Quasigeostrophic planetary waves in a two-layer ocean with one-dimensional periodic bottom topography

Although the study of topographic effects on the Rossby waves in a stratified ocean has a long history, the wave property over a periodic bottom topography whose lateral scale is comparable to the wavelength is still not clear. The present paper treats this problem in a two-layer ocean with one-dimensional periodic bottom topography by a simple numerical method, in which no restriction on the wavelength and/or the horizontal scale of the topography is required. The dispersion diagram is obtained for a wavenumber range of [?π/L _b , π/L _b ], where L _b is the periodic length of the topography. When the topographic?β?is not negligible compared to the planetary β, the Rossby wave solutions around the wavenumbers which satisfy the resonant condition among the waves and topography disappear and separate into an infinite number of discrete modes. For convenience, each mode is numbered in order of frequency. As topographic height is increased, the high frequency barotropic Rossby wave (mode 1) becomes a topographic mode which can exist even on the f plane, and the highfrequency baroclinic mode (mode 2) becomes a surface intensified mode. Behaviors of low frequency modes are somewhat complicated. When the topographic amplitude is small, the low frequency baroclinic modes tend to be bottom trapped and the low frequency barotropic modes tend to be surface intensified. As topographic amplitude further increases, the relation between the mode number and vertical structure changes. This change can be attributed to the increase of the frequency of the topographic mode with the topographic amplitude.     

Froude number effects on flow over topography

Abstract

The response or a depth independent two layer flow to an underlying topographic irregularity is studied for flows in which the square of the internal Froude number exceeds the Rossby number. Irrespective of the magnitude of the Rossby number, rotation is important for such flows. The flow generally adjusts so that the thickness of the lower layer is nearly constant. However small anomalies from the constant thickness are found to extend to very large distances from the topography when the Rossby number exceeds unity.     

Preliminary results of strong ground motion simulation for the Lushan earthquake of 20 April 2013, China

The earthquake occurred in Lushan County on 20 April, 2013 caused heavy casualty and economic loss. In order to understand how the seismic energy propagates during this earthquake and how it causes the seismic haz- ard, we simulated the strong ground motions from a rep- resentative kinematic source model by Zhang et al. （Chin J Geophys 56（4）：1408-1411, 2013） for this earthquake. To include the topographic effects, we used the curved grids finite difference method by Zhang and Chen （Geophys J Int 167（1）：337-353, 2006）, Zhang et al. （Geophys J Int 190（1）：358-378, 2012） to implement the simulations. Our results indicated that the majority of seismic energy con- centrated in the epicentral area and the vicinal Sichuan Basin, causing the XI and VII degree intensity. Due to the strong topographic effects of the mountain, the seismic intensity in the border area across the northeastern of Boxing County to the Lushan County also reached IX degree. Moreover, the strong influence of topography caused the amplifications of ground shaking at the moun- tain ridge, which is easy to cause landslides. These results are quite similar to those observed in the Wenchuan earthquake of 2008 occurred also in a strong topographic mountain area.     

用双向反应谱比法估计地形对结构反应的影响

基于汶川地震发生时自贡市西山公园地形影响台阵的加速度记录,利用双向反应谱比法分析了山脊地形对单自由度体系结构反应的放大效应,结果表明:(1)水平向结构反应在结构自振频率小于1Hz的低频段放大效应不明显;在1～ 10Hz频段山顶放大效应最大,最大值达3.25,对应频率为6.25Hz;在10 ～ 20Hz频段,各台站放大效应趋于平稳,靠近山顶的7号台站放大效应最明显,最大值为2.3,对应频率为16.7Hz.(2)结构反应的最大放大系数有随高度的增加而增大的趋势,且在1 ～ 10Hz频段这种趋势比较明显.(3)与其它场地效应估计方法相比较,该方法能够体现地形效应对结构反应的影响,从而更有利于研究建筑结构震害的分布.     

