非线性共轭梯度法在东海黑潮流计算中的应用

基于现有的几种海流计算方法,根据与P矢量法相同的动力特性和内在假设,对海流计算提出了一种简单、高效、易扩展、适用范围广的新方法:非线性共轭梯度法.利用1989年4月以来的"中日黑潮合作调查研究"6个航次的CTD资料,对东海黑潮流区域应用非线性共轭梯度法进行了海流计算.通过与船载ADCP实测结果比较表明,非线性共轭梯度法是可行的.     

Preconditioned Optimizing Utility for Large-dimensional analyses (POpULar)

I present the derivation of the Preconditioned Optimizing Utility for Large-dimensional analyses (POpULar), which is developed for adopting a non-diagonal background error covariance matrix in nonlinear variational analyses (i.e., analyses employing a non-quadratic cost function). POpULar is based on the idea of a linear preconditioned conjugate gradient method widely adopted in ocean data assimilation systems. POpULar uses the background error covariance matrix as a preconditioner without any decomposition of the matrix. This preconditioning accelerates the convergence. Moreover, the inverse of the matrix is not required. POpULar therefore allows us easily to handle the correlations among deviations of control variables (i.e., the variables which will be analyzed) from their background in nonlinear problems. In order to demonstrate the usefulness of POpULar, we illustrate two effects which are often neglected in studies of ocean data assimilation before. One is the effect of correlations among the deviations of control variables in an adjoint analysis. The other is the nonlinear effect of sea surface dynamic height calculation required when sea surface height observation is employed in a three-dimensional ocean analysis. As the results, these effects are not so small to neglect.     

Regression Formulations for the Stress at Hot Spot of Multiplanar Tubular DT Joints

- Stress concentration analysis of multiplanar tubular DT joints plays an important role in the fatigue design of offshore platforms. A semi-analytic method for stress analysis under the condition of any loads is briefly introduced in the paper. Nineteen multiplanar tubular DT joints with one of two braces of the same dimension subjected to axial loads and out- of- plane bending moments are computed for parametric stress analysis by using the present method. The influence of geometrical parameters on the stresses of multiplanar tubular DT joints is discussed and compared with corresponding uniplanar T joints. The regression formulae for the stress at hot spot of multiplanar DT joints are found by modification of SCF of corresponding uniplanar T joints. The parametric formulae for the maximum stress by superposition. Finally, the influences of stiffening effect and load-interaction effect on the maximum stress of DT joints are discussed.     

三维地震数据离散光滑插值的共轭梯度法

针对三维地震数据插值,提出采用Laplacian算子进行光滑约束的插值方法,并借鉴Mallet研究的离散光滑插值思路,采用预条件共轭梯度法,直接生成网格节点上的值,从而回避寻求满足插值方程的函数. 为了实现其中Laplacian算子的快速求逆,文中引入Claerbout螺旋坐标系谱因式分解理论. 在螺旋坐标系下,Laplacian算子的表示矩阵具有Toeplitz结构,其快速求逆可由谱法LU分解实现. 基于二维离散光滑插值,文中还给出共轭梯度法与NMO相结合的沿时间切片逐层处理的离散光滑插值流程. 最后,应用该方法对模型数据和实际三维地震数据进行了处理.     

部分预应力混凝土扁梁框架节点的拟静力试验研究

本文进行了四个部分预应力混凝土扁梁框架节点的拟静力试验研究。通过四个不同试件的试验研究分析了节点的变形能力、耗能能力、延性和刚度退化等抗震性能，同时分析了低周反复荷载作用下预应力混凝土框架节点的破坏机理。     

ω循环型边界条件

通过利用预条件共轭梯度法对对称正定Toeplitz 矩阵系统进行分析，重点介绍了一种新的嵌入式预条件矩阵构造方法，证明了以前的预条件矩阵构造方法大都是这种方法的特例.提出了ω循环型边界条件，并将其与普通循环型及螺旋型边界条件作了分析、比较后得到了一种新的边界条件即混合型边界条件.     

Anisotropic damage of rock joints during cyclic loading: constitutive framework and numerical integration

This work describes a constitutive framework for modeling the behavior of rough joints under cyclic loading. Particular attention is paid to the intrinsic links between dilatancy, surface degradation, and mobilized shear strength. The framework also accounts for the important effect of shear‐induced anisotropy. The resulting approach is fully three‐dimensional and is not restricted to plane‐displacement kinematics. Both the governing formulation and an algorithm for implicit numerical integration are presented. While the proposed methods are general, we also postulate a specific model that is compared with experimental data. It employs relatively few free parameters but shows good agreement with laboratory tests. Copyright © 2013 John Wiley & Sons, Ltd.     

塔北隆起X型走滑断裂成因机制的新解释

塔里木盆地塔北隆起发育两组呈小角度相交(40°)的透入性X型走滑断裂,分别沿着NNE走向和NNW延伸。在对塔北哈拉哈塘地区三维地震资料解释的基础上,对走滑断层的几何展布特征以及断层的剖面变形特征进行研究;同时重点解析了RP6断裂和HA13断裂,分析比较NNW向与NNE向断层的变形及发育特征差异;结合盆地重磁资料以及周缘造山带的活动特征,对塔北隆起小角度的X型走滑断层的发育机制以及演化进行了分析。研究表明,塔北隆起走滑断层在垂向上具有明显的分层变形特征,分为三个构造层:震旦系-中寒武统下构造层(TH₃界面以下)、上寒武统-中奥陶统中构造层(TH₃-TO₃t界面)和上奥陶统-石炭系上构造层(TO₃t-TP界面)。断层在下构造层和中构造层中整体处于压扭环境,多发育正花状构造;上构造层中断层主要发育负花状构造或正断层,整体处于张扭环境。两组断裂比较,NNW向断裂活动性强,在各构造层中均有显著的断裂特征发育,垂向连通性强,发育先存基底断裂,而NE向断层主要发育在中构造层,在下构造层和上构造层中断层发育不明显。活动性分析表明,断层的形成与演化具有多期性,走滑断层的形成经历了三期主要活动:中寒武世末、中晚奥陶世和志留纪-石炭纪。塔北隆起X型走滑断裂的形成受到了NNW向基底断裂和薄弱带的控制,NNW向先存基底断裂带或薄弱带优先发育走滑断裂,基底断裂与主挤压应力方向的夹角小于45°-Φ/2,NNE断层的发育受NNW向先存断裂限制,最终形成小角度相交的X型断裂。