Open AccessQuadrangle‐grid velocity‐stress finite‐difference method for elastic‐wave‐propagation simulation
Author(s) -
Jianfeng Zhang
Publication year - 1997
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1997.tb00599.x
Subject(s) - grid , finite element method , free surface , finite difference , stability (learning theory) , filter (signal processing) , operator (biology) , stress (linguistics) , surface (topology) , finite difference method , grid method multiplication , mathematics , mathematical analysis , geometry , mechanics , computer science , physics , structural engineering , engineering , biochemistry , chemistry , linguistics , philosophy , repressor , machine learning , transcription factor , computer vision , gene
SUMMARY I present a 2‐D numerical‐modelling algorithm based on a first‐order velocity‐stress hyperbolic system and a non‐rectangular‐grid finite‐difference operator. In this method the velocity and stress are defined at different nodes for a staggered grid. The scheme uses non‐orthogonal grids, thereby surface topography and curved interfaces can be easily modelled in the seismic‐wave‐propagation stimulation. The free‐surface conditions of complex geometry are achieved by using integral equilibrium equations on the surface, and the stability of the free‐surface conditions is improved by introducing local filter modification. The method incorporates desirable qualities of the finite‐element method and the staggered‐grid finite‐difference scheme, which is of high accuracy and low computational cost.