SUMMARY Marchenko methods are based on integral representations which express Green’s functions for virtual sources and/or receivers in the subsurface in terms of the reflection response at the surface. An underlying assumption is that inside the medium the wave field can be decomposed into downgoing and upgoing waves and that evanescent waves can be neglected. We present a new derivation of Green’s function representations which circumvents these assumptions, both for the acoustic and the elastodynamic situation. These representations form the basis for research into new Marchenko methods which have the potential to handle refracted and evanescent waves and to more accurately image steeply dipping reflectors.

中文翻译：

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没有上/下分解的马尔琴科成像的格林函数表示

概述 Marchenko 方法基于积分表示，该积分表示根据地表处的反射响应来表达地下虚拟源和/或接收器的格林函数。一个潜在的假设是，在介质内部，波场可以分解为下行波和上行波，并且可以忽略倏逝波。我们提出了一种新的格林函数表示推导，它绕过了这些假设，适用于声学和弹性动力学情况。这些表示形式为研究新的 Marchenko 方法奠定了基础，这些方法有可能处理折射波和倏逝波并更准确地成像陡倾反射器。