메뉴 건너뛰기




Volumn 139, Issue 3, 1999, Pages 806-822

Introduction to the spectral element method for three-dimensional seismic wave propagation

Author keywords

Attenuation; Finite element methods; Numerical techniques; Seismic modelling; Seismic wave propagation; Topography

Indexed keywords

FINITE ELEMENT METHOD; SEISMIC ATTENUATION; SEISMIC WAVE; WAVE PROPAGATION;

EID: 0033400861     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00967.x     Document Type: Article
Times cited : (1242)

References (61)
  • 2
    • 84966218871 scopus 로고
    • Coupling finite element and spectral methods: First results
    • Bernardi, C. Debit, N. & Maday, Y., 1990. Coupling finite element and spectral methods: first results, Math. Comput., 54, 21-39.
    • (1990) Math. Comput. , vol.54 , pp. 21-39
    • Bernardi, C.1    Debit, N.2    Maday, Y.3
  • 3
    • 0001645254 scopus 로고
    • A simple method to calculate Green's functions for elastic layered media
    • Bouchon, M., 1981. A simple method to calculate Green's functions for elastic layered media, Bull. seism. Soc. Am., 71, 959-971.
    • (1981) Bull. Seism. Soc. Am. , vol.71 , pp. 959-971
    • Bouchon, M.1
  • 4
    • 0029731758 scopus 로고    scopus 로고
    • Effect of three-dimensional topography on seismic motion
    • Bouchon, M., Schultz, C.A. & Töksoz, M.N., 1996. Effect of three-dimensional topography on seismic motion, J. geophys. Res., 101, 5835-5846.
    • (1996) J. Geophys. Res. , vol.101 , pp. 5835-5846
    • Bouchon, M.1    Schultz, C.A.2    Töksoz, M.N.3
  • 6
    • 0028666864 scopus 로고
    • The wave equation in generalized coordinates
    • Carcione, J.M., 1994. The wave equation in generalized coordinates, Geophysics, 59, 1911-1919.
    • (1994) Geophysics , vol.59 , pp. 1911-1919
    • Carcione, J.M.1
  • 7
    • 0024221431 scopus 로고
    • Wave propagation simulation in a linear viscoelastic medium
    • Carcione, J.M., Kosloff, D. & Kosloff, R., 1988. Wave propagation simulation in a linear viscoelastic medium, Geophys. J. Int., 95, 597-611.
    • (1988) Geophys. J. Int. , vol.95 , pp. 597-611
    • Carcione, J.M.1    Kosloff, D.2    Kosloff, R.3
  • 8
    • 0001511108 scopus 로고    scopus 로고
    • 3D wave propagation in a spherical earth model using the spectral element method
    • Chaljub, E. & Vilotte, J.P., 1998. 3D wave propagation in a spherical earth model using the spectral element method, EOS, Trans. Am. geophys. Un., 79, F625-F626.
    • (1998) EOS, Trans. Am. Geophys. Un. , vol.79
    • Chaljub, E.1    Vilotte, J.P.2
  • 9
    • 0000681266 scopus 로고
    • Absorbing boundary conditions for acoustic and elastic wave equations
    • Clayton, R. & Engquist, B., 1977. Absorbing boundary conditions for acoustic and elastic wave equations, Bull. seism. Soc. Am., 67, 1529-1540.
    • (1977) Bull. Seism. Soc. Am. , vol.67 , pp. 1529-1540
    • Clayton, R.1    Engquist, B.2
  • 10
    • 0002370460 scopus 로고
    • Construction and analysis of higher-order finite elements with mass lumping for the wave equation
    • ed. Kleinman, R., SIAM, Philadelphia
    • Cohen, G., Joly, P. & Tordjman, N., 1993. Construction and analysis of higher-order finite elements with mass lumping for the wave equation, in 2nd Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, ed. Kleinman, R., pp. 152-160, SIAM, Philadelphia.
    • (1993) 2nd Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation , pp. 152-160
    • Cohen, G.1    Joly, P.2    Tordjman, N.3
  • 11
    • 0031798055 scopus 로고    scopus 로고
    • Efficient simulation of constant Q using coarse-grained memory variables
    • Day, S.M., 1998. Efficient simulation of constant Q using coarse-grained memory variables, Bull. seism. Soc. Am., 88, 1051-1062.
    • (1998) Bull. Seism. Soc. Am. , vol.88 , pp. 1051-1062
    • Day, S.M.1
  • 13
    • 0023421286 scopus 로고
    • Incorporation of attenuation into time-domain computations of seismic wave fields
    • Emmerich, H. & Korn, M., 1987. Incorporation of attenuation into time-domain computations of seismic wave fields. Geophysics, 52, 1252-1264.
