弹性波正演模拟中PML吸收边界条件的改进

秦臻; 任培罡; 姚姚; 张才

Volume 34 Issue 4

Jul. 2009

Turn off MathJax

Article Contents

Article Navigation > Earth Science > 2009 > 34(4): 658-664

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.

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.

PDF( 580 KB)

Improvement of PML Absorbing Boundary Conditions in Elastic Wave Forward Modeling

QIN Zhen^{1, 3
,},
REN Pei-gang²,
YAO Yao¹,
ZHANG Cai³

1.
Institute of Geophysics & Geomatics, China University of Geosciences, Wuhan 430074, China
2.
Faculty of Earth Resources, ChinaUniversity of Geosciences, Wuhan 430074, China
3.
Research Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, China

Received Date: 2008-08-28
Publish Date: 2009-07-25

Abstract

Abstract

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.
- perfectly matched layer,
- absorbing boundaries,
- elastic wave,
- forward modeling,
- geophysics

FullText(HTML)

References(26)

References

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

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

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

Figures(2) / Tables(1)

Get Citation

PDF

XML

Article views (3631) PDF downloads(157)

Improvement of PML Absorbing Boundary Conditions in Elastic Wave Forward Modeling

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Proportional views

Export File

Citation

Format

Content