|
|
|
| Kirchhoff full plane imaging method based on Eikonal equation |
Min ZHI( ), Jian-Gang ZHU |
| Xi'an Research Institute of China Coal Technology & Engineering Group,Xi'an 710077,China |
|
|
|
|
Abstract In this paper,the first arrival wave time field of imaging area is obtained by solving the Eikonal equation by using wavefront expansion extrapolation method.The full plane migration imaging of prestack data of complex model is performed by using Kirchhoff integral migration technique.The imaging results show that the inversion method of curve ray tomography describes the anomaly velocity body more accurately than straight ray tomography result.Better migration imaging results can be obtained by using the velocity field inverted by curved ray tomography.
|
|
Received: 24 June 2019
Published: 28 August 2020
|
|
|
|
|
|
|
Diagram of rectangular mesh partition
|
|
Sketch of straight-ray tomography inversion in regular grids
|
|
Sketch of curve-ray tomography inversion in regular grids
|
|
Model and observation system
|
|
Simulate single shot record
|
|
Velocity structure by straight(a) and curve ray(b) tomography inversion
|
|
Comparison of isochron maps of straight (a) and curve (b) ray tomography
|
|
Original migration imaging profile
a—imaging profile of straight ray result;b—imaging profile of curve ray result
|
|
Imaging profile after Laplace filtering
a—imaging profile of straight ray result;b—imaging profile of curve ray result
|
| [1] |
宋勇. Kirchhoff积分转换波叠前深度偏移方法研究[D]. 西安:长安大学, 2015:4-5.
|
| [1] |
Song Y. Study of pre-stack depth migration based on kirchhoff integral method [D]. Xi'an:Chang'an University, 2015:4-5.
|
| [2] |
王季. 反射槽波探测采空巷道的实验与方法[J]. 煤炭学报, 2015,40(8):1879-1885.
|
| [2] |
Wang J. Experiment and method of void roadway detection using reflected in-seam wave[J]. Journal of China Coal Society, 2015,40(8):1879-1885.
|
| [3] |
姬广忠. 反射槽波绕射偏移成像及应用[J]. 煤田地质与勘探, 2017,45(1):121-124.
|
| [3] |
Ji G Z. Diffraction migration imaging of reflected in-seam waves and its application[J]. Coal Geology & Exploration, 2017,45(1):121-124.
|
| [4] |
王华忠, 方正茂, 徐兆涛, 等. 地震波旅行时计算[J]. 石油地球物理勘探, 1999,34(2):155-163.
|
| [4] |
Wang H Z, Fang Z M, Xu Z T, et al. Computation of seismic travel time[J]. Oil Geophysical Prospecting, 1999,34(2):155-163.
|
| [5] |
Asawaka E, Kawanaka T. Seismic ray tracng using linear traveltime interpolation[J]. Geophysical Prospeting, 1993,41:99-111.
|
| [6] |
叶佩, 李庆春. 旅行时线性插值射线追踪提高计算精度和效率的改进方法[J]. 吉林大学学报:地球科学版, 2013,43(1):291-298.
|
| [6] |
Ye P, Li Q C. Improvement of linear traveltime interpolation ray tracing for the Accuracy and efficiency[J]. Journal of Jilin University:Earth Science Edition, 2013,43(1):291-298.
|
| [7] |
李文杰, 魏修成, 宁俊瑞. 一种改进的利用程函方程计算旅行时的方法[J]. 石油地球物理勘探, 2008,43(5):589-594.
|
| [7] |
Li W J, Wei X C, Ning J R. A method using improved Eikonal equation to compute travel time[J]. Oil Geophysical Prospecting, 2008,43(5):589-594.
|
| [8] |
赵连锋, 朱介寿, 曹俊兴. 有序波前重建法的射线追踪[J]. 地球物理学报, 2003,46(3):415-420.
