메뉴 건너뛰기




Volumn 182, Issue 2, 2010, Pages 903-922

2-D non-periodic homogenization to upscale elastic media for P-SV waves

Author keywords

Computational seismology; Numerical solutions; Seismic anisotropy; Theoretical Seismology; Wave propagation; Wave scattering and diffraction

Indexed keywords

COMPUTATIONAL SEISMOLOGY; NUMERICAL SOLUTION; SEISMIC ANISOTROPY; THEORETICAL SEISMOLOGY; WAVE SCATTERING AND DIFFRACTION;

EID: 77955151105     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04636.x     Document Type: Article
Times cited : (118)

References (39)
  • 1
    • 0032380386 scopus 로고    scopus 로고
    • Boundary layers in the homogenization of a spectral problem in fluid-solid structures
    • Allaire G, Conca C. Boundary layers in the homogenization of a spectral problem in fluid-solid structures. SIAM J. Math. Anal. 1998, 29(2):343-379.
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.2 , pp. 343-379
    • Allaire, G.1    Conca, C.2
  • 2
    • 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
  • 3
    • 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
  • 4
    • 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
  • 5
    • 8744308236 scopus 로고    scopus 로고
    • Decomposition of the elastic tensor and geophysical applications
    • Browaeys JT, Chevrot S. Decomposition of the elastic tensor and geophysical applications. Geophys. J. Int. 2004, 159:667-678.
    • (2004) Geophys. J. Int. , vol.159 , pp. 667-678
    • Browaeys, J.T.1    Chevrot, S.2
  • 6
    • 77955142570 scopus 로고    scopus 로고
    • Procédé de détermination d'un modele élastique effectif. Brevet FR 09 57637, filed on 2009 October 29
    • Capdeville Y. 2009, Procédé de détermination d'un modele élastique effectif. Brevet FR 09 57637, filed on 2009 October 29
    • (2009)
    • Capdeville, Y.1
  • 7
    • 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
  • 8
    • 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
  • 9
    • 77953111856 scopus 로고    scopus 로고
    • 1-D non periodic homogenization for the wave equation
    • doi:10.1111/j.1365-246X.2010.04529.x
    • Capdeville Y, Guillot L, Marigo JJ. 1-D non periodic homogenization for the wave equation. Geophys. J. Int. 2010, 181:897-910. 10.1111/j.1365-246X.2010.04529.x, doi
    • (2010) Geophys. J. Int. , vol.181 , pp. 897-910
    • Capdeville, Y.1    Guillot, L.2    Marigo, J.J.3
  • 11
    • 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
  • 12
    • 28944437305 scopus 로고    scopus 로고
    • Interaction between surface waves and absorbing boundaries for wave propagation in geological basins: 2D numerical simulations
    • Festa G, Delavaud E, Vilotte J-P. Interaction between surface waves and absorbing boundaries for wave propagation in geological basins: 2D numerical simulations. Geophys. Res. Lett. 2005, 32:L20306.
    • (2005) Geophys. Res. Lett. , vol.32
    • Festa, G.1    Delavaud, E.2    Vilotte, J.-P.3
  • 13
    • 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. Meth. Appl. Mech. Engng 2004, 193:4837-4856.
    • (2004) Comp. Meth. Appl. Mech. Engng , vol.193 , pp. 4837-4856
    • Fish, J.1    Chen, W.2
  • 14
    • 67650149648 scopus 로고    scopus 로고
    • Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities
    • Geuzaine C, Remacle J-F. Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int. J. Num. Methods Engrg. 2009, 79(11):1309-1331.
    • (2009) Int. J. Num. Methods Engrg. , vol.79 , Issue.11 , pp. 1309-1331
    • Geuzaine, C.1    Remacle, J.-F.2
  • 15
    • 0034468088 scopus 로고    scopus 로고
    • An approach to upscaling for seismic waves in statistically isotropic heterogeneous elastic media
    • Gold N, Shapiro SA, Bojinski S, Müller TM. An approach to upscaling for seismic waves in statistically isotropic heterogeneous elastic media. Geophysics 2000, 65(2):1837-1850.
    • (2000) Geophysics , vol.65 , Issue.2 , pp. 1837-1850
    • Gold, N.1    Shapiro, S.A.2    Bojinski, S.3    Müller, T.M.4
  • 16
    • 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
  • 17
    • 77955729378 scopus 로고    scopus 로고
    • 2-D non periodic homogenization for the SH wave equation
    • submitted
    • Guillot L, Capdeville Y, Marigo JJ. 2-D non periodic homogenization for the SH wave equation. Geophys. J. Int. 2010, submitted
    • (2010) Geophys. J. Int.
    • Guillot, L.1    Capdeville, Y.2    Marigo, J.J.3
  • 18
    • 0007544668 scopus 로고
    • A variational approach to the elastic behavior of multiphase materials
    • Hashin Z, Shtrikman S. A variational approach to the elastic behavior of multiphase materials. J. Mech. Phys. Solids 1963, 11:127-140.
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 19
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composit materials
    • Hill R. A self-consistent mechanics of composit materials. J. Mech. Phys. Solids 1965, 13:213-222.
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 213-222
    • Hill, R.1
  • 20
    • 0036075317 scopus 로고    scopus 로고
    • Spectral-element simulations of global seismic wave propagation, part II: 3-D models, oceans, rotation, and gravity
