메뉴 건너뛰기




Volumn 167, Issue 1, 2006, Pages 337-353

Traction image method for irregular free surface boundaries in finite difference seismic wave simulation

Author keywords

Finite difference; MacCormack scheme; Seismic wave simulation; Stress image method; Topography; Traction Image method

Indexed keywords

ALGORITHM; FINITE DIFFERENCE METHOD; IMAGE PROCESSING; NUMERICAL METHOD; SEISMIC WAVE; TOPOGRAPHY;

EID: 33749369288     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03113.x     Document Type: Article
Times cited : (287)

References (54)
  • 1
    • 0016973599 scopus 로고
    • Rupture propagation with finite stress in antiplane strain
    • Andrews, D.J., 1976a. Rupture propagation with finite stress in antiplane strain, J. Geophys. Res., 81, 3575-3582.
    • (1976) J. Geophys. Res. , vol.81 , pp. 3575-3582
    • Andrews, D.J.1
  • 2
    • 0017025225 scopus 로고
    • Rupture velocity of plane strain shear cracks
    • Andrews, D.J., 1976b. Rupture velocity of plane strain shear cracks, J. Geophys. Res., 81, 5679-5687.
    • (1976) J. Geophys. Res. , vol.81 , pp. 5679-5687
    • Andrews, D.J.1
  • 3
    • 0022767765 scopus 로고
    • A 4th-order accurate finite-difference scheme for the computation of elastic-waves
    • Bayliss, A., Jordan, K.E., Lemesurier, B.J. & Turkel, E., 1986. A 4th-order accurate finite-difference scheme for the computation of elastic-waves, Bull. Seism. Soc. Am., 76, 1115-1132.
    • (1986) Bull. Seism. Soc. Am. , vol.76 , pp. 1115-1132
    • Bayliss, A.1    Jordan, K.E.2    Lemesurier, B.J.3    Turkel, E.4
  • 4
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Berenger, J., 1994. A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Geophys., 114, 185-200.
    • (1994) J. Comput. Geophys. , vol.114 , pp. 185-200
    • Berenger, J.1
  • 5
    • 0002743147 scopus 로고
    • Finite-difference methods for seismic waves
    • ed., Academic Press, New York
    • Boore, D.M., 1972. Finite-difference methods for seismic waves, In: Methods in Computational Physics, Vol. 11, 1-37. Bolt B. A., ed., Academic Press, New York.
    • (1972) Bolt B. A. , vol.11 , pp. 1-37
    • Boore, D.M.1
  • 7
    • 0000402847 scopus 로고
    • A Nonreflecting boundary-condition for discrete acoustic and elastic wave-equations
    • Cerjan, C., Kosloff, D., Kosloff, R. & Reshef, M., 1985. A Nonreflecting boundary-condition for discrete acoustic and elastic wave-equations, Geophysics, 50, 705-708.
    • (1985) Geophysics , vol.50 , pp. 705-708
    • Cerjan, C.1    Kosloff, D.2    Kosloff, R.3    Reshef, M.4
  • 8
    • 0027847241 scopus 로고
    • A systematic and efficient method of computing normal-modes for multilayered half-space
    • Chen, X.F., 1993. A systematic and efficient method of computing normal-modes for multilayered half-space, Geophys. J. Int., 115, 391-401.
    • (1993) Geophys. J. Int. , vol.115 , pp. 391-401
    • Chen, X.F.1
  • 9
    • 0000216082 scopus 로고    scopus 로고
    • Seismograms synthesis in multi-layered half-space media. Part I. Theoretical formulations
    • Chen, X.F., 1999. Seismograms synthesis in multi-layered half-space media. Part I. Theoretical formulations, Earthquake Res. in China, 13, 149-174.
    • (1999) Earthquake Res. in China , vol.13 , pp. 149-174
    • Chen, X.F.1
  • 10
    • 4644318083 scopus 로고    scopus 로고
    • Dynamic rupture simulation of non-planar faults with a finite-difference approach
    • Cruz-Atienza V.M. & Virieux, J., 2004. Dynamic rupture simulation of non-planar faults with a finite-difference approach, Geophys. J. Int., 158, 939-954.
