One‐way acoustic reciprocity and its applications in multiple elimination and time‐lapse seismics

Wapenaar, Kees; Fokkema, J.T.; Dillen, Menno; Scherpenhuijsen, Pieter

doi:10.1190/1.1815939

Cited by 19 publications

(15 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Claerbout (1971), Wapenaar et al (2000) and Amundsen (2001) have shown that one can get the reflection coefficient below an arbitrary depth level once the up-and down-going wavefields are available. The governing equation for imaging with these up-and down-going waves is where ∂ D i is an arbitrary depth level, R ∪ 0 is the reflection response below ∂ D i .…”

Section: Theorymentioning

confidence: 99%

Autofocusing imaging: Imaging with primaries, internal multiples and free-surface multiples

Singh¹,

Snieder²,

Behura

et al. 2014

SEG Technical Program Expanded Abstracts 2014

View full text Add to dashboard Cite

Section: Theorymentioning

confidence: 99%

Autofocusing imaging: Imaging with primaries, internal multiples and free-surface multiples

Singh¹,

Snieder²,

Behura

et al. 2014

SEG Technical Program Expanded Abstracts 2014

View full text Add to dashboard Cite

“…The use of up-and downgoing wavefields for imaging is not a new principle. Claerbout (1971), Wapenaar et al (2000), and Amundsen (2001) show that one can get the reflection response below an arbitrary depth level once the up-and downgoing wavefields are available.…”

Section: Marchenko Iterative Schemementioning

confidence: 99%

Accounting for free-surface multiples in Marchenko imaging

et al. 2017

Self Cite

View full text Add to dashboard Cite

Imagine placing a receiver at any location in the earth and recording the response at that location to sources on the surface. In such a world, we could place receivers around our reservoir to better image the reservoir and understand its properties. Realistically, this is not a feasible approach for understanding the subsurface. We have developed an alternative and realizable approach to obtain the response of a buried virtual receiver for sources at the surface. Our method is capable of retrieving the Green's function for a virtual point in the subsurface to the acquisition surface. In our case, a physical receiver is not required at the subsurface point; instead, we require the reflection measurements for sources and receivers at the surface of the earth and a macromodel of the velocity (no small-scale details of the model are necessary). We can interpret the retrieved Green's function as the response to sources at the surface for a virtual receiver in the subsurface. We obtain this Green's function by solving the Marchenko equation, an integral equation pertinent to inverse scattering problems. Our derivation of the Marchenko equation for the Green's function retrieval takes into account the free-surface reflections present in the reflection response (previous work considered a response without free-surface multiples). We decompose the Marchenko equation into up-and downgoing fields and solve for these fields iteratively. The retrieved Green's function not only includes primaries and internal multiples as do previous methods, but it also includes freesurface multiples. We use these up-and downgoing fields to obtain a 2D image of our area of interest, in this case, below a synclinal structure.

show abstract

Section: Theorymentioning

confidence: 99%

Marchenko imaging: Imaging with primaries, internal multiples, and free-surface multiples

et al. 2015

Self Cite

View full text Add to dashboard Cite

Recent work on retrieving the Green’s function with the Marchenko equation shows how these functions for a virtual source in the subsurface can be obtained from reflection data. The response to the virtual source is the Green’s function from the location of the virtual source to the surface. The Green’s function is retrieved using only the reflection response of the medium and an estimate of the first arrival at the surface from the virtual source. Current techniques, however, only include primaries and internal multiples. Therefore, all surface-related multiples must be removed from the reflection response prior to Green’s function retrieval. We have extended the Marchenko equation to retrieve the Green’s function that includes primaries, internal multiples, and free-surface multiples. In other words, we have retrieved the Green’s function in the presence of a free surface. The information needed for the retrieval is the same as the current techniques, with the only difference being that the reflection response now also includes free-surface multiples. The inclusion of these multiples makes it possible to include them in the imaging operator, and it obviates the need for surface-related multiple elimination. This type of imaging with Green’s functions is called Marchenko imaging.

show abstract

One‐way acoustic reciprocity and its applications in multiple elimination and time‐lapse seismics

Cited by 19 publications

References 5 publications

Autofocusing imaging: Imaging with primaries, internal multiples and free-surface multiples

Autofocusing imaging: Imaging with primaries, internal multiples and free-surface multiples

Accounting for free-surface multiples in Marchenko imaging

Marchenko imaging: Imaging with primaries, internal multiples, and free-surface multiples

Contact Info

Product

Resources

About