Parameter optimization and imaging of visco-acoustic media using high-order Fourier finite-difference method

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

doi:10.11720/wtyht.2022.1419

2022 Vol. 46, No. 5

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Article navigation > Geophysical and Geochemical Exploration > 2022 > 46(5): 1207-1213

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XIAO Shi-Peng, XIONG Gao-Jun, YUAN Meng-Yu, MAO Ming-Qiu, WANG Sheng-Yi, WEI Zeng-Tao. 2022. Parameter optimization and imaging of visco-acoustic media using high-order Fourier finite-difference method. Geophysical and Geochemical Exploration, 46(5): 1207-1213. doi: 10.11720/wtyht.2022.1419

Citation:

XIAO Shi-Peng, XIONG Gao-Jun, YUAN Meng-Yu, MAO Ming-Qiu, WANG Sheng-Yi, WEI Zeng-Tao. 2022. Parameter optimization and imaging of visco-acoustic media using high-order Fourier finite-difference method. Geophysical and Geochemical Exploration, 46(5): 1207-1213. doi: 10.11720/wtyht.2022.1419

Parameter optimization and imaging of visco-acoustic media using high-order Fourier finite-difference method

College of Geophysics, Chengdu University of Technology, Chengdu 610000,China

Received Date: 11 August 2021

Revised Date: 20 October 2022

Publish Date: 03 January 2023

Abstract

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.
- Fourier finite difference method /
- visco-acoustic media /
- seismic numerical simulation /
- migration /
- attenuation