Analysis of the role of diffraction in topographic site effects using boundary element techniques

The role played by the diffraction field on the problem of seismic site effects is studied. For that purpose we solve and analyze simple scattering problems under P and SV in-plane wave assumptions, using two well known direct boundary-element-based numerical methods. After establishing the difference between scattered and diffracted motions, and introducing the concept of artificious and physically based incoming fields, we obtain the amplitude of the Fourier spectra for the diffracted part of the response: this is achieved after establishing the connection between the spatial distribution of the transfer function over the studied simple topographies and the diffracted field. From the numerical simulations it is observed that this diffracted part of the response is responsible for the amplification of the surface ground motions due to the geometric effect. Furthermore, it is also found that the diffraction field sets in a fingerprint of the topographic effect in the total ground motions. These conclusions are further supported by observations in the time-domain in terms of snapshots of the propagation patterns over the complete computational model. In this sense the geometric singularities are clearly identified as sources of diffraction and for the considered range of dimensionless frequencies it is evident that larger amplifications are obtained for the geometries containing a larger number of diffraction sources thus resulting in a stronger topographic effect. The need for closed-form solutions of canonical problems to construct a robust analysis method based on the diffraction field is identified.     

江西相山铀矿田地貌剥蚀特征及其控矿意义——磷灰石裂变径迹证据

本文以数字高程(DEM)地貌特征分析为基础,采用磷灰石裂变径迹测试和温度-时间反演模拟研究,分析江西相山铀矿田铀成矿后剥蚀程度的差异性,结合已知矿床的成矿特征,探讨地貌剥蚀程度与矿体保存之间的关系,为区域找矿提供指导.通过DEM合成图像和水系分布特征,表明相山铀矿田是一个遭受中等侵蚀的地貌区,相山主峰南北和东西侧地貌侵蚀差异特征明显.统计分析表明,已经发现的铀矿床、点的分布与次级火山机构关系密切,相山南部的次火山机构剥蚀较深,西部次火山机构剥蚀相对弱,而北部和西北部则处于中等剥蚀程度.磷灰石裂变径迹测试结果表明,相山铀矿田的南部和东部开始剥蚀的时间早于西部,但晚于相山主峰的剥蚀.利用磷灰石的裂变径迹长度和温度参数,进一步开展了温度-时间的反演模拟研究,结果显示相山西部快速隆升发生于40~60 Ma之间,相山南部和东部的快速隆升发生于60~75 Ma之间,相山主峰的快速隆升发生于75~100 Ma之间,表明相山主峰、相山东部及南部较西部经历了较长时间的剥蚀.结合现今区域地质体出露特征及铀矿化蚀变类型的空间展布规律、成矿深度的估算等,推测相山铀矿田东部和南部剥蚀程度较深,早期可能形成的中低温铀矿体被剥蚀殆尽;北部剥蚀程度中等,地表出露了形成深度稍深的碱交代蚀变矿床;而西部剥蚀程度较低,地表发育浅部低温成矿的酸交代蚀变铀矿床.据此推断,相山铀矿田的西部深部具有很好的找矿潜力.     

Topographic correction-based retrieval of leaf area index in mountain areas

Leaf Area Index(LAI)is a key parameter in vegetation analysis and management,especially for mountain areas.The accurate retrieval of LAI based on remote sensing data is very necessary.In a study at the Dayekou forest center in Heihe watershed of Gansu Province,we determined the LAI based on topographic corrections of a SPOT-5.The large variation in the mountain terrain required preprocessing of the SPOT-5 image,except when orthorectification, radiation calibration and atmospheric correction were used.These required acquisition of surface reflectance and several vegetation indexes and linkage to field measured LAI values.Statistical regression models were used to link LAI and vegetation indexes.The quadratic polynomial model between LAI and SAVI (L=0.35)was determined as the optimal model considering the R and R2 value.A second group of LAI data were reserved to validate the retrieval result.The model was applied to create a distribution map of LAI in the area.Comparison with an uncorrected SPOT-5 image showed that topographic correction is necessary for determination of LAI in mountain areas.     

