Elastic wave Gaussian beam migration method based on threshold control
MENG Fankun1,2, LI Zhenchun1,2, FU Jiyou3, ZHANG Kai1,2, XU Xuecheng1, LIU Qiang1
1. China University of Petroleum (East China), Qingdao, Shandong 266580, China; 2. Key Laboratory of Deep Oil and Gas, Qingdao, Shandong 266580, China; 3. PetroChina Changqing Oilfield Company, Qingyang, Gansu 745000, China
Abstract：The Gaussian beam migration method has high computational efficiency and imaging accuracy, and it is widely used due to its flexibility and efficiency. However, in the face of a low signal-to-noise ratio of seismic data, the conventional elastic wave Gaussian beam method is susceptible to noise interference, resulting in unsatisfactory imaging results. To address the above problems, this paper proposes an optimized method of elastic wave Gaussian beam migration based on threshold control. The method obtains the threshold-controlled slant stack formula by setting the threshold function and applying it to the Tau-p transform and then obtains the threshold-controlled elastic wave Gaussian beam migration imaging formula based on the intercorrelation imaging condition. The results of model trial calculations show that the adoption of a threshold-controlled elastic wave Gaussian beam migration imaging method can effectively suppress imaging noise, improve the imaging signal-to-noise ratio, and enhance the quality of migration imaging.
裴正林, 何光明, 谢芳.复杂地表复杂构造模型的弹性波方程正演模拟[J].石油地球物理勘探, 2010, 45(6):807-818.PEI Zhenglin, HE Guangming, XIE Fang.Elastic wave equation forward modeling for complex surface and complex structure model[J].Oil Geophysical Prospecting, 2010, 45(6):807-818.
[2]
陈建.弹性波正演模拟及成像方法研究[D].四川成都:成都理工大学, 2015.CHEN Jian.Study on Seismic Wave Field Simulation Finite Difference Method and Migration[D].Chengdu University of Technology, Chengdu, Sichuan, 2015.
[3]
秦臻, 任培罡, 姚姚.弹性波正演模拟中PML吸收边界条件的改进[J].地球科学(中国地质大学学报), 2009, 34(4):658-664.QIN Zhen, REN Peigang, YAO Yao, et al.Improvement of PML absorbing boundary conditions in elastic wave forward modeling[J].Earth Science(Journal of China University of Geosciences), 2009, 34(4):658-664.
[4]
张盼, 邢贞贞, 胡勇.基于弹性波全波形反演的主被动源多分量混采地震数据速度建模[J].地球物理学报, 2019, 62(10):3974-3987.ZHANG Pan, XING ZhenZhen, HU Yong.Velocity construction using active and passive multi-component seismic data based on elastic full waveform inversion[J].Chinese Journal of Geophysics, 2019, 62(10):3974-3987.
李振春, 雍鹏, 黄建平.基于矢量波场分离弹性波逆时偏移成像[J].中国石油大学学报(自然科学版), 2016, 40(1):42-48.LI Zhenchun, YONG Peng, HUANG Jianping, et al.Elastic wave reverse time migration based on vector wavefield separation[J].Journal of China University of Petroleum (Edition of Natural Science), 2016, 40(1):42-48.
[7]
杜向东, 韩文明, 曹向阳.各向异性介质弹性波高斯束偏移方法[J].石油地球物理勘探, 2020, 55(4):804-812, 830.DU Xiangdong, HAN Wenming, CAO Xiangyang, et al. Elastic Gaussian beam migration in anisotropic media[J].Oil Geophysical Prospecting, 2020, 55(4):804-812, 830.
[8]
SUN R, MCMECHAN G A.Pre-stack reverse-time migration for elastic waves with application to synthetic offset vertical seismic profiles[J].Proceedings of the IEEE, 1986, 74(3):457-465.
[9]
YAN J, PAVA P.Isotropic angle-domain elastic reverse time migration[J].Geophysics, 2008, 73(6):S229-S239.
