The Marchenko methods can retrieve both Green's functions and focusing functions from single-sided reflection data and an initial focusing function. Recent studies also show that they can be applied to eliminating multiples directly from reflection data without requiring model information as the input. In this work, we study the effect of limited acquisition sampling on both the output focusing functions and the primary estimation results obtained from Marchenko methods. For focusing functions output from the coupled Marchenko system, downsampling in either source or receiver leads to absolute amplitude errors, with the addition of spatial aliasing brought by receiver subsampling. For the projected Marchenko system used in primary estimation, downsampling in these two dimensions can completely contaminate output primaries with multiples, with similar spatial gaps brought by receiver downsampling. Therefore, the acquisition geometry has a significant impact on results of the Marchenko methods, which must be taken into account in realistic acquisition scenarios.


Article metrics loading...

Loading full text...

Full text loading...


  1. Wapenaar, K., Thorbecke, J., Van der Neut, J., Broggini, F., Slob, E., and Snieder, R
    . [2014] Green's function retrieval from reflection data, in absence of a receiver at the virtual source position. Journal of the Acoustical Society of America, 135(5), 2847–2861.
    [Google Scholar]
  2. Van der Neut, J., Vasconcelos, I., and Wapenaar, K
    . [2015a] On Green's function retrieval by iterative substitution of the coupled Marchenko equations. Geophysical Journal International, 203, 792–813.
    [Google Scholar]
  3. Jvan der Neut, JThorbecke, KWapenaar, ESlob
    . [2015b] Inversion of the multidimensional Marchenko equation. 74th EAGE Conference and Exhibition, Extended Abstracts.
    [Google Scholar]
  4. Van der Neut, J., and Wapenaar, K
    . [2016] Adaptive overburden elimination with the multidimensional Marchenko equation. Geophysics, 81(5), T265–T284.
    [Google Scholar]
  5. LeleZhang, MyrnaStaring
    . [2018] Marchenko scheme based internal multiple reflection elimination in acoustic wavefield. Journal of Applied Geophysics, 159, 429–433.
    [Google Scholar]
  6. LeleZhang, EvertSlob
    . [2019] Free-surface and internal multiple elimination in one step without adaptive subtraction. Geophysics, 84(1), A7–A11.
    [Google Scholar]
  7. C.M.Haindl, F.Broggini, M.Ravasi and D.-J.van Manen
    . [2017] Using Sparsity to Improve the Accuracy of Marchenko Imaging of Single and Time-Lapse Seismic Given Imperfect Acquisitiont. 80th EAGE Conference and Exhibition, Extended Abstracts.
    [Google Scholar]

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error