A physical statistical approach to erosion

Erosion is a complex process consisting of many components such as surface runoff, impact of raindrops, wind forces, soil and rock mechanics, etc. Trying to integrate all these processes into a physical model seems to be hopeless. In order to understand the variety of natural shapes and patterns produced by erosion we present an integrated statistical approach. Our model is based on simple physical constraints for the separation of amalgamated particles (abrasion) and for the movement of loose particles (denudation) and on the laws of statistics. After some simplifications, we obtain a nonlinear system of partial differential equations which is solved using finite volume techniques. The model is suitable for the formation of different types of rill systems and the episodic behaviour of erosion processes, a kind of self-organized criticality. Besides effects of inhomogeneities, e.g. the formation of terraces can be investigated.     

不同土地利用方式下的七里海湿地临界评价研究

在"湿地临界"概念的基础上,定性分析了湿地利用与保护的平衡状态,探讨了不同利用方式下的湿地临界的研究步骤,并从基于耕地和河蟹养殖地两种土地利用方式入手,对七里海湿地临界进行了评价。研究表明,通过建立湿地临界模型,从经济效益评价和生态效益的评估入手,对湿地资源利用与保护进行临界分析,可以较好的反映湿地利用的临界状态;采用该方法,七里海湿地耕地利用的年净收益为9 5941.42元/hm2,净损耗为18 072.75元/hm2,临界效益(△B)值为77 868.67元/hm2;养殖河蟹的年净效益为21 622.68元/hm2,净损耗为2 0274元/hm2,△B值为1 348.68元/hm2,说明在目前的社会经济发展水平下,耕地和养殖河蟹两种利用方式尚未超出开发利用的临界准则,七里海湿地仍然具有开发潜力。     

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      

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.     

城市人口分布空间自相关的功率谱分析

从理论上可以证明标准的城市人口密度负指数距离衰减模型本质上是一种空间相关函数,基于这种思想对Clark模型进行Fourier变换,可以导出城市人口密度的幂次频谱分布,且功率谱指数理应为β=2±。负指数与幂指数的这种变换关系暗示了城市地理系统简单与复杂的辩证关系。借助中国杭州市4年的人口普查资料转换的平均人口密度分布数据对上述推论进行检验,发现β渐进式趋近于2但并不约等于2。将β值进一步换算为人口过程的分维D和Hurst指数H,结果表明：城市人口具有长程负相关作用,但这种空间作用显示明确的局域化倾向。目前的城市形态演化模拟几乎无一例外地引入了长程作用,根据杭州人口分布的局域化特征,有关地理长程作用的假设和应用有必要重新探讨。     

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。     

Mean slope-angle frequency distribution and size frequency distribution of landslide masses in Higashikubiki area, Japan

Landslide mass size frequency distributions and mean slope-angle frequency distributions were calculated for slump, slide, and creep type landslides in the Higashikubiki area. Mean slope-angle frequency distributions closely approximated Weibull distributions. Size frequency distributions show power-law dependencies. Both can be explained by modeling landslides as linked uniform blocks in tensile force. Power coefficients for size frequency distributions were 2.01–2.32 (approximation to power functions) or 2.10–2.24 (approximation to Pareto distributions).     

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Scale Invariances in the Morphology and Evolution of Braided Rivers

This paper presents an overview and synthesis of an extensive research effort to characterize and quantify scale invariances in the morphology and evolution of braided rivers. Braided rivers were shown to exhibit anisotropic spatial scaling (self-affinity) in their morphology, implying a statistical scale invariance under appropriate rescaling of the axes along and perpendicular to the main direction of flow. The scaling exponents were found similar in rivers of diverse flow regimes, slopes, types of bed material and braid plain widths, indicating the presence of universal features in the underlying mechanisms responsible for the formation of their spatial structure. In regions where predominant geologic controls or predominant flow paths were present, no spatial scaling was found. Regarding their spatiotemporal evolution, braided rivers were found to exhibit dynamic scaling, implying that a smaller part of a braided river evolves identically to a larger one provided that space and time are appropriately normalized. Based on these findings, and some additional analysis of experimental rivers as they approach equilibrium, it was concluded that the mechanism bringing braided rivers to a state where they show spatial and temporal scaling is self-organized criticality and inferences about the physical mechanisms of self-organization were suggested.