Lithologic Reservoirs ›› 2020, Vol. 32 ›› Issue (5): 133-142.doi: 10.12108/yxyqc.20200514

• EXPLORATION TECHNOLOGY • Previous Articles     Next Articles

Preconditioning elastic least-squares reverse time migration

LIU Mengli, XU Xingrong, WANG Xiaowei, HU Shuhua, LIU Jintao   

  1. PetroChina Research Institute of Petroleum Exploration & Development-Northwest, Lanzhou 730020, China
  • Received:2019-12-24 Revised:2020-02-28 Online:2020-10-01 Published:2020-08-08

PDF (PC)

366

Abstract: Compared to P-wave seismic exploration,multi-wave seismic exploration can attain more information of underground medium. Elastic reverse time migration is a more accurate method for imaging. Leastsquares inverse time migration(LSRTM)treats the migration imaging as an inversion problem in the sense of least squares, which is a correction of the migration imaging process and results, and can provide reflectance images with higher resolution for lithologic reservoir estimation,which has become the trend of imaging method. Based on the establishment of a linear first-order velocity-stress elastic wave equation,the application of adjoint state method helped to reconstruct the reverse-time migration algorithm,and by introducing the theory of leastsquares and using the inverse of approximate Hessian matrix to precondition the gradient,preconditioning elastic least-squares reverse time migration(P-ELSRTM)was implemented. The numerical tests on SEG/EAGE 2-D salt dome model show that compared with the conventional elastic least-squares reverse time migration(ELSRTM), P-ELSRTM can image with higher resolution,better amplitude preservation and faster convergence. In addition,P-ELSRTM is more adaptable to seismic data with random noise.

Key words: least-squares migration, elastic reverse time migration, amplitude preservation

CLC Number: 

