셀 기반 유한차분법을 이용한 이방성 매질에서의 시간영역 탄성파 모델링
Time-Domain Elastic Wave Modeling in Anisotropic Media using Cell-Based Finite-Difference Method
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초록
Since seismic anisotropy often appears in geological media, which may result from various causes, we need to describe anisotropic features in seismic modeling and inversion. Although a number of modeling algorithms were developed to describe seismic anisotropy, we still need to develop a simple but accurate modeling algorithm to simulate geological scale models. For such a modeling algorithm for anisotropic media, we extend a time-domain cell-based finite-difference method to anisotropic media. Since the cell-based finite-difference scheme only employs displacements, we can expect that our anisotropic modeling algorithm is computationally more efficient than the staggered-grid finite-difference method. Because our algorithm does not require any interpolations, it’s possible to simulate a model whose material properties abruptly change. In order to suppress artificial reflections originating from the outer boundaries of a given model, we apply Higdon’s absorbing boundary conditions. Numerical examples show that our modeling algorithm can properly describe anisotropic features.
Abstract
Since seismic anisotropy often appears in geological media, which may result from various causes, we need to describe anisotropic features in seismic modeling and inversion. Although a number of modeling algorithms were developed to describe seismic anisotropy, we still need to develop a simple but accurate modeling algorithm to simulate geological scale models. For such a modeling algorithm for anisotropic media, we extend a time-domain cell-based finite-difference method to anisotropic media. Since the cell-based finite-difference scheme only employs displacements, we can expect that our anisotropic modeling algorithm is computationally more efficient than the staggered-grid finite-difference method. Because our algorithm does not require any interpolations, it’s possible to simulate a model whose material properties abruptly change. In order to suppress artificial reflections originating from the outer boundaries of a given model, we apply Higdon’s absorbing boundary conditions. Numerical examples show that our modeling algorithm can properly describe anisotropic features.
참고문헌 (19)
- 민동주, "시간영역 변위근사 유한차분법의 자유면 경계조건", 물리탐사, 6(2), pp.77~86 (2003), 한국물리탐사학회
- Cerjan, C., "A nonreflecting boundary condition for discrete acoustic and elastic wave equations", Geophysics, 50, pp.705~708 (1985)
- Clayton, R., "Absorbing boundary conditions for acoustic and elastic wave equations", Bulletin of the Seismological Society of America, 67, pp.1529~1540 (1977)
- Kelly, K. R., "Synthetic seismograms: A finite-difference approach", Geophysics, 53, pp.1045~1055 (1976)
- Faria, E. L., "-difference modeling in transversely isotropic media", Geophysics, 59, pp.282~289 (1994)
- Gao, H., "Parallel 3-D simulation of seismic wave propagation in heterogeneous anisotropic media: a grid method approach", Geophys. J. International, 165, pp.875~888 (2006)
- Graves, R. W., "Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences", Bull. Seism. Soc. Am, 86, pp.1091~1106 (1996)
- Igel, H., "Anisotropic wave propagation through finite-difference grids", Geophysics, 60, pp.1203~1216 (1995)
- Higdon, R. L., "Absorbing boundary conditions for elastic waves", Geophysics, 56, pp.231~24 (1991)
- Juhlin, C., "Finite-difference elastic wave propagation in 2D heterogeneous transversely isotropic media", Geopysical Prospecting, 43, pp.843~858 (1995)
- Min, D. -J., "Free-surface boundary condition in finite-difference elastic wave modeling", Bulletin of the Seismological Society of America, 94, pp.237~250 (2004)
- Randall, C. J., "Absorbing boundary condition for the elastic wave equation", Geophysics, 53, pp.611~624 (1988)
- Saenger, E. H., "Modeling the propagation of elastic waves using a modified finite-difference grid", Wave motion, 31, pp.77~92 (2000)
- Saenger, E. H., "Finite-difference modling of viscoelastic and anisotropic wave propagation using the rotated staggered grid", Geophysics, 69, pp.583~591 (2004)
- Shin, C., "Sponge boundary condition for frequency-domain modeling", Geophysics, 60, pp.1870~1874 (1995)
- Thomsen, L., "Weak elastic anisotropy", Geophysics, 51, pp.1954~1966 (1986)
- Tsingas, C., "Elastic wave propagation in transversely isotropic media using finite differences", Geophysical Prospecting, 38, pp.933~949 (1990)
- Vidale J. E., "A stable free-surface boundary condition for two-dimensional elastic finite-difference wave simulation", Geophysics, 51, pp.2247~2249 (1986)
- Write, J., "The effects of transverse isotropy on reflection amplitude versus offset", Geophysics, 52, pp.564~567 (1987)