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References

[1]	俞寿朋. 高分辨率地震勘探[M]. 北京: 石油工业出版社,1993. Google Scholar
[2]	Yu S P. High resolution seismic exploration[M]. Beijing: Petroleum Industry Press,1993. Google Scholar
[3]	李庆忠. 走向精确勘探的道路[M]. 北京: 石油工业出版社,1994. Google Scholar
[4]	Li Q Z. The road to accurate exploration[M]. Beijing: Petroleum Industry Press,1994. Google Scholar
[5]	陈树民, 刘礼农, 张剑峰, 等. 一种补偿介质吸收叠前时间偏移技术[J]. 石油物探, 2018, 57(4):576-583. Google Scholar
[6]	Chen S M, Liu L N, Zhang J F, et al. A deabsorption prestack time migration technology[J]. Petroleum Geophysical Prospecting, 2018, 57(4):576-583. Google Scholar
[7]	徐凯, 孙赞东. 基于粘声衰减补偿的最小二乘逆时偏移[J]. 石油物探, 2018, 57(3):419-427. Google Scholar
[8]	Xu K, Sun Z D. Least-squares reverse time migration based on visco-acoustic attenuation compensation[J]. Geophysical Prospecting for Petroleum, 2018, 57(3):419-427. Google Scholar
[9]	冀国强, 石颖. 正则化形式的稳定粘声逆时偏移成像方法[J]. 石油物探, 2020, 59(3):374-381. Google Scholar
[10]	Ji G Q, Shi Y. Stable and regularized visco-acoustic reverse time migration[J]. Geophysical Prospecting for Petroleum, 2020, 59(3):374-381. Google Scholar
[11]	周斯琛. 频率域粘声介质全波形反演方法研究[D]. 青岛: 中国石油大学(华东), 2017. Google Scholar
[12]	Zhou S C. The research on frequency domain visco-acoustic full waveform insersion[D]. Qingdao: China University of Petroleum (East China), 2017. Google Scholar
[13]	廖建平, 王华忠, 刘和秀, 等. 精确的频率空间域黏声波有限差分数值模拟[J]. 物探与化探, 2011, 35(4):541-545. Google Scholar
[14]	Liao J P, Wang H Z, Liu H X, et al. Accurate visco-acoustic wave finite difference numerical simulation in frequency space domain[J]. Geophysical and Geochemical Exploration, 2011, 35(4):541-545. Google Scholar
[15]	Stolt R H. Migration by fourier transform[J]. Geophyscis, 2012, 43(1): 23-48. Google Scholar
[16]	牛滨华, 孙春岩. 半无限空间各向同性黏弹性介质与地震波传播[M]. 北京: 地质出版社, 2007. Google Scholar
[17]	Niu B H, Sun C Y. Half-space homogeneous isotropic viscoelastic medium and seismic wave propagation[M]. Beijing: Geological Publishing House, 2007. Google Scholar
[18]	李金丽, 李振春, 管路平, 等. 地震波衰减及补偿方法[J]. 物探与化探, 2015, 39(3):456-465. Google Scholar
[19]	Li J L, Li Z C, Guan L P, et al. The method of seismic attenuation and energy compensation[J]. Geophysical and Geochemical Exploration, 2015, 39(3):456-465. Google Scholar
[20]	邓文志, 李振春, 王延光, 等. 基于稳定逆时传播算子的黏声介质最小二乘逆时偏移[J]. 物探与化探, 2015, 39(4):791-796. Google Scholar
[21]	Deng W Z, Li Z C, Wang Y G, et al. The least-squares reverse time migration for visco-acoustic medium based on a stable reverse-time propagator[J]. Geophysical and Geochemical Exploration, 2015, 39(4):791-796. Google Scholar
[22]	李金丽, 曲英铭, 刘建勋, 等. 三维黏声最小二乘逆时偏移方法研究[J]. 物探与化探, 2018, 42(5):1013-1025. Google Scholar
[23]	Li J L, Qu Y M, Liu J X, et al. A model study of three-dimensional viscoacoustic least-squares reverse time migration[J]. Geophysical and Geochemical Exploration, 2018, 42(5):1013-1025. Google Scholar
[24]	赵连锋. 井间地震波速与衰减联合层析成像方法研究[D]. 成都: 成都理工大学, 2002. Google Scholar
[25]	Zhao L F. Study on crosswell seismic tomography combing velocity and attenuation[D]. Chengdu: Chengdu University of Technology, 2002. Google Scholar
[26]	贺振华, 赵宪生, 陈琴芳. 地震记录的快速f-k正演模拟[J]. 石油地球物理勘探, 1992, 27(3):336-342. Google Scholar
[27]	He Z H, Zhao X S, Chen Q F. Fast f-k forward modeling of seismic data[J]. Oil Geophysical Prospecting, 1992, 27(3):336-342. Google Scholar
[28]	张金海, 王卫民, 赵连锋, 等. 黏声波介质傅里叶有限差分法正演模拟[J]. 石油地球物理勘探, 2008, 43(2):174-178. Google Scholar
[29]	Zhang J H, Wang W M, Zhao L F, et al. Fourier finite-different forward modeling in viscoacoustic media[J]. Oil Geophysical Prospecting, 2008, 43(2):174-178. Google Scholar
[30]	Stoffa P L, Fokkema J T, de Luna Freire R M, et al. Split-step Fourier migration[J]. Geophysics, 1990, 55(4):410-421. Google Scholar
[31]	Ristow D, Rühl T. Fourier finite-difference migration[J]. Geophysics, 1994, 59(12):1882-1893. Google Scholar
[32]	邓巧琳. 地震波在反射与透射影响下的能量衰减分析[D]. 长沙: 湖南大学, 2013. Google Scholar
[33]	Deng Q L. Derivation of reflection and transmission coefficient of seismic waves in viscoelastic media[D]. Changsha: Hunan University, 2013. Google Scholar
[34]	Jo C H, Shin C, Suh J H. An optimal 9-point finite-difference frequency-space 2-D scalar wave extrapolator[J]. Geophysics, 1996, 61(2):529-537. Google Scholar
[35]	马在田. 高阶有限差分偏移[J]. 石油地球物理勘探, 1982, 17(1):6-15. Google Scholar
[36]	Ma Z T. The finite-difference migration of higher-order equation[J]. Oil Geophysical Prospecting, 1982, 17(1):6-15. Google Scholar
[37]	王华忠, 马在田, 曹景忠. 优化系数傍轴近似方程三维一步法偏移[J]. 石油地球物理勘探, 1998, 33(2):170-184. Google Scholar
[38]	Wang H Z, Ma Z T, Cao J Z. Three dimensional one-pass migration using paraxial approximate equation with optimized coefficients[J]. Oil Geophysical Prospecting, 1998, 33(2):170-184. Google Scholar
[39]	Liu L N, Zhang J F. 3D wavefield extrapolation with optimum split-step Fourier method[J]. Society of Exploration Geophysicists, 2006, 71(3):95-108. Google Scholar
[40]	Lee M W, Suh S Y. Optimization of one-way wave equations[J]. Geophysics, 1985, 50(10):1634-1637. Google Scholar
[41]	Kadalbajoo M K, Awasthi A. Crank-Nicolson finite difference method based on a midpoint upwind scheme on a non-uniform mesh for time-dependent singularly perturbed convection-diffusion equations[J]. International Journal of Computer Mathematics, 2008, 85(5):771-790. Google Scholar
[42]	Claerbout J F. Imaging the earth’s interior[J]. Geophysical Journal International, 1986, 86(1):217. Google Scholar
[43]	Li Z M, Liu C L. An ideal depth extrapolation of two-dimensional seismic wave field[J]. Oil Geophysical Prospecting, 1990, 25(5):517-528. Google Scholar