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Evaluation of the bordering methods of the absorbing boundary condition

  • CHEN Ke-Yang
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  • Exploration and Development Research Institute of Daqing Oilfield Company Limited of CNPC, Daqing 163712, China

Received date: 2009-10-12

  Revised date: 2009-12-10

  Online published: 2010-03-15

Abstract

By taking an isotropic layered medium model with depressed characteristic as example, we analyzed the advantages of the bordering method in solving conventional boundary absorbing problems. By taking a numerical example of an isotropic tilt model, we discussed the drawbacks of the outside bordering method and the origins of the boundary absorption in detail. The generalized numerical analyses show that the outside bordering method could introduce bogus reflected waves, and the reason was that the velocity continuation on the boundary brought in man-made diffraction points. The inside bordering method is proposed for the purpose of improving numerical simulation precision, signal-to-noise ratio, and credibility at the cost of regional effective wave field. The example illustrates that the proposed method is reliable and workable.

Cite this article

CHEN Ke-Yang . Evaluation of the bordering methods of the absorbing boundary condition[J]. Journal of University of Chinese Academy of Sciences, 2010 , 27(2) : 170 -175 . DOI: 10.7523/j.issn.2095-6134.2010.2.004

References


[1] Higdon R L. Absorbing boundary conditions for elastic waves
[J]. Geophysics, 1991, 56(2): 231-241.

[2] Reynolds A C. Boundary conditions for the numerical solution of wave propagation problems
[J]. Geophysics, 1978,42(6):1099-1110.

[3] Liao Z P, Wong H L, Yang B P, et al. A transmitting boundary for transient wave analysis
[J]. Scientia Sinica(SeriesA), 1984, 27(10):1063-1076.

[4] Yang W, Chen K Y. Optimization design of weighted absorption boundary condition
[J]. Geophysical Prospecting For Petroleum, 2009, 48(3):244-246,251 (in Chinese). 杨 微,陈可洋. 加权吸收边界条件的优化设计
[J]. 石油物探,2009,48(3):244-246,251.

[5] Chen K Y, Yang W. Optimized dual absorbing boundary condition of 3D seismic wave
[J]. Progress in Exploration Geophysics,2009, 32(3):179-181,206 (in Chinese). 陈可洋,杨 微. 优化的三维地震波旁轴近似吸收边界条件
[J]. 勘探地球物理进展,2009,32(3):179-181,206.

[6] Chen K Y. 3D random modeling scheme and wavefield simulation analysis . Progress in Exploration Geophysics. 2009, 32(5):315-320 (in Chinese). 陈可洋. 三维随机建模方法及其波场模拟分析
[J]. 勘探地球物理进展,2009,32(5):315-320.

[7] Berenger J P. A perfectly matched layer for the absorption of electromagnetic waves
[J]. J Comput Phys, 1994,114: 185-200.

[8] Chen K Y. Improved algorithm for absorbing boundary condition of acoustic perfectly matched layer
[J]. Geophysical Prospecting For Petroleum, 2009, 48(1):76-79(in Chinese). 陈可洋. 声波完全匹配层吸收边界条件的改进算法
[J]. 石油物探,2009,48(1):76-79.

[9] Wang S D. Absorbing boundary condition for acoustic wave equation by perfectly matched layer
[J]. Oil Geophysical Prospecting, 2003, 38(1):31-34(in Chinese). 王守东. 声波方程完全匹配层吸收边界
[J]. 石油地球物理勘探,2003,38(1):31-34.

[10] Wang Y G, Xing W J, Xie W X, et al. Study of absorbing boundary condition by perfectly matched layer
[J]. Journal of China University of Petroleum:Edition of Natural Science, 2007, 31(1):19-34(in Chinese). 王永刚,邢文军,谢万学,等. 完全匹配层吸收边界条件的研究
[J]. 中国石油大学学报:自然科学版,2007,31(1):19-24.

[11] Cerjan C, Kosloff D, Kosloff R, et al. A nonreflecting boundary condition for discrete acoustic and elastic wave equations
[J]. Geophysics, 1985, 50(4):705-708.

[12] Sochacki J, Kubichek R, George J, et al. Absorbing boundary conditions and surface waves
[J]. Geophysics, 1987, 52(1):60-71.

[13] Collino F, Tsogka C. Application of the PML absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media
[J]. Geophysics, 2001, 66(2):294-307.

[14] Komatitsch D, Martin R. An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation
[J]. Geophysics, 2007, 72(5): SM155-SM167.

[15] Martin R, Komatitsch D, Ezziani A. An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media
[J]. Geophysics, 2007, 73(4):T51-T61.

[16] Chen K Y. High-order staggered-grid finite difference scheme for scalar acoustic wave equation
[J]. China Offshore Oil and Gas, 2009, 21(4):232-236(in Chinese). 陈可洋.标量声波波动方程高阶交错网格有限差分法
[J]. 中国海上油气,2009,21(4):232-236.

[17] Chen K Y, Yang W, Wu Q L, et al. Comparison of several seismic wave post-stack depth migration methods
[J]. Progress in Exploration Geophysics, 2009, 32(4):257-260(in Chinese). 陈可洋,杨 微,吴清岭,等. 几种地震波叠后深度偏移方法的比较
[J]. 勘探地球物理进展,2009,32(4):257-260.

[18] Chen K Y. Wave equation pre-stack reverse-time migration scheme based on high-order finite-difference
[J]. Geophysical Prospecting For Petroleum, 2009, 48(5):475- 478(in Chinese). 陈可洋. 基于高阶有限差分的波动方程叠前逆时偏移方法
[J]. 石油物探,2009,48(5):475- 478.

[19] Dong L G, Ma Z T, Cao J Z. The staggered-grid high-order difference method of one-order elastic equation
[J]. Chinese J Geophys, 2000, 43(3):411- 419.

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