抛物 Ｒadon 域地震干涉技术

当地震干涉技术应用在不完整数据体上时,缺失的地震记录会在合成的虚炮集记录上造成大量的假象。为减少假象的产生,笔者将抛物 Ｒadon 变换与地震干涉技术相结合,在抛物 Ｒadon 域中应用地震干涉技术。本文通过数值模拟验证了抛物 Ｒadon 域地震干涉技术的有效性,并将该方法应用在不完整数据体上。结果表明,抛物 Ｒadon 域地震干涉技术可以有效减少假象的产生,并能够压制缺失的地震数据的影响,提高虚炮集记录的质量。     

一类退化抛物型方程全局解的存在性与爆破

研究了一类具有一致Dirichlet边界条件的非线性退化抛物型方程组解的爆破和全局存在性，给出了解全局存在的一个充分必要条件。     

抛物面天线微波全息测量及结果分析

就上海佘山25 m抛物面天线上进行的相位相关法微波全息测量及其测量结果做了一定阐述。文章首先简要提到了微波全息测量技术在国内外的发展情况以及理论依据,其次介绍了我们所建立的测量系统的组成,重点讨论了基于窄带信号测量工作的有效性和准确性,采用自校准的数据处理手段,对测量误差做了估计和实际测试。当前我们已经取得了0.14 mm的测量精度(极限误差为0.2 mm),并分析了影响测量精度的各项因素。     

地铁车站深基坑变形监测及数据分析

本文针对北京地铁车站某明挖深基坑在砂卵石地层的工程实例,首先论述了该工程的工程概况、基坑监测的内容、监测频率及监测周期;其次通过基坑开挖引起基坑周边土体荷载变化原理理论分析了地表沉降、桩顶水平位移、桩体水平位移分布的特点;最后通过实际监测数据总结了监测结果,运用监测时程变化曲线图表了说明监测结果与理论分析的不同与吻合之处,为今后同类工程设计、施工、处理风险事务和工程安全事故提供参考依据.     

Multiple attenuation using λ-f domain high-resolution Radon transform

The parabolic Radon transform has been widely used in multiple attenuation. To further improve the accuracy and efficiency of the Radon transform, we developed the 2- fdomain high-resolution Radon transform based on the fast and modified parabolic Radon transform presented by Abbad. The introduction of a new variable 2 makes the transform operator frequency-independent. Thus, we need to calculate the transform operator and its inverse operator only once, which greatly improves the computational efficiency. Besides, because the primaries and multiples are distributed on straight lines with different slopes in the 2-fdomain, we can easily choose the filtering operator to suppress the multiples. At the same time, the proposed method offers the advantage of high-resolution Radon transform, which can greatly improve the precision of attenuating the multiples. Numerical experiments suggest that the multiples are well suppressed and the amplitude versus offset characteristics of the primaries are well maintained. Real data processing results further verify the effectiveness and feasibility of the method.     

一类含有多重非线性项的双重退化抛物型方程组正解存在性

本文主要讨论了含有内部源和非线性边界流耦合的双重退化非线性抛物型方程组解的整体存在和爆破性质,在合理的假设下,通过比较原理得到该方程组的所有正解整体存在的充分必要条件。     

On an Averaged Model for the 2-fluid Immiscible Flow with Surface Tension in a Thin Cylindrical Tube

We consider the two-fluid incompressible immiscible flow, with surface tension, in a thin cylindrical tube. Using the method of asymptotic expansions with respect to the thickness of the domain, effective 1D equations are derived. Supposing that the fluids are strictly separated at t=0 and that only one phase is in contact with the rigid wall, we show that the derived equations equal a nonlinear degenerate fourth order parabolic equation for the saturation. If we set the surface tension to be zero, it reduces to the Buckley–Leverett equation recently derived by Mikeli and Paoli using the same technique. In the general case we obtain the generalized Darcy's equations with extra-diagonal terms and the relative permeabilities are calculated explicitly. The capillary pressure results only from te surface tension between two fluid phases.     

一类抛物型方程反问题的数值解法

讨论了一类二阶抛物型方程反问题的数值解法。应用拟解法的思想,把原问题分解为一系列适定的正问题和一个不适定的线性代数方程组。对于相应的正问题,证明了解连续依赖于初始分布,由此得到了在时刻的稳定性估计。使用古典欧拉差分格式求解正问题和用截断奇异值分解法求解病态方程组。数值结果显示数值解与理论解吻合很好。     

库布齐沙漠南缘抛物线形沙丘表面风沙流结构变异

对库布齐沙漠南缘抛物线形沙丘表面气流和输沙率的野外观测和分析结果表明,沙丘表面约90%的风沙输移集中在距沙面0.10 m高度范围内,输沙率随高度递减的形式在沙丘各部位因风速、下垫面状况和坡面形态不同而发生变异。沙丘迎风坡坡脚因出露坚硬、含砾石地表,颗粒跃移高度大,风沙流上层相对输沙率大;迎风坡沙粒沿坡向上运动,颗粒跃移高度减小,风沙流中近地表相对输沙率大;沙丘背风坡沙粒沿坡向下运动,加之来自丘顶变型跃移物质的影响,风沙流上层相对输沙率较大;脊线受迎风坡各个断面地形差异的影响,各观测点间风沙流结构差异显著。风沙流结构在迎风坡和丘顶均遵循指数递减规律(Q=aexp(-z/b)),其中,指数函数拟合中系数a与输沙率具有良好的幂函数关系,随风速增加而增加,但二者关系较弱;b与二者无相关性。背风坡风沙流结构具有明显的分段现象,以0.10 m高度为界,下层符合指数函数,上层符合幂函数。     

Unified Symbolic Algorithm of Gauss Method for Near-Parabolic Orbits

In this paper, a unified algorithm of Gauss method for near‐parabolic orbits that is valid for both elliptic and hyperbolic cases is established symbolically and numerically. This revised version was published online in July 2006 with corrections to the Cover Date.