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Direct, wave-equation-based modeling of Marchenko-type focusing functions.
Leon Diekmann1, Ivan Vasconcelos1
1Department of Earth Sciences, Utrecht University, 3584 CB Utrecht, Netherlands l.d.diekmann@uu.nl, i.vasconcelos@uu.nl.
JASA Express Letters
|March 1, 2023
Summary
This study presents a novel wave-equation method for modeling Marchenko-type focusing functions. This approach enables direct simulation in complex media, extending current frequency-domain techniques.
Area of Science:
- Seismology and Wave Physics
- Computational Geophysics
Background:
- Focusing functions are wavefields that converge to a single point when introduced into a medium from its boundary.
- Marchenko-type focusing functions possess unique boundary conditions, enabling injection from open boundaries while vanishing elsewhere.
Purpose of the Study:
- To introduce a direct, wave-equation-based modeling method for Marchenko-type focusing functions.
- To extend conventional frequency-domain modeling capabilities to complex media.
Main Methods:
- Utilizes the inherent boundary properties of Marchenko-type focusing functions.
- Employs a direct wave-equation modeling approach, extending frequency-domain techniques.
Main Results:
- Successfully demonstrated a method for direct modeling of Marchenko-type focusing functions.
- The presented method naturally integrates with and extends existing frequency-domain modeling approaches.
Conclusions:
- The developed wave-equation method offers a direct approach to modeling focusing functions in complex media.
- The methodology is applicable to one-dimensional cases and is theoretically extendable to three dimensions.
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