The Forced Secondary Circulation of the Mei-yu Front

Using National Centers for Environmental Prediction reanalysis data for the period 28 June to 12 July during 2001 to2013, the secondary circulation(SC) associated with the mei-yu front was quantitatively diagnosed by numerically solving a primitive version of the Sawyer-Eliassen equation. Results demonstrate that a direct SC exists near the mei-yu front zone during mid-summer and the synoptic-scale geostrophic deformations are the main factors determining SC structures. About94% of the sinking strength and 61% of the ascending strength in the SC are induced by the geostrophic deformations.Other terms, such as diabatic heating, ageostrophic dynamical forcing, and frictional forcing, mainly influence the fine flow pattern of the SC. The forced SC produces a frontogenesis area tilting to the north with altitude. Further diagnosis clarifies the positive feedback involving the geostrophic shear forcing and vorticity frontogenesis in the upper-level mei-yu front zone. Furthermore, statistical results indicate that all 34 deep convection cases that occurred in the warm region of the meiyu front over the period 2004-2013 experienced high-level frontogenesis associated with along-jet cold advection. The cyclonic shear forcing "moved" the monsoon SC's subsidence branch to the warm side of the mei-yu front and caused the subsidence branch to extend downwards to the lower troposphere, conducive to the initiation of deep convection in the warm region of the mei-yu front.     

构造热演化的数值模拟方法

对模拟构造热演化的二维和三维非稳态热传导-平流微分方程的数值求解进行了研究.在空间和时间上分别应用有限单元法和差分法进行离散化处理;推导了非稳态热传导-平流有限元方程.在求解技术上发展了“迎风”权函数方法,将有限元法、有限差分法和“迎风”权函数法结合起来,使用变网格、变结点方法对地质体的运动介质、运动边界、多热源的非线性、非稳态的构造热演化进行了模拟.并对各种热源体的处理、初始条件和边界条件的处理进行了分析.     

大气遥感最小二乘反演法最优方程的建立和效果研究

以“使反演误差均方达最小”为准则,用不同的回归方法寻求最优通道组合,建立大气温湿遥感最小二乘反演法最优方程,以避免因自变量过多产生计算病态而造成的回归系数不稳定。通过实例比较最优子集法、前进法、后退法、逐步回归法以及文中提出的单F逐步回归法和定M逐步回归法等各种方法所得方程的回归效果。单F和定M逐步回归法不仅计算简单、意义明确,而且实际效果较好,接近于最优子集法的结果。     

二维地层结构和速度的走时反演

介绍了在倾斜均匀各向同性层状介质情况下,根据地震反射走时反演二维地层结构和地层速度的地震射线层析成像方法——走时反演。正演模型射线追踪是根据Fermat原理实现的,即求解满足该原理的非线性方程组得到射线与界面的交点,进而计算相应的走时。反演是先假设一初始模型,用最优化方法使射线追踪走时与观察走时的残差极小。最后计算了分辨矩阵和信息密度矩阵,以评价反演结果。对有噪情形也进行了反演。     

变磁化方向化磁极理论

发展了磁偶层位势理论,证明沿任意方向磁化的磁偶层位势函数(1)在全空间有意义;(2)在曲面S上连续并有确定的极限;(3)当U(P)|_s、M~0(Q)给定时,M(Q)有唯一解,在此基础上,结合磁化方向与磁场分量方向互换定理,建立变磁化方向化磁极理论。     

ENERGY EQUATION AND SYMMETRIC INSTABILITY CRITERION

In this paper,by using generalized normal mode method the symmetric instability criterion which can be used not only in the constant parameters but also in the variable parameters was derived from the energy equation on the symmetric disturbance.If the thermal wind was in balance or quasi-balance,the criterion was consistent with that obtained by Emanuel with parcel method and Hoskins with normal mode method.It is shown that in the generating stage of disturbance,the symmetrically instable development of disturbance is associated with the energy transformation by which the energy of the basic field is transferred into the energy of the disturbance field.     

ATMOSPHERIC WAVE AND ITS PHYSICAL ESSENCE AS REVEALED BY CHANGED CORRELATION COEFFICIENTS AND CORRELATION FIELD*

Formal change is made of the correlation coefficient(COCOEF) expression,leading to a new formula consisting of Fourier spectral coefficients that indicates a direct connection between the new form and atmospheric dynamic equations,thus resulting in a dynamic equation represented by COCOEF,which is meaningful in exploring a large-scale dynamic process in terms of the correlation field because the connection revealed by the field can have dynamic explanation with the aid of the new formula.     

有能量吸收的一维波动方程的阻抗反演

本文讨论了一维粘弹性波阻抗反演的迭代法。根据一维波动方程和ＫｅｌｖｉｎＶｏｉｇｔ粘弹模型导出了一个适于数值计算的第二类Ｖｏｌｔｅｒｒａ型积分方程，用迭代法求解。通过对已有方法的改进和完善，数值计算表明了该反演方法具有一定的精度、抗干扰能力和分辨率以及应用于实际水平层状地层反射地震记录反演阻抗的可能性．     

三维波动方程有限差分正演方法

三维地震资料的处理和解释都需要有效的三维正演模型予以验证．本文提出一种在ｘ－ｔ域实现快速、高精度的有限差分正演方法，采用了独特的“平行四边形网格”，并用Ｐ－Ｒ交替差分格式使三维波动方程可以局部地分裂成二维求解方程，从而有效地减少运算量．