GIS analysis to assess landslide susceptibility in a fluvial basin of NW Sicily (Italy)

Landslide hazard assessment, effected by means of geostatistical methods, is based on the analysis of the relationships between landslides and the spatial distributions of some instability factors. Frequently such analyses are based on landslide inventories in which each record represents the entire unstable area and is managed as a single instability landform. In this research, landslide susceptibility is evaluated through the study of a variety of instability landforms: landslides, scarps and areas uphill from crown. The instability factors selected were: bedrock lithology, steepness, topographic wetness index and stream power index. The instability landform densities computed for all the factors, which were arranged in Unique Condition Unit, allowed us to derive a total of three prediction images for each landslide typology. The role of the instability factors and the effects generated by the use of different landforms were analyzed by means of: a) bivariate analysis of the relationships between factors and landslide density; b) predictive power validations of the prediction images, based on a random partition strategy.The test area was the Iato River Basin (North-Western Sicily), whose slopes are moderately involved in flow and rotational slide landslides (219 and 28, respectively). The area is mainly made up of the following complexes: Numidian Flysch clays (19%, 1%), Terravecchia sandy clays (5%, 1%), Terravecchia clayey sands (3%, 0.3%) and San Cipirello marly clays (9%, 0%). The steepness parameter shows the highest landslide density in the [11–19°] class for both the typologies (8%, 1%), even if the density distributions for rotational slides are right-asymmetric and right-shifted. We obtained significant differences in shape when we used different instability landforms. Unlike scarps and areas uphill from crowns, landslide areas produce left-asymmetric and left-shifted density distributions for both the typologies. As far as the topographic wetness index is concerned, much more pronounced differences were detected among the instability landforms of rotational slides. In contrast, the flow landslides produce normal-like density distributions. The latter and the rotational slide landslide areas produce the highest density values in the class [5.5–6.7], despite an abrupt decreasing trend starting from the first class [3.2–4.4], which is generated by the density values of the rotational slide scarps and areas uphill from crowns. The stream power index at the foot of the slopes, which was automatically derived using a GIS-procedure, shows a positive correlation with the landslide densities marked by the maximum classes: [4.8–6.0] for flows, and [6.0–7.2] for rotational slides. The validation procedure results confirmed that the choice of instability landform influences the results of the susceptibility analysis. Furthermore, the validation procedure indicates that: a) the predictive models are generally satisfactory; b) scarps and zones uphill from crown areas are the most diagnostically unstable landforms, for flow and rotational slide landslides respectively.     

豫西地形对一次强降水过程的影响分析

利用中尺度模式WRF 3.3.1模拟了2007年7月29日豫西山区强对流天气过程,并进行了地形高度敏感性试验。结果表明：模式能够很好地再现此次强对流降水过程,模拟降水范围与强降雨中心均与实况较一致。分析对比控制试验和地形敏感性试验结果可知,地形的改变能够在水平和垂直方向上影响环流形势,进而影响降水的落区和中心量级。地形升高和迎风坡梯度增大使近地面层水平风场辐合增强,中层上升运动明显增大,且低层的水汽通量增大,导致雨带横向范围和降水中心量级明显增大;而地形降低和迎风坡梯度减小使山脉对近地面层气流的阻挡作用明显减弱,低层水汽通量显著降低,中层辐合抬升运动明显减弱,迎风坡前强降水中心减弱甚至消失,而山脉下游降水则有所增强。分析地形高度与山前降水的定量关系可知,降水中心量级随着地形升高或降低相应地增大或减小,但二者并非完全的线性正相关。     

关于数字摄影测量内定向的几个问题

分析生产实践中出现问题的原因,对全数字摄影测量系统内定向相关的坐标系、相机参数、正反飞等问题进行了讨论。