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arXiv 1306.6539math.NAcs.NA
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多尺度反时迁移型成像的双亲分解相空间方法

Multiscale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space

Lund University(隆德大学);Purdue University(普渡大学);CNRS, Institut de Recherche en Informatique de Toulouse (IRIT)(法国国家科学研究中心,图卢兹信息学研究所)

Fredrik Andersson, Maarten V. de Hoop, Herwig Wendt

AI总结:

本文提出基于相空间双亲分解的反时迁移成像方法,利用傅里叶积分算子的规范关系图,通过波包求解波动方程,并开发了基于离散近似计算傅里叶积分算子作用的数值算法。

摘要:

我们开发了一种用傅里叶积分算子表示的反时迁移方法,其规范关系为图。通过相空间的双亲分解,我们利用波包求解具有边界源和齐次初始条件的波动方程。在此基础上,我们开发了从散射数据边界进行反时延续和RTM迁移的数值程序。这些算法源自我们最近为离散近似计算傅里叶积分算子作用所开发的算法,并继承了其概念和数值特性。

英文摘要:

We develop a representation of reverse-time migration in terms of Fourier integral operators the canonical relations of which are graphs. Through the dyadic parabolic decomposition of phase space, we obtain the solution of the wave equation with a boundary source and homogeneous initial conditions using wave packets. On this basis, we develop a numerical procedure for the reverse time continuation from the boundary of scattering data and for RTM migration. The algorithms are derived from those we recently developed for the discrete approximate evaluation of the action of Fourier integral operators and inherit from their conceptual and numerical properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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