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Abstract

Summary

Some efficient modeling schemes have been proposed to handle the spatial variable-order fractional Laplacians in the fractional Laplacian viscoacoustic wave equation. The simplest scheme is to change the original spatial variable-order fractional Laplacians into a linear combination of several constant fractional-order Laplacians. The weights in the combination are explicitly expressed, which is helpful for subsequent full waveform inversion (FWI) or reverse time migration (RTM). In this paper, we generalize the constant fractional-order scheme to the spatially variable-order fractional viscoelastic wave equation, and develop an almost equivalent constant fractional-order viscoelastic wave equation. Several numerical examples show that the proposed constant fractional-order viscoelastic wave equation has a high accuracy to fit the constant-Q wave equation, and can efficiently describe elastic wave propagation in heterogeneous Q media.

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/content/papers/10.3997/2214-4609.201701109
2017-06-12
2024-04-20

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References

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http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201701109
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Modelling Viscoelastic Waves Using Constant Fractional-order Spatial Derivatives
Conference Proceedings 2017, 1 (2017); https://doi.org/10.3997/2214-4609.201701109
/content/papers/10.3997/2214-4609.201701109
/content/papers/10.3997/2214-4609.201701109
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