    • (2004) Geophys. J. Int. , vol.158 , pp. 939-954
    • Cruz-Atienza, V.M.1    Virieux, J.2
  • 11
    • 0029416347 scopus 로고
    • Wave-propagation in heterogeneous, porous-media-a velocity-stress, finite-difference method
    • Dai, N., Vafidis, A. & Kanasewich, E.R., 1995. Wave-propagation in heterogeneous, porous-media-a velocity-stress, finite-difference method, Geophysics, 60, 327-340.
    • (1995) Geophysics , vol.60 , pp. 327-340
    • Dai, N.1    Vafidis, A.2    Kanasewich, E.R.3
  • 12
    • 0004160089 scopus 로고
    • Computational Mechanics Publications, Southampton, UK
    • Dominguez, J., 1993. Boundary Elements in Dynamics, Computational Mechanics Publications, Southampton, UK.
    • (1993) Boundary Elements in Dynamics
    • Dominguez, J.1
  • 13
    • 0024012212 scopus 로고
    • The pseudospectral method-accurate representation of interfaces in elastic wave calculations
    • Fornberg, B., 1988. The pseudospectral method-accurate representation of interfaces in elastic wave calculations, Geophysics, 53, 625-637.
    • (1988) Geophysics , vol.53 , pp. 625-637
    • Fornberg, B.1
  • 14
    • 0027040714 scopus 로고
    • Evaluation of topographic effects on P -waves and S -waves of explosions at the northern Novaya test site using 3-D numerical simulations
    • Frankel, A. & Leith, W., 1992. Evaluation of topographic effects on P -waves and S -waves of explosions at the northern Novaya test site using 3-D numerical simulations, Geophys. Res. Lett., 19, 1887-90.
    • (1992) Geophys. Res. Lett. , vol.19 , pp. 1887-1890
    • Frankel, A.1    Leith, W.2
  • 15
    • 24944465363 scopus 로고    scopus 로고
    • P-SV wave-field connection technique for regional wave propagation simulation
    • Ge, Z.X., Fu, L.Y. & Wu, R.S., 2005. P-SV wave-field connection technique for regional wave propagation simulation, Bull. Seism. Soc. Am., 95, 1375-1386.
    • (2005) Bull. Seism. Soc. Am. , vol.95 , pp. 1375-1386
    • Ge, Z.X.1    Fu, L.Y.2    Wu, R.S.3
  • 16
    • 84966234283 scopus 로고
    • Dissipative 2-4 methods for time-dependent problems
    • Gottlieb, D. & Turkel, E., 1976. Dissipative 2-4 methods for time-dependent problems, Mathematics of Computation, 30, 703-723.
    • (1976) Mathematics of Computation , vol.30 , pp. 703-723
    • Gottlieb, D.1    Turkel, E.2
  • 17
    • 0035359866 scopus 로고    scopus 로고
    • Accuracy of the explicit planar free-surface boundary condition implemented in a fourth-order staggered-grid velocity-stress finite-difference scheme
    • Gottschammer, E. & Olsen, K.B., 2001. Accuracy of the explicit planar free-surface boundary condition implemented in a fourth-order staggered-grid velocity-stress finite-difference scheme, Bull. Seism. Soc. Am., 91, 617-623.
    • (2001) Bull. Seism. Soc. Am. , vol.91 , pp. 617-623
    • Gottschammer, E.1    Olsen, K.B.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
    • 0001977010 scopus 로고
    • SH-wave generation by dislocation source - A numerical study
    • Herrmann, R.B., 1979. SH-wave generation by dislocation source - a numerical study, Bull. seism. Soc. Am., 69, 1-15.
    • (1979) Bull. Seism. Soc. Am. , vol.69 , pp. 1-15
    • Herrmann, R.B.1
  • 20
    • 0028167120 scopus 로고
    • 2-D Finite-difference elastic wave modeling including surface topography
    • Hestholm, S. & Ruud, B., 1994. 2-D Finite-difference elastic wave modeling including surface topography, Geophys. Prosp., 42, 371-390.
