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Volumn 182, Issue 3, 2010, Pages 1438-1454

2-D non-periodic homogenization of the elastic wave equation: SH case

Author keywords

Computational seismology; Numerical solutions; Seismic anisotropy; Wave propagation

Indexed keywords

ASYMPTOTIC EXPANSION; COMPUTATIONAL COSTS; COMPUTATIONAL SEISMOLOGY; DISCONTINUOUS MEDIA; EFFECTIVE PROPERTY; ELASTIC PROPERTIES; FIELD VARIABLES; FIRST-ORDER; MATERIAL PROPERTY; NUMERICAL SOLUTIONS; PERIODIC HOMOGENIZATION; PERIODIC MEDIA; SEISMIC ANISOTROPY; SPECTRAL ELEMENT; TOMOGRAPHIC IMAGES; UPSCALING; WAVEFIELDS;

EID: 77955729378     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04688.x     Document Type: Article
Times cited : (44)

References (33)
  • 2
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • Allaire G. Homogenization and two-scale convergence. SIAM J. Math. Anal. 1992, 23:1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 3
    • 70349652355 scopus 로고    scopus 로고
    • Diffractive behavior of the wave equation in periodic media: weak convergence analysis
    • Allaire G, Palombaro M, Rauch J. Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Annali di Matematica 2009, 188:561-589.
    • (2009) Annali di Matematica , vol.188 , pp. 561-589
    • Allaire, G.1    Palombaro, M.2    Rauch, J.3
  • 4
    • 0005508656 scopus 로고
    • Dynamique des composites élastiques périodiques
    • Auriault J, Bonnet G. Dynamique des composites élastiques périodiques. Arch. Mech 1985, 37(4-5):269-284.
    • (1985) Arch. Mech , vol.37 , Issue.4-5 , pp. 269-284
    • Auriault, J.1    Bonnet, G.2
  • 5
    • 0001227273 scopus 로고
    • Long-wave elastic anisotropy produced by horizontal layering
    • Backus G. Long-wave elastic anisotropy produced by horizontal layering. J. geophys. Res. 1962, 67(11):4427-4440.
    • (1962) J. geophys. Res. , vol.67 , Issue.11 , pp. 4427-4440
    • Backus, G.1
  • 6
    • 33646049366 scopus 로고    scopus 로고
    • Computation of large anisotropic seismic heterogeneities (CLASH)
    • Beucler E, Montagner J-P. Computation of large anisotropic seismic heterogeneities (CLASH). Geophys. J. Int. 2006, 165:447-468.
    • (2006) Geophys. J. Int. , vol.165 , pp. 447-468
    • Beucler, E.1    Montagner, J.-P.2
  • 7
    • 0030106886 scopus 로고    scopus 로고
    • Microstructural effects in elastic composites
    • Boutin C. Microstructural effects in elastic composites. Int. J. Solids Struct. 1996, 33:1023-1051.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 1023-1051
    • Boutin, C.1
  • 8
    • 0004529059 scopus 로고
    • Homogenization of a nonperiodic material
    • Briane M. Homogenization of a nonperiodic material. J. Math. Pure appl. (9) 1994, 73(1):47-66.
    • (1994) J. Math. Pure appl. (9) , vol.73 , Issue.1 , pp. 47-66
    • Briane, M.1
  • 9
    • 34547206641 scopus 로고    scopus 로고
    • Second order homogenization of the elastic wave equation for non-periodic layered media
    • Capdeville Y, Marigo JJ. Second order homogenization of the elastic wave equation for non-periodic layered media. Geophys. J. Int. 2007, 170:823-838.
    • (2007) Geophys. J. Int. , vol.170 , pp. 823-838
    • Capdeville, Y.1    Marigo, J.J.2
  • 10
    • 39049103771 scopus 로고    scopus 로고
    • Shallow layer correction for spectral element like methods
    • Capdeville Y, Marigo JJ. Shallow layer correction for spectral element like methods. Geophys. J. Int. 2008, 172:1135-1150.
    • (2008) Geophys. J. Int. , vol.172 , pp. 1135-1150
