Efficient Methods to Simulate Planar Free Surface in the 3D 4th-Order Staggered-Grid Finite-Difference Schemes

By J. Kristek, P. Moczo, R. Archuleta. 2002

142 citations recorded by the source corpus.

Subfields: Geophysics

View Paper: https://www.semanticscholar.org/paper/a32ad66b5ffdc5c8a4ea3f9a1b79510ec86a7a93

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In Geophysics

1. Andreas Fichtner
2. P. Moczo
3. J. Kristek
4. Wei Zhang
5. M. Galis
6. Martin Balazovjech
7. P. Pazak
8. Yang Shen

Citations in the corpus

• The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion (2007, methodology): “(9.17) Kristek et al. (2002) performed numerical comparisons of the W-AFDA technique against the discrete-wavenumber method (Bouchon, 1981; Coutant, 1989).”
• Misfit Criteria for Quantitative Comparison of Seismograms (2006, background): “In other words, they are unable to properly characterize it. Still the question is whether they can really properly quantify it. Kristek et al. (2002) used single-valued (integral) envelope and phase misfits based on the envelope and phase of the analytical signal.”
• An improved vacuum formulation for 2D finite-difference modeling of Rayleigh waves including surface topography and internal discontinuities (2012, methodology): “This is equivalent to the H formulation (Kristek et al., 2002) staggered-grid system in which the vertical particle velocity components are located half a grid position below the free surface.”
• A Fourth Order Accurate SH-Wave Staggered Grid Finite-difference Algorithm with Variable Grid Size and VGR-Stress Imaging Technique (2008, methodology): “Similar numerical experiment was done by Kristek et al. (2002) just to show that stress imaging technique requires at least 10 grid points per-shortest wavelength in order to avoid any significant numerical dispersion of Rayleigh wave.”
• Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling (2010, methodology): “The free-surface boundary condition is implemented using the adjusted finite-difference approximations AFDA technique Kristek et al., 2002 , in which a compact finite-difference operator and biased finite-differ- 0.01 0.01 0.01 0.01 0.01 0.01 0.02 0.02 0.02 0.02 0.02 0.02 0.03 0.03 0.03 0.03 0.03…”
• 3D Heterogeneous Staggered-grid Finite-difference Modeling of Seismic Motion with Volume Harmonic and Arithmetic Averaging of Elastic Moduli and Densities (2002, methodology): “In the numerical tests presented below we use the H-AFDA or W-AFDA techniques described by Kristek et al. (2002).”
• Full Seismic Waveform Modelling and Inversion (2011, background): “Further developments in finite-difference wave propagation focussed, for instance, on the modelling of the free surface (e.g. Graves, 1996; Kristek et al., 2002), the incorporation of general anisotropy (Igel et al., 1995) and the correct implementation of material discontinuities (e.g. Moczo et…”
• The ShakeOut earthquake scenario: Verification of three simulation sets (2010, methodology): “…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) improvement to the low-Q performance of coarse-grain memoryvariable methodology that, while used in the…”