التفاصيل البيبلوغرافية
| العنوان: |
Truncated pseudo-differential operator √−▽2 and its applications in viscoacoustic reverse-time migration. |
| المؤلفون: |
Yang, Jidong1 (AUTHOR) jidong.yang@upc.edu.cn, Qin, Shanyuan1 (AUTHOR), Huang, Jianping1 (AUTHOR), Zhu, Hejun2 (AUTHOR), Lumley, David2 (AUTHOR), McMechan, George3 (AUTHOR), Sun, Jiaxing1 (AUTHOR), Zhang, Houzhu4 (AUTHOR) |
| المصدر: |
Geophysical Journal International. Jun2024, Vol. 237 Issue 3, p1794-1807. 14p. |
| مصطلحات موضوعية: |
*WAVE equation, *IMAGING systems in seismology, *PARALLEL programming, *FOURIER transforms, *NUMERICAL analysis, *PSEUDODIFFERENTIAL operators |
| مستخلص: |
The pseudo-differential operator with symbol | k |α has been widely used in seismic modelling and imaging when involving attenuation, anisotropy and one-way wave equation, which is usually calculated using the pseudo-spectral method. For large-scale problems, applying high-dimensional Fourier transforms to solve the wave equation that includes pseudo-differential operators is much more expensive than finite-difference approaches, and it is not suitable for parallel computing with domain decomposition. To mitigate this difficulty, we present a truncated space-domain convolution method to efficiently compute the pseudo-differential operator |$\sqrt{-\nabla ^2}$| , and then apply it to viscoacoustic reverse-time migration. Although |$\sqrt{-\nabla ^2}$| is theoretically non-local in the space domain, we take the limited frequency band of seismic data into account, and constrain the approximated convolution stencil to a finite length. The convolution coefficients are computed by solving a least-squares inverse problem in the wavenumber domain. In addition, we exploit the symmetry of the resulting convolution stencil and develop a fast spatial convolution algorithm. The applications of the proposed method in Q -compensated reverse-time migration demonstrate that it is a good alternative to the pseudo-spectral method for computing the pseudo-differential operator |$\sqrt{-\nabla ^2}$| , with almost the same accuracy but much higher efficiency. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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