HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Full Text (PDF) References Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by Aoi, S. Articles by Fujiwara, H. Search for Related Content GeoRef GeoRef Citation

3D finite-difference method using discontinuous grids

National Research Institute for Earth Science and Disaster Prevention 3-1, Tenoudai, Tsukuba-city, Ibaraki 305, Japan

Abstract

We have formulated a 3D finite-difference method (FDM) using discontinuous grids, which is a kind of multigrid method. As long as uniform grids are used, the grid size is determined by the shortest wavelength to be calculated, and this constitutes a significant constraint on the introduction of low-velocity layers. We use staggered grids that consist of, on one hand, grids with fine spacing near the surface where the wave velocity is low, and on the other hand, grids whose spacing is three times coarser in the deeper region. In each region, we calculated the wavefield using a velocity-stress formulation of second-order accuracy and connected these two regions with linear interpolations. The second-order finite-difference (FD) approximation was used for updating. Since we did not use interpolations for updating, the time increments were the same in both regions. The use of discontinuous grids adapted to the velocity structure resulted in a significant reduction of computational requirements, which is model dependent but typically one-fifth to one-tenth, without a marked loss of accuracy.

This article has been cited by other articles:

				T. Ichimura, M. Hori, and H. Kuwamoto Earthquake Motion Simulation with Multiscale Finite-Element Analysis on Hybrid Grid Bulletin of the Seismological Society of America, August 1, 2007; 97(4): 1133 - 1143. [Abstract] [Full Text] [PDF]

				M. Kristekova, J. Kristek, P. Moczo, and S. M. Day Misfit Criteria for Quantitative Comparison of Seismograms Bulletin of the Seismological Society of America, October 1, 2006; 96(5): 1836 - 1850. [Abstract] [Full Text] [PDF]

				L. Zhao, T. H. Jordan, K. B. Olsen, and P. Chen Frechet Kernels for Imaging Regional Earth Structure Based on Three-Dimensional Reference Models Bulletin of the Seismological Society of America, December 1, 2005; 95(6): 2066 - 2080. [Abstract] [Full Text] [PDF]

				An Efficient Finite-Difference Method for Simulating 3D Seismic Response of Localized Basin Structures Bulletin of the Seismological Society of America, October 1, 2004; 94(5): 1690 - 1705.

				T.-S. Kang and C.-E. Baag Finite-Difference Seismic Simulation Combining Discontinuous Grids with Locally Variable Timesteps Bulletin of the Seismological Society of America, February 1, 2004; 94(1): 207 - 219. [Abstract] [Full Text] [PDF]

				Domain Reduction Method for Three-Dimensional Earthquake Modeling in Localized Regions, Part I: Theory Bulletin of the Seismological Society of America, April 1, 2003; 93(2): 817 - 824.

				Visualization of 3D Wave Propagation from the 2000 Tottori-ken Seibu, Japan, Earthquake: Observation and Numerical Simulation Bulletin of the Seismological Society of America, April 1, 2003; 93(2): 870 - 881.

				Weighted-Averaging Finite-Element Method for 2D Elastic Wave Equations in the Frequency Domain Bulletin of the Seismological Society of America, April 1, 2003; 93(2): 904 - 921.

				3D Heterogeneous Staggered-Grid Finite-Difference Modeling of Seismic Motion with Volume Harmonic and Arithmetic Averaging of Elastic Moduli and Densities Bulletin of the Seismological Society of America, December 1, 2002; 92(8): 3042 - 3066.

				Boundary Shape Waveform Inversion for Estimating the Depth of Three-Dimensional Basin Structures Bulletin of the Seismological Society of America, August 1, 2002; 92(6): 2410 - 2418.

				Viscoelastic Wave Simulation in Basins by a Variable-Grid Finite-Difference Method Bulletin of the Seismological Society of America, December 1, 2001; 91(6): 1741 - 1749.

				Discontinuous-Grid Finite-Difference Seismic Modeling Including Surface Topography Bulletin of the Seismological Society of America, December 1, 2001; 91(6): 1750 - 1764.

				3D Fourth-Order Staggered-Grid Finite-Difference Schemes: Stability and Grid Dispersion Bulletin of the Seismological Society of America, June 1, 2000; 90(3): 587 - 603.