|
| [8] |
Zhao L F, Zhu J S, Cao J X. Ray tracing using ordinal wavefront reconstruction[J]. Chinese Journal of Geophysics, 2003,46(3):415-420.
|
| [9] |
张建中, 陈世军, 徐初伟. 动态网格最短路径射线追踪[J]. 油气地球物理, 2004,47(5):899-904.
|
| [9] |
Zhang J Z, Chen S J, Xu C W. A method of shortest path raytracing with dynamic networks[J]. Chinese Journal of Geophysics, 2004,47(5):899-904.
|
| [10] |
李永博, 李庆春, 吴琼, 等. 快速行进法射线追踪提高旅行时计算精度和效率的改进措施[J]. 石油地球物理勘探, 2016,51(3):467-473.
|
| [10] |
Li Y B, Li Q C, Wu Q, et al. Improved fast marching method for higher calculation accuracy and efficiency of traveltime[J]. Oil Geophysical Prospecting, 2016,51(3):467-473.
|
| [11] |
李振春, 刘玉莲, 张建磊, 等. 基于矩形网格的有限差分走时计算方法[J]. 地震学报, 2004,26(6):644-650.
|
| [11] |
Li Z C, Liu Y L, Zhang J L, et al. Finite-difference calculate of travaltims based on rectangular gird[J]. Acta Seismologica Sinica, 2004,26(6):644-650.
|
| [12] |
潘纪顺, 姚振兴, 纪晨. 二维复杂介质中地震波走时和射线的计算方法及其应用[J]. 地震研究, 2006,29(3):245-250.
|
| [12] |
Pan J S, Yao Z X, Ji C. Computation method of seismic wave travel times and rays in 2D complicated velocity models and its application[J]. Journal of Seismology Research, 2006,29(3):245-250.
|
| [13] |
Aldridge D F, Oldenbuerg D W. Two-dimensional tomographic inversion with finite-difference traveltimes[J]. Journal of Seismic Exploration, 1993,2(3):257-274.
|
| [14] |
杜启振, 侯波. 地震波初至旅行时计算策略[J]. 中国石油大学学报, 2009,33(2):49-52.
|
| [14] |
Du Q Z, Hou B. Strategies of seismic wave first break travel time calculation[J]. Journal of China University of Petroleum, 2009,33(2):49-52.
|
| [15] |
王飞. 跨孔雷达走时层析反演方法的研究[D]. 长春:吉林大学, 2014:68.
|
| [15] |
Wang F. Research on crosshole radar traveltime tomography[D]. Changchun:Jilin University, 2014:68.
|
| [16] |
胡建华, 陈兴同, 曹德欣. 数值计算方法[M]. 徐州: 中国矿业大学出版社, 1990:138.
|
| [16] |
Hu J H, Chen X T, Cao D X. Numerical methods[M]. Xuzhou: China University of Mining and Technology Press, 1990:138.
|
| [17] |
张东, 乔友峰, 姜麟舜, 等. 地震层析成像中LSQR算法的快速求解[J]. 物探化探计算技术, 2011,33(6):632-635.
|
| [17] |
Zhang D, Qiao Y F, Jiang L S, et al. Fast implementation of LSQR Algorithm in seismic tomography[J]. Computation Techniques for Geophysical and Geochemical Exploration, 2011,33(6):632-635.
|
| [18] |
杨艳, 秦克伟, 张东, 等. 一种改进的近地表层析成像SIRT算法[J]. 武汉大学学报:理学版, 2009,55(2):201-205.
|
| [18] |
Yang Y, Qin K W, Zhang D, et al. Improvement of SIRT Algorithm in near-surface seismic tomography[J]. Journal of Wuhan University:Nature Science Edition, 2009,55(2):201-205.
|
| [19] |
陈占国. 地震散射波成像方法研究[D]. 西安:长安大学, 2012:74.
|
| [19] |
Chen Z G. A study on seismic scatter wave imaging method[D]. Xi'an:Chang'an University, 2012:74.
|
|
|
|