    • (1994) Geophys. Prosp. , vol.42 , pp. 371-390
    • Hestholm, S.1    Ruud, B.2
  • 21
    • 0032030043 scopus 로고    scopus 로고
    • 3-D finite-difference elastic wave modeling including surface topography
    • Hestholm, S. & Ruud, B., 1998. 3-D finite-difference elastic wave modeling including surface topography, Geophysics, 63, 613-622.
    • (1998) Geophysics , vol.63 , pp. 613-622
    • Hestholm, S.1    Ruud, B.2
  • 22
    • 3142717673 scopus 로고    scopus 로고
    • On increasing the accuracy of MacCormack schemes for aeroacoustic applications
    • Hixon, R., 1997. On increasing the accuracy of MacCormack schemes for aeroacoustic applications, AIAA Paper, 97-1586.
    • (1997) AIAA Paper , pp. 97-1586
    • Hixon, R.1
  • 23
    • 0032273587 scopus 로고    scopus 로고
    • Evaluation of a high-accuracy MacCormack-type scheme using benchmark problems
    • Hixon, R., 1998. Evaluation of a high-accuracy MacCormack-type scheme using benchmark problems, Journal of Computational Acoustics, 6, 291-305.
    • (1998) Journal of Computational Acoustics , vol.6 , pp. 291-305
    • Hixon, R.1
  • 24
    • 0001780864 scopus 로고    scopus 로고
    • Compact implicit MacCormack-type schemes with high accuracy
    • Hixon, R. & Turkel, E., 2000. Compact implicit MacCormack-type schemes with high accuracy, Journal of Computational Physics, 158, 51-70.
    • (2000) Journal of Computational Physics , vol.158 , pp. 51-70
    • Hixon, R.1    Turkel, E.2
  • 25
    • 0344006664 scopus 로고    scopus 로고
    • Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
    • Hu, F.Q., Hussaini, M.Y. & Manthey, J.L., 1996. Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics, Journal of Computational Physics, 124, 177-191.
    • (1996) Journal of Computational Physics , vol.124 , pp. 177-191
    • Hu, F.Q.1    Hussaini, M.Y.2    Manthey, J.L.3
  • 26
    • 3142735086 scopus 로고    scopus 로고
    • Mixed-grid and staggered-grid finite-difference methods for frequency-domain acoustic wave modelling
    • Hustedt, B., Operto, S. & Virieux, J., 2004. Mixed-grid and staggered-grid finite-difference methods for frequency-domain acoustic wave modelling, Geophysical Journal International, 157 (3), 1269-1296.
    • (2004) Geophysical Journal International , vol.157 , Issue.3 , pp. 1269-1296
    • Hustedt, B.1    Operto, S.2    Virieux, J.3
  • 27
    • 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
  • 28
    • 0024165803 scopus 로고
    • Free-boundary conditions of arbitrary polygonal topography in a two-dimensional explicit elastic finite-difference scheme
    • Jih, R.S., McLaughlinf, K.L. & Der, Z.A., 1988. Free-boundary conditions of arbitrary polygonal topography in a two-dimensional explicit elastic finite-difference scheme, Geophysics, 53, 1045-1055.
    • (1988) Geophysics , vol.53 , pp. 1045-1055
    • Jih, R.S.1    McLaughlinf, K.L.2    Der, Z.A.3
  • 29
    • 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
  • 31
    • 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
  • 32
    • 0036244850 scopus 로고    scopus 로고
    • Efficient methods to simulate planar free surface in the 3D 4(th)-order staggered-grid finite-difference schemes
    • Kristek, J., Moczo, P. & Archuleta, R.J., 2002. Efficient methods to simulate planar free surface in the 3D 4(th)-order staggered-grid finite-difference schemes, Studia Geophysica et Geodaetica, 46, 355-381.
    • (2002) Studia Geophysica Et Geodaetica , vol.46 , pp. 355-381
    • Kristek, J.1    Moczo, P.2    Archuleta, R.J.3
  • 33
    • 0024250724 scopus 로고
    • 4th-order finite-difference p-sv seismograms
    • Levander, A.R., 1988. 4th-order finite-difference p-sv seismograms, Geophysics, 53, 1425-1436.