    • (1987) Geophysics , vol.52 , pp. 1252-1264
    • Emmerich, H.1    Korn, M.2
  • 14
    • 0000670532 scopus 로고    scopus 로고
    • 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method
    • Faccioli, E., Maggio, F., Paolucci, R. & Quarteroni, A., 1997. 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method, J. Seism., 1, 237-251.
    • (1997) J. Seism. , vol.1 , pp. 237-251
    • Faccioli, E.1    Maggio, F.2    Paolucci, R.3    Quarteroni, A.4
  • 15
    • 0028450352 scopus 로고
    • Spectral element methods for large scale parallel Navier-Stokes calculations
    • Fischer, P.F. & Rønquist, E.M., 1994. Spectral element methods for large scale parallel Navier-Stokes calculations, Comp. Meth. appl. Mech. Eng., 116, 69-76.
    • (1994) Comp. Meth. Appl. Mech. Eng. , vol.116 , pp. 69-76
    • Fischer, P.F.1    Rønquist, E.M.2
  • 16
    • 0032458514 scopus 로고    scopus 로고
    • Seismic wave-field calculation for laterally heterogeneous whole earth models using the pseudospectral method
    • Furumura, T., Kennett, B.L.N. & Furumura, M., 1998. Seismic wave-field calculation for laterally heterogeneous whole earth models using the pseudospectral method, Geophys. J. Int., 135, 845-860.
    • (1998) Geophys. J. Int. , vol.135 , pp. 845-860
    • Furumura, T.1    Kennett, B.L.N.2    Furumura, M.3
  • 17
    • 0028322794 scopus 로고
    • Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the direct solution method
    • Geller, R.J. & Ohminato, T., 1994. Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the direct solution method, Geophys. J. Int., 116, 421-446.
    • (1994) Geophys. J. Int. , vol.116 , pp. 421-446
    • Geller, R.J.1    Ohminato, T.2
  • 18
    • 0030439369 scopus 로고    scopus 로고
    • Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences
    • Graves, R.W., 1996. Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences, Bull. seism. Soc. Am., 86, 1091-1106.
    • (1996) Bull. Seism. Soc. Am. , vol.86 , pp. 1091-1106
    • Graves, R.W.1
  • 19
    • 0042893223 scopus 로고
    • The h-p version of the finite element method
    • Guo, B. & Babuška, I., 1986. The h-p version of the finite element method, Comp. Mech., 1, 21-41.
    • (1986) Comp. Mech. , vol.1 , pp. 21-41
    • Guo, B.1    Babuška, I.2
  • 21
    • 0029486395 scopus 로고
    • Anisotropic wave propagation through finite-difference grids
    • Igel, H., Mora, P. & Riollet, B., 1995. Anisotropic wave propagation through finite-difference grids, Geophysics, 60, 1203-1216.
    • (1995) Geophysics , vol.60 , pp. 1203-1216
    • Igel, H.1    Mora, P.2    Riollet, B.3
  • 22
    • 0033006734 scopus 로고    scopus 로고
    • Applying finite element analysis to the memory variable formulation of wave propagation in anelastic media
    • Kay, I. & Krebes, E.S., 1999. Applying finite element analysis to the memory variable formulation of wave propagation in anelastic media, Geophysics, 64, 300-307.
    • (1999) Geophysics , vol.64 , pp. 300-307
    • Kay, I.1    Krebes, E.S.2
  • 23
    • 0016919839 scopus 로고
    • Synthetic seismograms: A finite difference approach
    • Kelly, K.R., Ward, R.W., Treitel, S. & Alford, R.M., 1976. Synthetic seismograms: a finite difference approach, Geophysics, 41, 2-27.
    • (1976) Geophysics , vol.41 , pp. 2-27
    • Kelly, K.R.1    Ward, R.W.2    Treitel, S.3    Alford, R.M.4
  • 25
    • 0031815577 scopus 로고    scopus 로고
    • The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures
    • Komatitsch, D. & Vilotte, J.P., 1998. The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures, Bull. seism. Soc. Am., 88, 368-392.
    • (1998) Bull. Seism. Soc. Am. , vol.88 , pp. 368-392
    • Komatitsch, D.1    Vilotte, J.P.2
  • 26
    • 0030423323 scopus 로고    scopus 로고
    • Tensorial formulation of the wave equation for modelling curved interfaces
    • Komatitsch, D., Coutel, F. & Mora, P., 1996. Tensorial formulation of the wave equation for modelling curved interfaces, Geophys. J. Int., 127, 156-168.
