A staggered-grid high-order finite-difference modeling for elastic wave field in arbitrary tilt anisotropic media

• Published in: Acta seismologica sinica Vol. 18; no. 4; pp. 471 - 482
• Main Author: 裴正林 王尚旭
• Format: Journal Article
• Language: English; Chinese
• Published: Beijing Springer Nature B.V 01.07.2005; University of Petroleum, Key Lab of Geophysical Exploration of CNPC, Beijing 100083, China
• Subjects: Absorption; anisotropic; Anisotropic media; Boundary conditions; Camber; elastic; Elastic waves; high; Mathematical analysis; Mathematical models; media; staggered-grid; Studies; Tilt; Two dimensional; Velocity; wave; elastic wave; staggered-grid; anisotropic media; high-order finite-difference; PML boundary condition
• ISSN: 1674-4519; 1000-9116; 1867-8777; 1993-1344
• DOI: 10.1007/s11589-005-0025-9

The paper presents a staggered-grid any even-order accurate finite-difference scheme for two-dimensional (2D), three-component (3C), first-order stress-velocity elastic wave equation and its stability condition in the arbitrary tilt anisotropic media; and derives a perfectly matched absorbing layer (PML) boundary condition and its staggered-grid any even-order accurate difference scheme in the 2D arbitrary tilt anisotropic media. The results of numerical modeling indicate that the modeling precision is high, the calculation efficiency is satisfactory and the absorbing boundary condition is better. The wave-front shapes of elastic waves are complex in the anisotropic media, and the velocity of qP wave is not always faster than that of qS wave. The wave-front triplication of qS wave and its events in both reflected domain and propagated domain, which are not commonly hyperbola, is a common phenomenon. When the symmetry axis is tilted in the TI media, the phenomenon of S-wave splitting is clearly observed in the snaps of three components and synthetic seismograms, and the events of all kinds of waves are asymmetric.