一类广义Sine-Gordon方程的概周期解   总被引：4，自引：0，他引：4  

朴大雄  邱汶华 《中国海洋大学学报(自然科学版)》2006,36(6):892-894

用最大值原理和Banach压缩映像原理研究一类广义Sine-Gordon方程的概周期解问题,证明概周期解的存在‖u‖L∞<π2中的唯一性。  相似文献   

两层分层流体中初始内孤立波分裂的数值研究     

徐肇廷  贾村  陈旭  文凡 《中国海洋大学学报(自然科学版)》2006,36(3):345-348

本文导得了1个研究内波分裂的射线型二维KdV方程。利用这一方程的一维退化方程进行了实验室尺度下孤立子型内波分裂的数值研究。数值结果表明,深水区的初始内孤立波和实测的内孤立波(内潮)在通过陆坡区时都会产生分裂,并在陆架上(浅水区)生成一内孤立子波列。这表明在实际海洋条件下,深海区内潮的分裂是陆架上海洋内孤立子波包(或波列)生成的主要机制之一。  相似文献   

频率域2.5-D井间波形层析成像及其实际应用   总被引：1，自引：0，他引：1       下载免费PDF全文

曹辉  陈国金  郭建  吴永栓  姚振兴 《地球物理学报》2008,51(3):915-923

从频率域3-D声波波动方程出发,结合井间观测方式的特点,基于Tarantola广义反演理论,提出了一种频率域2.5-D井间波形层析成像方法.数值模型试验结果表明：该方法对薄层厚度的分辨能力能达到约主频波长的1/4,且分辨率显著高于走时层析成像,尤其垂直分辨率有实质改善.模拟资料的抗噪试验表明：在信噪比为0.8的情况下,随机噪声对波形层析成像的影响较小;而相干噪声对全波形层析成像的影响显著,特别是初至波附近的强振幅干扰影响更为严重.井间实际资料的试处理结果表明：波形层析成像能很好地刻画井间介质的分布情况与储层连通性,对于油藏开发阶段的方案实施具有指导意义.  相似文献   

非均匀套管井中的过套管电阻率测井响应   总被引：13，自引：2，他引：11       下载免费PDF全文

高杰  刘福平  包德洲  程希  杨长春 《地球物理学报》2008,51(4):1255-1261

套管井壁的电势分布包含了金属套管和地层模型的信息,套管电阻率的变化对过套管电阻率测井有重要影响,本文考虑了套管电阻率的变化对传输线方程系数的影响,给出了非均匀套管壁电势分布的计算方法．利用套管井壁电势分布实现了非均匀套管测井响应的计算,考察了套管电阻率变化对过套管电阻率测井响应的影响,模拟结果表明,套管的变薄或变厚对测井响应均有一定影响,当套管电阻突然变小（套管变厚）或突然变大（套管变薄）时过套管电阻率测井异常发生在套管电阻突变界面附近．模拟结果还显示电极距对测井结果有明显影响．  相似文献   

基于弧段标记的交通网络时间最短路径算法   总被引：2，自引：0，他引：2  

高松  陆锋 《地球信息科学学报》2008,10(5):604-610

标号算法是经典的最短路径算法之一,在交通领域中具有广泛的应用。在交通领域中,时间最短路径比距离最短路径更有意义,而时间最短路径不仅与道路的时间权值有关,还与道路之间的转弯阻抗有关。在传统的交通路网抽象方式下,道路抽象为平面图中的弧段,道路间的交叉口抽象为节点。本文介绍了一种适用于传统交通路网模型的弧段标记时间最短路径算法,详细阐述了该算法的原理、数据基础与运行结构。通过分析和实例测试表明,该算法可以顾及城市路网在路口的交通限行与转弯延迟的影响,并且时间复杂度低,具有一定的实际应用价值。  相似文献   

Highly efficient iterative methods for solving linear equations of three-dimensional sphere discontinuous deformation analysis     

Gang-Hai Huang  Yuan-Zhen Xu  Xiong-Wei Yi  Ming Xia  Yu-Yong Jiao  Shu Zhang 《国际地质力学数值与分析法杂志》2020,44(9):1301-1314

