Variational Algorithms of Deep Kinematic Migration in Two-Dimensional Media with a Horizontal Velocity Gradient

IF 0.3 Q4 GEOLOGY
P. Yu. Stepanov, Yu. A. Gomanyuk
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引用次数: 0

Abstract

The paper considers three algorithms of kinematic migration (conversion of time fields of normal rays into reflecting boundaries) based on the variational theory of ray tracing developed by T.I. Oblogina, prof. of the Department of Seismometry and Geoacoustics, Faculty of Geology, Moscow State University. Numerical experiments with theoretical models of layered media of varying complexity have revealed significant drawbacks of the “classical” variational algorithm for solving the inverse kinematic problem. Two modifications of the classical variational algorithm are suggested in terms of calculating the starting angle of the ray departure from the Earth’s surface, leaving unchanged the principle of taking into account the curvature of seismic rays and refraction at intermediate boundaries: a variational algorithm which uses “image rays” and a kinematic migration algorithm for layered media with variable reservoir velocities, which takes into account the slope of each boundary. The results obtained for theoretical models of complex media show high efficiency of the modified kinematic migration algorithm which takes into account the slope of each boundary when solving the inverse kinematic problem.

Abstract Image

具有水平速度梯度的二维介质中深层运动迁移的变量算法
摘要 本文研究了三种基于莫斯科国立大学地质系地震测量和地质声学教研室教授 T.I. Oblogina 提出的射线追踪变分理论的运动迁移算法(将法线的时间场转换为反射边界)。对不同复杂程度的层状介质理论模型进行的数值实验表明,用于解决反运动学问题的 "经典 "变分算法存在重大缺陷。在计算射线离开地球表面的起始角度方面,在不改变考虑地震射线曲率和中间边界折射的原则的情况下,建议对经典变分算法进行两种修改:一种是使用 "图像射线 "的变分算法,另一种是考虑到每个边界坡度的、用于储层速度可变的层状介质的运动迁移算法。对复杂介质理论模型的研究结果表明,修改后的运动迁移算法效率很高,该算法在解决反向运动问题时考虑了每个边界的斜率。
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来源期刊
CiteScore
0.60
自引率
25.00%
发文量
43
期刊介绍: Moscow University Geology Bulletin  is the journal that mainly publishes scientific articles, short reports of graduate students, and reviews. Publications made by the members of the Faculty of Geology of the Moscow State University and their collaborators are published. Publications encompass all branches of geology.
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