求解矩阵链乘序的最优划分树算法

作者提出了关于矩阵链乘最优三角划分的一些定理和最优划分树的概念，并根据这些理论，得出一种时间花费为Ｏ（ｎｌｏｇｎ）的矩阵链乘最优次序求解算法。     

Atomic coherences and level-crossings physics

A synthesis work about the interaction of matter with polarized radiation, applied to solar magnetic field diagnostics, has recently been done by Stenflo (1994). This synthesis uses the classical theory of matter-radiation interaction - supplemented by the theory of partial redistribution of Omont, Smith, and Cooper (1972), on the one hand, and full quantum matter-radiation interaction theory, unable to take into account the partial frequency redistribution effects, on the other hand. The need of a full quantum approach taking into account the partial frequency redistribution effects appears as a unifying purpose; the present work, using the density matrix formalism, is a first attempt in this direction.     

Non-LTE polarized radiative transfer in intermediate magnetic fields: Numerical problems and results

This paper presents some numerical results relative to a solution, based on the density matrix formalism, of the non-LTE, polarized radiative transfer problem for a two-level atom. The results concern the atomic upper level population and alignment, and the emergent radiation Stokes profiles, for a plane-parallel, static, isothermal atmosphere embedded in a magnetic field of intermediate strength, such that the Zeeman splitting has to be taken into account in the line profile. Zeeman coherences are neglected, whereas magneto-optical effects are taken into account, resulting in a full 4×4 absorption matrix. Induced emission is neglected and complete frequency redistribution, in the rest and laboratory frames, is assumed. Pure Doppler absorption profile (gaussian shape) has also been assumed. The presentation of the results is preceded by a brief discussion of their accuracy and of the numerical difficulties that were met in the solution of the problem.On leave from the Dipartimento di Astronomia e Scienza dello Spazio, Università di Firenze, Largo E. Fermi 5, I-50125 Firenze, Italia     

利用GRONWAL 定理确定非线性电路平衡点全局渐近稳定性

提出了一种新 扮析非线性电路平衡点全局渐进稳定的方法。这种方法以GRONWALL定理为基础，结合平衡点的渐进稳定判断依据，决定平衡点的全局渐近稳定性。与目前所采用的LIYAPUNOV直接法相比，该法具有无须判断平衡点的唯一性，判别方程直接明了等优点。同时，该法对于其他形式的非线性系统的分析，也有重要的启发性及应用价值。     

利用矩阵分解理论的双程波方程叠前深度偏移方法

叠前深度偏移理论及方法一直是地震数据成像中研究的热点问题.业界对单程波叠前深度偏移方法和逆时深度偏移开展了深入的研究,但对双程波方程波场深度延拓理论及成像方法的研究还鲜有报道.本文以地表记录的波场值为基础,利用单程波传播算子估计波场对深度的偏导数,为在深度域求解双程波方程提供充分的边界条件,并提出利用矩阵分解理论实现双程波方程的波场深度外推.通过对强速度变化介质中传播波场的计算,与传统的单程波偏移方法相比,本文提出的偏移方法计算的波场与常规有限差分技术计算的波场相一致,证明了本方法计算的准确性.通过对SEAM模型的成像,在相同的成像参数下,与传统的单程波偏移算法和逆时深度偏移算法方法相比,本文提出的偏移方法能够提供更少的虚假成像和更清晰的成像结果.本文所提偏移算法具有深度偏移和双程波偏移的双重特色,推动和发展了双程波叠前深度偏移的理论和实践.     