    • Komatitsch D, Tromp J. Spectral-element simulations of global seismic wave propagation, part II: 3-D models, oceans, rotation, and gravity. Geophys. J. Int. 2002, 150:303-318.
    • (2002) Geophys. J. Int. , vol.150 , pp. 303-318
    • Komatitsch, D.1    Tromp, J.2
  • 21
    • 0031815577 scopus 로고    scopus 로고
    • The spectral element method: an effective tool to simulate the seismic response of 2D and 3D geological structures
    • Komatitsch D, Vilotte JP. The spectral element method: an effective tool to simulate the seismic response of 2D 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
  • 22
    • 65649138756 scopus 로고    scopus 로고
    • On homogenization of activated laminates in 1D-space and time
    • Lurie KA. On homogenization of activated laminates in 1D-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
  • 24
    • 85034833369 scopus 로고    scopus 로고
    • Homogenization of Partial Differential Equations
    • Birkhäuser, Boston
    • Marchenko VA, Khruslov EY. Homogenization of Partial Differential Equations. Progress in Mathematical Physics 2005, Volume 46 of, Birkhäuser, Boston
    • (2005) Progress in Mathematical Physics , vol.46
    • Marchenko, V.A.1    Khruslov, E.Y.2
  • 25
    • 33947202515 scopus 로고    scopus 로고
    • The Marmousi2 model, elastic synthetic data, and an analysis of imaging and AVO in a structurally complex environment
    • Master's thesis, University of Houston
    • Martin GS. The Marmousi2 model, elastic synthetic data, and an analysis of imaging and AVO in a structurally complex environment. 2004, Master's thesis, University of Houston
    • (2004)
    • Martin, G.S.1
  • 27
    • 33746124183 scopus 로고    scopus 로고
    • Triangular spectral element simulation of two-dimensional elastic wave propagation using unstructured triangular grids
    • Mercerat ED, Vilotte JP, Sanchez-Sesma FJ. Triangular spectral element simulation of two-dimensional elastic wave propagation using unstructured triangular grids. Geophys. J. Int. 2006, 166:679-698.
    • (2006) Geophys. J. Int. , vol.166 , pp. 679-698
    • Mercerat, E.D.1    Vilotte, J.P.2    Sanchez-Sesma, F.J.3
  • 28
    • 33747491187 scopus 로고    scopus 로고
    • First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
    • Moskow S, Vogelius M. First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof. Proc. R. Soc. Edinburgh Sect. A 1997, 127(6):1263-1299.
    • (1997) Proc. R. Soc. Edinburgh Sect. A , vol.127 , Issue.6 , pp. 1263-1299
    • Moskow, S.1    Vogelius, M.2
  • 29
    • 0037224638 scopus 로고    scopus 로고
    • Homogenization structures and applications I
    • Nguetseng G. Homogenization structures and applications I. Z. Anal. Anw. 2003, 22:73-107.
    • (2003) Z. Anal. Anw. , vol.22 , pp. 73-107
    • Nguetseng, G.1
  • 30
    • 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. 1979, 198l-873. in, Seria Colloquia Mathematica Societatis Janos Bolyai, North Holland
    • (1979)
    • Papanicolaou, G.C.1    Varadhan, S.2
  • 31
    • 3042777494 scopus 로고    scopus 로고
    • Spectral element methods on triangles and quadrilaterals: comparisons and applications
    • Pasquetti R, Rapetti F. Spectral element methods on triangles and quadrilaterals: comparisons and applications. J. Comp. Phys. 2004, 198:349-362.
    • (2004) J. Comp. Phys. , vol.198 , pp. 349-362
    • Pasquetti, R.1    Rapetti, F.2
  • 32
    • 0028123819 scopus 로고
    • Numerical simulation of interface waves by high-order spectral modeling techniques
    • Priolo E, Carcione JM, Seriani G. Numerical simulation of interface waves by high-order spectral modeling techniques. J. Acoust. Soc. Am. 1994, 95(2):681-693.
    • (1994) J. Acoust. Soc. Am. , vol.95 , Issue.2 , pp. 681-693
    • Priolo, E.1    Carcione, J.M.2    Seriani, G.3
  • 35
    • 0030437316 scopus 로고    scopus 로고
    • The effect of random isotropic inhomogeneities on the phase velocity of seismic waves
    • Shapiro SA, Schwarz R, Gold N. The effect of random isotropic inhomogeneities on the phase velocity of seismic waves. Geophys. J. Int. 1996, 123:783-794.
    • (1996) Geophys. J. Int. , vol.123 , pp. 783-794
    • Shapiro, S.A.1    Schwarz, R.2    Gold, N.3
  • 36
    • 0005521949 scopus 로고
    • Plasticité et homogénéisation. Thèse d'Etat
    • Université Pierre et Marie Curie, Paris
    • Suquet P. Plasticité et homogénéisation. Thèse d'Etat. 1982, Université Pierre et Marie Curie, Paris
    • (1982)
    • Suquet, P.1
  • 37
  • 38
    • 0001570477 scopus 로고
    • The Marmousi experience: velocity determination on a synthetic complex data set
    • Versteeg R. The Marmousi experience: velocity determination on a synthetic complex data set. Leading Edge 1994, 13:927-936.
    • (1994) Leading Edge , vol.13 , pp. 927-936
    • Versteeg, R.1
  • 39
    • 0019441738 scopus 로고
    • Variational principles for dynamic problems for inhomogeneous elastic media
    • Willis JR. Variational principles for dynamic problems for inhomogeneous elastic media. Wave Motion 1981, 3:1-11.
    • (1981) Wave Motion , vol.3 , pp. 1-11
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.