Fully normalized spherical cap harmonics: application to the analysis of sea-level data from TOPEX/POSEIDON and ERS-1

We introduce two sets of fully normalized harmonics for the spectral analysis of functions defined on a spherical cap. The harmonics are the products of Fourier functions and the fully normalized associated Legendre functions of non-integer degree. Using Sturm-Liouville theory for boundary-value problems, we present two convenient and stable formulae for computing the zeros of the associated Legendre functions that form two sets of orthogonal functions. Formulae for the stable numerical evaluation of the fully normalized associated Legendre functions of non-integer degree that avoid the gamma function are also derived. The result from the expansions of sea-level anomaly from altimetry into Set 2 fully normalized cap harmonics shows fast convergence of the series, and the degree variances decay rapidly without aliasing effects. The zero-degree coefficients (Set 2) of sea-level anomaly from TOPEX/ POSEIDON (T/P) and ERS-1 indicate an El Niño event during 1993 January-1993 July, and a La Niño event during 1993 November-1994 July, although the ERS-1 result is less obvious. Ocean circulations over the South China Sea and the Kuroshio area are clearly identified with the low-degree expansions of sea-surface topography (SST) from T/P and ERS-1. A cold-core eddy of 4° in diameter centred at 17.5°N, 118 E was detected with the expansion of SST from T/P cycle 47, and a property of the cap harmonics is used to compute this eddy's kinetic energy. The kinetic energy is at a low in winter and high in summer, and its variation seems to be periodic with an amplitude of 0.4 m² S^-2.     

利用不纯净十水芒硝与纯净氯化钾制取硫酸钾的研究

本文通过相图分析，对利用不纯净十水芒硝与纯净氯化钾通过二步转化制取硫酸钾进行了物料配比计算．给出了最佳物料配比及十水芒硝中氯离子的最大含量，对实际生产有指导意义。     

三峡工程永久船闸边坡岩体卸荷特性

从地貌学角度,分析了三峡工程永久船闸边坡岩体的自然及人为卸荷特性,指出了地表侵蚀、河流下切、开挖船闸等自然及人为地貌过程诱发了岩体的基本卸荷过程,构筑了一个三峡工程永久船闸边坡岩体卸荷特性的宏观模式。实地调砥及数值计算成果均表明,地貌分析法在分析实际岩体工程中,岩体卸荷特性方面具有较强的应用价值。     

基于GIS的山区年均温分布模拟与制图

针对某些下垫面复杂而气象站(哨)有限的山区,用地理信息系统(GIS)和气温推算数学模型相结合,来获取全域的年均温分布栅格图和等值线矢量图。以龙游县为例,说明了该方法从数学模型、因素图输入、图层格式转换、图幅叠置分析等一系列技术步骤。     

Recovering magnetic susceptibility from electromagnetic data over a one-dimensional earth

While the inversion of electromagnetic data to recover electrical conductivity has received much attention, the inversion of those data to recover magnetic susceptibility has not been fully studied. In this paper we invert frequency-domain electromagnetic (EM) data from a horizontal coplanar system to recover a 1-D distribution of magnetic susceptibility under the assumption that the electrical conductivity is known. The inversion is carried out by dividing the earth into layers of constant susceptibility and minimizing an objective function of the susceptibility subject to fitting the data. An adjoint Green's function solution is used in the calculation of sensitivities, and it is apparent that the sensitivity problem is driven by three sources. One of the sources is the scaled electric field in the layer of interest, and the other two, related to effective magnetic charges, are located at the upper and lower boundaries of the layer. These charges give rise to a frequency-independent term in the sensitivities. Because different frequencies penetrate to different depths in the earth, the EM data contain inherent information about the depth distribution of susceptibility. This contrasts with static field measurements, which can be reproduced by a surface layer of magnetization. We illustrate the effectiveness of the inversion algorithm on synthetic and field data and show also the importance of knowing the background conductivity. In practical circumstances, where there is no a priori information about conductivity distribution, a simultaneous inversion of EM data to recover both electrical conductivity and susceptibility will be required.     

Noise reduction and detection of weak, coherent signals through phase-weighted stacks

We present a new tool for efficient incoherent noise reduction for array data employing complex trace analysis. An amplitude-unbiased coherency measure is designed based on the instantaneous phase, which is used to weight the samples of an ordinary, linear stack. The result is called the phase-weighted stack (PWS) and is cleaned from incoherent noise. PWS thus permits detection of weak but coherent arrivals. The method presented can easily be extended to phase-weighted cross-correlations or be applied in the τ p domain. We illustrate and discuss the advantages and disadvantages of PWS in comparison with other coherency measures and present examples. We further show that our non-linear stacking technique enables us to detect a weak lower-mantle P -to- S conversion from a depth of approximately 840 km on array data. Hints of an 840 km discontinuity have been reported; however, such a discontinuity is not yet established due to the lack of further evidence.     

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。     

ICAP仪器主要工作条件的优化方法研究

ＩＣＡＰ仪器在不同工作条件下，其测试精度与准确值差别是较大的。因此，正确进行工作条件的优化，是ＩＣＡＰ仪器分析工作的关键。本文从理论依据及实验方法两个方面探讨了实现条件优化的具体方法，以及其对于确保仪器的最佳测试状态和进一步扩大测试领域所具有的实际意义。     

岩体结构统计均质区的划分

本文介绍由Ｍｉｌｌｅｒ提出的基本概率统计理论的关联表分析，结合施密特投影图研究岩体统计均质区的划分方法。对该法进行了适当的修改，编写了相应的计算机程序。并对三峡永久船闸地区的岩体结构，进行了岩体结构统计均质区的划分，获得了良好的效果。