    • (1996) Geophys. J. Int. , vol.127 , pp. 156-168
    • Komatitsch, D.1    Coutel, F.2    Mora, P.3
  • 27
    • 0342310527 scopus 로고    scopus 로고
    • Wave propagation near a fluid-solid interface: A spectral element approach
    • in press
    • Komatitsch, D., Barnes, C. & Tromp, J. 1999a. Wave propagation near a fluid-solid interface: a spectral element approach, Geophysics, in press.
    • (1999) Geophysics
    • Komatitsch, D.1    Barnes, C.2    Tromp, J.3
  • 28
    • 85026598500 scopus 로고    scopus 로고
    • Simulation of anisotropic wave propagation based upon a spectral element method
    • submitted
    • Komatitsch, D., Barnes, C. & Tromp, J. 1999b. Simulation of anisotropic wave propagation based upon a spectral element method, Geophysics, submitted.
    • (1999) Geophysics
    • Komatitsch, D.1    Barnes, C.2    Tromp, J.3
  • 30
    • 0031388470 scopus 로고    scopus 로고
    • Hybrid finite element-spectral element approximation of wave propagation problems
    • Lahaye, D.J.P., Maggio, F. & Quarteroni, A., 1997. Hybrid finite element-spectral element approximation of wave propagation problems, East-West J. Num. Math., 5, 265-289.
    • (1997) East-west J. Num. Math. , vol.5 , pp. 265-289
    • Lahaye, D.J.P.1    Maggio, F.2    Quarteroni, A.3
  • 31
    • 84980249851 scopus 로고
    • Velocity dispersion due to anelasticity: Implications for seismology and mantle composition
    • Liu, H.P., Anderson, D.L. & Kanamori, H., 1976. Velocity dispersion due to anelasticity: implications for seismology and mantle composition, Geophys. J. R. astr. Soc., 47, 41-58.
    • (1976) Geophys. J. R. Astr. Soc. , vol.47 , pp. 41-58
    • Liu, H.P.1    Anderson, D.L.2    Kanamori, H.3
  • 33
    • 0025445673 scopus 로고
    • Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
    • Maday, Y. & Rønquist, E.M., 1990. Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries, Comp. Meth. appl. Mech. Eng., 80, 91-115.
    • (1990) Comp. Meth. Appl. Mech. Eng. , vol.80 , pp. 91-115
    • Maday, Y.1    Rønquist, E.M.2
  • 34
    • 0021644645 scopus 로고
    • Accuracy of finite-difference and finite-element modeling of the scalar wave equation
    • Marfurt, K.J., 1984. Accuracy of finite-difference and finite-element modeling of the scalar wave equation, Geophysics, 49, 533-549.
    • (1984) Geophysics , vol.49 , pp. 533-549
    • Marfurt, K.J.1
  • 35
    • 0031396659 scopus 로고    scopus 로고
    • Hybrid modeling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures
    • Moczo, P., Bystrický, E., Kristek, J., Carcione, J.M. & Bouchon, M., 1997. Hybrid modeling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures, Bull. seism. Soc. Am., 87, 1305-1323.
    • (1997) Bull. Seism. Soc. Am. , vol.87 , pp. 1305-1323
    • Moczo, P.1    Bystrický, E.2    Kristek, J.3    Carcione, J.M.4    Bouchon, M.5
  • 36
    • 38249006027 scopus 로고
    • Scattering of elastic waves by three-dimensional surface topographies
    • Mossessian, T.K. & Dravinski, M., 1989. Scattering of elastic waves by three-dimensional surface topographies, Wave Motion, 11, 579-592.
    • (1989) Wave Motion , vol.11 , pp. 579-592
    • Mossessian, T.K.1    Dravinski, M.2
  • 37
    • 0022223704 scopus 로고
    • The reflectivity method: A tutorial
    • Müller, G., 1985. The reflectivity method: a tutorial, J. Geophys., 58, 153-174.
    • (1985) J. Geophys. , vol.58 , pp. 153-174
    • Müller, G.1
  • 38
    • 0031436484 scopus 로고    scopus 로고
    • A free-surface boundary condition for including 3D topography in the finite difference method
    • Ohminato, T. & Chouet, B.A., 1997. A free-surface boundary condition for including 3D topography in the finite difference method, Bull. seism. Soc Am., 87, 494-515.
