非球形轴对称粒子光散射的散射矩阵元素展开系数的数值计算

扼要地介绍了非球形粒子光散射的散射矩阵元素按广义球函数展开的基本理论,以及球形粒子散射矩阵元素间的关系。在此基础上较详细地阐述了计算展开系数的方法以及在程序研制中所遇到的一些问题。最后,对非球形的Ｃｈｅｂｙｓｈｅｖ粒子光散射的散射矩阵元素的展开系数进行了计算,结果表明数值技术和计算的正确性。     

大气负荷对新疆地区地壳形变和地面重力变化的影响

基于ECMWF全球大气模型和中国地面气候资料日值数据集中新疆及周边的气象站气压数据,根据弹性地壳形变理论,采用移去-恢复法,利用负荷格林函数法和球谐函数法,计算新疆及周边区域2011～2015年大气负荷变化对地壳垂直、水平形变的影响,同时采用大气导纳方法计算大气变化对地面重力的影响。结果表明,大气负荷对新疆地区垂直形变的影响达到cm级,对地面重力的影响可达10μGal;大气负荷影响具有明显的季节性。     

青藏高原东南缘现今地壳形变与多尺度应变率场特征

利用青藏高原东南缘1999~2007年与2011~2017年高精度GNSS监测资料,充分顾及GNSS测站非均匀分布的特性,构建青藏高原东南缘地壳形变多尺度球面小波模型,定量分析汶川强震前后该区域地壳形变与不同空间尺度下地壳应变率场变化特征。研究结果表明,汶川强震前后研究区整体地壳运动具有一定继承性发展特征,均在龙门山、安宁河、则木河与小江断裂处形成明显的速度差异梯度带,且高应变率值也主要聚集在上述主干断裂及附近区域;汶川强震后,研究区域整体地壳运动速率量值,特别是龙门山断裂带西北侧地壳运动速度量值显著增大,羌塘、巴颜喀拉与川滇地块也呈现出加速向南东运移并推动华南块体的趋势。不同尺度下的应变率场反映出不同空间范围下区域应变积累特征,青藏高原东南缘区域在尺度因子q=7时的计算结果是合理的（合理的最大尺度因子）;当尺度因子q=6时,能较好地揭示出区域整体构造活动特性,即清晰地揭示出汶川强震后龙门山断裂处呈现出的显著主压应变、面压缩与最大剪应变率高值特征;当尺度因子q=3~7时（最佳组合尺度因子）,可较好地综合揭示出区域地壳大尺度（整体）形变与局部形变特征。汶川强震后,研究区域主干断裂带,特别是震中及其附近区域地震活动性显著增强。     

基于几何变换的图形采集与编辑算法研究

分析了解析几何法的符号绘制算法,采用了几何变换实现图形绘制的算法,实现了椭圆弧的采集、编辑及Bezier曲线和椭圆弧外接矩形的算法。     

FY-3微波成像仪遥感图像地理定位方法研究

MWRI (MicroWave Radiation Imager) is one of the payloads on our next generation polar meteorological satellite FY-3. MWRI conically scans with a fixed incident angle on the earth surface. It is the first time for Chinese remote sensor to use this scan mode. In this work, we present a geolocation method for FY-3 MWRI’s remote sensing image based on its special scan geometry. The integrated coordinate systems and the specific relationships with these coordinate systems are defined. A spatial relationship model between the remote sensing data and the earth-based coordinate system is established. This method also includes an algorithm of satellite orbit computation, which is used to get the satellite’s instantaneous velocity vector from its position. This method has been applied to MWRI’s remote sensing image geolocation. The results show that the accuracy of this method can achieve 1 pixel. The 33 GCPs (Ground Control Points) which are in the regiones of FY-3 MWRI’s observation have been collected and used to analyze the precision of the geolocation. By statistical analysis, the error along-track is about 1.5km, and the error along-scan is about 3.0km. It is obvious that this method fulfills the requirement of precision for FY-3 MWRI whose space resolution exceeds 5km.     

双重投影在高速铁路测量中的应用分析

针对目前我国高速铁路测量采用的高斯投影独立坐标系每个投影带可控制范围太小,给施工带来很多不便的问题,提出了首先将椭球面经纬度投影至球面后再沿铁路线方向进行斜墨卡托投影的原理、方法和计算步骤,并通过算例分析其在高速铁路测量应用中的可行性,该投影方法与目前施工单位正在使用的高斯投影相比较具有明显的优点。     

On the stability of stratified plane couette flow

Abstract

Unbounded stratified plane Couette flow is shown to be stable against small amplitude disturbances. The Brunt-Väisälä frequency is assumed to be constant. Both viscosity and thermal diffusion are included, and shown to be stabilizing.     

Influence of pore size and geometry on peat unsaturated hydraulic conductivity computed from 3D computed tomography image analysis

In organic soils, hydraulic conductivity is related to the degree of decomposition and soil compression, which reduce the effective pore diameter and consequently restrict water flow. This study investigates how the size distribution and geometry of air‐filled pores control the unsaturated hydraulic conductivity of peat soils using high‐resolution (45 µm) three‐dimensional (3D) X‐ray computed tomography (CT) and digital image processing of four peat sub‐samples from varying depths under a constant soil water pressure head. Pore structure and configuration in peat were found to be irregular, with volume and cross‐sectional area showing fractal behaviour that suggests pores having smaller values of the fractal dimension in deeper, more decomposed peat, have higher tortuosity and lower connectivity, which influences hydraulic conductivity. The image analysis showed that the large reduction of unsaturated hydraulic conductivity with depth is essentially controlled by air‐filled pore hydraulic radius, tortuosity, air‐filled pore density and the fractal dimension due to degree of decomposition and compression of the organic matter. The comparisons between unsaturated hydraulic conductivity computed from the air‐filled pore size and geometric distribution showed satisfactory agreement with direct measurements using the permeameter method. This understanding is important in characterizing peat properties and its heterogeneity for monitoring the progress of complex flow processes at the field scale in peatlands. Copyright © 2010 John Wiley & Sons, Ltd.     

On the modelling of sand bedforms using the semivariogram

This study shows the usefulness of the semivariogram for modelling sand ripples created by water flows of varied flow intensity. A combination of two mathematical functions is fitted to each sample semivariogram, that is an exponential (or stochastic) component and a periodic component. The parameters of each of these components have direct physical meaning. A non-dimensional ratio combining the two parameters of the exponential model is interpreted as a regularity index (which increases with the degree of regularity of bedform arrangement). This regularity index is inversely related to the Froude number of the flow. The non-dimensional wavelength, estimated from the dominant periodic function, is also inversely and closely related to the Froude number. The wave height, accurately estimated from properties of the two fitted components, is a direct function of flow velocity and is also proportional to the standard deviation of bed elevations. The bedform shape introduces a considerable discrepancy between the generally assumed normal frequency distribution and the empirical distributions of bed height. The series of bed elevations are generally characterized by a mixture of normal distributions having the same variance but different means. The calculation of a covariance assuming a constant and single mean (as in spectral analysis) can therefore be misleading and the problem may be avoided by using the semivariogram.