用射线法分析迁移速度 双平方根方程的渐近性

N. N. Shilov, A. A. Duchkov
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引用次数: 0

摘要

摘要 地下结构的地震图像是地震数据处理中最有价值的成果。本文基于我们独创的双平方根方程的高频渐近线,即一种仅描述单散射波场的特殊单向近似波方程,开发了一种梯度-后退速度更新算法。我们提出了与广泛采用的成像条件相一致的损耗函数,并推导出梯度计算公式。我们在二维环境下的无噪声合成数据集上测试了我们的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Migration Velocity Analysis Using a Ray Method Asymptotics of the Double Square Root Equation

Seismic images of subsurface structures are the most valuable outcome of seismic data processing. The image quality is strongly affected by the accuracy of background velocity model. In this paper, we develop a gradient-descent velocity update algorithm based on our original high-frequency asymptotics of the Double Square Root equation, i.e., a special one-way approximation of the wave equation describing single-scattered wave field only. We propose a loss function consistent with widely adopted imaging condition and derive equations for its gradient computation. We test our method on noise-free synthetic datasets in 2D settings.

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来源期刊
Journal of Applied and Industrial Mathematics
Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering
CiteScore
1.00
自引率
0.00%
发文量
16
期刊介绍: Journal of Applied and Industrial Mathematics  is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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