• 中国出版政府奖提名奖

    中国百强科技报刊

    湖北出版政府奖

    中国高校百佳科技期刊

    中国最美期刊

    Volume 34 Issue 4
    Jul.  2009
    Turn off MathJax
    Article Contents
    QIN Zhen, REN Pei-gang, YAO Yao, ZHANG Cai, 2009. Improvement of PML Absorbing Boundary Conditions in Elastic Wave Forward Modeling. Earth Science, 34(4): 658-664.
    Citation: QIN Zhen, REN Pei-gang, YAO Yao, ZHANG Cai, 2009. Improvement of PML Absorbing Boundary Conditions in Elastic Wave Forward Modeling. Earth Science, 34(4): 658-664.

    Improvement of PML Absorbing Boundary Conditions in Elastic Wave Forward Modeling

    • Received Date: 2008-08-28
    • Publish Date: 2009-07-25
    • In finite-difference time-domain modeling of elastic waves, absorbing boundary conditions are used to mitigate undesired reflections from the model's truncation boundaries.The perfectly matched layer (PML) is generally acknowledged as the best available absorbing boundary condition and very efficient to absorb both body waves and surface waves.The classical splitting PML (SPML) has some disadvantages: it needs much computer memory and has complex programming process.And the conventional non-splitting PML (NPML) based on time convolution needs more auxiliary equations or fields and computing time.We have induced a simple and efficient NPML based on non-convolution technology in this paper.The NPML we induced does not have to split the velocity and stress fields and also doesn't need to involve in complex convolution in time domain.The analysis result shows the new PML method not only has perfect absorbing performance, but also has simple computing equations, easier programming and less memory consumption.

       

