Green’s function representations for Marchenko imaging without up/down decomposition

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