    • (1988) Geophysics , vol.53 , pp. 1425-1436
    • Levander, A.R.1
  • 34
    • 0000345637 scopus 로고
    • On the Green's functions for a layered half-space
    • Luco, J.E. & Apsel, R.J., 1983. On the Green's functions for a layered half-space. Part I, Bull. Seism. Soc. Am., 73, 909-929.
    • (1983) Part I, Bull. Seism. Soc. Am. , vol.73 , pp. 909-929
    • Luco, J.E.1    Apsel, R.J.2
  • 35
    • 0000334985 scopus 로고
    • The effect of viscosity in hypervelocity impact cratering
    • MacCormack, R.W., 1969. The effect of viscosity in hypervelocity impact cratering, AIAA Paper, 69-354.
    • (1969) AIAA Paper , pp. 69-354
    • MacCormack, R.W.1
  • 36
    • 0001361257 scopus 로고
    • Dynamics of an Expanding Circular Fault
    • Madariaga, R., 1976. Dynamics of an Expanding Circular Fault, Bull. Seism. Soc. Am., 66, 639-666.
    • (1976) Soc. Am. , vol.66 , pp. 639-666
    • Madariaga, R.1
  • 37
    • 0032458820 scopus 로고    scopus 로고
    • Modeling dynamic rupture in a 3D earthquake fault model
    • Madariaga, R., Olsen, K. & Archuleta, R., 1998. Modeling dynamic rupture in a 3D earthquake fault model, Bull. Seism. Soc. Am., 88, 1182-1197.
    • (1998) Bull. Seism. Soc. Am. , vol.88 , pp. 1182-1197
    • Madariaga, R.1    Olsen, K.2    Archuleta, R.3
  • 38
    • 0028668897 scopus 로고
    • Finite-Differences on minimal grids
    • Magnier, SA., Mora, P., Tarantola, A., 1994. Finite-Differences on minimal grids, Geophysics, 59 (9), 1435-1443.
    • (1994) Geophysics , vol.59 , Issue.9 , pp. 1435-1443
    • Magnier, S.A.1    Mora, P.2    Tarantola, A.3
  • 39
    • 0042885467 scopus 로고    scopus 로고
    • On the implementation of perfectly matched layers in a three-dimensional forth-order velocity-stress finite difference scheme
    • Marcinkovich, C., Olsen, K., 2003. On the implementation of perfectly matched layers in a three-dimensional forth-order velocity-stress finite difference scheme, J. Geophys. Res., 108, B5, 2276.
    • (2003) J. Geophys. Res. , vol.108 , Issue.B5 , pp. 2276
    • Marcinkovich, C.1    Olsen, K.2
  • 40
    • 0036946358 scopus 로고    scopus 로고
    • 3D heterogeneous staggered-grid finite-difference modeling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities
    • Moczo, P., Kristek, J., Vavrycuk, V., Archuleta, R.J. & Ladislav, H., 2002. 3D heterogeneous staggered-grid finite-difference modeling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities, Bull. Seism. Soc. Am., 92, 3042-3066.
    • (2002) Bull. Seism. Soc. Am. , vol.92 , pp. 3042-3066
    • Moczo, P.1    Kristek, J.2    Vavrycuk, V.3    Archuleta, R.J.4    Ladislav, H.5
  • 41
    • 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
  • 42
    • 0030685823 scopus 로고    scopus 로고
    • Three dimensional dynamic simulations of the 1992 Landers earthquake
    • Olsen, K., Madariaga, R. & Archuleta, R.J., 1997. Three dimensional dynamic simulations of the 1992 Landers earthquake, Science, 278, 834-838.
    • (1997) Science , vol.278 , pp. 834-838
    • Olsen, K.1    Madariaga, R.2    Archuleta, R.J.3
  • 43
    • 0033045840 scopus 로고    scopus 로고
    • Elastic finite-difference method for irregular grids
    • Oprsal, I. & Zahradnik, J., 1999. Elastic finite-difference method for irregular grids, Geophysics, 64, 240-250.