  • P631.4
[1] TENG Y C, DAI T F. Finite-element prestack reverse-time migration for elastic waves. Geophysical Prospecting for Petroleum, 1988, 5(1):1204-1208.
[2] SUN R, WANG A. Scalar reverse-time depth migration of prestack elastic seismic data. Geophysics, 2001, 66(5):1519.
[3] DUAN Y, SAVA P. Scalar imaging condition for elastic reverse time migration. Geophysics, 2015, 80(4):S127-S136.
[4] 刘红伟, 李博, 刘洪, 等. 地震叠前逆时偏移高阶有限差分算法及GPU实现. 地球物理学报, 2010, 53(7):1725-1733. LIU H W, LI B, LIU H, et al. The algorithm of high order finite difference pre-stack reverse time migration and GPU implementation. Chinese Journal of Geophysics, 2010, 53(7):1725-1733.
[5] 徐兴荣, 王西文, 王宇超, 等.基于波场分离理论的逆时偏移成像条件研究及应用. 地球物理学进展, 2012, 27(5):2084-2090. XU X R, WANG X W, WANG Y C, et al. Study and application of imaging condition for reverse-time migration based on wave-fields separation. Progress in Geophysics, 2012, 27(5):2084-2090.
[6] 陈可洋.逆时成像技术在大庆探区复杂构造成像中的应用. 岩性油气藏, 2017, 29(6):91-100. CHEN K Y. Application of reverse-time migration technology to complex structural imaging in Daqing exploration area. Lithologic Reservoirs, 2017, 29(6):91-100.
[7] 陈可洋. 几种地震观测方式的逆时成像分析. 岩性油气藏, 2013, 25(1):95-101. CHEN K Y. Reverse-time migration analysis of several seismic observation models. Lithologic Reservoirs, 2013, 25(1):95-101.
[8] CHANG W F, MCMECHAN G A. Reverse-time migration of offset vertical seismic profiling data using the excitation-time imaging condition. Geophysics, 1986, 51(1):139-140.
[9] CHANG W F, MCMECHAN G A. Elastic reverse-time migration. Geophysics, 1987, 52(3):243-256.
[10] CHANG W F, MCMECHAN G A. 3-D elastic prestack, reversetime depth migration. Geophysics, 1994, 59(4):597-609.
[11] 董良国, 郭晓玲, 吴晓丰, 等. 起伏地表弹性波传播有限差分法数值模拟. 天然气工业, 2007, 27(10):38-41. DONG L G, GUO X L, WU X F, et al. Finite difference numerical simulation for the elastic wave propagation in rugged topography. Natural Gas Industry, 2007, 27(10):38-41.
[12] 陈可洋. 各向异性弹性介质方向行波波场分离正演数值模拟. 岩性油气藏, 2014, 26(5):91-96. CHEN K Y. Wave field separating numerical simulation of anisotropic elastic medium directional one-way wave. Lithologic Reservoirs, 2014, 26(5):91-96.
[13] 王维红, 张伟, 石颖, 等. 基于波场分离的弹性波逆时偏移. 地球物理学报, 2017, 60(7):2813-2824. WANG W H, ZHANG W, SHI Y, et al. Elastic reverse time migration based on wavefield separation. Chinese Journal of Geophysics, 2017, 60(7):2813-2824.
[14] 张伟, 石颖. 矢量分离纵横波场的弹性波逆时偏移.地球物理学进展, 2017, 32(4):1728-1734. ZHANG W, SHI Y. Elastic reverse time migration based on vector decomposition of P-and S-wavefields. Progress in Geophysics, 2017, 32(4):1728-1734.
[15] 杜启振, 秦童. 横向各向同性介质弹性波多分量叠前逆时偏移. 地球物理学报, 2009, 52(3):801-807. DU Q Z, QIN T. Multicomponent prestack reverse-time migration of elastic waves in transverse isotropic medium. Chinese Journal of Geophysics, 2009, 52(3):801-807.
[16] 张晓语, 杜启振, 张树奎, 等.基于一阶弹性波方程的能量互相关成像条件.地球物理学报, 2019, 62(1):289-297. ZHANG X Y, DU Q Z, ZHANG S K, et al. The energy crosscorrelation imaging based on first-order elastic wave equations. Chinese Journal of Geophysics, 2019, 62(1):289-297.
[17] 张智, 刘有山, 徐涛, 等.弹性波逆时偏移中的稳定激发振幅成像条件. 地球物理学报, 2013, 56(10):3523-3533. ZHANG Z, LIU Y S, XU T, et al. A stable excitation amplitude imaging condition for reverse time migration in elastic wave equation. Chinese Journal of Geophysics, 2013, 56(10):3523-3533.
[18] 王华忠, 王雄文, 王西文. 地震波反演的基本问题分析. 岩性油气藏, 2012, 24(6):1-9.WANG H Z, WANG X W, WANG X W. Analysis of the basic problems of seismic wave inversion. Lithologic Reservoirs, 2012, 24(6):1-9.
[19] 任浩然, 王华忠, 黄光辉. 地震波反演成像方法的理论分析与对比. 岩性油气藏, 2012, 24(5):12-18. REN H R, WANG H Z, HUANG G H. Theoretical analysis and comparison of seismic wave inversion and imaging methods. Lithologic Reservoirs, 2012, 24(5):12-18.
[20] 李庆洋, 黄建平, 李振春. 基于Student's t分布的不依赖子波最小二乘逆时偏移. 地球物理学报, 2017, 60(12):4790-4800. LI Q Y, HUANG J P, LI Z C. Source-independent least-squares reverse time migration using student's t distribution. Chinese Journal of Geophysics, 2017, 60(12):4790-4800.
[21] NEMETH T, WU C, SCHUSTER G T. Least-squares migration of incomplete reflection data. Geophysics, 1999, 64(1):208-221.
