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波动方程角度域共成像道集

针对基于波场深度递推的波动方程叠前深度偏移成像方法难以准确地给出如Kirchhoff积分叠前深度偏移成像方法的偏移距域共成像道集的不足,在分析研究现有的各种波动方程偏移成像共成像道集方法的基础上,利用波场外推的单平方根算子和波场的窗口Fourier框架展开与重构方法,提出一种局部角度域共成像道集方法——成像点处反射角共成像道集方法.把这种角度域共成像道集方法应用于国际标准的Marmousi模型数据和一条实际二维地震数据都取得了理想的结果.提出的波动方程反射角度域共成像道集方法可为进一步的叠前偏移数据振幅随角度变化分析和偏移速度分析工作提供基础.     

PN空间中线性算子间的关系

在有界算子,肯定有界算子以及可能有界算子这些概念的基础上,进一步讨论它们之间的联系,使得关于这方面的内容更全面深刻.     

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傅里叶有限差分法保幅叠前深度偏移方法

地震数据中饱含有丰富的走时信息和振幅信息. 为解决传统偏移方法中几何扩散和入射角变化引起的振幅误差问题,本文提出了一种实用的波动方程保幅地震偏移方法. 该方法从全声波方程出发进行单程波保幅分解,得到直观、高效率的直接面对地震波传播波场的压力分量进行延拓的保幅偏移单程波方程,进而推导出一个含有6项的傅里叶有限差分法保幅偏移的算子方程;修改边界条件和成像条件,使修改后的边界条件和成像方程中考虑振幅补偿,从而从三方面补偿几何扩散损失和入射角变化对振幅的影响. 脉冲响应测试、单炮记录的数值试验以及SEG/EAGE盐丘模型的叠前偏移结果表明,该方法不但可以使散射能量聚焦、归位,提高成像精度;而且可以输出正确反映地下反射系数的振幅信息,为后续的地震属性分析(如AVO/AVA)提供更真实的地震信息.     

基于匹配滤波的多次波压制方法研究

常规滤波方法对浅海多次波压制不能取得理想效果.通过改变模型表面边界条件,求解波动方程实现多情景地震数值模拟.利用自由边界条件模拟时获得含海平面强反射多次波地震记录,而利用吸收边界条件时得到理想条件下无多次波地震记录.对比分析多次波对有效地震信号的影响得到海平面强反射多次波改变了有效地震信号的振幅、频率和相位.利用归一化方法计算得到压制多次波滤波器算子,并作用于含海平面强反射多次波地震记录.叠加地震剖面对比分析表明,归一化滤波器算子较好的压制了地震记录中的多次波,提高地震资料分辨率.最后,根据多次波产生条件,给出了利用实际区域简化地质模型的地震数值模拟结果计算归一化滤波器算子的方法,从而利用该方法压制实际地震数据中多次波.     

五维波动问题的一种解法

介绍解五维波动问题的微分算子级数法,首先引进数性算子概念及微分算子级数法;其次,推导出了求解公式;最后通过求解公式求解了一些五维波动方程的例题,得出任何维数(n≥5)的波动方程柯西问题都可以用微分算子级数法求其解。     

常系数非齐次微分方程特解的算子解法和注释

本文对常系数非齐次微分方程特解的算子解法进行了比较系统地论证和归纳,并对某些问题作了必要的注释。     

Framework and Workflows for Spatial Database Generalization

Spatial database generalization deals not only with geometrical simplification, but also with changes in database schema and content. The purpose of this research is to suggest methods for database generalization through the abstraction of a detailed spatial database. To accomplish this goal, this study suggests a framework for database generalization, and then defines operators that reflect the changes in database schema and content within the generalization process. A set of operator sequences (workflows) is used to specify and arrange the operators required to abstract a given feature. In order to assess the validity of the suggested method, a prototype system is developed. The results show that the efficiency of generalization can be improved, and data loss or distortion reduced as well.     

Evidence for the silicate source of relict soils on the Edwards Plateau, central Texas

Relict soils provide insights into Quaternary soil formation and erosion on the Edwards Plateau of central Texas and into soil-forming processes in karst terranes. Late Quaternary climate-driven soil erosion produced a mosaic of thick and thin soils on the Edwards Plateau landscape. Thick soils on uplands of the Edwards Plateau are interpreted to be relicts of a formerly more extensive soil cover that was eroded during the late Pleistocene to middle Holocene. The relict, thick soils are silicate-rich and most commonly overlie the relatively silicate-poor Cretaceous Edwards Limestone, which supports the idea that the thick soils did not form from weathering of the underlying limestone. Other potential sources of silicates for the relict soils include dust, alluvial sediments, and the Del Rio Clay, a stratigraphically higher but locally eroded clay-rich unit. Here we investigate the geographic distribution, texture, clay-sized mineralogy, rare earth element geochemistry, and neodymium isotope composition of the relict soils. We have found that the relict, thick soils are deeply weathered soils that occur dominantly over the Edwards Limestone and have a high clay content and a neodymium isotope composition that is similar to that of the Del Rio Clay. Thus, we propose that in situ weathering of the Del Rio Clay, along with partial weathering of the upper portion of the underlying Edwards Limestone produced thick chert- and clay-rich soils over resistant limestone. In areas like the Edwards Plateau, where pure limestones are interbedded with clay-rich strata, the overlying clay-rich strata must be considered as a possible silicate source to soils on pure limestone bedrock.