Transient analysis of wave propagation in non‐homogeneous elastic unbounded domains by using the scaled boundary finite‐element method     

Mohammad Hossein Bazyar  Chongmin Song 《地震工程与结构动力学》2006,35(14):1787-1806

The scaled boundary finite‐element method has been developed for the dynamic analysis of unbounded domains. In this method only the boundary is discretized resulting in a reduction of the spatial dimension by one. Like the finite‐element method no fundamental solution is required. This paper extends the scaled boundary finite‐element method to simulate the transient response of non‐homogeneous unbounded domains with the elasticity modulus and mass density varying as power functions of spatial coordinates. To reduce the number of degrees of freedom and the computational cost, the technique of reduced set of base functions is applied. The scaled boundary finite‐element equation for an unbounded domain is reformulated in generalized coordinates. The resulting acceleration unit‐impulse response matrix is obtained and assembled with the equation of motion of standard finite elements. Numerical examples of non‐homogeneous isotropic and transversely isotropic unbounded domains demonstrate the accuracy of the scaled boundary finite‐element method. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

基于走时的保幅偏移方法   总被引：1，自引：4，他引：1       下载免费PDF全文

张平平  常旭  桂志先 《地球物理学进展》2006,21(4):1186-1191

振幅随偏移距变化是描述储层特征的重要方法之一，保幅偏移方法就是使偏移剖面能够反映出振幅随偏移距的变化.本论文中的保幅偏移是以走时为基础，主要的方法是采用走时的双曲线展开法，通过走时的二阶空间导数来确定波前曲率.该方法通过建立在大网格上的走时表来确定插值系数，将大网格插值成为较为精细的网格，这样就节省了数据的存储空间.对于相同的网格密度，通过插值来计算走时表比采用程函方程有限差分法直接计算走时要节省5至6倍的时间.走时的插值系数还可以用来计算几何扩散因子、权函数，不仅提高了成像质量，还大大节省了计算时间.  相似文献   

SH波入射时多个半圆形沉积谷地附近浅埋圆形孔洞的动力分析   总被引：3，自引：0，他引：3  

王慧文  刘殿魁  邱发强  乐胜辉 《地震工程与工程振动》2006,26(4):18-23

本文采用辅助函数的思想,利用复变函数和多级坐标的方法给出了SH波入射条件下多个半圆形沉积谷地附近浅埋圆形孔洞动力分析问题的解答。将整个求解区域分割成两部分来处理,区域I为多个半圆形沉积谷地,区域II为浅埋圆形孔洞附近带半圆形凹陷的半无限弹性空间。在区域I和II中分别构造位移解,并在二个区域的“公共边界”上实施位移应力的连续条件,建立求解该问题的无穷代数方程组。最后,本文给出了算例和数值结果,并对其进行了讨论。  相似文献   

对若干地震动包线函数的比较分析     

周锡元  杨俊卫  闫维明 《世界地震工程》2006,22(3):1-9

对已经提出的四种经常使用的包线函数模型进行了评价,认为对于评价单峰点包线函数,除了要求形式简单以外,其优劣可以用函数对峰点位置和高峰隆起程度的控制能力作为标准。借助结构动力试验中阻尼比的确定方法,提出用平稳度指数来评价单峰点包线函数平缓程度。据此对四种包线函数的平稳度进行了分析,还对某些包线函数提出了一些改进。通过分析指出如果把“金井清谱”和“Penzien谱”等模型,看作是时间域中包线,这两个模型的调节能力都很强,而且比较方便,其中“Penzien谱”模型可以用来表示具有两个峰点的包线。文中的比较分析结果可以用于地震动包线函数选择和模拟。  相似文献   

植被电磁散射的半空间模型研究   总被引：1，自引：0，他引：1       下载免费PDF全文

杨同敏  谢拥军  王鹏  杨锐 《地球物理学报》2007,50(2):605-610

本文给出了地面植被电磁散射的半空间模型研究方法.在以往的相关文献中，均采用自由空间格林函数求解单个叶片散射体的散射场，本文利用半空间并矢格林函数求出了单个散射体的散射场，然后运用Monte Carlo方法模拟生成地面植被层，得到了在半空间下植被层的电磁散射特性，计算出了单、双站雷达散射截面，并与自由空间下的散射场做了相互对比.结果表明，在半空间格林函数下得到的散射场更为适用于描述地面植被的电磁散射特性.  相似文献   

Imaging Offsets in the Moho: Synthetic Tests using Gaussian Beams with Teleseismic Waves     

Robert L. Nowack  Wang-Ping Chen  Ulrich Kruse  Saptarshi Dasgupta 《Pure and Applied Geophysics》2007,164(10):1921-1936