[10]
KUO J T, DAI T F.Kirchhoff elastic wave migration for the case of noncoincident source and receiver[J].Geophysics, 1984, 49(8):1223-1238.
[11]
PAO Y H, VARATHARAJULU V.Huygens' principle, radiation conditions, and integral formulas for the scattering of elastic waves[J].The Journal of the Acoustical Society of America, 1976, 59(6):1361-1371.
[12]
ČERVENÝ V, POPOV M M, PŠENČÍK I, Computation of wave fields in inhomogeneous media-Gaus sian beam approach[J].Geophysical Journal International, 1982, 70(1):109-128.
[13]
HILL N R.Gaussian beam migration[J].Geophysics, 1990, 55(11):1416-1428.
[14]
HILL N R.Prestack Gaussian-beam depth migration[J]. Geophysics, 2001, 66(4):1240-1250.
[15]
GRAY S H.Gaussian beam migration of common-shot records[J].Geophysics, 2005, 70(4):S71-S77.
[16]
NOWACK R L, SEN M K, STOFFA P L.Gaussian beam migration for sparse common-shot and common-receiver data[C].SEG Technical Program Expanded Abstracts, 2003, 22:1114-1117.
[17]
VINJE V, ROBERTS G A, TAYLOR R.Controlled beam migration:a versatile structural imaging tool[J].First Break, 2008, 26(9):109-113.
[18]
吴建文.多种策略控制的地震波束偏移方法研究[D].山东青岛:中国石油大学(华东), 2017.WU Jianwen.The Research of Seismic Controlled Beam Migration Method by Multi-Strategy[D].China University of Petroleum (East China), Qingdao, Shandong, 2011.
[19]
杨晶, 黄建平.基于汉宁窗函数滤波时间域高斯束成像方法[J].地球物理学进展, 2018, 33(3):1161-1166.YANG Jing, HUANG Jianping.Time domain Gaussian beam migration method based Hanning window filtering[J].Progress in Geophysics, 2018, 33(3):1161-1166.
[20]
KATCHALOV A P, POPOV M M.Application of the Gaussian beam method to elasticity theory[J].Geophysical Journal International, 1985, 81(1):205-214.
[21]
岳玉波.复杂介质高斯束偏移成像方法研究[D].山东青岛:中国石油大学(华东), 2011.YUE Yubo.Study on Gaussian Beam Migration Methods in Complex Medium[D].China University of Petroleum (East China), Qingdao, Shandong, 2011.
[22]
秦宁.弹性波各向异性高斯束逆时偏移[J].石油物探, 2022, 61(2):321-328.QIN Ning.Elastic reverse time migration with Gaussian beams in anisotropic media[J].Geophysical Prospecting for Petroleum, 2022, 61(2):321-328.
[23]
刘强, 李振春, 张凯, 等.VTI介质转换波动态聚焦束偏移成像方法研究[J].地球物理学报, 2021, 64(9):3283-3294.LIU Qiang, LI Zhenchun, ZHANG Kai, et al.Dynamical focused-beam migration of converted waves in VTI media[J].Chinese Journal of Geophysics, 2021, 64(9):3283-3294.
[24]
CLAERBOUT J F.Toward a unified theory of reflector mapping[J].Geophysics, 1971, 36(3):467-481.
[25]
徐学成.黏声介质自适应聚焦束偏移方法研究[D].山东青岛:中国石油大学(华东), 2021.XU Xuecheng.Research on Adaptive Focused Beam Migration Method in Viscous Media[D].China University of Petroleum (East China), Qingdao, Shandong, 2021.
[26]
王旭谦, 杨继东, 黄建平, 等.基于匹配追踪分解和tau-p域拾取的快速高斯束偏移方法[J].地球物理学进展, 2017, 32(2):745-752.WANG Xuqian, YANG Jidong, HUANG Jianping, et al.Fast Gaussian beam migration method based on matching-pursuit decomposition and events-picking in tau-p domain[J].Progress in Geophysics, 2017, 32(2):745-752.
