期刊
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING
卷 55, 期 2, 页码 801-815出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TGRS.2016.2615330
关键词
Extrapolation; finite-difference (FD) method; modeling; seismic waves
类别
资金
- 973 Program of China [2013CB228603]
- National Science and Technology Program [2016ZX05010-001]
- National Natural Science Foundation of China [41174119, 41630314]
- Research of Novel Method and Technology of Geophysical Prospecting [CNPC 2016-3302]
The traditional high-order staggered-grid finite-difference (SGFD) method has high-order accuracy in space, but only the second-order accuracy in time, which makes the traditional SGFD method suffer from a large temporal dispersion error during long-distance wave propagation. This paper develops temporal fourth-and sixth-order and spatial arbitrary even-order SGFD schemes to model isotropic elastic wave propagation. The temporal high-order SGFD schemes have smaller temporal dispersion than the traditional temporal second-order scheme, and thus allow larger time steps to attain a similar accuracy. The developed temporal high-order SGFD schemes are applied to simulate a quasi-stress-velocity wave equation (QWE) that is derived in the framework of a k-space approach. A split QWE (SQWE) is further developed, and numerical simulation of SQWE results in separated P (compressional)-wave and S (shear)-wave. Theoretical computational cost analysis verifies that the numerical simulation of QWE using the temporal fourt-hand sixth-order SGFD schemes is more efficient than the numerical simulation of the traditional stress-velocity wave equation using the traditional temporal second-order SGFD scheme in 2-D. In 3-D, the temporal fourth-order SGFD scheme still runs faster than the traditional temporal second-order scheme; however, the temporal sixth-order scheme is more efficient only when a longer stencil length than 12 is adopted. Numerical examples confirm the correctness of the developed elastic wave modeling schemes.
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