    • (1997) Bull. Seism. Soc Am. , vol.87 , pp. 494-515
    • Ohminato, T.1    Chouet, B.A.2
  • 39
    • 0030436579 scopus 로고    scopus 로고
    • 3-D simulation of earthquakes on the Los Angeles fault system
    • Olsen, K.B. & Archuleta, R.J., 1996. 3-D simulation of earthquakes on the Los Angeles fault system, Bull. seism. Soc. Am., 86, 575-596.
    • (1996) Bull. Seism. Soc. Am. , vol.86 , pp. 575-596
    • Olsen, K.B.1    Archuleta, R.J.2
  • 40
    • 0001072042 scopus 로고    scopus 로고
    • 3D response analysis of an instrumented hill at Matsuzaki, Japan, by a spectral method
    • Paolucci, R., Faccioli, E. & Maggio, F., 1999. 3D response analysis of an instrumented hill at Matsuzaki, Japan, by a spectral method, J. Seism., 3, 191-209.
    • (1999) J. Seism. , vol.3 , pp. 191-209
    • Paolucci, R.1    Faccioli, E.2    Maggio, F.3
  • 41
    • 48549109395 scopus 로고
    • A spectral element method for fluid dynamics: Laminar flow in a channel expansion
    • Patera, A.T., 1984. A spectral element method for fluid dynamics: laminar flow in a channel expansion, J. Comput. Phys., 54, 468-488.
    • (1984) J. Comput. Phys. , vol.54 , pp. 468-488
    • Patera, A.T.1
  • 42
    • 0031815432 scopus 로고    scopus 로고
    • Three-dimensional simulation of the near-fault ground motion for the 1995 Hyogo-ken Nanbu (Kobe), Japan, earthquake
    • Pitarka, A., Irikura, K., Iwata, T. & Sekiguchi, H., 1998. Three-dimensional simulation of the near-fault ground motion for the 1995 Hyogo-ken Nanbu (Kobe), Japan, earthquake, Bull. seism. Soc. Am., 88, 428-440.
    • (1998) Bull. Seism. Soc. Am. , vol.88 , pp. 428-440
    • Pitarka, A.1    Irikura, K.2    Iwata, T.3    Sekiguchi, H.4
  • 43
    • 0028123819 scopus 로고
    • Numerical simulation of interface waves by high-order spectral modeling techniques
    • Priolo, E., Carcione, J.M. & Seriani, G., 1994. Numerical simulation of interface waves by high-order spectral modeling techniques, J. acoust. Soc. Am., 95, 681-693.
    • (1994) J. Acoust. Soc. Am. , vol.95 , pp. 681-693
    • Priolo, E.1    Carcione, J.M.2    Seriani, G.3
  • 44
    • 0032154224 scopus 로고    scopus 로고
    • Generalized Galerkin approximations of elastic waves with absorbing boundary conditions
    • Quarteroni, A., Tagliani, A. & Zampieri, E., 1998. Generalized Galerkin approximations of elastic waves with absorbing boundary conditions, Comp. Meth. appl. Mech. Eng., 163, 323-341.
    • (1998) Comp. Meth. Appl. Mech. Eng , vol.163 , pp. 323-341
    • Quarteroni, A.1    Tagliani, A.2    Zampieri, E.3
  • 45
    • 0030292018 scopus 로고    scopus 로고
    • A numerical free-surface condition for elastic/viscoelastic finite-difference modeling in the presence of topography
    • Robertsson, J.O.A., 1996. A numerical free-surface condition for elastic/viscoelastic finite-difference modeling in the presence of topography, Geophysics, 61, 1921-1934.
    • (1996) Geophysics , vol.61 , pp. 1921-1934
    • Robertsson, J.O.A.1
  • 46
  • 47
    • 0030096121 scopus 로고    scopus 로고
    • The 'cubed sphere': A new method for the solution of partial differential equations in spherical geometry
    • Ronchi, C., Ianoco, R. & Paolucci, P.S., 1996. The 'Cubed Sphere': a new method for the solution of partial differential equations in spherical geometry, J. Comput. Phys., 124, 93-114.
    • (1996) J. Comput. Phys. , vol.124 , pp. 93-114
    • Ronchi, C.1    Ianoco, R.2    Paolucci, P.S.3
  • 48
    • 0001519984 scopus 로고
    • Diffraction of elastic waves by three-dimensional surface irregularities
    • Sánchez-Sesma, F.J., 1983. Diffraction of elastic waves by three-dimensional surface irregularities, Bull. seism. Soc. Am., 73, 1621-1636.