    • (1999) Geophysics , vol.64 , pp. 240-250
    • Oprsal, I.1    Zahradnik, J.2
  • 44
    • 0030265497 scopus 로고    scopus 로고
    • Modeling 3D surface topography by finite-difference method: Kobe-JMA station site, Japan, case study
    • Pitarka, A. & Irikura, K., 1996. Modeling 3D surface topography by finite-difference method: Kobe-JMA station site, Japan, case study, Geophys. Res. Lett., 23, 2729-2732.
    • (1996) Geophys. Res. Lett. , vol.23 , pp. 2729-2732
    • Pitarka, A.1    Irikura, K.2
  • 45
    • 0030292018 scopus 로고    scopus 로고
    • A numerical free-surface condition for elastic/viscoelastic finite-difference modeling in the presence of topography
    • Robertsson, J., 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.1
  • 46
    • 19644369292 scopus 로고
    • Dispersion-Relation-Preserving finite-difference schemes for computational acoustics
    • Tam, C. & Webb, J.C., 1993. Dispersion-Relation-Preserving finite-difference schemes for computational acoustics, J. Computational Phys., 107, 262-281.
    • (1993) J. Computational Phys. , vol.107 , pp. 262-281
    • Tam, C.1    Webb, J.C.2
  • 48
    • 0025660044 scopus 로고
    • Elastic wave-propagation in transversely isotropic media using finite-differences
    • Tsingas, C., Vafidis, A. & Kanasewich, E.R., 1990. Elastic wave-propagation in transversely isotropic media using finite-differences, Geophys. Prospecting, 38, 933-949.
    • (1990) Geophys. Prospecting , vol.38 , pp. 933-949
    • Tsingas, C.1    Vafidis, A.2    Kanasewich, E.R.3
  • 49
    • 0026614516 scopus 로고
    • Elastic wave-propagation using fully vectorized high-order finite-difference algorithms
    • Vafidis, A., Abramovici, F. & Kanasewich, E.R., 1992. Elastic wave-propagation using fully vectorized high-order finite-difference algorithms. Geophysics, 57 (2), 218-232.
    • (1992) Geophysics , vol.57 , Issue.2 , pp. 218-232
    • Vafidis, A.1    Abramovici, F.2    Kanasewich, E.R.3
  • 50
    • 0021638830 scopus 로고
    • SH-wave propagation in heterogeneous media-velocity-stress finite-difference method
    • Virieux, J., 1984. SH-wave propagation in heterogeneous media-velocity-stress finite-difference method, Geophysics, 49, 1933-1942.
    • (1984) Geophysics , vol.49 , pp. 1933-1942
    • Virieux, J.1
  • 51
    • 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
  • 52
    • 0034978232 scopus 로고    scopus 로고
    • Modelling seismic wave propagation in a two-dimensional cylindrical whole-earth model using the pseudospectral method
    • Wang, Y.B., Takenaka, H. & Furumura, T., 2001. Modelling seismic wave propagation in a two-dimensional cylindrical whole-earth model using the pseudospectral method, Geophys. J. Int., 145, 689-708.
    • (2001) Geophys. J. Int. , vol.145 , pp. 689-708
    • Wang, Y.B.1    Takenaka, H.2    Furumura, T.3
  • 53
    • 33744700659 scopus 로고
    • P-SV Wave responses for a point source in two-dimensional heterogeneous media: Finite-Difference Approximation
    • Xie, X.B. & Yao, Z.X., 1988. P-SV Wave responses for a point source in two-dimensional heterogeneous media: Finite-Difference Approximation, Chinese Journal of Geophysics, 31 (3), 473-493.
    • (1988) Chinese Journal of Geophysics , vol.31 , Issue.3 , pp. 473-493
    • Xie, X.B.1    Yao, Z.X.2
  • 54
    • 0029509525 scopus 로고
    • Simple elastic finite-difference scheme
    • Zahradnik, J., 1995. Simple elastic finite-difference scheme, Bull. Seism. Soc. Am., 85, 1879-1887.
    • (1995) Bull. Seism. Soc. Am. , vol.85 , pp. 1879-1887
    • Zahradnik, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.