地形改正与地形直接影响的转化关系   总被引：1，自引：0，他引：1  

马健  魏子卿  沈忱  彭克曼 《测绘科学技术学报》2017,34(3)

传统的第三边值问题的解算方法有Molodensky算法和Stokes-Helmert算法两种。在Molodensky算法中使用的地形改正和Stokes-Helmert算法中使用的直接影响均由大地水准面外地形产生,因而必然存在关系。本文通过推导给出了直接影响是地形改正、层间改正与压缩地形影响3项之和的结论。在此基础上,给出了直接影响的质量线平面积分算法、质量棱柱平面积分算法和地形改正的球面积分算法。此外本文还推导了布格球冠层间改正算法。通过实验得出,直接影响的质量线平面积分算法和质量棱柱平面积分算法与传统球面积分算法的差异分别为3.81和1.64 m Gal;地形改正球面积分算法与传统质量线、质量棱柱平面积分的差异分别为3.92和1.69 m Gal。该结果说明,本文推导的直接影响与地形改正的关系式是正确有效且实用的。  相似文献   

An analysis of second-order wave forces on floating bodies by using a higher-order boundary element method     

Yoon R. Choi  Sa Y. Hong  Hang S. Choi 《Ocean Engineering》2001,28(1):93

The wave diffraction and radiation problem is studied numerically by using a higher-order boundary element method. The convergence of the higher-order boundary element method is tested systematically for bodies of different shapes. For the second-order force, particular attention is paid to the contribution of the second-order potential, following the line of Molin's approach. For numerical evaluation, the free surface is divided into three subregions; inner, intermediate and outer ones. In the inner region, the integral is evaluated numerically by using higher-order boundary elements. In the intermediate region, semi-analytic form is constructed with the help of eigen functions. In the outer domain, the analytic solution is available. This subdivision scheme reduces the numerical burden remarkably.  相似文献   

不定积分变换法对二度体磁异常的研究Ⅰ-水平圆柱体、直立薄板的不定积分变换     

张维冈  裴建新 《中国海洋大学学报(自然科学版)》2003,33(5):777-782

作者从二度磁性体的磁异常公式出发,推导出各异常的不定积分变换结果,并由变换结果绘制不定积分变换的磁异常参量图.本文选取2种规则形态磁性体,在取不同空间几何参数的条件下,讨论它们不定积分变换后参量图的曲线变化规律,并总结其异常特征,而后将其与积分变换前的参量图对比进行磁异常讨论和效果分析.该方法能反映一些重要的地质信息,将有助于实际的磁异常解释.  相似文献   

A Terrain-Following Crystal Grid Finite Volume Ocean Circulation Model     

Peter?C.?ChuEmail author  Chenwu?Fan 《Journal of Oceanography》2004,60(6):945-952

A three dimensional hydrostatic finite volume ocean model has been developed to solve the integral dynamical equations. Since the basic (integral) equations are solved for finite volumes rather than grid points, the flux conservation is easily enforced, even on arbitrary meshes. Both upwind and high-order combined compact schemes can be incorporated into the model to increase computational stability and accuracy. This model uses a highly distorted grid system near the boundary. The lateral boundaries of each finite volume are perpendicular to x and y axes and the two vertical boundaries are not purely horizontal. Four types of finite volumes are designed to follow the terrain with four (Type-A), three (Type-B), two (Type-C), and one (Type-D) vertices in the lower surface. Such a terrain-following grid discretization has superior features to z- and σ-coordinate systems. The accuracy of this model was tested.  相似文献   

Analytical Solution for Wave-Induced Response of Seabed with Variable Shear Modulus     

王立忠潘冬子  潘存鸿 《中国海洋工程》2007,21(3):389-400

A plane strain analysis based on the generalized Biot's equation is utilized to investigate the wave-induced response of a poro-elastic seabed with variable shear modulus.By employing integral transform and Frobenius methods,the transient and steady solutions for the wave-induced pore water pressure,effective stresses and displacements are analytically derived in detail.Verification is available through the reduction to the simple case of homogeneous seabed.The numerical results indicate that the inclusion of variable shear modulus significantly affects the wave-induced seabed response.  相似文献   

