| 利用单程波算子进行叠前时间偏移走时计算(英文) |
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| 引用本文： | 刘国峰,刘洪,李博,孟小红.利用单程波算子进行叠前时间偏移走时计算(英文)[J].应用地球物理,2009,6(2):129-137. |
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| 作者姓名： | 刘国峰 刘洪 李博 孟小红 |
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| 作者单位： | Liu Guofeng,Li Bo,Meng Xiaohong(Key Laboratory of Petroleum Geophysics,Institute of Geology and Geophysics,CAS,Beijing 100029,China;State Key Laboratory of Geological Processes and Mineral Resources Geo-detection Laboratory of the Ministry of Education,Beijing 100083,China);Liu Hong(Key Laboratory of Petroleum Geophysics,Institute of Geology and Geophysics,CAS,Beijing 100029,China)
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| 基金项目： | 国家重点基础研究发展规划(973计划)，Key Project of the National Natural Science Foundation，State Key Laboratory of Geological Processes and Mineral Resources Geo-detection Laboratory of the Ministry of Education for their sponsirship |
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| 摘 要： | 传统的叠前时间偏移公式都是基于水平层状模型的假设而推导而来,在速度横向变化剧烈的介质中则不能够达到理想的聚焦效果。本文基于李代数积分方程以及拟微分算子等理论推导了非对称走时公式,计算公式由于包含有速度横向导数项,在速度横向变化大的介质中,也能有较高的聚焦效果,而且也为走时计算提供了精确的相对振幅保持权系数。本文对推导的方法进行模型测试并进行实际数据的试算,其结果证明非对称走时方法的成像精度远高于对称走时计算方法。
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| 关 键 词： | 叠前时间偏移 旅行时间 伪微分算子 平方根 偏移速度模型 时间对称 偏移成像 界面形状 |
| 收稿时间： | 18 August 2006 |
Getting pre-stack time migration travel times from the single square root operator |
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| Guofeng Liu,Hong Liu,Bo Li,Xiaohong Meng.Getting pre-stack time migration travel times from the single square root operator[J].Applied Geophysics,2009,6(2):129-137. |
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| Authors: | Guofeng Liu Hong Liu Bo Li Xiaohong Meng |
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| Institution: | [1]Key Laboratory of Petroleum Geophysics, Institute of Geology and Geophysics, CAS, Beijing 100029, China [2]State Key Laboratory of Geological Processes and Mineral Resources Geo-detection Laboratory of the Ministry of Education, Beijing 100083, China |
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| Abstract: | Improving the focusing capability of pre-stack time migration allows the imaged section to reflect structural characteristics, depth, and interface shape and it is a key step for the preparation of the initial depth migration velocity model. The traditional symmetrical travel time equation is derived based on the assumption of a layered model. It is difficult to achieve the desired effect of focusing in media with strong lateral variation. The non-symmetrical travel time equation based on Lie algebra and a pseudo-differential operator contains a lateral velocity derivative which can improve the focusing capability even in strongly lateral variable media and also the computation precision of the weight coefficients for relative amplitude preservation. Compared with the symmetrical methods, the non-symmetrical method is more effective. In this paper, we describe several key steps of non-symmetric pre-staek travel time calculation and present some test results using synthetic and real data. |
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| Keywords: | single square root operator travel time Lie algebra pseudo-differential operator |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
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