分层扰动位能理论及其应用——以南海夏季风的年际变化为例

在扰动位能(PPE)理论的基础上,针对不同高度上局地环流能量转换问题,本文提出了分层扰动位能(LPPE)的概念.研究表明850hPa的分层扰动位能一阶矩(LPPE1)在热带地区为正,高纬度地区为负,200 hPa高度LPPE1在北美高纬度地区出现正值分布,100 hPa及以上LPPE1热带地区为负,高纬度为正.LPPE1冬季半球的分布与年平均相似,北半球夏季大陆上出现正的极大值.在局地,LPPE1在数值上远远大于分层扰动位能二阶矩(LPPE2)及更高阶矩,因此,LPPE的分布与LPPE1的分布相似.南海季风区低层动能的季节变化与LPPE呈现反向变化关系.相关分析表明,南海夏季风(SCSSM)与春季的LPPE1偶极型分布之间存在着显著的年际(正)相关关系,可以作为SCSSM强度的一个预报因子.春季赤道印度洋、西太平洋海表温度(SST)的负(正)异常对应春季、夏季LPPE1的南负北正(南正北负)偶极型分布,夏季(JJAS) LPPE1的偶极型分布与南海季风区动能的一致增大(减小)是两者耦合模态的主导模态,夏季南海季风区的西风增强(减弱), SCSSM增强(减弱),这是能量异常影响SCSSM的一个可能的机制.     

剪切载荷扰动对断层摩擦影响的实验研究

利用双轴伺服控制加载装置,采用3块花岗闪长岩标本组成的含有2个滑动面的直剪结构,开展了摩擦滑动实验。实验中通过在剪切方向上叠加正弦波状的位移扰动,研究了剪应力扰动对断层粘滑失稳的影响。研究表明,在恒定的正应力和位移速率下,标本表现出较为规则的粘滑;当在剪切方向叠加位移扰动后,随扰动振幅的增加,粘滑发生时间与扰动的相关性增大,粘滑的应力降和时间间隔的分布趋于离散,其中扰动能产生明显影响的临界振幅大致为0.05MPa;粘滑应力降和时间间隔随扰动振幅增大而逐渐离散的现象在较高正应力下更为明显,而相同扰动振幅下粘滑失稳发生时间与扰动的相关性也随正应力增加而增大;扰动周期对摩擦性状的影响不明显。研究结果意味着,地震引起的同震剪应力的变化不仅会引起邻近断层上地震发生时间的变化,也可能引起地震强度的变化     

柱坐标系下任意埋藏源层状弹性半空间问题的奇异解

通过方位角的Fourier变换及关于径向的Hankel变换，将柱坐标系下一般形式的弹性力学基本方程和本构方程转化为波数域内非齐次的二阶常微分方程组，利用初参数法，建立了介质层传递矩阵．利用层间完全接触条件，给出了任意埋藏源层状弹性半空间频域奇异解，时域奇异解可通过关于频率的Fourier积分得到，该方法可应用到固体、流体层的情况.     

一种新的三维大地电磁积分方程正演方法

采用规则六面体单元和并矢Green函数奇异积分等效积分技术,已有的大地电磁积分正演方法具有不能有效模拟地下复杂地质体和计算精度偏低的缺点.本文提出了一种新的三维大地电磁积分方程正演技术,即采用四面体单元、解析的并矢Green函数奇异积分表达式,达到既能模拟地下复杂异常体,又能有效提高已有积分方程法计算精度的目的.首先,采用四面体网格技术离散地下复杂异常体,获得四面体单元上的大地电磁积分方程.然后,利用针对四面体单元开发的新的奇异值积分的解析表达式,准确计算线性方程中的并矢Green函数的奇异积分,从而获得精确的线性方程.借助于PARDISO高性能并行直接求解器,实现了三维大地电磁问题的高精度求解.最后,基于国际标准3D-1模型和六棱柱模型,通过与其他方法结果的对比分析,验证了本文方法的正确性、处理高电导率对比度的能力（1000：1）和处理复杂模型的能力.

     

Second-Order and Higher-Order Perturbations of Travel Time in Isotropic and Anisotropic Media

The partial derivatives of travel time with respect to model parameters are referred to as perturbations. Explicit equations for the second-order and higher-order perturbations of travel time in both isotropic and anisotropic media are derived. The perturbations of travel time and its spatial derivatives can be calculated by simple numerical quadratures along rays.     