[22] LI C, HUANG J P, LI Z C, et al. Regularized least-squares migration of simultaneous-source seismic data with adaptive singular spectrum analysis. Petroleum Science, 2017, 1(14):61-74.
[23] 李振春, 李闯, 黄建平, 等. 基于先验模型约束的最小二乘逆时偏移方法. 石油地球物理勘探, 2016, 51(4):738-744. LI Z C, LI C, HUANG J P, et al. Regularized least-squares reverse time migration with prior model. Oil Geophysical Prospecting, 2016, 51(4):738-744.
[24] 李闯, 黄建平, 李振春, 等. 预条件最小二乘逆时偏移方法. 石油地球物理勘探, 2016, 51(3):513-520. LI C, HUANG J P, LI Z C, et al. Preconditioned least-squares reverse time migration. Oil Geophysical Prospecting, 2016, 51(3):513-520.
[25] 刘梦丽, 黄建平, 李闯, 等. 基于角度滤波成像的最小二乘逆时偏移. 石油地球物理勘探, 2018, 53(3):469-477. LIU M L, HUANG J P, LI C, et al. Least-squares reverse time migration based on the angular filtering imaging condition. Oil Geophysical Prospecting, 2018, 53(3):469-477.
[26] DAI W, BOONYASIRIWAT C, SCHUSTER G T. Multi-source least-squares reverse time migration. Geophysical Prospecting, 2012, 60(4):681-695.
[27] DAI W, SCHUSTER G T. Plane-wave least-squares reversetime migration. Geophysics, 2013, 78(4):S165-S177.
[28] 黄建平, 曹晓莉, 李振春, 等.最小二乘逆时偏移在近地表高精度成像中的应用. 石油地球物理勘探, 2014, 49(1):107-112. HUANG J P, CAO X L, LI Z C, et al. Least square reverse time migration in high resolution imaging of near surface. Oil Geophysical Prospecting, 2014, 49(1):107-112.
[29] 李振春, 郭振波, 田坤. 黏声介质最小平方逆时偏移. 地球物理学报, 2014, 57(1):214-228. LI Z C, GUO Z B, TIAN K. Least-squares reverse time migration in visco-acoustic media. Chinese Journal of Geophysics, 2014, 57(1):214-228.
[30] GU B L, LI Z C, YANG P, et al. Elastic least-squares reverse time migration with hybrid l1/l2 misfit function. Geophysics, 2017, 82(3):S271-S291.
[31] REN Z M, LIU Y, SEN M K. Least-squares reverse time migration in elastic media. Geophysical Journal International, 2017, 208(2):1103-1125.
[32] LI C, GAO J, GAO Z, et al. Periodic plane-wave least-squares reverse time migration for diffractions. Geophysics, 2020, 85(4):S185-S198.
[33] LI C, GAO J, WANG R, et al. Enhancing subsurface scatters using reflection-damped plane-wave least-squares reverse time migration. IEEE Geoence and Remote Sensing Letters, 2020, 17(4):706-710.
[34] YANG J D, ZHU H J. Viscoacoustic least-squares reverse-time migration using a time-domain complex-valued wave equation. Geophysics, 2019, 84(5):1-130.
[35] 郭旭, 黄建平, 李振春, 等. 基于一阶速度-应力方程的VTI介质最小二乘逆时偏移. 地球物理学报, 2019,62(6):2188-2202. GUO X, HUANG J P, LI Z C, et al. Least-squares reverse time migration based on first-order velocity-stress wave equation in VTI media. Chinese Journal of Geophysics(in Chinese), 2019, 62(6):2188-2202.
[1] ZHANG Tianze, WANG Hongjun, ZHANG Liangjie, ZHANG Wenqi, XIE Mingxian, LEI Ming, GUO Qiang, ZHANG Xuerui. Application of ray-path elastic impedance inversion in carbonate gas reservoir prediction of the right bank of Amu Darya River [J]. Lithologic Reservoirs, 2024, 36(6): 56-65.
[2] SONG Zhihua, LI Lei, LEI Dewen, ZHANG Xin, LING Xun. Application of improved U-Net network small faults identification technology to Triassic Baijiantan Formation in Mazhong area，Mahu Sag [J]. Lithologic Reservoirs, 2024, 36(3): 40-49.
[3] SU Qin, ZENG Huahui, XU Xingrong, WANG Deying, MENG Huijie. Key techniques of high-resolution processing of desert seismic data and its application in Agedem area,Niger [J]. Lithologic Reservoirs, 2023, 35(6): 18-28.
[4] FAN Rui, LIU Hui, YANG Peiguang, SUN Xing, MA Hui, HAO Fei, ZHANG Shanshan. Identification of carbonate dissolution valleys filled with mudstones of Cretaceous in block A,Oman Basin [J]. Lithologic Reservoirs, 2023, 35(6): 72-81.
[5] LIU Yaming, WANG Dandan, TIAN Zuoji, ZHANG Zhiwei, WANG Tongkui, WANG Chaofeng, YANG Xiaofa, ZHOU Yubing. Characteristics and prediction methods of igneous rocks in complex carbonate oilfields in Santos Basin,Brazil [J]. Lithologic Reservoirs, 2023, 35(6): 127-137.
[6] WANG Lide, WANG Xiaowei, ZHOU Hui, WU Jie, ZHANG Zhiqiang, WANG Jianle, WANG Deying, FENG Gang. A layered velocity modeling method for elastic wave full waveform inversion based on improved conjugate gradient method [J]. Lithologic Reservoirs, 2023, 35(4): 61-69.