The efficiency of solving equations plays an important role in implicit-scheme discontinuous deformation analysis (DDA). A systematic investigation of six iterative methods, namely, symmetric successive over relaxation (SSOR), Jacobi (J), conjugate gradient (CG), and three preconditioned CG methods (ie, J-PCG, block J-PCG [BJ-PCG], and SSOR-PCG), for solving equations in three-dimensional sphere DDA (SDDA) is conducted in this paper. Firstly, simultaneous equations of the SDDA and iterative formats of the six solvers are presented. Secondly, serial and OpenMP-based parallel computing numerical tests are done on a 16-core PC, the result of which shows that (a) for serial computing, the efficiency of the solvers is in this order: SSOR-PCG > BJ-PCG > J-PCG > SSOR>J > CG, while for parallel computing, BJ-PCG is the best solver; and (b) CG is not only the most sensitive to the ill-condition of the equations but also the most time consuming under both serial and parallel computing. Thirdly, to estimate the effects of equation solvers acting on SDDA computations, an application example with 10 000 spheres and 200 000 calculation steps is simulated on this 16-core PC using serial and parallel computing. The result shows that SSOR-PCG is about six times faster than CG for serial computing, while BJ-PCG is about four times faster than CG for parallel computing. On the other hand, the whole computation time using BJ-PCG for parallel computing is 3.37 hours (ie, 0.061 s per step), which is about 36 times faster than CG for serial computing. Finally, some suggestions are given based on this investigation result.  相似文献   

Comparison of scenario‐neutral approaches for estimation of climate change impacts on flood characteristics     

Luise Keller  Ole Rssler  Olivia Martius  Rolf Weingartner 《水文研究》2019,33(4):535-550

Scenario‐neutral assessments of climate change impact on floods analyse the sensitivity of a catchment to a range of changes in selected meteorological variables such as temperature and precipitation. The key challenges of the approach are the choice of the meteorological variables and statistics thereof and how to generate time series representing altered climatologies of the selected variables. Different methods have been proposed to achieve this, and it remains unclear if and to which extent they result in comparable flood change projections. Here, we compare projections of annual maximum floods (AMFs) derived from three different scenario‐neutral methods for a prealpine study catchment. The methods chosen use different types of meteorological data, namely, observations, regional climate model output, and weather generator data. The different time series account for projected changes in the seasonality of temperature and precipitation, in the occurrence statistics of precipitation, and of daily precipitation extremes. Resulting change in mean AMF peak magnitudes and volumes differs in sign between the methods (range of ?6% to +7% for flood peak magnitudes and ?11% to +14% for flood volumes). Moreover, variability of projected peak magnitudes and flood volumes depends on method with one approach leading to a generally larger spread. The differences between the methods vary depending on whether peak magnitudes or flood volumes are considered and different relationships between peak magnitude and volume change result. These findings can be linked to differing flood regime changes among the three approaches. The study highlights that considering selected aspects of climate change only when performing scenario‐neutral studies may lead to differing representations of flood generating processes by the approaches and thus different quantifications of flood change. As each method comes with its own strengths and weaknesses, it is recommended to combine several scenario‐neutral approaches to obtain more robust results.  相似文献   

Review of Global Ocean Intermediate Water Masses: 1.Part A, the Neutral Density Surface (the ‘McDougall Surface’) as a Study Frame for Water-Mass Analysis     

Yuzhu You )  )  * ) The University of Sydney Institute of Marine Science 《中国海洋大学学报(英文版)》2006,(3)

1Preface Todescribeoceanicintermediatewatermasses,itis necessarytohaveawell definedstudyframeorsurfacebecauseofthefluctuationnatureofintermediatewa ters.Itiswellunderstoodthatoceanicwater mass mixingdoesnotalignwitheitheraconstantgeopoten tialdepthorapropertysurfacesuchastemperature,salinity,pressureanddensitysurfacesbutfollowsa neutraldensitysurface.Thisisbecauseawaterparcelmovesasmalldistanceisentropicallyandadiabaticallyontheneutraldensitysurfacewithoutdoingworka gainstabuoyantrestoringforc…  相似文献   

Observations on seismic wave equation and reflection coefficient symmetries in stratified media     

C. Thomson  T. Clarke  J. Garmany 《Geophysical Journal International》1986,86(2):675-686

Summary. The equations describing seismic waves in a stratified earth have a number of symmetry properties, one of which has recently been used by Garmany to derive a simple expression for the inverse of the matrix of eigenvectors appearing in the solution of the equations. We review these symmetries of the wave equation in several notations to demonstrate that the property used by Garmany is distinct from the usual symmetries found in the seismological literature. Like the others, the new symmetry has implications for the reflection and transmission properties of a medium. These implications are briefly reviewed in order to show how the new symmetry is placed relative to the others. A limited discussion of the physical origins of the symmetries is given and, though the overall picture is incomplete, it is noted that the new symmetry yields conservation of energy for reflection/transmission at a single interface in all types of media (anisotropic, lossy, etc.).  相似文献   

On a class of variational equations transformable to the Gauss hypergeometric equation     

Haruo Yoshida 《Celestial Mechanics and Dynamical Astronomy》1992,53(2):145-150

A new class of linear ordinary differential equations with periodic coefficients is found which can be transformed to the Gauss hypergeometric equation, and therefore the monodromy matrices are computable explicitly. These equations appear as the variational equations around a straight-line solution in Hamiltonian systems of the form H = T(p) + V(q), where T(p) and V(q) are homogeneous functions of p and q, respectively.  相似文献