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应用地球物理  2013, Vol. 10 Issue (3): 314-322    DOI: 10.1007/s11770-013-0385-1
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基于Born/Rytov近似的波动方程层析速度反演方法研究
张凯,尹正,李振春,陈永芮
中国石油大学(华东)地球科学与技术学院,青岛 266580
Wave equation tomographic velocity inversion method based on the Born/Rytov approximation
Zhang Kai1, Yin Zheng1, Li Zhen-Chun1, and Chen Yong-Rui1
1. School of Geosciences, China University of Petroleum, Qingdao, China, 266580.
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摘要 本文研究了第一菲涅尔带约束下的波动方程Born/Rytov近似层析反演方法,其中如何求取敏感核函数和旅行时残差是关键技术。以频率域波动方程Born和Rytov近似为基础,推导出建立在带限地震波理论基础上的波动方程Born/Rytov近似走时敏感核函数,同时依据Rytov近似求取走时残差。与常规单射线走时层析方法不同,改进的速度反演方法提高了反演的稳定性。模型试算与实际资料处理结果表明,相对于传统的单射线走时层析和波形反演方法,该方法具有更高的反演精度与计算效率。
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张凯
尹正
李振春
陈永芮
关键词: 层析反演   菲涅尔带   敏感核函数   Born近似   Rytov近似     
Abstract: This paper discusses Born/Rytov approximation tomographic velocity inversion methods constrained by the Fresnel zone. Calculations of the sensitivity kernel function and traveltime residuals are critical in tomographic velocity inversion. Based on the Born/Rytov approximation of the frequency-domain wave equation, we derive the traveltime sensitivity kernels of the wave equation on the band-limited wave field and simultaneously obtain the traveltime residuals based on the Rytov approximation. In contrast to single-ray tomography, the modified velocity inversion method improves the inversion stability. Tests of the near-surface velocity model and field data prove that the proposed method has higher accuracy and Computational efficiency than ray theory tomography and full waveform inversion methods.
Key words: Tomographic inversion   Fresnel zone   sensitivity kernels   Born approximation   Rytov approximation   
收稿日期: 2013-01-27;
基金资助:

本研究由国家自然科学基金(41204086)、中国石油大学自主创新科研计划资助项目(13CX02041A)、教育部博士点基金项目(20110133120001)、国家863课题(2011AA060301)和国家科技重大专项(2011ZX05006-002)联合资助。

作者简介: 张凯,理学博士,讲师,2000年本科毕业于大庆石油学院工业自动化专业,2003年获中国石油大学(华东)地球探测与信息技术专业硕士学位,2008年获同济大学固体地球物理学专业博士学位;现在中国石油大学(华东)地球科学与技术学院主要从事反射地震波的传播、叠前偏移速度反演及波形反演等领域的教研工作。
引用本文:   
张凯,尹正,李振春等. 基于Born/Rytov近似的波动方程层析速度反演方法研究[J]. 应用地球物理, 2013, 10(3): 314-322.
ZHANG Kai,YIN Zheng,LI Zhen-Chun et al. Wave equation tomographic velocity inversion method based on the Born/Rytov approximation[J]. APPLIED GEOPHYSICS, 2013, 10(3): 314-322.
 
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