Green's function retrieval from reflection data, in absence of a receiver at the virtual source position

Area of Science:

• Geophysics
• Acoustic Wave Propagation
• Signal Processing

Background:

• Green's function retrieval is crucial for passive and controlled-source acoustic measurements.
• Existing methods often require a receiver at the virtual source position.

Purpose of the Study:

• To present a novel method for Green's function retrieval from controlled-source reflection data.
• To circumvent the need for a receiver at the virtual source location.

Main Methods:

• Utilizes controlled-source reflection data and an estimate of the direct arrival Green's function.
• Employs a single-sided three-dimensional (3D) Marchenko equation.
• Iteratively solves the Marchenko equation to retrieve the scattering coda of a focusing function.

Main Results:

• Successfully retrieves the scattering coda from reflection response.
• Enables construction of the Green's function, including multiple scattering.
• Demonstrates a method that circumvents the need for a receiver at the virtual source.

Conclusions:

• The proposed methodology offers a new approach to Green's function retrieval.
• It has significant applications in acoustic imaging, particularly in accounting for internal multiple scattering.