论大气模式的垂直离散(Ⅱ)──垂直离散

提出了用ｌｎσ等距分层和Ｔｓｃｈｅｂｙｓｃｈｅｆｆ多项式沿垂直方向展开气象要素的方案；并证明：在绝热无耗散且时间和水平方向要素连续的情况，可以在高精度条件下，保证质量和能量守恒，且具有正确的动、位能之间的转换关系。数值计算表明：两方案均有较高的计算精度；在积分静力方程时，位势高度计算误差显著小于ＥＣ７９方案。     

一类反演公式

本文讨论的是组合数学中的级数反演公式，作者利用Ｂｅｌｌ多项式给出了一类很广泛的反演公式，并通过实例说明许多反演公式都是这一类反演公式的特例。     

利用车贝雪夫多项式进行资料缺测插补的研究

使用一维车贝雪夫多项式展开进行历史年降水量和月平均气温各种缺测情况下资料的插补试验，在迭代计算过程中，还对理想初值的两种临界迭代次数选取方案和迭代终值法进行了大量的试验。结果表明，一般情况下迭代终值计算精度较高，旱涝年则理想初值拟合结果更好一些；一年缺测插补精度高于连续多年缺测；双向插补计算结果优于单独使用顺序或逆序插补结果。     

Estimation and improvement in the geolocation accuracy of rational polynomial coefficients with minimum GCPs using KOMPSAT-3A

ABSTRACT

In this paper, we propose a method to regenerate Rational Polynomial Coefficients (RPCs) using KOMPSAT-3A imagery and to reduce the geolocation error using minimum ground control points (GCPs). To estimate the new RPCs, the physical sensor model fitted to KOMPSAT-3A imagery was utilized and virtual GCPs over the study area were created. The size of the virtual grid used was 20x20x20. To remove the sensor-related errors in physical sensor model, three different image correction models (image coordinate translation model, shift and drift model, and affine transformation model) were additionally applied. We evaluated our proposed method in two areas within Korea, one in urban (Seoul) and one in rural (Goheung) areas. The results showed that there was a significant improvement after applying the suggested approach in the two areas. The image coordinate translation model is suggested in terms of GCP requirement and expected errors estimated from the error propagation analysis using Gauss–Markov Model (GMM).     

多项式的井间地震速度场反演方法

基于契比雪夫多项式的旅行时反演方法,不需进行入射角扫描,首先用多项式表示出深度和慢度,计算出从源点到接收点的旅行时间,通过与实际时间的误差修改模型参数,经过反复迭代,最终得到地下复杂构造的界面形态和速度变化。与网格化速度反演方法相比,计算的未知数少,对初始地质模型的依赖性小。模型试算表明,在初始地质模型与实际地质模型差别较大时,仍能取得比较好的反演结果。     

Self-calibration Applied in Converting Simulation Surveying

In the field of converting simulation surveying and traditional close range photogrammetry, it has been developed so far to survey objects by commercial digital camera and this technique is applied widely in every part of production. In order to get three-dimensional information of objects, commercial digital camera must be examined. For a long time, digital camera has been examined by DLT. Then there must be a high-precision control field. For realizing surveying without control points, a method for self-calibration is proposed.     

分段多项式拟合在动三轴试验数据处理中的应用

动三轴采集的试验数据点(剪应变与动剪模量和阻尼比之间)具有离散性和有限性,为方便应用需要对数据点进行拟合,但现有经验公式不一定很好吻合试验数据。为得到不同剪应变与对应的动剪模量和阻尼比之间的关系,本文利用最小二乘原理,对渤海某海洋平台地基土进行动三轴试验获得的动剪模量、阻尼比与剪切应变的数据进行了分段多项式的拟合。数据处理过程是先对剪应变值进行了压缩处理,然后再分段低次多项式拟合,得到多项式拟合参数。通过此项改进解决了正规方程解中的病态问题,且拟合效果良好。     

EGM2008的高程拟合模型在广西区域的应用研究

利用广西2013年测量的部分二等水准测量成果,对EGM2008地球重力场模型1′×1′的模型进行检核,得到其在广西境内的高程异常差值为36.8cm。并选取了广西两个较有代表性区域的数据,使用多种G P S高程多项式拟合的方法以及基于EGM2008地球重力场模型的移去-恢复法进行实验研究,通过数据统计分析,最优拟合模型精度可达到5cm以内,对EGM2008地球重力场模型在广西的实际应用得到了一些非常有意义的结论。