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1.
推导了声波方程空间二阶导数的隐式求解公式及差分系数的求解方法,讨论了该方法的数值频散特征。利用该方法分别对均匀介质及Marmousi模型进行了数值模拟,将其结果与传统的显式差分格式的模拟结果进行了对比分析。结果表明:该方法较传统的显式求解方法具有更低的数值频散、更高的计算精度。   相似文献   

2.
地震勘探广泛应用于油气、煤田勘探。地震波场数值模拟是整个地震勘探数据处理技术的基石。将径向基函数(RBF)引入地震声波波场数值模拟中,在空间上用径向基函数无网格法来构造二阶导数,而在时间上采用简单的二阶差分公式,并重点讨论了形状参数c对该方法精度的影响,总结c经验取值范围为2~4倍平均数据点间距。设计不同模型,利用径向基函数无网格法进行声波波场模拟,并与空间四阶时间二阶的有限差分计算结果进行对比,结果表明:同样精度下,径向基函数每个波长所取的数据点数远小于空间四阶矩形网格有限差分每个波长所取的网格点数,即径向基函数的空间采样率更低,这表明径向基函数具有更小的数值频散。   相似文献   

3.
完全3维弹性波数值模拟计算时间长,并且占用庞大的计算资源,这不利于在计算机配置不高的情况下进行科学研究,而二维弹性波数值模拟又达不到三维模拟的精度;同时,当模型、波场空间分布比较复杂时,传统的3维波动方程拟谱法模拟结果比较差.因此,在较高数值精度的一阶应力-速度弹性波动方程的基础上,采用傅氏变换仅计算y方向的偏导数,利用有限差分方法计算x、z方向和时间的偏导数,即利用2.5维数值模拟方法,实现在二维介质中计算三维弹性波场.最后通过数值模拟实现了在各向异性介质中多波波场的数值模拟,验证了2.5维方法是一种高精度、高效率、且能适应复杂模型的正演模拟方法,通过波场分析进一步认识了波在各向异性介质中的传播规律.  相似文献   

4.
用有限差分(FD)时间域数值方法,我们开发、试验和实施了二维介质中数字探地雷达(GPR)波动传播的模拟。由于现有GPR仪器的操作频率的缘故,我们考虑了TE波的一阶效应,与频率有关的衰减以说明记录响应的重要变化。交错网格技术用于使场简单化以及用四阶有限差分逼近空间导数。时间导数用二阶有限差分时间-推进系统来显示。通过结合单程波动的旁轴近似(A2)和阻尼手段(海绵滤波),我们得到了能有效吸收向内及向外  相似文献   

5.
基于离散余弦变换(DCT)的重力异常垂询二阶导数的计算方法是笔者提出的新方法。以无限长水平圆柱体为例研究了DCT法的计算规律:模型实验证实,该法计算的无限长水平圆柱体重力异常垂向二阶导数的精度与采样闻隔、剩余密度及圆柱体半径大小无关。与圆柱体轴心埋藏深度成正比。通过分析给出了基于DCT的合适的线性滤波方式,滤波后的重力异常垂向二阶导数与理论二阶导数拟合效果好,具有较高的计算精度。  相似文献   

6.
利用Taylor公式展开导出了交错网格中可导函数任意次导数的任意偶数阶精度的差分近似式及相应的差分系数,从而改进了常规高精度交错网格有限差分算法中对各个空间导数采用不一致精度的问题。采用推导的交错网格高阶差分算法对一阶弹性波动方程进行数值模拟,得到了精确的数值模拟结果,证明了推导的交错网格高阶差分算法的正确性。  相似文献   

7.
非均匀介质中交错网格高阶有限差分数值模拟   总被引:5,自引:0,他引:5  
地震波场的数值模拟一直是地球物理学的一个重要的研究领域,而在数值正演模拟方法的研究中,计算精度和计算效率是评价该方法有效性及优越性的二个关键问题。这里从一阶速度—应力弹性波动方程出发,着重介绍如何构造离散化模型的网格,如何求解空间导数,如何选取边界条件等内容,从而更有效地提高数值计算的精度与计算效率。文中构造了不同类型的介质模型,并在交错网格中,利用高阶有限差分模拟非均匀介质的波场传播。模拟结果表明,该方法实现简单,具有很好地稳定性和较高的精度,能够直观、高效地反映出介质中波场的传播规律。  相似文献   

