一种基于双重距离的空间聚类方法

传统聚类方法大都是基于空间位置或非空间属性的相似性来进行聚类,分裂了空间要素固有的二重特性,从而导致了许多实际应用中空间聚类结果难以同时满足空间位置毗邻和非空间属性相近。然而,兼顾两者特性的空间聚类方法又存在算法复杂、结果不确定以及不易扩展等问题。为此,本文通过引入直接可达和相连概念,提出了一种基于双重距离的空间聚类方法,并给出了基于双重距离空间聚类的算法,分析了算法的复杂度。通过实验进一步验证了基于双重距离空间聚类算法不仅能发现任意形状的类簇,而且具有很好的抗噪性。     

The dynamics and thermodynamics of large ash flows

 Ash flow deposits, containing up to 1000 km³ of material, have been produced by some of the largest volcanic eruptions known. Ash flows propagate several tens of kilometres from their source vents, produce extensive blankets of ash and are able to surmount topographic barriers hundreds of metres high. We present and test a new model of the motion of such flows as they propagate over a near horizontal surface from a collapsing fountain above a volcanic vent. The model predicts that for a given eruption rate, either a slow (10–100 m/s) and deep (1000–3000 m) subcritical flow or a fast (100–200 m/s) and shallow (500–1000 m) supercritical flow may develop. Subcritical ash flows propagate with a nearly constant volume flux, whereas supercritical flows entrain air and become progressively more voluminous. The run-out distance of such ash flows is controlled largely by the mass of air mixed into the collapsing fountain, the degree of fragmentation and the associated rate of loss of material into an underlying concentrated depositional system, and the mass eruption rate. However, in supercritical flows, the continued entrainment of air exerts a further important control on the flow evolution. Model predictions show that the run-out distance decreases with the mass of air entrained into the flow. Also, the mass of ash which may ascend from the flow into a buoyant coignimbrite cloud increases as more air is entrained into the flow. As a result, supercritical ash flows typically have shorter runout distances and more ash is elutriated into the associated coignimbrite eruption columns. We also show that one-dimensional, channellized ash flows typically propagate further than their radially spreading counterparts. As a Plinian eruption proceeds, the erupted mass flux often increases, leading to column collapse and the formation of pumiceous ash flows. Near the critical conditions for eruption column collapse, the flows are shed from high fountains which entrain large quantities of air per unit mass. Our model suggests that this will lead to relatively short ash flows with much of the erupted material being elutriated into the coignimbrite column. However, if the mass flux subseqently increases, then less air per unit mass is entrained into the collapsing fountain, and progressively larger flows, which propagate further from the vent, will develop. Our model is consistent with observations of a number of pyroclastic flow deposits, including the 1912 eruption of Katmai and the 1991 eruption of Pinatubo. The model suggests that many extensive flow sheets were emplaced from eruptions with mass fluxes of 10⁹–10¹⁰ kg/s over periods of 10³–10⁵ s, and that some indicators of flow "mobility" may need to be reinterpreted. Furthermore, in accordance with observations, the model predicts that the coignimbrite eruption columns produced from such ash flows rose between 20 and 40 km. Received: 25 August 1995 / Accepted: 3 April 1996     

Geography in a restructuring world?

In those parts of their discipline which can be categorised as spatial analysis, geographers have focused attention on distance as a key variable, and have paid little attention to bounded spaces and territoriality strategies. In a rapidly restructuring world, in which distance is becoming increasingly irrelevant as an influence on many forms of behaviour, territoriality remains an important aspect of the manipulation of space for economic, social, political and cultural purposes: in the terminology of Hagerstrands classic model, while the coupling and capability constraints on interaction are weakening, the authority constraint remains strong.     

地缘经济关系测度与分析的理论方法探讨--以云南省为例

文章首先简要分析了地缘经济学的发展进程和研究内容，提出以保护国家利益增强综合国力为主要研究目的的地缘经济理论在一定程度上可以指导不同级别区域经济合作策略的制定。然后在探究了地缘经济关系涵义的前提下，设计了地缘经济关系的测度体系，并用该方法对云南省地缘经济关系进行了数量测度和类型判别，进而对该省地缘经济关系进行了分析和评价，对经济发展提出了建议。     

等距等高电磁波测距三角高程测量及精度分析

介绍了等距等高电磁波测距三角高程测量的原理，详细深入地分析了这种高程测量方法的精度，通过计算和作图表示，可直观地反映在不同条件下的精度变化情况，讨论了代替国家等级水准测量的范围和条件，可供生产实际和进一步研究参考。     

GPS进行长边控制测量分析

采用基准和基准转换模型的不同会导致GPS观测边长与坐标计算边长不一致。因此由GPS测量的WGS－84坐标系向我国的北京54坐标系转换计算时，应尽可能选择参考点作对比分析。若满足精度要求，可采用全国精密参数作转换计算，若不能满足精度要求或达不到实测点的定位精度，可先将边长作高程异常改正，再对起算点作方位改正。     

Analysis of Post-Failure Slope Movements within the Framework of Hazard and Risk Analysis

The paper first recalls briefly a methodological framework to assess landslide hazard and risk analysis in terms of predisposition, triggering andrevealing factors. This framework, that reflects the mechanisms involved in the landslide, is based on the Geotechnical Characterisation of slope movements proposed by Vaunat et al. (1994) and Leroueil et al. (1996). The Geotechnical Characterisation can be schematized by a 3-D matrix having the following axes: types of movement; types ofmaterial; and the four stages of movement: pre-failure, failure, post-failure andreactivation. For each relevant element of this 3-D matrix, there is a characterisationsheet including: the controlling laws and parameters, the predisposition factors, thetriggering or aggravating factors, the revealing factors and the consequences of the movement. The paper focuses afterwards on the post-failure stage, which generallyis the most destructive, and on the mobility index. It is shown that this laterindex can be described as the product of sub-indices associated with failure, brittlenessof the material, ability of the soil to develop pore pressures, geometry of the moving soil mass and characteristics of the terrain. It is also shown how these aspectscan be incorporated into the Geotechnical characterisation of slope movements. This seems to provide a rational basis for examining slope movements at the post-failure stage and assessing associated risks.     

