基础地质问题的研究提高到非线性科学和复杂性理论的层次, 并实现地质科学向精确科学的跨越, 取得突破性进展      

地质作用的自组织临界过程动力学——地质系统在混沌边缘分形生长(下)

笔者对复杂性科学中的自组织临界性、瞬态混沌、混沌边缘和弱混沌四大理论和研究领域就其发展现状和最近动态作系统和深入的剖析后得出结论 ,认为以上四者是对自然界中开放、远离平衡、相互作用的巨大耗散动力学系统的时空演化这个统一事物的本质的面面观。笔者进一步将四者的相互关系归纳成一个重要的命题 :自然界中开放、远离平衡、相互作用的巨大耗散动力学系统的时空演化服从“自组织临界过程动力学” ,并且系统“在混沌边缘分形生长”。地质系统是自然界中的一种既十分重要 ,又异常复杂的开放、远离平衡、相互作用的巨大耗散动力学系统。它具有自组织临界性的内禀基本属性。它的时空行为服从地质作用的自组织临界过程动力学。地质系统位于有序和混沌之间的过渡时空域 ,即混沌边缘 ,其中系统呈规则与混沌运动并存和混合的弱混沌动力学状态 ,并且地质系统在混沌边缘分形生长。将上述命题演绎和整合成一种广泛适用于地质系统的地球科学的复杂性理论 ,名之为 :“地质作用的自组织临界过程动力学———地质系统在混沌边缘分形生长” ,并将其内容归纳成 6部分 :(1)自组织临界性、瞬态混沌、混沌边缘和弱混沌 ,(2 )多组分的耦合与相互作用及其相干与协同 ,(3)演化过程的分形动力学 ,(4 )作用的时空结构 ,(     

Applying multifractality and the self‐organized criticality theory to describe the temporal rainfall regimes in Andalusia (southern Spain)

A multifractal analysis of hourly and daily rainfall data recorded at four locations of Andalusia (southern Spain) was carried out in order to study the temporal structure of rainfall and to find differences between both time resolutions. The results show that an algebraic tail is required to fit the probability distribution of the extreme rain events for all the cases. The presence of a multifractal phase transition associated with a critical moment in the empirical moments scaling exponent function was also detected. Both facts indicate that the rainfall process is a case of self‐organized criticality (SOC) dynamics, although the results differ for each place according to the time resolution and the nature of the rainfall, either convective or frontal. This SOC behaviour is related to a statistically steady state that implies the presence of clusterization in the time‐occurrence sequence of rain events. Such fluctuations have been shown by performing the analysis of the Fano and Allan factors and the count‐based periodogram. The values for the “synoptic maximum”, the typical lifetime of planetary scale atmospheric structures, have been obtained for each place and some important periodicities have been detected when dealing with extremes. Copyright © 2007 John Wiley & Sons, Ltd.     

Complexity and Self-Organized Criticality of Solid Earth System(Ⅱ)

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Variability of sedimentary sequence: numerical modeling of the deposition-erosion process

Reinterpretation of field studies of bedload transport allowed some power-law relations to be obtained between different quantities. They were taken as a basis for the construction of a numerical model simulating bedload transport. The deposition-erosion process is presented as a sequence of individual events with intensities distributed according to a power law, characteristic of the regime of self-organized criticality. The model output (sedimentary cross sections with the model age of each of its elements) is rich in features resulting from the non-linearity of the underlying process. Analysis of the results of a series of numerical experiments provided an estimation of scale invariance of model sedimentary structures in space and time. These data are tested against observed regularities of spaciotemporal variability of real sedimentary sequences. Good agreement of these data makes it possible to extrapolate the scaling relations obtained to larger scales.