Boundary element method for analyzing flow through a random semiconfined aquifer

With the aid of perturbation technique a boundary element procedure is developed for solution of two-dimensional Helmholtz equation with a random parameter of small variability. The perturbation boundary element method does not require specification of probability density function of the parameter but only its mean and standard deviation. The method is used to analyze steady-state groundwater flows in a horizontal shallow semiconfined aquifer (homogeneous and isotropic) of probabilistic properties. To illustrate the applicability of the method, a simple numerical example is presented. As the nature of perturbation method suggests, the developed method is valid only when the perturbed value of the parameter is of a small order.     

中国夏季高温与北极海冰的联系特征

为研究前期以及同时期北极海冰异常对中国夏季高温的影响,根据近50年来中国160个台站的夏季高温资料以及近50年来的北极海冰资料,用SVD诊断分析方法,提取出两场相关最强,协方差最大的三个时次--分别为同期、海冰超前夏季高温9个月和超前13个月.分析研究表明:当北极海冰发生异常时,中国夏季高温异常的响应是滞后的,尤其是滞后9个月、13个月时;北极海冰在1978-1979年突然异常减少,且1979年以后维持海冰偏少的态势;当前期或同时期的北极海冰出现异常增多(减少)时,在中国夏季高温场上的响应以"南区"、"北区"夏季高温异常偏低(偏高),与海冰变化反位相;"中区"夏季高温异常偏高(偏低),与海冰变化同位相.     

Sensitivity to Tendency Perturbations of Tropical Cyclone Short-range Intensity Forecasts Generated by WRF

The present study uses the nonlinear singular vector(NFSV) approach to identify the optimally-growing tendency perturbations of the Weather Research and Forecasting(WRF) model for tropical cyclone(TC) intensity forecasts. For nine selected TC cases, the NFSV-tendency perturbations of the WRF model, including components of potential temperature and/or moisture, are calculated when TC intensities are forecasted with a 24-hour lead time, and their respective potential temperature components are dem...     

Metamorphic evolution of the Bunger Hills, East Antarctica: evidence for substantial post-metamorphic peak compression with minimal cooling in a Proterozoic orogenic event

ABSTRACT The Bunger Hills, East Antarctica, experienced a low-pressure granulite facies orogenic event during the Proterozoic. The stable coexistence of the S1 foliation-parallel M1 assemblages, garnet-cordierite-spinel-ilmenite and garnet-sillimanite-spinel-ilmenite-rutile, in quartz-bearing pelitic gneisses is evidence for metamorphic peak pressures of around 4 kbar during M1, at temperatures of about 800°C. The growth of massive reaction coronas of garnet and cordierite around hercynitic spinel and iron-titanium oxides during M2 is evidence for the destabilization of the M1 assemblages during compression. Thermodynamic calculations on the M2 assemblages indicate formation pressures of 6–7 kbar at temperatures of about 750°C. Thus, the gneisses from the Bunger Hills indicate about 2 kbar or more of compression during minimal cooling. Such a P-T path is different from that of many other Proterozoic terranes which are characterized by isobaric cooling or decompression. A large charnockite body, which is undeformed, was intruded at ～950°C, towards the end of compression. The low pressures during M1 can be best explained by metamorphism at mid-crustal levels in thin continental crust in thin lithosphere above a thermal perturbation in the underlying asthenosphere. We suggest that the compression during cooling was a result of gravitational backflow in which the action of body forces between adjacent normal thickness crust and the thin crust of the Bunger Hills is 'switched on’by the thermal perturbation. Within such a model, the timing of intrusion of the charnockite exposed in the Bunger Hills is consistent with its generation by partial melting during the metamorphic maximum of the lowermost crust.     

Macroscopic Electroosmotic Coupling Coefficient in Random Porous Media

A general analysis of electroosmotic phenomena is given for random porous media through which an electrolyte flows. A dimensional analysis demonstrates the crucial importance of the dimensionless coupling parameter a, which is usually very small when compared to 1; this suggests an expansion in terms of a and a numerical scheme that avoids the instabilities occurring in the direct solution. For media whose properties such as permeability are lognormally distributed, an analytical expression of the macroscopic coupling coefficients can be obtained when the fluctuations are small. Various results are provided for laminated media, correlated media, and stratified or fractured media. The influence of some macroscopic geometrical parameters is illustrated.