A new calibration model for pointing a radio telescope that considers nonlinear errors in the azimuth axis ＊

A new calibration model of a radio telescope that includes pointing error is presented, which considers nonlinear errors in the azimuth axis. For a large radio telescope, in particular for a telescope with a turntable, it is difficult to correct pointing errors using a traditional linear calibration model, because errors produced by the wheel-on-rail or center bearing structures are generally nonlinear. Fourier expansion is made for the oblique error and parameters describing the inclination direction along the azimuth axis based on the linear calibration model, and a new calibration model for pointing is derived. The new pointing model is applied to the 40 m radio telescope administered by Yunnan Observatories, which is a telescope that uses a turntable. The results show that this model can significantly reduce the residual systematic errors due to nonlinearity in the azimuth axis compared with the linear model.     

Stresses due to vertical subsurface loading for an inhomogeneous cross‐anisotropic half‐space

In this article, we present the solutions for the stresses induced by four different loads associated with an axially loaded pile in a continuously inhomogeneous cross‐anisotropic half‐space. The planes of cross‐anisotropy are parallel to the horizontal surface of the half‐space, and the Young's and shear moduli are assumed to vary exponentially with depth. The four loading types are: an embedded point load for an end‐bearing pile, uniform skin friction, linear variation of skin friction, and non‐linear parabolic variation of skin friction for a friction pile. The solutions for the stresses due to the pile load are expressed in terms of the Hankel integral and are obtained from the point load solutions of the same inhomogeneous cross‐anisotropic half‐space which were derived recently by the authors (Int. J. Rock Mech. Min. Sci. 2003; 40 (5):667–685). A numerical procedure is proposed to carry out the integral. For the special case of homogeneous isotropic and cross‐anisotropic half‐space, the stresses predicted by the numerical procedure agree well with the solutions of Geddes and Wang (Geotechnique 1966; 16 (3):231–255; Soils Found. 2003; 43 (5):41–52). An illustrative example is also given to investigate the effect of soil inhomogeneity, the type and degree of soil anisotropy, and the four different loading types on the vertical normal stress. The presented solutions are more realistic in simulating the actual stratum of loading problem in many areas of engineering practice. Copyright © 2004 John Wiley & Sons, Ltd.     

一个半线性耦合抛物型方程组爆破解的速率估计

考虑一个方程和非线性边界条件耦合的半线性抛物型方程组,运用Scaling方法、Green函数、Schauder估计等方法,研究该方程组解的爆破速率,并给出非线性反应项和吸收项对爆破速率的影响。     

A pair of Langmuir cells in two laboratory tanks (II) on generation mechanism

Vertical and cross-wind profiles of mean currents were measured systematically in vertical cross-sections of two wind-wave tanks with aspect ratios of order one to study the secondary flow in the tanks. A pair of Langmuir cells turned out to be driven by a close combination of the pressure gradient along the tank and the side-wall effects. That is, part of the adverse pressure gradient produced a parabolic cross-wind profile with the smallest downwind current at the centerline and the largest current along the two sidewalls. As a result, upwelling occurred in the center zone where the return flow was strongest, probably because of the entrainment action of the wind-driven current. In order to compensate for this upwelling, downwelling occurred along the two side-walls from the flow continuity. The resulting vertical circulation formed a pair of Langmuir circulations across the span and served to maintain the parabolic profile formed by the pressure gradient. A positive feedback mechanism is thus found between the primary and secondary circulations through upwelling of the return flow in the center zone. Vertical shears of the span-averaged downwind current measured in two tanks were found to be systematically different from each other. This difference seems to depend on the magnitude of the advective Reynolds stresses in the two tanks.     

