边界积分方程用于电阻率Zohdy反演的初步研究

研究利用边界积分方程进行电阻率Ｚｏｈｄｙ反演的有关技术,结果表明在探测区域划分为数千个单元的情况下,为节省正、反演过程中所需要的计算机内存和 ＣＰＵ时间,可采取以下措施：（１）假定电位分块线性变化,可以使节点数目显著减少,这里每一块都包含若干个单元;（２）利用边界积分方程的特点,可事先计算并存储所有必要的边界积分值,供每一步迭代中调用;（３）利用边界积分方程所特有的数值延拓功能,可以进一步减少节点数目．为了说明这些手段的有效性,先给出了一个数值模拟成像结果,它清楚地表明基于边界积分方程的电阻率 Ｚｏｈｄｙ反演是快速而有效的,然后给出一个实测剖面的成像实例,成像结果经钻孔检验正确．     

水汽方程积分计算格式的数值试验

该文把Easter(1993)的水汽方程积分方案应用到球坐标的有限区模式（LAFS）中,并作了两组比较性试验。Easter的方案是把水汽的通量方程和连续方程联立求解。在计算中不会出现水汽负值。而且稳定性好。本文所做的两组试验表明。Easter的方案比LAFS的原方案所产生的计算性扩散小。因而降水预报更接近实况。但CPU时间增加了16%。     

正压大气中的波流相互作用及Sine-Gordon方程

从正压涡度方程出发,利用截谱方法,讨论波动与基本流之间的相互作用,得到了波流之间能量转换的条件。在引入时空缓变量后,导出Sine-Gordon方程,并求得了孤立子解。     

共炮检距二维弹性波地震剖面的偏移方法

在均匀各向同性介质的分界面上入射纵波时,除产生纵波反射Ｐ－Ｐ波外,还会产生转换横波的反射Ｐ－ＳＶ波。同样,当入射波为ＳＶ横波时,在分界面上会同时产生ＳＶ－ＳＶ反射波和ＳＶ－Ｐ反射转换波,对这种二维弹性波地震记录如何进行偏移是正在探讨的问题。为了能够处理实际地震数据,本文提出在共炮检距剖面上进行二维弹性波记录的偏移方法。具体做法是,首先用弹性波方程将两分量的地震记录分解为Ｐ－Ｐ（或ＳＶ－ＳＶ）波和Ｐ－ＳＶ（或ＳＶ－Ｐ）波,然后用我们已导出的适合于处理共炮检距剖面的叠前偏移方法对它们进行处理。用模拟数据进行的试验说明方法正确,效果良好。     

光学转像变倍微分方程的建立及其应用

建立了光学转像变倍微分方程,并应用于军械瞄准具无焦系统连续变倍过程的分析,给出两个数字例子的高斯光学设计结果。     

P-SV反射转换波的倾角时差校正（DMO）方法研究

倾角时差校正（ＤＭＯ）方法对于复杂地质构造条件下的纵波反射波（Ｐ－Ｐ）的多次覆盖地震数据的叠加具有显著的提高信噪比的效果．对于转换反射波（Ｐ－ＳＶ）来说,进行倾角时差校正（ＤＭＯ）处理就更需要．本文首先对Ｐ－ＳＶ波的倾角时差校正（ＤＭＯ）的几何原理进行了分析,然后重点研究用波动方程进行ＤＭＯ的方法,即Ｐ－ＳＶ转换反射波的叠前部分偏移的波动方程法．这种方法也适用于Ｐ－Ｐ反射波的叠前部分偏移处理．研究结果表明,波动方程ＤＭＯ方法在振幅保真方面比几何原理的ＤＭＯ方法有显著改善．     

CO_2 Density-Raman Shift Relation Derived from Synthetic Inclusions in Fused Silica Capillaries and Its Application

Abstract: The densities of CO2 inclusions in minerals are commonly used to determine the crystallizing conditions of the host minerals. However, conventional microthermometry is difficult to apply for inclusions of small size (< 5–10 μm) or low density. Raman analysis is an alternative method for determining CO2 density, provided that the CO2 density–Raman shift relation is known. This study aims to establish this CO2 density–Raman shift relation by using CO2 inclusions synthesized in fused silica capillaries. By using this newly-developed synthetic technique, we formed pure CO2 inclusions, and their densities were determined by microthermometry. The Raman analysis showed that the relation between CO2 density (D in g/cm3) and the separations (Δ in cm?1) between the two main bands (i.e. Fermi diad bands) in CO2 Raman spectra can be represented by a cubic equation: D (g/cm3)=0.74203(?0.019Δ3+5.90332Δ2?610.79472Δ+21050.30165)?3.54278 (r2=0.99920). Our calculated D value for a given Δ is between those obtained from two previously-reported equations, which were derived from different experimental methods. An example was given in this study to demonstrate that the densities of natural CO2 inclusions that could not be derived from microthermometry could be determined by using our method.     

利用PPP反演海潮负荷位移参数

选取高纬地区的3个CORS站以及中纬地区的SHAO测站,利用PPP浮点解计算测站未经海潮负荷位移改正的坐标时间序列,采用傅里叶变换方法提取分潮的周期信息,进而反演其中8个主要分潮的海潮负荷位移参数,将其与5个全球海潮模型DTU10、EOT11a、GOT4.8、TPXO.7.2、FES2004计算得到的海洋负荷位移参数比较。结果表明,PPP反演得到的8个主要分潮的海潮负荷位移参数与海潮模型计算结果具有较好的一致性,两者均方根差异为mm级,说明利用PPP反演海潮负荷位移参数是可行的。     

一类广义Sine-Gordon方程的概周期解

用最大值原理和Banach压缩映像原理研究一类广义Sine-Gordon方程的概周期解问题,证明概周期解的存在‖u‖L∞<π2中的唯一性。     

Effect of Fly Ash on Frost-Resistance and Chloride Ions Diffusion Properties of Marine Concrete

It is necessary to pay more attention to the durability of concrete undergoing freeze-thaw cycles and seawater attack simultaneously.Investigated are the effects of water-binder ratio,fly ash (FA) contents and air-entraining agent on resistance to frost and chloride diffusion of marine concrete blended with FA in natural seawater.The results show that fly ash does not improve the frost resistance of concrete but can improve its resistance to chloride diffusion by addition of less than 30%.The resistance to frost and chloride diffusion of FA concrete can be improved with the decrease of water-binder ratio,and FA may improve both of them simultaneously only being mixed with air-entraining agent.A ratio (named as R) of the frost-resisting durability factor to chloride diffusion coefficient can be used to evaluate the durability of marine concrete.Scanning electron microscope (SEM) analyses are consistent with the evaluations by the value of R.