3D Heterogeneous Staggered-grid Finite-difference Modeling of Seismic Motion with Volume Harmonic and Arithmetic Averaging of Elastic Moduli and Densities

By P. Moczo, J. Kristek, Václav Vavrycuk, R. Archuleta, L. Halada. 2002

418 citations recorded by the source corpus.

Subfields: Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/b3ba52dbb9c62b501bcd78ab2be79a2f974a906d

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Citations in the corpus

An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes — II. The three-dimensional isotropic case (2006, background): “Later these schemes were extended to higher orders (Levander 1988), three dimensions (Mora 1989; Moczo et al. 2002) and anisotropic material (Igel, Mora & Riollet 1995; Tessmer 1995), just to mention a few.”
The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion (2007, methodology): “Equations (8.5) - (8.7) correspond to those obtained by Moczo et al. (2002).”
The ShakeOut earthquake scenario: Verification of three simulation sets (2010, background): “Among the methodological advances not tapped here but that have the potential to further improve accuracy, we note the Moczo et al. (2002) averaging scheme for heterogeneous material properties; improvements to the FD free-surface boundary accuracy by Kristek et al. (2002); Graves & Day (2003)…”
Accuracy of heterogeneous staggered-grid finite-difference modeling of Rayleigh waves (2006, methodology): “To obtain stable results, arithmetic averaging must be used for the density % and attenuation parameter τ , and harmonic averaging is required for the shear modulus (Fellinger et al., 1995; Graves, 1996; Falk, 1998; Vossen et al., 2002; Moczo et al., 2002):”
A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain (2008, background): “Such a configurati on is representative of a “topographic site effect” in seismology and has been the sub ject of numerous studies, see [13, 28, 29, 57] and [7, 26, 34, 40, 49] where diffraction of waves by surfa ce heterogeneities is considered.”
Traction image method for irregular free surface boundaries in finite difference seismic wave simulation (2006, methodology): “Following Moczo et al. (2002), we treat the discontinuous interior interfaces by effective parameters: The density is calculated by arithmetic average: ρi j = 1 S ∫ i+1/2 i−1/2 ∫ j+1/2 j−1/2 ρ dx dy.”
Seismic-Wave Propagation in Viscoelastic Media with Material Discontinuities: A 3D Fourth-Order Staggered-Grid Finite-Difference Modeling (2003, methodology): “Based on the simplified approach, Moczo et al. (2002) constructed the explicit heterogeneous 3D fourth-order in space, second-order in time, staggered-grid FD scheme with volume harmonic averaging of the bulk and shear moduli and volume arithmetic averaging of density.”
A Fourth Order Accurate SH-Wave Staggered Grid Finite-difference Algorithm with Variable Grid Size and VGR-Stress Imaging Technique (2008, methodology): “…by Madariaga (1976), is one of the most useful numerical methods to simulate the ground motion characteristics (Virieux, 1984; 1986; Levander, 1988; Luo and Schuster, 1990; Graves, 1996; Pitarka, 1999; Ohminato and Chouet; 1997; Narayan 2001a, 2001b; Moczo et al., 2002; Narayan and Kumar, 2008).”
An improved vacuum formulation for 2D finite-difference modeling of Rayleigh waves including surface topography and internal discontinuities (2012, methodology): “Moczo et al. (2002) chose to use volume harmonic averaging for the shear modulus and volume arithmetic averaging for the density.”
Full Seismic Waveform Modelling and Inversion (2011, methodology): “In the presence of material discontinuities averaging schemes must be applied to ensure accurate numerical solutions (e.g. Moczo et al., 2002; Kristek & Moczo, 2006).”
Multiscale full waveform inversion (2013, neutral): “A large variety of numerical wave propagation methods have been developed in recent years (e.g. Moczo et al. 2002; Dumbser et al. 2007; Peter et al. 2011; Cupillard et al. 2012).”