    • Capdeville, Y.1    Marigo, J.J.2
  • 11
    • 77953111856 scopus 로고    scopus 로고
    • 1-D non periodic homogenization for the wave equation
    • Capdeville Y, Guillot L, Marigo JJ. 1-D non periodic homogenization for the wave equation. Geophys. J. Int. 2010a, 181:897-910.
    • (2010) Geophys. J. Int. , vol.181 , pp. 897-910
    • Capdeville, Y.1    Guillot, L.2    Marigo, J.J.3
  • 12
    • 77955151105 scopus 로고    scopus 로고
    • 2-D non periodic homogenization to upscale elastic media for P-SV waves
    • doi: 10.1111/j.1365-246X.2010.04636.x
    • Capdeville Y, Guillot L, Marigo JJ. 2-D non periodic homogenization to upscale elastic media for P-SV waves. Geophys. J. Int. 2010b, 182:903-922. 10.1111/j.1365-246X.2010.04636.x, doi
    • (2010) Geophys. J. Int. , vol.182 , pp. 903-922
    • Capdeville, Y.1    Guillot, L.2    Marigo, J.J.3
  • 15
    • 0041585680 scopus 로고
    • Study of a boundary layer problem in elastic composite materials
    • Dumontet H. Study of a boundary layer problem in elastic composite materials. RAIRO Modél. Math. Anal. Numér. 1986, 20(2):265-286.
    • (1986) RAIRO Modél. Math. Anal. Numér. , vol.20 , Issue.2 , pp. 265-286
    • Dumontet, H.1
  • 16
    • 20444501406 scopus 로고    scopus 로고
    • The Newmark scheme as velocity-stress time-staggering: an efficient implementation for spectral element simulations of elastodynamics
    • Festa G, Vilotte J-P. The Newmark scheme as velocity-stress time-staggering: an efficient implementation for spectral element simulations of elastodynamics. Geophys. J. Int. 2005, 161:789-812.
    • (2005) Geophys. J. Int. , vol.161 , pp. 789-812
    • Festa, G.1    Vilotte, J.-P.2
  • 17
    • 42349086674 scopus 로고    scopus 로고
    • Efficient numerical surface wave propagation through the optimization of discrete crustal models-a technique based on non-linear dispersion curve matching (DCM)
    • Fichtner A, Igel H. Efficient numerical surface wave propagation through the optimization of discrete crustal models-a technique based on non-linear dispersion curve matching (DCM). Geophys. J. Int. 2008, 173:519-533.
    • (2008) Geophys. J. Int. , vol.173 , pp. 519-533
    • Fichtner, A.1    Igel, H.2
  • 18
    • 6444225916 scopus 로고    scopus 로고
    • Space-time multiscale model for wave propagation in heterogeneous media
    • Fish J, Chen W. Space-time multiscale model for wave propagation in heterogeneous media. Comp. Methods Appl. Mech. Eng. 2004, 193:4837-4856.
    • (2004) Comp. Methods Appl. Mech. Eng. , vol.193 , pp. 4837-4856
    • Fish, J.1    Chen, W.2
  • 19
    • 0037198565 scopus 로고    scopus 로고
    • Nonlocal dispersive model for wave propagation in heterogeneous media. Part 1: One-dimensional case
    • Fish J, Chen W, Nagai G. Nonlocal dispersive model for wave propagation in heterogeneous media. Part 1: One-dimensional case. Int. J. Numer. Methods Eng. 2002, 54:331-346.
    • (2002) Int. J. Numer. Methods Eng. , vol.54 , pp. 331-346
    • Fish, J.1    Chen, W.2    Nagai, G.3
  • 20
    • 0022862030 scopus 로고
    • Homogenization and optimal bounds in linear elasticity
    • Francfort GA, Murat F. Homogenization and optimal bounds in linear elasticity. Arch. Rational Mech. Anal. 1986, 94(4):307-334.
    • (1986) Arch. Rational Mech. Anal. , vol.94 , Issue.4 , pp. 307-334
    • Francfort, G.A.1    Murat, F.2
  • 21
    • 0347355324 scopus 로고    scopus 로고
    • Effective media: a forward modeling view
