海洋水文要素垂直剖面自模性概述(Ⅰ)

海洋水文要素垂直剖面的计算与预报是海洋学家研究的重要方向，也是有关海洋部门关注的重点问题之一。这是因为它的时—空分布与变化不仅反映水团分布、流系消长，同时也决定营养盐类、浮游生物聚集和渔场分布，从而给海洋扑捞、近海养殖、海上平台、海底管线、沿岸工程等带来不可忽视的影响。因此，海洋水文要素垂直剖面模拟及预报方法的研究现已成为海洋工作者亟待解决的课题之一。然而，由于它的时—空变化十分复杂，且影响因子众多，垂直热传导机制及海洋中各种尺度的混合过程难以研究，故有成效的方法尚不多见。C.A.Kитайгородский和ю．э．Mирополъский等借助于无维变量，发现大洋水温垂直剖面存在着自模性特点，并提出了无维模式的拟会公式[1]及某些洋区的经验无维模式[2]，O．B．Pещетова[4]等又将这种模式及参量化方法十分满意地推广到了海水盐度和密度垂直剖面的模拟。本文旨在较全面地介绍前苏联学者在研究海洋水文要素垂直剖面自模性及无维模式方面的重要成果。主要内容有：①海洋活动层分析──θ（η）的发现；②海洋活动层温度创面参量化描述──θ（η）的经验模式；③温（盐、密）度垂直剖面自模函数存在的理论证明；④自模函数θ（η）的应用；⑤自     

关于拟共形映照Mori常数的注记

讨论拟共形映照的偏差问题，加强关于拟共形映照Ｈｏｌｄｅｒ连续性的Ｍｏｒｉ偏差定理     

确定任意磁性体磁化方向的样条函数法

由磁异常Z_α和重力异常g,利用样条函数的微、积分性质,从泊松方程出发,直接解得磁性体的磁化方向。该方法适用于任意形状磁性体的磁异常。     

Resources calculation of cobalt-rich crusts with the grid subdivision and integral method

On the basis of three geological models and several orebody boundaries,a method of grid subdivision and integral has been proposed to calculate and evaluate the resources of cobalt-rich crusts on the seamounts in the central Pacific Ocean.The formulas of this method are deduced and the interface of program module is designed.The method is carried out in the software "Auto mapping system of submarine topography and geomorphology MBChart".This method and program will possibly become a potential tool to calculate the resources of seamounts and determine the target diggings for China's next Five-year Plan.     

Analysis of Dynamic Characteristics of Submarine Free Spanning Pipelines by Complex Damping Method

Considering the effect of the internal flowing fluid and the external marine environmental condition, the differential equation for the vortex-induced vibration (V1V) of the free spanning pipeline is derived and is discretized by the Hermit interpolation function. The free vibration equation with the damping term is solved by the complex damping method for the natural frequency, and then the effect of fluid damping on the natural frequency of the free spanning pipeline is analyzed.The results show that fluid damping has a significant influence on the damped natural frequency of the free spanning pipeline in the lock-in state, while it has little influence when the pipeline is out of the lock-in state. In the meantime,the change of the free span length has the same effect on the damped natural frequency and the undamped natural frequency.     

Optimization Mathematical Model of Pile Forces for Offshore Piled Breasting Dolphins

An optimization mathematical model of the pile forces for piled breasting dolphins in the open sea under various loading conditions is presented. The optimum layout with the well distributed pile forces and the least number of piles is achieved by the multiplier penalty function method. Several engineering cases have been calculated and compared with the result of the conventional design method. It is shown that the number of piles can be reduced at least by 10%—20% and the piles‘ bearing state is improved greatly.     

现场海域水平扩散系数的探讨 Ⅱ．黄河三角洲埕北海域的计算

根据Ｔａｙｌｏｒ的湍流扩散理论和Ｈａｙ、Ｐａｓｑｕｉｌｌ提出的拉格朗日流和欧拉流的相关函数的相似性，用黄河三角洲埕北海域的实测资料，按四种不同方案计算出该海域的水平扩散系数和谱密度分布。指出：该海区潮流扩散系数主要受潮流的影响，其分布特征与潮流的分布基本一致，所求的水平扩散系数主要是由周期性的潮运动给予潮流扰动所致。方案４是通过富氏变换滤波消去了周期性潮流扰动，本方案计算的水平扩散系数是由周期为６ｈ以下的小尺度涡提供能量。     

河口潮位在频域内的一种插补模型

若把河口潮位时间序列简单地看为单输入和输出线性系统模型的输入输出信号，借助频谱分析可以将它们在频域内的关系建立起来，用来进行潮位序列的插补，带通滤波技术的应用可使模型的计算精度大大提高     

Hammerstein型非线性积分方程解的存在性

该文采用化为积分方程组的方法 ,利用锥上不动点指数计算 ,在不要求非线性项 f (x,u)非负的情况下 ,证明 Hammerstein型非线性积分方程 φ(x) =∫Gκ(x,y) f (y,φ(y) ) dy非平凡解和多解存在性的一些新的结果。此结果可用来证明非线性常微分方程两点边值问题解的存在性。