Virtual acoustics in inhomogeneous media with single-sided access

A virtual acoustic source inside a medium can be created by emitting a time-reversed point-source response from the enclosing boundary into the medium. However, in many practical situations the medium can be accessed from one side only. In those cases the time-reversal approach is not exact. Here, we demonstrate the experimental design and...

Single- and Double-Sided Marchenko Imaging Conditions in Acoustic Media

A single-sided representation for the homogeneous Green's function, accounting for all multiples

Marchenko imaging is a novel imaging technique that is capable to retrieve images from single-sided reflection measurements free of artefacts related to internal multiples (e.g. Behura et al., 2014; Broggini et al., 2012). An essential ingredient of Marchenko imaging is the so-called focusing function which can<br/>be retrieved from reflection...

Marchenko method for monitoring induced seismicity with virtual receivers

The Marchenko method can be used to retrieve Green’s functions (including multiple scattering) between virtual sources in the subsurface and physical receivers at the surface or virtual receivers in the subsurface. Here we discuss a variant of the Marchenko method which retrieves the response between physical sources and virtual receivers in the...

Virtual seismology: from hydrocarbon reservoir imaging to induced earthquake monitoring

Recent developments in exploration seismology have enabled the creation of virtual sources and/or virtual receivers in the subsurface from reflection measurements at the earth's surface. Unlike in seismic interferometry, no physical instrument (receiver or source) is needed at the position of the virtual source or receiver. Moreover, no detailed...

Q‐factor Estimation and Redatuming in a Lossy Medium Using the Marchenko Equation

Marchenko Imaging is a new technology in geophysics, which enables us to retrieve Green's functions at any point in the subsurface having only reflection data. One of the assumptions of the Marchenko method is that the medium is lossless. One way to circumvent this assumption is to find a compensation parameter for the lossy reflection series so...

Implementation of the marchenko method

The Marchenko method makes it possible to compute subsurface-to-surface Green's functions from reflection measurements at the surface. Applications of the Marchenko method have already been discussed in many papers, but its implementation aspects have not yet been discussed in detail. Solving the Marchenko equation is an inverse problem. The...

Decomposition of the Green's function using the Marchenko equation

The Marchenko equation can be used to retrieve the Green’s function at depth as a full function or decomposed into its upand downgoing parts. We show that the equation can be rewritten to create a decomposition scheme that can decompose a full wavefield, that was recorded at depth, into its up- and downgoing parts. We show that this can be done...

Homogeneous Green’s function retrieval using the Marchenko method

In wave theory, a Green’s function is defined as the response of a medium to an impulsive point source. The homogeneous Green’s function is the combination of the Green’s function and its time-reversal. Homogeneous Green’s functions can be retrieved if the medium is enclosed by a boundary where the full wavefield is recorded. In recent years,...