TY - JOUR
T1 - A tour of Marchenko redatuming
T2 - Focusing the subsurface wavefield
AU - Cui, Tianci
AU - Vasconcelos, Ivan
AU - Manen, Dirk Jan Van
AU - Wapenaar, Kees
PY - 2018/1/1
Y1 - 2018/1/1
N2 - Marchenko redatuming can retrieve the impulse response to a subsurface virtual source from the single-sided surface reflection data with limited knowledge of the medium. We illustrate the concepts and practical aspects of Marchenko redatuming on a simple 1D acoustic lossless medium in which the coupled Marchenko equations are exact. Defined in a truncated version of the actual medium, the Marchenko focusing functions focus the wavefields at the virtual source location and are responsible for the subsequent retrieval of the downgoing and upgoing components of the medium's impulse response. In real seismic exploration, where we have no access to the truncated medium, we solve the coupled Marchenko equations by iterative substitution, relying on the causality relations between the focusing functions and the desired Green's functions along with an initial estimate of the downgoing focusing function. We show that the amplitude accuracy of the initial focusing function influences that of the retrieved Green's functions. During each iteration, propagating an updated focusing function into the actual medium can be approximated by explicit convolution with the broadband reflection seismic data after appropriate processing, which acts as a proxy for the true medium's reflection response.
AB - Marchenko redatuming can retrieve the impulse response to a subsurface virtual source from the single-sided surface reflection data with limited knowledge of the medium. We illustrate the concepts and practical aspects of Marchenko redatuming on a simple 1D acoustic lossless medium in which the coupled Marchenko equations are exact. Defined in a truncated version of the actual medium, the Marchenko focusing functions focus the wavefields at the virtual source location and are responsible for the subsequent retrieval of the downgoing and upgoing components of the medium's impulse response. In real seismic exploration, where we have no access to the truncated medium, we solve the coupled Marchenko equations by iterative substitution, relying on the causality relations between the focusing functions and the desired Green's functions along with an initial estimate of the downgoing focusing function. We show that the amplitude accuracy of the initial focusing function influences that of the retrieved Green's functions. During each iteration, propagating an updated focusing function into the actual medium can be approximated by explicit convolution with the broadband reflection seismic data after appropriate processing, which acts as a proxy for the true medium's reflection response.
KW - Acoustic
KW - Autofocusing
KW - Internal multiples
KW - Processing
UR - http://www.scopus.com/inward/record.url?scp=85040342505&partnerID=8YFLogxK
UR - http://resolver.tudelft.nl/uuid:3091b118-e955-4727-9127-79a34d026cd8
U2 - 10.1190/tle37010067a1.1
DO - 10.1190/tle37010067a1.1
M3 - Article
SN - 1070-485X
VL - 37
SP - 67a1-67a6
JO - The Leading Edge (Tulsa)
JF - The Leading Edge (Tulsa)
IS - 1
ER -