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Updated: Dec 16, 2025

Author Spotlight: A Stable Phantom Material for Optical and Acoustic Imaging
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Tutorial: unified 1D inversion of the acoustic reflection response.

Evert Slob1, Kees Wapenaar1, Sven Treitel2

  • 1Department of Geoscience and Engineering Delft University of Technology P.O. Box 5048 Delft GA 2600 The Netherlands.

Geophysical Prospecting
|July 3, 2020
PubMed
Summary
This summary is machine-generated.

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Articles linked to this work by shared authors, journal, and citation graph.

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Same author

On the relation between time-reversed acoustics and Green's function retrieval in space-variant and in time-variant materials.

The Journal of the Acoustical Society of America·2026
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Erratum: Wave-field representations with Green's functions, propagator matrices, and Marchenko-type focusing functions [J. Acoust. Soc. Am. 151, 587-608 (2022)].

The Journal of the Acoustical Society of America·2023
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Data-driven retrieval of primary plane-wave responses.

Geophysical prospecting·2020
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Three-dimensional Marchenko internal multiple attenuation on narrow azimuth streamer data of the Santos Basin, Brazil.

Geophysical prospecting·2020
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Marchenko-Based Target Replacement, Accounting for All Orders of Multiple Reflections.

Journal of geophysical research. Solid earth·2018
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Virtual acoustics in inhomogeneous media with single-sided access.

Scientific reports·2018

This study combines recursive and Marchenko-type acoustic inversion methods for 1D layered media. The integrated approach enables non-recursive, target-oriented seismic inversion, even with noisy data.

Area of Science:

  • Geophysics
  • Seismic Exploration
  • Acoustic Inversion

Background:

  • One-dimensional acoustic inversion determines impedance from travel time.
  • Inverting reflection response is a linear problem, with known recursive methods.
  • Marchenko-based methods offer non-recursive impedance retrieval but need zero-frequency reflection data.

Purpose of the Study:

  • To develop a non-recursive, target-oriented seismic inversion scheme.
  • To combine recursive and Marchenko-type methods for improved inversion.
  • To accurately determine layer properties in horizontally layered media.

Main Methods:

  • Utilizing a fundamental wave field computed from reflection response.
  • Integrating recursive (top-down/bottom-up) and Marchenko-type inversion techniques.
Keywords:
acousticinversionnumerical study

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  • Applying an integral over the Marchenko equation solution for impedance retrieval.

    • Main Results:

    • A novel non-recursive inversion scheme effective with finite-frequency bandwidth was developed.
    • The combined method accurately retrieves layer thickness, wave velocity, and density ratios.
    • Statistical analysis confirmed robust performance on noisy synthetic data.

    Conclusions:

    • The combined inversion method provides a powerful tool for target-oriented seismic analysis.
    • This approach enhances the accuracy of geophysical parameter estimation in layered media.
    • The method demonstrates resilience and effectiveness even with the presence of noise.