黏声波高阶傅里叶有限差分法参数优化成像

doi:10.11720/wtyht.2022.1419

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Abstract

The numerical simulation of visco-acoustic media using the high-order Fourier finite-difference method can reflect the seismic response of high-dip strata with geo-absorption effects more accurately.It can adapt to any lateral speed changes and suppress the dispersion and background noise at large dip angles caused by the finite-difference method.The migration precision of the high-dip strata depends on the determination of the constant coefficient of the difference operator and the calculation of the order.In this study,the gradient descent method was used to optimize the high-order finite-difference correction item in the Fourier finite-difference operator.According to the optimization results of the relative errors and constraint coefficients,the approximation effects of higher-order equations were achieved without increasing the order of the equation and then were expanded to viscoelastic media.Using the designed model,it can be concluded that the proposed method is applicable to the forward simulation of the strong spatial variable speed media with absorption and attenuation effects and has high calculation accuracy and efficiency.Accurate seismic numerical simulation of complex geological structures further confirmed the effectiveness of this method.

Key words： Fourier finite difference method visco-acoustic media seismic numerical simulation migration attenuation

Received: 11 August 2021 Published: 03 January 2023

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	Articles by authors
	Shi-Peng XIAO
	Gao-Jun XIONG
	Meng-Yu YUAN
	Ming-Qiu MAO
	Sheng-Yi WANG
	Zeng-Tao WEI

Cite this article:

Shi-Peng XIAO,Gao-Jun XIONG,Meng-Yu YUAN, et al. Parameter optimization and imaging of visco-acoustic media using high-order Fourier finite-difference method[J]. Geophysical and Geochemical Exploration, 2022, 46(5): 1207-1213.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2022.1419 OR https://www.wutanyuhuatan.com/EN/Y2022/V46/I5/1207

Kelvin model

Coefficient optimization

Relative error changes with propagation angle
(p=c/v=0.5)

Point diffraction model
a—point diffraction model;b—forward results of fourth-order optimized;c—phase shift method forward;d—comparison of different Q values

Layered model
a—velocity model of viscoclastic media;b—parameter optimization forward results;c—migration results;d—migration results of fourthorder optimized

Marmousi model imaging by different mothods
a—Marmousi velocity model;b—second-order FFD forward(Q=∞);c—second-order optimized FFD forward(Q=∞);d—fourth-order optimized FFD forward(Q=∞);e—fourth-order optimized FFD forward(changing Q value)

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