8.
在井间地震有限差分数值模拟中,用离散化的高阶差分方程近似连续导数的波动方程时,不可避免地会产生数值频散,而数值频散程度则直接影响到地震波数值模拟精度,因此为了得到清晰准确的地震波场记录,必须尽可能地压制数值频散。这里在一阶速度应力弹性波方程的基础上,利用两个约束条件构造拉格朗日函数获取优化差分系数,与泰勒展开差分系数下的交错网格高阶差分模拟结果比较,发现改进的优化交错网格差分算子的高阶差分数值模拟能更有效地压制数值频散,进一步提高交错网格高阶差分数值模拟的精度,为高精度井间地震数据的波场成像、纵横波联合解释等提供可靠依据。  相似文献   

9.
利用有限正弦和有限余弦变换模拟地震波场:声波方程   总被引:4,自引:1,他引:3  
研究了一种利用有限正弦和有限余弦变换解变密度声波方程的方法,它的基本思想有下列4点:(1)对声波方程两端进行关于一个或多个变量的有限正弦或有限余弦变换;(2)将待求波场的Fourier正弦或余弦级数表达式代入到经过变换后的波动方程之中,进而得到级数表达系数所满足的微分方程式;(3)分别对时间和未作变换的空间导数进行有限差分或其它形式的近似,得到变换系数所满足的离散(矩阵)方程;(4)将通过解离散(矩阵)方程而得到的变换系数代入到相应的反演公式中去,用求和的方式得到待求波场的数值解。与其它方法相比,利用有限正弦和有限余弦的优点在于可以无限制地扩展变换方向的计算区间和可以处理任意变化的速度和密度结构而不明显地增加计算量。  相似文献   

10.
井间电磁波层析成像中的高精度时间域正演计算   总被引:1,自引:0,他引:1  
林树海  赵立英 《地球科学》2007,32(4):469-473
为提高井间电磁波层析成像的分辨率, 正演计算中需保持较高的计算精度.本文正演计算中采用时间域伪谱(PSTD) 法模拟井间电磁波的传播.该算法在时间域有限差分(FDTD) 法的基础上采用快速傅立叶变换(FFT) 计算麦克斯韦方程中的空间导数.该算法除了具备时间域有限差分法的优点外, 在计算条件完全相同的情况下, 计算精度明显高于时间域有限差分法.时间域伪谱法的正演计算为井间电磁波高分辨率层析成像奠定了重要基础.   相似文献   

11.
Pant-y-ffynnon Quarry in South Wales yielded a rich cache of fossils in the early 1950s, including articulated specimens of new species (the small sauropodomorph dinosaur Pantydraco caducus and the crocodylomorph Terrestrisuchus gracilis), but no substantial study of the wider fauna of the Pant-y-ffynnon fissure systems has been published. Here, our overview of existing specimens, a few described but mostly undescribed, as well as freshly processed material, provides a comprehensive picture of the Pant-y-ffynnon palaeo-island of the Late Triassic. This was an island with a relatively impoverished fauna dominated by small clevosaurs (rhynchocephalians), including a new species, Clevosaurus cambrica, described here from a partially articulated specimen and isolated bones. The new species has a dental morphology that is intermediate between the Late Triassic Clevosaurus hudsoni, from Cromhall Quarry to the east, and the younger C. convallis from Pant Quarry to the west, suggesting adaptive radiation of clevosaurs in the palaeo-archipelago. The larger reptiles on the palaeo-island do not exceed 1.5?m in length, including a small carnivorous crocodylomorph, Terrestrisuchus, and a possible example of insular dwarfism in the basal dinosaur Pantydraco.  相似文献   