Arps递减开发模型

本文在Ａｒｐｓ递减产能预测模型的基础上提出了Ａｒｐｓ递减开发模型,提出了开发速度,采出程度等开发指标的数学关系式,分析了参数Ａｒｐｓ递减开发模型的影响,提出了开发初期Ａｒｐｓ递减开发模型的确定方法,便于开发初期决策,制作了Ａｒｐｓ递减开发模型的ｌｏｇＶｄ－ｌｏｇＲｐ图版,ｌｏｇＶｄ－ｌｏｇ（Ｄｔ）图版,ｌｏｇＲｐ－ｌｏｇ（Ｄｔ）图版,提出了开发中晚期Ａｒｐｓ递减开发模型的判断方法,三点抛物线法和三     

长江口水域波浪数值计算

利用高阶非线性抛物型缓坡方程对长江口水域的波浪传播变形作了推算,依据测站的资料分析数值模式中的底摩阻因子和风能输入因子对波浪传播的影响,进而确定其参数。针对不同导堤结构型式,分析了潜堤的波浪传递系数,最后对长江口二期整治工程完成后水域的波浪场作了推算。     

考虑风能输入的抛物型缓坡方程

在Radder和Kirby发展的波浪折射绕射缓坡方程抛物型模型基础上,对这种模型进行了改进,改进后的模型除可以考虑波浪传播过程中的底摩阻损耗、非线性作用外,加入了风能输入对波浪传播的影响。基于风能输入项的波浪模型数值计算结果表明,在纯风浪情况下的计算结果与传统的风浪计算方法结果一致,在波浪传播过程中由于风的作用,将导致波高比无风作用下计算的波高大。     

The control of wind strength on the barchan to parabolic dune transition

The evolution of barchan-to-parabolic dunes can be driven by vegetation establishment, which may be linked to climate change and/or human activity. However, little is known of the impact of changes in wind strength on vegetation development and the resulting impacts on the evolution of dune morphology and sedimentological characteristics. To address this issue, we studied the morphology and grain-size characteristics of barchan, barchan-to-parabolic and parabolic dunes in the Mu Us Desert in north China, which was combined with an analysis of changes in normalized difference vegetation index (NDVI) and climatic variables during 1982–2018. The results reveal a trend of increasing growing-season NDVI which was related to a significant decrease in drift potential (DP). Therefore, we suggest that the initiation of dune transformation was caused by the reduced wind strength which favored the establishment and development of vegetation. To reveal the response of sedimentological reorganization during the processes of dune transformation, grain-size characteristics along the longitudinal profile of the three different types of dunes were examined. The decreasing wind strength led to the transport of fine sands on the upper part of the windward face of the dunes, resulting in a progressive coarsening of the grain-size distribution (GSD) and a reduction in dune height at the crest area. No distinct trend in sorting and mean grain-size was observed on the windward slope of the barchan-to-parabolic dune, indicating that the sand in transit had little influence on the GSD. Conversely, progressive sorting and coarsening of the sand occurred towards the crest of the parabolic dune. This indicates that vegetation development limited the transport of sand from upwind of the dune, and affected a shift in the dune source material to the underlying source deposits, or to reworked pre-existing aeolian deposits, and resulted in the trapping of sand in the crest area. © 2020 John Wiley & Sons, Ltd.     

探地雷达在福建漳浦海岸抛物线沙丘沉积构造探测中的应用

本文进行了探地雷达在福建漳浦六鳌半岛海岸抛物线沙丘沉积构造探测中的初步应用。结果表明:(1)被探测海岸沙丘的粒度、含水量等理化性质,不同的天线频率,室内数字滤波、增益调适等图像处理环节,均会对探地雷达的探测结果产生影响。(2)本次探测结果以及人工砂坑剖面表明探地雷达是探测海岸沙丘沉积构造的良好手段。(3)通过判读探地雷达图像显示的沉积构造序列组合特点,并根据最近数十年研究区海岸环境演变初步调查结果,认为所探测海岸抛物线沙丘的发育过程,经历了早期海滩脊出露海面、继而发育植被和抛物线沙丘两个阶段。     

抛物Radon变换法近偏移距波场外推

本文给出了抛物Radon变换的基本原理,以及部分动校正后的CMP道集抛物线近似有效性的证明,基于带限正反最小平方抛物Radon变换的Levinson递推算法,对缺失的近偏移距地震波场进行叠前重建和外推.给出了抛物Radon变换法地震道重建外推的基本原理和叠前地震数据规则化的处理流程,另外对于Radon域均匀采样的情形,本文给出了均匀层状介质和Marmousi模型的近偏移距外推结果,计算结果验证了算法的稳定性和适用性.