Simulation of individual particle movement in a gravel streambed

A two‐dimensional simulation model of travel distances of individual particles in a gravel‐bed river is presented. The model is based on a number of rules, which include particle size, entrainment, trajectory, distance of movement and entrapment. Particle interactions are controlled by resistance fields defined about each obstacle and critical elevation defined in the model. Resistance fields, particle dropping and critical elevation rules control particle interactions. The interaction rules cause the particles to develop pebble clusters, stone cells and transverse structures (transverse ribs). The simulated travel distances of individual particles are consistent with reported field results. Individual particle travel distances were simulated using two different models; one without interactions between the individual particles and the stationary bed and one with interactions. The case without interactions demonstrates the random nature of sediment transport, and narrow ranges of travel distances. Wider ranges of travel distances, similar to those for natural situations, were obtained for the cases with interactions. The more intense the interaction between the mobile stones and the stationary ones, the wider the range of distances of travel for a given particle size. Modelling the mean travel distance yielded a result similar to that published previously, which was based on empirical data. Well developed bed‐surface structures were obtained for relatively poorly sorted sediment with intense interactions between particles. Transverse structures developed when relatively large particles were allowed to move. Copyright © 2002 John Wiley & Sons, Ltd.     

2001年1月2 6日印度古杰拉特(Gujarat)Ｍem>Ssub>7.8地震时空破裂过程

从全球数字地震台网的长周期记录中，选择了震中距小于90的27个台站的54个P波震相和44个S波震相资料．首先，用波形反演方法确定了2001年1月26日印度古杰拉特(Gujarat)ＭS7.8地震的地震矩张量、震源机制、震源时间函数和时空破裂过程等震源参数．通过矩张量反演，并根据Kutch Mainland断层的走向、地震烈度的空间分布、余震震源的空间分布和震害的空间分布，确认2001年1月26日印度古杰拉特ＭS7.8地震的发震断层的走向为92、倾角为58、滑动角为62，即一走向近东-西向、断层面向南倾斜、以逆冲为主的左旋-逆断层．这次地震所释放的地震矩为3.51020 Nm，矩震级ＭW＝7.6．然后，借助合成地震图，采用频率域求谱商的方法，得到了依赖于台站方位的27个P波震源时间函数、22个S波震源时间函数以及平均的P波震源时间函数和S波震源时间函数．对震源时间函数的分析表明，这次地震是一次连续的破裂事件，开始比较急遽，但结束比较迟缓，总持续时间约19 s．最后，以所提取的P波和S波震源时间函数为资料，采用时间域的反演技术得到了断层面上滑动的时空分布．滑动量在断层面上的静态分布表明，断层面上的最大滑动量约为7 m．断层面上的最大应力降约为30 MPa，平均应力降约为7 MPa．滑动量大于0.5 m的区域在走向方向长85 km，在断层面倾斜方向宽约60 km(相应地，在深度方向约51 km)．破裂向东扩展约50 km，向西扩展约35 km．滑动量大于0.5 m的区域的主要部分呈椭圆形，其长轴取向与断层滑动方向一致．表明此区域破裂扩展的方向即是断层错动的方向．这种现象对于走滑断层情形是多见的，但对逆冲断层情形却少见．断层面上初始破裂点以东、以上部分面积大于初始破裂点以西、以下部分的面积，这是破裂非对称性的表现，表明破裂具有自西向东、自下向上单侧破裂的特征．从滑动率随时空变化的快照可以看出，滑动率在第4 s达到最大值，此时滑动率约为0.2 m/s，滑动基本上发生在破裂起始点及其周围．从第6 s开始，起始点的破裂基本结束，破裂开始向外围扩展．破裂向西的扩展速度明显小于向东的扩展速度．在第15 s，这种环形的扩展基本结束．自16 s以后，主要是一些零星的破裂点分布在破裂区的外围．从滑动量随时空变化的快照看，破裂自起始点开始后，逐渐向四周扩展．主要的破裂(滑动量大于5 m的区域)在6～10 s，具有明显的自西向东、向上的单侧破裂特征．在第11～13 s，破裂的西端向西、向下有所扩展．整个破裂过程持续约19 s．在整个破裂过程中的平均破裂速度约为3.3 km/s．      

改进的最小二乘法在水文分析计算中的应用

在水分析计算中，经常涉及到变量之间的线性或非线性拟合，而在拟合各种特性曲线时，通常应用以实测资料与拟合曲线间的误差平方和最小作为目标函数的方法——最小二乘法，但这种方法忽视了所有实测点应与拟合曲线间的相对误差尽量不超过某一百分比的原则，为了达到上述要求，提出了非线性的加权最小二乘法及线性相关方程的最小距离平方和法，探讨改进了传统的最小二乘法达到优化的效果。最小距离平方和法与常用的图解法相比，本法所得成果较为客观；与传统的单方向(x或y方向)最小二乘回归法相比，所求线性方程不会因坐标系的选取而改变。最后应用算例进行了初步讨论。