    • Grechka V. Effective media: a forward modeling view. Geophysics 2003, 68(6):2055-2062.
    • (2003) Geophysics , vol.68 , Issue.6 , pp. 2055-2062
    • Grechka, V.1
  • 22
    • 0025262662 scopus 로고
    • Stochastic analysis of global traveltime data: mantle heterogeneity and random errors in the ISC data
    • Gudmundsson O, Davies JH, Clayton RW. Stochastic analysis of global traveltime data: mantle heterogeneity and random errors in the ISC data. Geophys. J. Int. 1990, 102:25-43.
    • (1990) Geophys. J. Int. , vol.102 , pp. 25-43
    • Gudmundsson, O.1    Davies, J.H.2    Clayton, R.W.3
  • 24
    • 0031815577 scopus 로고    scopus 로고
    • The spectral element method: an effective tool to simulate the seismic response of 2-D and 3D geological structures
    • Komatitsch D, Vilotte JP. The spectral element method: an effective tool to simulate the seismic response of 2-D and 3D geological structures. Bull. seism. Soc. Am. 1998, 88:368-392.
    • (1998) Bull. seism. Soc. Am. , vol.88 , pp. 368-392
    • Komatitsch, D.1    Vilotte, J.P.2
  • 25
    • 65649138756 scopus 로고    scopus 로고
    • On homogenization of activated laminates in 1-D-space and time
    • Lurie KA. On homogenization of activated laminates in 1-D-space and time. Z. Angew. Math. Mech. 2009, 4:333-340.
    • (2009) Z. Angew. Math. Mech. , vol.4 , pp. 333-340
    • Lurie, K.A.1
  • 27
    • 0037224638 scopus 로고    scopus 로고
    • Homogenized structures and applications I
    • Nguetseng G. Homogenized structures and applications I. Z. Anal. Anwendungen 2003, 22:73-107.
    • (2003) Z. Anal. Anwendungen , vol.22 , pp. 73-107
    • Nguetseng, G.1
  • 28
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating random coefficients
    • Seria Colloquia Mathematica Societatis Janos Bolyai, North Holland
    • Papanicolaou GC, Varadhan S. Boundary value problems with rapidly oscillating random coefficients. Proceedings of Conference on Random Fields, Esztergom, Hungary, 27 1979, 835-873. Seria Colloquia Mathematica Societatis Janos Bolyai, pp., North Holland
    • (1979) Proceedings of Conference on Random Fields, Esztergom, Hungary, 27 , pp. 835-873
    • Papanicolaou, G.C.1    Varadhan, S.2
  • 29
    • 33744524282 scopus 로고    scopus 로고
    • Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves
    • Parnell W, Abrahams I. Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Wave Motion 2006, 43:474-498.
    • (2006) Wave Motion , vol.43 , pp. 474-498
    • Parnell, W.1    Abrahams, I.2
  • 31
    • 0031074461 scopus 로고    scopus 로고
    • An approximate homogenization scheme for nonperiodic materials
    • Shkoller S. An approximate homogenization scheme for nonperiodic materials. Comp. Math. Appl. 1997, 33(4):15-34.
    • (1997) Comp. Math. Appl. , vol.33 , Issue.4 , pp. 15-34
    • Shkoller, S.1
  • 32
    • 0005521949 scopus 로고
    • Thèse d'Etat. Université Pierre et Marie Curie, Paris
    • Suquet P. Plasticité et homogénéisation 1982, Thèse d'Etat. Université Pierre et Marie Curie, Paris
    • (1982) Plasticité et homogénéisation
    • Suquet, P.1
  • 33
    • 0038497470 scopus 로고    scopus 로고
    • Global anisotropic phase velocity maps for fundamental mode surface waves between 40 and 150 s
    • Trampert J, Woodhouse JH. Global anisotropic phase velocity maps for fundamental mode surface waves between 40 and 150 s. Geophys. J. Int. 2002, 154:154-165.
    • (2002) Geophys. J. Int. , vol.154 , pp. 154-165
    • Trampert, J.1    Woodhouse, J.H.2


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