VTI介质改进声学近似qP波交错网格正演模拟

doi:10.13810/j.cnki.issn.1000-7210.2024.01.010

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Abstract The acoustic approximation proposed by Alkhalifah assumed the qSV wave velocity along the symmetry axis of the TI media to 0， and he established the corresponding qP wave equation and realized numerical simulations. However， there are two shortcomings. Firstly， there is a degenerate qSV wave solution in the equation， which is not a pure qP wave equation. Secondly， the equation is not applicable in media with ε< δ （ε and δ are the Thomsen parameter）. Therefore， based on the work of Liang et al.， the idea of improved acoustic approximation methods is introduced into the derivation of the dispersion relation and first-order wave equations for qP wave. The circular frequency in the accurate dispersion relation of the qSV wave is set to 0， and the elliptic decomposition is used to derive the decoupled dispersion relation of pure qP waves in VTI media. The spatial asymptotic approximation of the improved scalar operator is adopted to establish the qP wave first-order velocity and stress wave equations in VTI media with improved acoustic approximation. The staggered grid finite difference algorithm is used to achieve the forward simulation of pure qP wave in VTI media based on improved acoustic approximation. The analysis of dispersion relation and numerical examples show that the qP wave first-order equation with improved acoustic approximation does not include degenerate qSV waves and is a pure qP wave equation， which is in good agreement with the simulation results of the elastic wave equation and has high accuracy. The equation is stable in VTI media with both ε≥ δ and ε< δ and is applicable for complex VTI media.

Key words： improved acoustic approximation qP wave VTI media dispersion relation staggered grid spatial asymptotic approximation

Received: 27 April 2023

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P631

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	Articles by authors
	LIANG Kai
	CHEN Haoran
	SUN Shangrao
	YIN Xingyao

Cite this article:

LIANG Kai,CHEN Haoran,SUN Shangrao等. Staggered-grid forward modeling of qP wave in VTI media with improved acoustic approximation[J]. OGP, 2024, 59(1): 89-97.

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http://www.ogp-cn.com/EN/10.13810/j.cnki.issn.1000-7210.2024.01.010 OR http://www.ogp-cn.com/EN/Y2024/V59/I1/89

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