A discrete representation of a heterogeneous viscoelastic medium for the finite-difference modelling of seismic wave propagation
被引:14
作者:
Kristek, Jozef
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机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Kristek, Jozef
[1
,2
]
Moczo, Peter
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机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Moczo, Peter
[1
,2
]
Chaljub, Emmanuel
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h-index: 0
机构:
Univ Grenoble Alpes, ISTerre, F-38041 Grenoble, France
CNRS, ISTerre, F-38041 Grenoble, FranceComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Chaljub, Emmanuel
[3
,4
]
Kristekova, Miriam
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机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Kristekova, Miriam
[1
,2
]
机构:
[1] Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
[2] Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, Slovakia
[3] Univ Grenoble Alpes, ISTerre, F-38041 Grenoble, France
The accuracy and efficiency of numerical simulations of seismic wave propagation and earthquake ground motion in realistic models strongly depend on discrete grid representation of the material heterogeneity and attenuation. We present a generalization of the orthorhombic representation of the elastic medium to the viscoelastic medium to make it possible to account for a realistic attenuation in a heterogeneous viscoelastic medium with material interfaces. An interface is represented by an averaged orthorhombic medium with rheology of the Generalized Maxwell body (GMB-EK, equivalent to the Generalized Zener body). The representation is important for the possibility of applying one explicit finite-difference scheme to all interior grid points (points not lying on a grid border) no matter what their positions are with respect to the material interface. This is one of the key factors of the computational efficiency of the finite-difference modelling. Smooth or discontinuous heterogeneity of the medium is accounted for only by values of the effective (i.e. representing reasonably averaged medium) grid moduli and densities. Accuracy of modelling thus very much depends on how the medium heterogeneity is represented/averaged. We numerically demonstrate accuracy of the developed orthorhombic representation. The orthorhombic representation neither changes the structure of calculating stress-tensor components nor increases the number of arithmetic operations compared to a smooth weakly heterogeneous viscoelastic medium. It is applicable to the velocity-stress, displacement-stress and displacement FD schemes on staggered, partly staggered, Lebedev and collocated grids. We also present an optimal procedure for a joint determination of the relaxation frequencies and anelastic coefficients.
机构:
Univ Calif Santa Barbara, Inst Crustal Studies, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Inst Crustal Studies, Santa Barbara, CA 93106 USA
Liu, Pengcheng
;
Archuleta, Ralph J.
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机构:Univ Calif Santa Barbara, Inst Crustal Studies, Santa Barbara, CA 93106 USA
机构:
CEA Cadarache, French Alternat Energies & Atom Energy Commiss, DPIE GAS SA2S, F-13108 St Paul Les Durance, FranceUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Hollender, F.
;
Kristek, J.
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机构:
Comenius Univ, Slovak Acad Sci, Fac Math Phys & Informat, Inst Geophys, Bratislava 84248 4, SlovakiaUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Kristek, J.
;
Moczo, P.
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机构:
Comenius Univ, Slovak Acad Sci, Fac Math Phys & Informat, Inst Geophys, Bratislava 84248 4, SlovakiaUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Moczo, P.
;
Klin, P.
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机构:
Ctr Ric Sismol, Ist Nazl OGS, I-34010 Sgonico, Trieste, ItalyUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Klin, P.
;
Priolo, E.
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h-index: 0
机构:
Ctr Ric Sismol, Ist Nazl OGS, I-34010 Sgonico, Trieste, ItalyUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Priolo, E.
;
Iwaki, A.
论文数: 0引用数: 0
h-index: 0
机构:
Kyoto Univ, Disaster Prevent Res Inst, Uji, Kyoto 6110011, JapanUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Iwaki, A.
;
Iwata, T.
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机构:
Kyoto Univ, Disaster Prevent Res Inst, Uji, Kyoto 6110011, JapanUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
机构:
CEA Cadarache, French Alternat Energies & Atom Energy Commiss, DPIE GAS SA2S, F-13108 St Paul Les Durance, FranceUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Moczo, Peter
;
Gregor, David
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机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Gregor, David
;
Kristek, Jozef
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h-index: 0
机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Kristek, Jozef
;
de la Puente, Josep
论文数: 0引用数: 0
h-index: 0
机构:
Barcelona Supercomp Ctr, Nexus 2 Planta 3C,Jordi Girona 29, Barcelona 08034, SpainComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
机构:
Univ Calif Santa Barbara, Inst Crustal Studies, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Inst Crustal Studies, Santa Barbara, CA 93106 USA
Liu, Pengcheng
;
Archuleta, Ralph J.
论文数: 0引用数: 0
h-index: 0
机构:Univ Calif Santa Barbara, Inst Crustal Studies, Santa Barbara, CA 93106 USA
机构:
CEA Cadarache, French Alternat Energies & Atom Energy Commiss, DPIE GAS SA2S, F-13108 St Paul Les Durance, FranceUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Hollender, F.
;
Kristek, J.
论文数: 0引用数: 0
h-index: 0
机构:
Comenius Univ, Slovak Acad Sci, Fac Math Phys & Informat, Inst Geophys, Bratislava 84248 4, SlovakiaUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Kristek, J.
;
Moczo, P.
论文数: 0引用数: 0
h-index: 0
机构:
Comenius Univ, Slovak Acad Sci, Fac Math Phys & Informat, Inst Geophys, Bratislava 84248 4, SlovakiaUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Moczo, P.
;
Klin, P.
论文数: 0引用数: 0
h-index: 0
机构:
Ctr Ric Sismol, Ist Nazl OGS, I-34010 Sgonico, Trieste, ItalyUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Klin, P.
;
Priolo, E.
论文数: 0引用数: 0
h-index: 0
机构:
Ctr Ric Sismol, Ist Nazl OGS, I-34010 Sgonico, Trieste, ItalyUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Priolo, E.
;
Iwaki, A.
论文数: 0引用数: 0
h-index: 0
机构:
Kyoto Univ, Disaster Prevent Res Inst, Uji, Kyoto 6110011, JapanUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
Iwaki, A.
;
Iwata, T.
论文数: 0引用数: 0
h-index: 0
机构:
Kyoto Univ, Disaster Prevent Res Inst, Uji, Kyoto 6110011, JapanUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
机构:
CEA Cadarache, French Alternat Energies & Atom Energy Commiss, DPIE GAS SA2S, F-13108 St Paul Les Durance, FranceUniv Grenoble Alpes, IFSTTAR, IRD, ISTerre,CNRS, F-38041 Grenoble 09, France
机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Moczo, Peter
;
Gregor, David
论文数: 0引用数: 0
h-index: 0
机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Gregor, David
;
Kristek, Jozef
论文数: 0引用数: 0
h-index: 0
机构:
Comenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Slovak Acad Sci, Inst Earth Sci, Dubravska Cesta 9, Bratislava 84528, SlovakiaComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia
Kristek, Jozef
;
de la Puente, Josep
论文数: 0引用数: 0
h-index: 0
机构:
Barcelona Supercomp Ctr, Nexus 2 Planta 3C,Jordi Girona 29, Barcelona 08034, SpainComenius Univ, Fac Math Phys & Informat, Mlynska Dolina F1, Bratislava 84248, Slovakia