小波多分辨分析方法在波动方程正演模拟中的应用

初步探讨小波多分辨分析理论在地震波动方程正演模拟中的应用，给出一种基于地震波场局部变化性质而自适应调空间网格点的波动方程数值算法，目前求解波动方程所用的有限差分法、有限元法以及伪谱法都不能根据波场的局部变化性质而动态选择空间网格点的大小、小波基函数在空间域和频域中都具有局部性特征，它的性质优于有限差分法，有限元法和伪谱法中所用的基函数，通过阀值运算，地震波场失发辨表示变得非常稀疏，同时地下介质中的主要信息又不会受到损害，本文将声波场的多分辨表示变得非常稀疏，同时地下介质中的主要信息又不会受到损害，本文将声波方程的矩阵表示形式小波多分辨分析的框架下进行了展开，通过对算子长阵的地震波场矩阵进行多分辨分解和压缩，得到了小波域中地震波场正演模拟算法。     

海城市南台镇多层砖房易损性分析

通过对多层砖房的普查和抽样调查取得的原始资料,用多层砖房震害预测方法和软件进行易损性分析,给出重要房屋单体震害预测结果和群体房屋的易损性矩阵．     

Constraining Navigation by Matching Swath Bathymetry and Gravity Measurements at Ship Track Crossovers

A method which utilizes the lateral offset information obtained by comparing swath bathymetric data at track crossover points as a further constraint on the navigation is presented. The method, based on generalized least squares inversion theory, derives a new navigational solution that minimizes the overall misfit between the pairs of topography at crossovers while trying to remain smooth and close to the starting model. To achieve a high numerical efficiency during inversions of large matrices, we employed sparse matrix algorithms. The inversion scheme was applied to a set of Sea Beam data collected over the East Pacific Rise near 9° 30' N in early 1988 at the time when the Global Positioning System had limited coverage. The starting model was constructed by taking evenly spaced samples of positions along the tracklines. For each one of the 361 crossovers, we gridded the bathymetric data around the crossover point compared the gridded maps, and calculated the offset and uncertainty associated with this estimation. A suite of inversion solutions were obtained depending on the choice of three free parameters (that is, the a priori model variance, the correlation interval of a priori model, and the trade-off coefficient between fitting the data and remaining close to the a priori model). The best solution was chosen as one that minimizes both the Sea Beam topography and free-air gravity anomaly differences at crossovers. The improvement was significant; the initial rms mismatch between the tracks and free-air gravity anomalies at crossovers was reduced from 610m to 75m and from 2.5mGal to 1.9mGal, respectively.     

基于反演基质矿物模量和多约束条件的双相介质AVO正演方法（英文）

基于双相介质理论的AVO正演技术是储层性质描述和流体预测的有效技术手段之一,但是输入参数中基质矿物模量的准确性和双相介质模型的的合理性极大地影响双相介质AVO正演效果。因此,本文采用基于流体因子的基质矿物模量反演方法,自适应反演基质矿物体积模量。引入具有岩石物理意义的多约束条件,使得流体替换技术制作的双相介质模型具有岩石物理意义。保证获得的双相介质AVO特征反映实际地层响应,真实可靠。通过不同岩性岩样的对比分析,说明反演方法的优越性和准确性。同时LH地区实际资料应用,获得孔隙度和流体饱和度等重要岩性参数变化时双相介质AVO特征,特别是不同储层孔隙度在同一入射角对应快纵波和横波反射系数幅值的大小差异和突变角差异是分辨储层孔隙度大小的依据。     

Wetting weakening of tertiary sandstones—microscopic mechanism

The micromechanism accounting for wetting weakening of tertiary sandstones was studied. It was found that intragranular fracture prevails for all dry sandstones. However, when the sandstone is wet, intergranular fracture occurs for Type B sandstones. Therefore, one sandstone from Type A sandstones, MS1, and another from Type B, TK, were selected to further investigate the nature of the matrix. It was found that (1) for both sandstones, the major mineral components of the matrix are illite and kaolinite except that the MS1 sandstone has more chlorite; (2) leaching of matrix induced an increase of porosity and consequently results in leaching softening; and (3) among the mineral composition, chlorite is easiest to be dissolved and leached out and induces a more significant increase of porosity, which, in turn, results in a more significant leaching softening.