    • (1983) Bull. Seism. Soc. Am. , vol.73 , pp. 1621-1636
    • Sánchez-Sesma, F.J.1
  • 49
    • 0039646945 scopus 로고    scopus 로고
    • A parallel spectral element method for acoustic wave modeling
    • Seriani, G., 1997. A parallel spectral element method for acoustic wave modeling, J. Comput. Acoust., 5, 53-69.
    • (1997) J. Comput. Acoust. , vol.5 , pp. 53-69
    • Seriani, G.1
  • 50
    • 0032476189 scopus 로고    scopus 로고
    • 3-D large-scale wave propagation modeling by spectral element method on Cray T3E multiprocessor
    • Seriani, G., 1998. 3-D large-scale wave propagation modeling by spectral element method on Cray T3E multiprocessor, Comp. Meth. appl. Mech. Eng., 164, 235-247.
    • (1998) Comp. Meth. Appl. Mech. Eng. , vol.164 , pp. 235-247
    • Seriani, G.1
  • 51
    • 0028450299 scopus 로고
    • Spectral element method for acoustic wave simulation in heterogeneous media
    • Seriani, G. & Priolo, E., 1994. Spectral element method for acoustic wave simulation in heterogeneous media. Finite Elements in Analysis and Design, 16, 337-348.
    • (1994) Finite Elements in Analysis and Design , vol.16 , pp. 337-348
    • Seriani, G.1    Priolo, E.2
  • 52
    • 85053553756 scopus 로고
    • High-order spectral element method for elastic wave modeling
    • 62nd Int. Mtng of the SEG, New-Orleans
    • Seriani, G., Priolo, E., Carcione, J.M. & Padovani, E., 1992. High-order spectral element method for elastic wave modeling, in Expanded abstracts of the SEG, pp. 1285-1288, 62nd Int. Mtng of the SEG, New-Orleans.
    • (1992) Expanded Abstracts of the SEG , pp. 1285-1288
    • Seriani, G.1    Priolo, E.2    Carcione, J.M.3    Padovani, E.4
  • 54
    • 0028428937 scopus 로고
    • How to render second-order accurate time-stepping algorithms fourth-order accurate while retaining the stability and conservation properties
    • Tarnow, N. & Simo, J.C., 1994. How to render second-order accurate time-stepping algorithms fourth-order accurate while retaining the stability and conservation properties, Comp. Meth. appl. Mech. Eng., 115, 233-252.
    • (1994) Comp. Meth. Appl. Mech. Eng. , vol.115 , pp. 233-252
    • Tarnow, N.1    Simo, J.C.2
  • 55
    • 0028184326 scopus 로고
    • 3-D elastic modeling with surface topography by a Chebyshev spectral method
    • Tessmer, E. & Kosloff, D., 1994. 3-D elastic modeling with surface topography by a Chebyshev spectral method. Geophysics, 59, 464-473.
    • (1994) Geophysics , vol.59 , pp. 464-473
    • Tessmer, E.1    Kosloff, D.2
  • 56
    • 0000092890 scopus 로고
    • Multi-domain Chebyshev-Fourier method for the solution of the equations of motion of dynamic elasticity
    • Tessmer, E., Kessler, D., Kosloff, D. & Behle, A., 1992. Multi-domain Chebyshev-Fourier method for the solution of the equations of motion of dynamic elasticity, J. Comput. Phys., 100, 355-363.
    • (1992) J. Comput. Phys. , vol.100 , pp. 355-363
    • Tessmer, E.1    Kessler, D.2    Kosloff, D.3    Behle, A.4
  • 57
    • 0022928752 scopus 로고
    • P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method
    • Virieux, J., 1986. P-SV wave propagation in heterogeneous media: velocity-stress finite-difference method, Geophysics, 51, 889-901.
    • (1986) Geophysics , vol.51 , pp. 889-901
    • Virieux, J.1
  • 58
    • 0030430010 scopus 로고    scopus 로고
    • Slip history of the 1995 Kobe, Japan, earthquake determined from strong motion, teleseismic, and geodetic data
    • Wald, D.J., 1996. Slip history of the 1995 Kobe, Japan, earthquake determined from strong motion, teleseismic, and geodetic data, J. Phys. Earth. 44, 489-503.
    • (1996) J. Phys. Earth. , vol.44 , pp. 489-503
    • Wald, D.J.1
  • 59
    • 0031817445 scopus 로고    scopus 로고
    • The seismic responses of the Los Angeles basin, California
    • Wald, D.J. & Graves, R.W., 1998. The seismic responses of the Los Angeles basin, California, Bull. seism. Soc. Am., 88, 337-356.
    • (1998) Bull. Seism. Soc. Am. , vol.88 , pp. 337-356
    • Wald, D.J.1    Graves, R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.