12.
Lithostratigraphy, physicochemical stratigraphy, biostratigraphy, and geochronology of the 77–70 Ma old series bracketing the Campanian–Maastrichtian boundary have been investigated by 70 experts. For the first time, direct relationships between macro- and microfossils have been established, as well as direct and indirect relationships between chemo-physical and biostratigraphical tools. A combination of criteria for selecting the boundary level, duration estimates, uncertainties on durations and on the location of biohorizons have been considered; new chronostratigraphic units are proposed. The geological site at Tercis is accepted by the Commission on Stratigraphy as the international reference for the stratigraphy of the studied interval. To cite this article: G.S. Odin, C. R. Geoscience 334 (2002) 409–414.  相似文献   

13.
Robert L. Linnen   《Lithos》2005,80(1-4):267-280
The solubilities of columbite, tantalite, wolframite, rutile, zircon and hafnon were determined as a function of the water contents in peralkaline and subaluminous granite melts. All experiments were conducted at 1035 °C and 2 kbar and the water contents of the melts ranged from nominally dry to approximately 6 wt.% H2O. Accessory phase solubilities are not affected by the water content of the peralkaline melt. By contrast, solubilities are affected by the water content of the subaluminous melt, where the solubilities of all the accessory phases examined increase with the water content of the melt, up to 2 wt.% H2O. At higher water contents, solubilities are nearly constant. It can be concluded that water is not an important control of accessory phase solubility, although the water content will affect diffusivities of components in the melt, thus whether or not accessory phases will be present as restite material. The solubility behaviour in the subaluminous and peralkaline melts supports previous spectroscopic studies, which have observed differences in the coordination of high field strength elements in dry vs. wet subaluminous granitic glasses, but not for peralkaline granitic glasses. Lastly, the fact that wolframite solubility increases with increasing water content in the subaluminous melt suggests that tungsten dissolved as a hexavalent species.  相似文献   

14.
Calcite samples were extracted both from the rock matrix and the superficial coating of a karstified fault plane of an underground quarry, located in the eastern border of the Paris basin. The karstification is dated as Quaternary. Analysis of mechanical calcite twinning reveals that only the calcite matrix has also undergone a compression trending WNW that can be attributed to the Mio-Pliocene alpine collision. Both coating and matrix have undergone a strike-slip regime with σ1 roughly trending north–south, that could correspond to the regional present-day state of stress, a strike-slip compression rather trending NNW, modified by local phenomena. To cite this article: M. Rocher et al., C. R. Geoscience 335 (2003).  相似文献   

15.
HYDROGEOLOGY     
正20141756 Chen Ruige(Mathematical College,China University of Geosciences,Beijing100083,China);Zhou Xun Numerical Simulation of Groundwater Level Fluctuation in a Coastal Confined Aquifer with Sloping Initial Groundwater Level Induced by the Tide(Geological Bulletin of China,ISSN1671-2552,CN11-4648/P,32(7),2013,p.1099-1104,6 illus.,16 refs.) Key words:confined water,groundwater level  相似文献   

16.
正20141408 Cai Jia(Institute of Geology,Chinese Academy of Geological Sciences,Beijing100037,China);Liu Fulai Petrogenesis and Metamorphic P-T Conditions of Garnet-Spinel-Biotitebearing Paragneiss in Danangou Area,Daqingshan-Wulashan Metamorphic Complex Belt(Acta Petrologica Sinica,ISSN1000-0569,CN11-1922/P,29(7),  相似文献   

17.
18.
正20142386An Guoying(China Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China)Application of Satellite Remote Sensing in Regional Hydrogeological Investigation:Taking Cenozoic Strata in Wenquan Sheet(1∶250 000)of Karakoram Range as an Example(Geosci-  相似文献   

19.
正20141016An Chengbang(Key Laboratory of Western China’s Environmental Systems,Ministry of Education,Lanzhou University,Lanzhou 730000,China);Zhao Yongtao Lake Records during the Last Glacial Maximum from Xinjiang,NW China and Their Climatic Impli-  相似文献   

20.
正20141538 Cao Qing(School of Earth Sciences and Engineering,Xi’an Petroleum University,Xi’an 710065,China);Zhao Jingzhou Characteristics and Significance of Fluid Inclusions from Majiagou Formation,Yichuan Huangling Area,Ordos Basin(Advances in Earth Science,ISSN1001-8166,CN62-1091/P,28(7),2013,p.819-828,7 illus.,3 tables,43 refs.)  相似文献   

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