不定积分变换法对二度体磁异常的研究II--无限延深直立厚板、有限延深直立厚板     

阚光明  裴建新  张维冈 《中国海洋大学学报(自然科学版)》2004,34(3):446-452

根据无限延深直立厚板和有限延深直立厚板的磁异常公式,求出磁异常的不定积分变换结果,并根据变换结果绘制磁异常变换参量图.在取不同空间几何参数条件下,讨论各变换参量图的变化规律,寻找由深度和厚度引起变换磁异常变化最显著的方向,以及与异常变换前参量图进行特性对比和效果分析.同时讨论了目标体埋深很大时有限延深直立厚板与水平圆柱体的变换参量图的相似性.该方法可简易、快速地区分异常体形状,能突出一些为常规处理所淹没的重要地质信息,有助于实际的磁异常解释.  相似文献   

Influences of axial load on the lateral response of single pile with integral equation method     

Fayun Liang  Haibing Chen  Shengli Chen 《国际地质力学数值与分析法杂志》2012,36(16):1831-1845

This article revisits the influences of axial load on the lateral response of single pile with integral equation method. The problem is formulated by decomposing the pile soil system into an extended elastic soil and a fictitious pile, the former of which is analyzed by making use of the fundamental Mindlin's solution for a concentrated horizontal load whereas the latter is modeled by the conventional beam bending theory. According to the rotation compatibility condition between the fictitious pile and the extended soil, a Fredholm integral equation of the second kind is established with the shear strain and rotation angle of the fictitious pile being the basic unknowns. The bending moment and displacement distribution along the pile are subsequently obtained. Comparison with existing solutions validates the accuracy and applicability of the present formulation. The results of parametric analysis indicate that the influences of axial load on the lateral response of single piles could be significant, and in general, the bending moment and horizontal displacement distributions along the pile increase considerably with the increase of axial load. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

Analysis of the water content in an unconfined aquifer with a partially penetrated pumping well     

Jiann‐Mou Chen 《水文研究》2008,22(26):5037-5047

Most methods developed to represent water flow phenomena in an unconfined aquifer with a fully penetrated pumping well are either numerical, such as the well‐known FEMWTER model, or experimental; analytical models of a partially penetrated pumping well are rare. This study employs the linearized Richards equation as the governing equation, with the aid of Fourier Integral Transformation, to obtain an analytical solution of the water content distribution in an unconfined aquifer with a partially penetrated pumping well. The results from this study could serve to substantiate in some sense results from numerical models. In addition, the theory developed herein can be modified to simulate a vacuum‐pressured pumping well since it is derived by considering, among others, the location and length of a well screen with fluxes. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   

The Wide Field Spectrograph (WiFeS)     

Michael Dopita  John Hart  Peter McGregor  Patrick Oates  Gabe Bloxham  Damien Jones 《Astrophysics and Space Science》2007,310(3-4):255-268

This paper describes the Wide Field Spectrograph (WiFeS) under construction at the Research School of Astronomy and Astrophysics (RSAA) of the Australian National University (ANU) for the ANU 2.3 m telescope at the Siding Spring Observatory. WiFeS is a powerful integral field, double-beam, concentric, image-slicing spectrograph designed to deliver excellent throughput, wavelength stability, spectrophotometric performance and superb image quality along with wide spectral coverage throughout the 320–950 nm wavelength region. It provides a 25×38 arcsec field with 0.5 arcsec sampling along each of twenty five 38×1 arcsec slitlets. The output format is optimized to match the 4096×4096 pixel CCD detectors in each of two cameras individually optimized for the blue and the red ends of the spectrum, respectively. A process of “interleaved nod-and-shuffle” will be applied to permit quantum noise-limited sky subtraction. Using VPH gratings, spectral resolutions of 3000 and 7000 are provided. The full spectral range is covered in a single exposure at R=3000, and in two exposures in the R=7000 mode. The use of transmissive coated optics, VPH gratings and optimized mirror coatings ensures a throughput (including telescope atmosphere and detector) >30% over a wide spectral range. The concentric image-slicer design ensures an excellent and uniform image quality across the full field. To maximize scientific return, the whole instrument is configured for remote observing, pipeline data reduction, and the accumulation of calibration image libraries.  相似文献   

Huxley方程的定性分析     

陈冲  吕海炜  刘启宽 《成都信息工程学院学报》2009,24(5):509-512

运用微分方程定性理论，对Huxley方程进行定性分析，得到了方程在有限奇点的稳定性及极限环不存在性的结论，并借助Maple软件做出相图．  相似文献