    • loading
    • Bérenger, J. P., 1994. A perfectly matched layer for absorp-tion of electromagnetic waves. Journal of Computa-tional Physics, 114: 185-200. doi: 10.1006/jcph.1994.1159
      Chen, Y. H., Chew, W. C., Oristaglio, M. L., 1997. Applica-tion of perfectly matched layers to the transient model-ing of subsurface EMproblems. Geophysics, 62: 1730-1736. doi: 10.1190/1.1444273
      Chew, W. C., Liu, Q. H., 1996. Perfectly matched layers forelastodynamics: A new absorbing boundary condition. Journal of Computational Acoustics, 4: 341-359. doi: 10.1142/S0218396X96000118
      Chew, W. C., Weedon, W. H., 1994. A3D perfectly matchedmedium from modified Maxwell s equations withstretched coordinates. Microwave and Optical Technol-ogy Letters, 7: 599-604. doi: 10.1002/mop.4650071304
      Collino, F., Tsogka, C., 2001. Application of the PML ab-sorbing layer model to the linear elastodynamic problemin anisotropic heterogeneous media. Geophysics, 66: 294-307. doi: 10.1190/1.1444908
      Engquist, B., Majda, A., 1977. Absorbing boundary condi-tions for the numerical si mulation of waves. Mathemat-ics of Computation, 31 (9): 629-651.
      Fang, D. G., Chen, B., 1996. Recent progress in the researchof perfectly matched layer. Journal of Nanjing Uni-versity of Science and Technology, 20 (6): 572-576 (in Chinese with English abstract).
      Higdon, R. L., 1991. Absorbing boundary condition for elas-tic waves. Geophysics, 56: 231-241. doi: 10.1190/1.1443035
      Huang, B. K., Jiang, Y. S., Wang, W. B., 2003. A discussionon difference formulation in PML absorbtion boundarycondition. Journal of Microwaves, 19 (4): 1-4 (in Chi-nese with English abstract).
      Imhof, M. G., 2002. Calculating the seismic effect of 3D un-derground structures and topography with the finite-difference method: 72nd Internat. Mtg., Soc. Expl. Geo-phys., Expanded Abstracts, 1939-1942.
      Liao, Z. P., Wong, H. L., Yang, B. P., et al., 1984. Atrans-mitting boundary for transient wave analysis. Scientia Sinica, 27 (10): 1063-1076.
      Liu, Q. H., Tao, J. P., 1997. The perfectly matched layer foracoustic waves in absorptive media. J. Acoust. Soc. Am., 102: 2072-2082. doi: 10.1121/1.419657
      Marfurt, K. J., 1984. Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equa-tions. Geophysics, 49: 533-549. doi: 10.1190/1.1441689
      Rappaport, C. M., 1995. Perfectly matched absorbing bound-ary conditions based on anisotropic lossy mapping ofspace. IEEE Microwave Guided Wave Lett., 5: 90-92. doi: 10.1109/75.366463
      Shan, Q. T., Yue, Y. X., 2007. Wavefield si mulation of2Dviscoelastic mediumin perfectly matched layer bounda-ry. Geophysical Prospecting for Petroleum, 46 (2): 126-130 (in Chinese with English abstract).
      Shin, C., 1995. Sponge boundary condition for frequency-domain modeling. Geophysics, 60: 1870-1874. doi: 10.1190/1.1443918
      Teixeira, F. L., Chew, W. C., 1999. On causality and dynamicstability of perfectly matched layers for FDTD simula-tions. IEEE Transactions on Microwave Theory and Techniques, 47: 775-785. doi: 10.1109/22.769350
      Wang, T., Oristaglio, M. L., 2000.3D si mulation of GPRsurveys over pipes in dispersive soils. Geophysics, 65: 1560-1568. doi: 10.1190/1.1444844
      Wang, Y, G., Xing, W. J., Xie, W. X., et al., 2007. Study ab-sorbing boundary condition by perfectly matched layer. Journal of China University of Petroleum, 31 (1): 19-24 (in Chinese with English abstract).
      Zeng, Y., He, J., Liu, Q. H., 2001. The application of theperfectly matched layer in numerical modeling of wavepropagation in poroelastic media. Geophysics, 66: 1258-1266. doi: 10.1190/1.1487073
      Zhu, Z. H., Lu, W. Z., Feng, K. S., 2006. The si mplificationof PML application and programming realization inFDTD calculation. Journal of Air Force Engineering University (Nature Science Edition), 7 (2): 55-57 (inChinese with English abstract).
      方大纲, 陈彬, 1996. 完全匹配层(PML) 的研究进展. 南京理工大学学报, 20 (6): 572-576. https://www.cnki.com.cn/Article/CJFDTOTAL-NJLG606.023.htm
      黄斌科, 蒋延生, 汪文秉, 2003. 关于完全匹配层吸收边界条件中差分格式的讨论. 微波学报, 19 (4): 1-4. doi: 10.3969/j.issn.1005-6122.2003.04.001
      单启铜, 乐友喜, 2007. PML边界条件下二维粘弹性介质波场模拟. 石油物探, 46 (2): 126-130. doi: 10.3969/j.issn.1000-1441.2007.02.005
      王永刚, 邢文军, 谢万学, 等, 2007. 完全匹配层吸收边界条件的研究. 中国石油大学学报(自然科学版), 31 (1): 19-24. doi: 10.3321/j.issn:1000-5870.2007.01.004
      朱章虎, 卢万铮, 冯奎胜, 2006. FDTD计算中PML的简化应用及编程实现. 空军工程大学学报(自然科学版), 7 (2): 55-57. doi: 10.3969/j.issn.1009-3516.2006.02.017
    • 加载中

    Catalog

      通讯作者: 陈斌, bchen63@163.com
      • 1. 

        沈阳化工大学材料科学与工程学院 沈阳 110142

      1. 本站搜索
      2. 百度学术搜索
      3. 万方数据库搜索
      4. CNKI搜索

      Figures(2)  / Tables(1)

      Article views (4329) PDF downloads(181) Cited by()
      Proportional views

      /

      DownLoad:  Full-Size Img  PowerPoint
      Return
      Return