[an error occurred while processing this directive] | Global Geology 2020, 23(1) 24-31 DOI: 10.3969/j.issn.1673-9736.2020.01.03 ISSN: 1673-9736 CN: 22-1371/P | ||||||||||||||||||||||||||||||||||||||||||
本期目录 | 下期目录 | 过刊浏览 | 高级检索 [打印本页] [关闭] | |||||||||||||||||||||||||||||||||||||||||||
论文 |
| ||||||||||||||||||||||||||||||||||||||||||
Computation of waves scattered by inhomogeneousvelocity gradient using generalized Born approximation | |||||||||||||||||||||||||||||||||||||||||||
LIU Bo, SUN Jianguo, MENG Xiangyu | |||||||||||||||||||||||||||||||||||||||||||
College Of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China | |||||||||||||||||||||||||||||||||||||||||||
摘要: The generalized Born approximation is an approximation method that represents the scattering term by the error between the exact Green's function and the approximate Green's function, mainly for the gradient scattering problem. However, so far, the research on the generalized Born approximation has only stayed in theory, and its implementation techniques are rarely reported. In order to fill this gap, the basic theory of generalized Born approximation is reviewed, and the implementation method of generalized Born approximation is discussed in this paper. In particular, the problem of calculating boundary effect elimination is discussed in detail. Finally, through model trial calculation, the calculation of gradient scattering, by comparing Born approximation and finite difference method, shows that using the generalized Born approximation to calculate gradient scattering achieves higher computational accuracy. | |||||||||||||||||||||||||||||||||||||||||||
关键词: generalized Born approximation gradient scattering implementation technology numerical simulation | |||||||||||||||||||||||||||||||||||||||||||
Computation of waves scattered by inhomogeneousvelocity gradient using generalized Born approximation | |||||||||||||||||||||||||||||||||||||||||||
LIU Bo, SUN Jianguo, MENG Xiangyu | |||||||||||||||||||||||||||||||||||||||||||
College Of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China | |||||||||||||||||||||||||||||||||||||||||||
Abstract: The generalized Born approximation is an approximation method that represents the scattering term by the error between the exact Green's function and the approximate Green's function, mainly for the gradient scattering problem. However, so far, the research on the generalized Born approximation has only stayed in theory, and its implementation techniques are rarely reported. In order to fill this gap, the basic theory of generalized Born approximation is reviewed, and the implementation method of generalized Born approximation is discussed in this paper. In particular, the problem of calculating boundary effect elimination is discussed in detail. Finally, through model trial calculation, the calculation of gradient scattering, by comparing Born approximation and finite difference method, shows that using the generalized Born approximation to calculate gradient scattering achieves higher computational accuracy. | |||||||||||||||||||||||||||||||||||||||||||
Keywords: generalized Born approximation gradient scattering implementation technology numerical simulation | |||||||||||||||||||||||||||||||||||||||||||
收稿日期 2019-09-09 修回日期 2019-10-15 网络版发布日期 | |||||||||||||||||||||||||||||||||||||||||||
DOI: 10.3969/j.issn.1673-9736.2020.01.03 | |||||||||||||||||||||||||||||||||||||||||||
基金项目:
Supported by Project of the National Natural Science Foundation of China (No. 41974135). | |||||||||||||||||||||||||||||||||||||||||||
通讯作者: SUN Jianguo | |||||||||||||||||||||||||||||||||||||||||||
作者简介: | |||||||||||||||||||||||||||||||||||||||||||
作者Email: sun_jg@jlu.edu.cn | |||||||||||||||||||||||||||||||||||||||||||
| |||||||||||||||||||||||||||||||||||||||||||
参考文献: | |||||||||||||||||||||||||||||||||||||||||||
Cerjan C, Kosloff D, Kosloff R, et al. 1985. A nonreflecting boundary condition for discrete acoustic and elastic wave equations. Geophysics, 50(4):705-708. Coates R T, Chapman C H. 1990. Ray perturbation theory and the Born approximation. Geophysical Journal of the Royal Astronomical Society, 100(3):379-392. Coates R T, Chapman C H. 1991. Generalized Born scattering of elastic waves in 3-D media. Geophysical Journal International, 107(2):231-263. Gibson R L, Batini F, Toksoz M, et al. 1993. Ray-Born modelling of fracture-zone reflections in the Larderello geothermal field. Geophysical Journal of the Royal Astronomical Society, 114(1):81-90. Huang X G, Sun H, Sun J G. 2016. Born modeling for heterogeneous media using the Gaussian beam summation based Green's function. Journal of Applied Geophysics, 131:191-201. Hudson J A, Heritage J R. 1981. The use of the Born approximation in seismic scattering problems. Geophysical Journal of the Royal Astronomical Society, 66(1):221-240. Lailly P, Sinoquet D. 1996. Smooth velocity models in reflection tomography for imaging complex geological structures. Geophysical Journal International, 124(2):349-362. Li Y L. 2019. Reflected wave calculation in smooth velocity model:master's degree thesis. Changchun:Jilin University. (in Chinese with English abstract) Panning M P, Capdeville Y, Romanowicz B A. 2009. Seismic waveform modelling in a 3-D Earth using the Born approx-imation:potential shortcomings and a remedy. Geophysical Journal International, 177(1):161-178. Sun J G,Li Y L, Sun G Q, et al. 2018. Computation of seismic traveltimes and ray path based on model Parameterization. Journal of Jilin University (Earth Science Edition), 48(2):343-349. (in Chinese with English abstract) Sun J G. 2000. Limited-aperture migration. Geophysics, 65(2):584-595. Sun J G. 2016. High-frequency asymptotic scattering theories and their applications in numerical modeling and imaging of geophysical fields:an overview of the research history and the stat-of-the-art, and some new developments. Journal of Jilin University (Earth Science Edition), 46(4):1231-1259. (in Chinese with English abstract) Vinje V, Iversen E, Gjoystdal H. 1993. Traveltime and amplitude estimation using wavefront construction. Geophysics, 58(8):1157-1166. Wu H, Lees J M. 1997. Boundary conditions on a finite grid:applications with pseudospectral wave propagation. Geophysics, 62(5):1544-1557. Yu G X, Fu L Y. 2012. Rytov series approximation for rough surface scattering. Bulletin of the Seismological Society of America, 102(1):42-52. Yue Y B, Qian Z P, Zhang X D, et al. 2019. Gaussian beam based Born modeling method for single-scattering waves in acoustic medium. Chinese Journal of Geophysics, 62(2):648-656. (in Chinese with English abstract) Zhang Y. 2007. Artificial boundary conditions in acoustic forward modeling. Chinese Journal of Engineering Geophysics, (4):360-365. (in Chinese with English abstract) |
|||||||||||||||||||||||||||||||||||||||||||
本刊中的类似文章 | |||||||||||||||||||||||||||||||||||||||||||
1.ZHANG Tiantong, LIU Zeyu, XIE Zhixian, LI Yubo, XUE Linfu.Numerical simulation of oil shale in-situ mining using fluid-thermo-solid coupling[J]. Global Geology, 2020,23(4): 247-254 | |||||||||||||||||||||||||||||||||||||||||||
2.LEI Honglei, ZHANG Yanjun, WU Fan, HU Zhongjun, YU Ziwang, ZHU Chengcheng, LÜ Tianqi.Parallel numerical simulation on CO2 geologic storage in Ordos Basin, China[J]. Global Geology, 2017,20(3): 164-169 | |||||||||||||||||||||||||||||||||||||||||||
Copyright by Global Geology |