We carry out a sequence of numerical tests to understand conditions under which rapid changes in crustal thickness can be reliably imaged by teleseismic body waves. Using the finite-difference method over a 2-D grid, we compute synthetic seismograms resulting from a planar P-wavefield incident below the grid. We then image the Moho using a migration scheme based on the Gaussian beam representation of the wavefield. The use of Gaussian beams for the downward propagation of the wavefield is particularly advantageous in certain geologically critical cases such as overthrusting of continental lithosphere, resulting in the juxtaposition of high-velocity mantle material over crustal rocks. In contrast to ray-based methods, Gaussian beam migration requires no special treatment to handle such heterogeneities. Our results suggest that with adequate station spacing and signal-to-noise ratios, offsets of the Moho, on the order of 10 km in height, can be reliably imaged beneath thickened crust at depths of about 50 km. Furthermore, even sharp corners and edges are faithfully imaged when precise values of seismic wave speeds are available. Our tests also demonstrate that flexibility in choices of different types of seismic phases is important, because any single phase has trade-offs in issues such as spatial resolution, array aperture, and amplitude of signals.  相似文献   

东营凹陷古近系层序地层对成岩规律的控制作用   总被引：2，自引：0，他引：2  

ZHANG Shou-peng ))  LIU Cheng-dong ) )Basin  Reservoir Research Center  China University of Petroleum  Beijing    )Geological Scientific Research Institute of Shengli Oilfield Company  SINOPEC  Dongying    ) Ministry of Education Key Laboratory of Nuclear Resources  Environment  East China University of Technology  Nanchang 《地层学杂志》2007,(Z2)

东营凹陷古近系发育了沙四段底界面(T7)、沙四段与沙三段分界面(T’6)及沙二下亚段顶界面(T’2)等3个二级层序界面。根据对储集层成岩作用的深入研究发现,原有的埋藏成岩作用序列不仅受深度的影响,而且受此层序地层所控制,在层序界面附近和层序体内部存在一定的规律性。据此确定了层序界面附近发育的淋滤、溶解成岩相带和层序体内部发育的黏土矿物转换和化学胶结成岩相带。认识到层序界面通常是流体运移的通道,影响界面上下低水位体系域和高水位体系域内储集层的成岩相展布,对改善储集层储集性能有利;层序体内部储集层成岩差异性明显,储集性往往受到制约。  相似文献   

Modern diatom, cladocera, chironomid, and chrysophyte cyst assemblages as quantitative indicators for the reconstruction of past environmental conditions in the Alps. II. Nutrients   总被引：5，自引：0，他引：5  

André F. Lotter  H. John B. Birks  Wolfgang Hofmann  Aldo Marchetto 《Journal of Paleolimnology》1998,19(4):443-463

Surface sediments from 68 small lakes in the Alps and 9 well-dated sediment core samples that cover a gradient of total phosphorus (TP) concentrations of 6 to 520 g TP l^-1 were studied for diatom, chrysophyte cyst, cladocera, and chironomid assemblages. Inference models for mean circulation log₁₀ TP were developed for diatoms, chironomids, and benthic cladocera using weighted-averaging partial least squares. After screening for outliers, the final transfer functions have coefficients of determination (r², as assessed by cross-validation, of 0.79 (diatoms), 0.68 (chironomids), and 0.49 (benthic cladocera). Planktonic cladocera and chrysophytes show very weak relationships to TP and no TP inference models were developed for these biota. Diatoms showed the best relationship with TP, whereas the other biota all have large secondary gradients, suggesting that variables other than TP have a strong influence on their composition and abundance. Comparison with other diatom – TP inference models shows that our model has high predictive power and a low root mean squared error of prediction, as assessed by cross-validation.  相似文献   

Thickness estimates of the upper-mantle transition zone from bootstrapped velocity spectrum stacks of receiver functions   总被引：1，自引：0，他引：1  

HaroldGurrola  J.Bernard Minster 《Geophysical Journal International》1998,133(1):31-43

We modify the receiver-functions stacking technique known as velocity spectrum stacking (VSS) so as to estimate combinations of velocity model ( V_P and V_S ) and depth that stack the Ps conversion from upper-mantle discontinuities most coherently. We find that by estimating the differences in the depths to the 660 and 410 km discontinuities using velocities that maximize the stacked amplitudes of P410s and P660s phases we can estimate the thickness of the transition zone more accurately than the depths to either of these discontinuities. We present two examples indicating that the transition zone beneath Obninsk, Russia, is 252±6 km thick and that beneath Pasadena, California, is only 220±6 km thick.  相似文献   

包含局地自由对流的Monin—Obukhov相似性函数     

张强 《气象科学》1998,18(1):1-9

本文从湍流产生和发展的本质出发,以湍流动能和湍流混合长为湍流输送的决定因子,用因次分析的方法得到了一套可包括局地自由对流在内的不稳定大气近地层Monin－Obukhov相似性函数。这套相似性函数不仅有较充分的理论依据,而且还有较明确的物理含意。它能在极端情况下自动蜕化出局地自由对流相似性预测形式。  相似文献