基于流变体模型的波恩近似方程地震正演模拟

常规τ值法假设应力松弛时间与应变延迟时间近似相等, 造成了常Q模型拟合精度低. 本文利用精确的广义流变体模型Q值计算公式, 研究改进的τ值法求解常Q模型参数. 根据地震波散射理论, 推导了基于广义流变体模型的黏滞性介质一阶波恩近似方程, 结合位移-速度关系得到了含卷积完全匹配层边界条件的黏滞性介质应力-速度方程的一阶波恩近似表达式. 通过数值实验验证并对比了黏滞性介质中全波波动方程、 一阶波恩近似方程以及单程波波动方程的波场特征, 讨论了基于流变体模型的黏滞性介质一阶波恩近似方程对速度扰动和Q扰动的适应性, 以及对旅行时和振幅精度的影响.      

球近似地形改正的研究分析

本文视大地水准面为球面,以计算点向径为半径,将地形分为布格球壳和球面粗糙地形,分别给出球坐标下对地面重力值的地形改正公式,并与局部地形和布格板对重力改正的计算值进行比较。结果表明,球近似粗糙地形改正与局部地形改正之间存在差异,平坦地区差异较小,在地形高超过1 000 m的山区,差异在05 mGal以上。球近似粗糙地形影响计算,易于扩展积分范围,比局部地形改正更能体现精细信息,并符合地球实际形状。布格球壳和布格板改正计算值趋势相近,幅度存在明显差异。     

Delay-dependent stability and added damping of SDOF real-time dynamic hybrid testing

It is well-recognized that a transfer system response delay that reduces the test stability inevitably exists in real-time dynamic hybrid testing (RTDHT).This paper focuses on the delay-dependent stability and added damping of SDOF systems in RTDHT.The exponential delay term is transferred into a rational fraction by the Padé approximation, and the delay-dependent stability conditions and instability mechanism of SDOF RTDHT systems are investigated by the root locus technique.First, the stability conditions are discussed separately for the cases of stiffness, mass, and damping experimental substructure.The use of root locus plots shows that the added damping effect and instability mechanism for mass are different from those for stiffness.For the stiffness experimental substructure case, the instability results from the inherent mode because of an obvious negative damping effect of the delay.For the mass case, the delay introduces an equivalent positive damping into the inherent mode, and instability occurs at an added high frequency mode.Then, the compound stability condition is investigated for a general case and the results show that the mass ratio may have both upper and lower limits to remain stable.Finally, a high-emulational virtual shaking table model is built to validate the stability conclusions.     

Palaeo-karst collapse pillars in northern China and their damage to the geological environments

According to statistics, there are a total of 39 sites of palaeo-karst collapse pillars in Northern China, as well as 3,650 palaeo-karst collapse pillars. Through an overall survey and analysis of the distribution regularities and formation mechanisms of palaeo-karst collapse pillars in the northern coal mine regions, this paper found that the rock formation structures, geological structures, karst characters, underground hydrodynamic conditions of karst and neotectonic movement conditions are basic geological bases for the formation of karst collapse pillars and rule the distribution of them. Karst collapse pillars apparently have three south–north regularities in terms of distribution, and they have resulted in severe damages to geological resources and environment in their distribution areas: mine water inrush causing and coal resources damage and influencing the impounding of reservoirs as well as the stability of dam sites. Based on the basic geological features of palaeo-karst collapse pillars in northern China, this paper also introduces the new methods of integrated prospecting of successive approximation to determine hydraulic conductivity of palaeo-karst collapse pillars.     

Higher and lowest order mixed finite element approximation of subsurface flow problems with solutions of low regularity

In this work we study mixed finite element approximations of Richards’ equation for simulating variably saturated subsurface flow and simultaneous reactive solute transport. Whereas higher order schemes have proved their ability to approximate reliably reactive solute transport (cf., e.g. [Bause M, Knabner P. Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping. Comput Visual Sci 7;2004:61–78]), the Raviart–Thomas mixed finite element method (RT₀) with a first order accurate flux approximation is popular for computing the underlying water flow field (cf. [Bause M, Knabner P. Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods. Adv Water Resour 27;2004:565–581, Farthing MW, Kees CE, Miller CT. Mixed finite element methods and higher order temporal approximations for variably saturated groundwater flow. Adv Water Resour 26;2003:373–394, Starke G. Least-squares mixed finite element solution of variably saturated subsurface flow problems. SIAM J Sci Comput 21;2000:1869–1885, Younes A, Mosé R, Ackerer P, Chavent G. A new formulation of the mixed finite element method for solving elliptic and parabolic PDE with triangular elements. J Comp Phys 149;1999:148–167, Woodward CS, Dawson CN. Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media. SIAM J Numer Anal 37;2000:701–724]). This combination might be non-optimal. Higher order techniques could increase the accuracy of the flow field calculation and thereby improve the prediction of the solute transport. Here, we analyse the application of the Brezzi-Douglas-Marini element (BDM₁) with a second order accurate flux approximation to elliptic, parabolic and degenerate problems whose solutions lack the regularity that is assumed in optimal order error analyses. For the flow field calculation a superiority of the BDM₁ approach to the RT₀ one is observed, which however is less significant for the accompanying solute transport.     

瞬变电磁虚拟波场二阶Born近似成像算法

依据瞬变电磁扩散场与虚拟波动场之间的数学表达式,通过波场反变换得到虚拟波场,进而借用地震勘探上成熟的成像方法定位地质界面的位置以及形态.本文首先将时间域波动方程转换为频率域波动方程,将总波动场分为背景场和散射场、总波速分为背景速度和扰动速度,然后运用Green定理得到了散射场关于地质界面速度扰动量的表达式,并使用Bor...     

非绝热二维滞弹性流体的动力稳定性

采用滞弹性近似下的二维滞流体动力学方程组，讨论了中尺度对称扰动的动力稳定性，得到其绝热情况下对称不稳定的判据条件。研究结果表明，相对于浅对流的情况而言，深对流情况下对称不稳定的条件更为苛刻一些。在考虑非绝热加热时，扰动增长率随其波长的变化会产生间断现象，中低层加热明显对中－β尺度扰动具有激发增长的作用，并且促使扰动向暖区传播，而中高层加热则具有一定的差异性。     

一种基于数值逼近的KPCA改进算法

核方法广泛应用于模式识别等领域,但其存在着特征抽取效率和样本集的大小成反比的瓶颈问题.因此提出一种基于数值逼近的方法确定虚拟样本矢量,以此代替训练样本,提高KPCA(Kernel Principle Component Analysis)特征抽取效率.在确定虚拟样本矢量时,只需将样本矢量的初值设定为随机变量,算法实现简单、高效.在基准数据集上的实验结果显示该算法优于同类算法.     

用非线性近似方法反演单多普勒雷达风场

回顾了近年来由单多普勒雷达观测反演风场的各种方法。这些方法大部分基于线性假设，因此风场的非线性交化经常影响反演结果，使得反演的风场误差增大。我们提出一种以非线性近似理论为基础的反演方法，该方法主要考虑了风场分片光滑的特点并充分利用了雷达的径向风场数据。我们把该方法应用到1998年淮河能量与水循环实验的两个个例中。通过同双多普勒雷达观测的结果比较，发现该方法能反演较高分辨率和淮确性的水平风场，反演的垂直风场也比较合理。