Weak-contrast approximation of the elastic scattering matrix in anisotropic media

The plane-wave reflection and transmission coefficients at a plane interface between two anisotropic media constitute the elements of the elastic scattering matrix. For a 1-D anisotropic medium the eigenvector decomposition of the system matrix of the transformed elasto-dynamic equations is used to derive a general expression for the scattering matrix. Depending on the normalization of the eigenvectors, the expressions give scattering coefficients for amplitudes or for vertical energy flux.Computing the vertical slownesses and the corresponding polarizations, the eigenvector matrix and its inverse can be found. We give a simple formula for the inverse, regardless of the normalization of the eigenvectors. When the eigenvectors are normalized with respect to amplitudes of displacement (or velocity), the calculation of the scattering matrix for amplitudes is simplified.When the relative changes in all parameters are small, a weak-contrast approximation of the scattering matrix, based on the exactly determined polarization vectors in an average medium, is obtained. The same approximation is also derived directly from the transformed elasto-dynamic equations for a smooth vertically inhomogeneous medium, proving the consistency of the approximation.For monoclinic media, with the mirror symmetry plane parallel to the interface, the approximative scattering matrix is given in terms of analytic expressions for the non-normalized eigenvectors and vertical slownesses. For transversely isotropic media with a vertical axis of symmetry (VTI) and isotropic media, explicit solutions for the weak-contrast approximations of the scattering matrices have been obtained. The scattering matrix for amplitudes for isotropic media is well known. The scattering matrix for vertical energy flux may have applications in AVO analysis and inversion due to the reciprocity of the reflection coefficients for converted waves.Numerical examples for monoclinic and VTI media provide good agreement between the approximative and the exact reflection matrices. It is, however, expected that the approximations cannot be used when the symmetry properties of the two media are very different. This is because the approximation relies on a small relative contrast between the eigenvectors in the two media.Presented at the Workshop Meeting on Seismic Waves in Laterally Inhomogeneous Media, Castle of Trest, Czech Republic, May 22–27, 1995.     

模糊理论在公路边坡稳定性分析中的应用

边坡工程是一个复杂的系统工程。边坡的稳定与否直接关系到其防护工作的程度。因此,如何有效、合理地判断边坡的稳定性对整个工程的经济与社会效益极为重要。影响边坡稳定的因素众多,判断其稳定与否应考虑各因素的综合效果。论文运用模糊理论中的多因素综合评判模型对某高速公路边坡的稳定性进行研究。通过全面考虑影响因素,建立相应的评判因素集及单因素评判矩阵,运用专家评判法和判断矩阵法确定出各因素的权重。最后通过多层次模糊评判得到该边坡的稳定性评判结果。研究证明,该法在边坡稳定性分析评判中是切实可行的。     

金刚石工具富铁胎体掺杂稀土的研究

稀土的加入量、加入形态和在混料中的均匀弥散性直接影响热压富铁金刚石复合材料的性能。改进的稀土掺杂工艺，保证了稀土在胎体中的均匀弥散性；通过试验研究了稀土的加入量与富铁胎体的抗弯强度、抗冲击韧性和孔隙率的关系，从而确定了稀土的最优加入量。通过差热分析试验，认为稀土可以改变富铁胎体的热物理特性。     

因子计量图的新思路

R型因子分析中，因子计量从所有原始变量中将某一特定因子的有关信息集中起来，可被用来解释某一特定地质作用形成的样品在不同空间的分布等问题，由已知典型地质体的元素含量等地球化学指标计算出来的因子计量系数矩阵作为模型，用这个模型可以计算未知地质体的因子计量，这种方法，不仅可以节省每次加入新样品或舍去部分样品时所有因子计量图都需要重新做的繁重的工作量，而且更重要的是这种图的地球化学意义明确，使我们能够用已知的典型地质现象去预测未知地质观象提供了一条新的途径。     

MATLAB及其在重力基点网平差中的应用

MATLAB作为最优秀的数学软件之一，在国内外工程技术界产生愈来愈大的影响，其强大的数据计算和图形显示功能尤为突出。复杂的物探重力基点网平差计算通过用MATLAB的矩阵计算功能，变得简单易懂。而编制的MATLAB的M文件程序，计算快速准确。相信MATLAB在物探数据处理工作中将发挥重要的作用。     

大庆徐家围子地区深部致密砂砾岩气层识别

大庆徐家圈子地区深部致密砂砾岩储层的骨架成分除了含有石英、长石外，还含有许多酸性喷发岩，而且各种骨架成分的含量随深度变化比较大；复杂的岩性使得气的影响被岩性的影响所淹没，从而造成常规气层识别方法失效。针对这一问题，应用神经网络方法准确求取地层颗粒密度和泥质含量，然后对中子和密度测井值进行岩性影响校正和泥质影响校正，使得求出的中子和密度孔隙度仅受地层气的影响，最后将得到的中子和密度孔隙度进行对比，应用中子和密度孔隙度的差异识别气层。     

GPS载波相位三差观测方程的改化

本文根据相关测量平差原理推导出改化ＧＰＳ载波相位三差观测方程的算法，使改化后的协因数呈分块对角体。这种改化算法不但顾及观测值的相关性，而且节省大量的存储单元。使采用严密平差法平差三差观测值成为一种最简单的数据处理方法之一。     

重力场中的完整坐标与非完整坐标

阐明重力场中完整坐标系、非完整坐标系及其之间的转换关系以及完整坐标系的存在对大地测量的意义．指出水准测量中的理论闭合差是由于它所参照的局部笛卡尔坐标系是一个非完整坐标系导致的，并给出了计算理论闭合差的严密公式．     

极化分析研究及其在波场分离中的应用

不同的波在空间的质点运动轨迹和极化方向是不同的，利用三分量或二分量记录，在特定的以ｔ０为中心，长为Ｎ△ｔ的滑动时窗中计算出描述波的质点运动轨迹和极化方向的特征参数。利用这些参数可以设计出合适的极化滤波函数，保留那些满足特定要求的质点运动，而衰减那些不满足设计要求的质点运动，利用某些算子可以把弹性波分解成Ｐ波和ＳＶ波，而且衰减面波；利用另外一些算子可以把Ｐ波和ＳＶ波衰减而使面波增强。这些算子甚至可以在嗓音和信号具有相同频率的情况下，成功地提高信嗓比。     

Influence of gas production induced volumetric strain on permeability of coal

Summary The gas permeability of a coalbed, unlike that of conventional gas reservoirs, is influenced during gas production not only by the simultaneous changes in effective stress and gas slippage, but also by the volumetric strain of the coal matrix that is associated with gas desorption. A technique for conducting laboratory experiments to separate these effects and estimate their individual contribution is presented in this paper. The results show that for a pressure decrease from 6.2 to 0.7 MPa, the total permeability of the coal sample increased by more than 17 times. A factor of 12 is due to the volumetric strain effect, and a factor of 5 due to the gas slippage effect. Changes in permeability and porosity with gas depletion were also estimated using the measured volumetric strain and the matchstick reservoir model geometry for flow of gas in coalbeds. The resulting variations were compared with results obtained experimentally. Furthermore, the results show that when gas pressure is above 1.7 MPa, the effect of volumetric strain due to matrix shrinkage dominates. As gas pressure falls below 1.7 MPa, both the gas slippage and matrix shrinkage effects play important roles in influencing the permeability. Finally, the change in permeability associated with matrix shrinkage was found to be linearly proportional to the volumetric strain. Since volumetric strain is linearly proportional to the amount of gas desorbed, the change in permeability is a linear function of the amount of desorbing gas.