[7] LI Shengjun, GAO Jianhu, ZHANG Fanchang, HE Dongyang, GUI Jinyong. A strong seismic energy reduction method under compressed sensing [J]. Lithologic Reservoirs, 2023, 35(4): 70-78.
[8] XU Xin, YANG Wuyang, ZHANG Kai, WEI Xinjian, ZHANG Xiangyang, LI Haishan. Optimization of 3D first-arrival traveltime tomography inversion [J]. Lithologic Reservoirs, 2023, 35(4): 79-89.
[9] ZHOU Donghong, TAN Huihuang, ZHANG Shengqiang. Seismic description technologies of Neogene composite channel sand bodies in Kenli 6-1 oilfield,Bohai Sea [J]. Lithologic Reservoirs, 2022, 34(4): 13-21.
[10] CHEN Yuan, LIAO Faming, LYU Bo, JIA Wei, SONG Qiuqiang, WU Yan, KANG Ju, XIAN Rangzhi. Discrete fracture characterization and modeling of Paleogene in Dina-2 gas field， Tarim Basin [J]. Lithologic Reservoirs, 2022, 34(3): 104-116.
[11] ZHANG Meng. Least-squares reverse time migration in visco-acoustic medium based on GPU parallel acceleration and its application [J]. Lithologic Reservoirs, 2022, 34(1): 148-153.
[12] CHEN Yongbo, ZHANG Huquan, ZHANG Han, ZENG Huahui, WANG Bin, WANG Hongqiu, XU Duonian, MA Yongping, ZONG Zhaoyun. Dolomitic reservoir prediction technology based on OVT domain migration data and its application: A case study of Feng 3 member in Wuxia area,Mahu Sag [J]. Lithologic Reservoirs, 2021, 33(6): 145-155.
[13] XU Xingrong, SU Qin, SUN Jiaqing, ZENG Huahui, XIAO Mingtu, LIU Mengli. High precision combined residual static correction method and its application [J]. Lithologic Reservoirs, 2021, 33(5): 132-139.
[14] ZHAO Yan, MAO Ningbo, CHEN Xu. Self-adaptive gain-limit inverse Q filtering method based on SNR in time-frequency domain [J]. Lithologic Reservoirs, 2021, 33(4): 85-92.
[15] MENG Huijie, SU Qin, ZENG Huahui, XU Xingrong, LIU Huan, ZHANG Xiaomei. Blind source separation of seismic signals based on ICA algorithm and its application [J]. Lithologic Reservoirs, 2021, 33(4): 93-100.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] DUAN Tianxiang,LIU Xiaomei,ZHANG Yajun,XIAO Shuqin. Discussion on geologic modeling with Petrel[J]. Lithologic Reservoirs, 2007, 19(2): 102 -107 .
[2] ZHANG Liqiu. Optimization of upward strata combination of second class oil layer in eastern south Ⅱ area of Daqing Oilfield[J]. Lithologic Reservoirs, 2007, 19(4): 116 -120 .
[3] ZHANG Di，HOU Zhongjian，WANG Yahui，WANG Ying，WANG Chunlian. Sedimentary characteristics of lacustrine carbonate rocks of the first member of Shahejie Formation in Banqiao-Beidagang area[J]. Lithologic Reservoirs, 2008, 20(4): 92 -97 .
[4] FAN Huaicai， LI Xiaoping， DOU Tiancai， WU Xinyuan. Study on stress sensitivity effect on flow dynamic features of gas wells[J]. Lithologic Reservoirs, 2010, 22(4): 130 -134 .
[5] TIAN Shufang，ZHANG Hongwen. Application of life cycle theory to predict increasing trend of proved oil reserves in Liaohe Oilfield[J]. Lithologic Reservoirs, 2010, 22(1): 98 -100 .
[6] YANG Kai，GUO Xiao. Numerical simulation study of three-dimensional two-phase black oil model in fractured low permeability reservoirs[J]. Lithologic Reservoirs, 2009, 21(3): 118 -121 .
[7] ZHAI Zhongxi， QINWeijun， GUO Jinrui. Quantitative relations between oil-gas filling degree and channel seepage flow capacity of the reservoir：Example of Shuanghe Oilfield in Biyang Depression[J]. Lithologic Reservoirs, 2009, 21(4): 92 -95 .
[8] QI Minghui，LU Zhengyuan，YUAN Shuai，LI Xinhua. The analysis on the sources of water body and characteristic of water breakthough at Block 12 in Tahe Oilfield[J]. Lithologic Reservoirs, 2009, 21(4): 115 -119 .
[9] LI Xiangbo,CHEN Qi,lin,LIU Huaqing,WAN Yanrong,MU Jingkui,LIAO Jianbo,WEI Lihua. Three types of sediment gravity flows and their petroliferous features of Yanchang Formation in Ordos Basin[J]. Lithologic Reservoirs, 2010, 22(3): 16 -21 .
[10] LIU Yun，LU Yuan，YI Xiangyi， ZHANG Junliang， ZHANG Jinliang，WANG Zhenxi. Gas hydrate forecasting model and its influencing factors[J]. Lithologic Reservoirs, 2010, 22(3): 124 -127 .
TRENDMD:

Copyright © 2018 Lithologic Reservoirs

Support by Beijing Magtech support@magtech.com.cn