Elastic wave equation modeling using staggered-grid convolutional differentiators
- Oxford Univ. (United Kingdom)
- Flinders Univ. of South Australia, Adelaide (Australia)
An efficient convolutional differentiator (CD) for a second-order derivative and its application to solve the acoustic wave equation was presented by Zhou and Greenhalgh (1992) and Zhou et al. (1993). In this paper, the authors extend the above work to elastic wave simulation by using the staggered-grid CDs for the first-order derivative. Like the CD for the second-order derivative, the CD for the first-order derivative is obtained from tapering the inverse Fourier transform of the band-limited Fourier spectrum of the derivative operator. The tapered filters are both accurate (like any other spectral method) and short in length (like a finite difference method). Therefore, they have the advantages of both the conventional finite difference (FD) and Fourier transform (FT) methods. The derivation of the staggered-grid CD provides useful insight into the staggered operator. The staggered CDs are used to solve the 2-D elastic wave equation for modeling elastic seismic wave propagation. The attenuation of spurious reflections from model edges is achieved by a hybrid between Higdon`s second-order absorbing boundary and Cerjan`s damping method.
- OSTI ID:
- 89747
- Report Number(s):
- CONF-941015--
- Country of Publication:
- United States
- Language:
- English
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