TY - GEN
T1 - Calculation of the inverse data space via sparse inversion
AU - Saragiotis, Christos
AU - Doulgeris, Panagiotis C.
AU - Verschuur, Dirk Jacob Eric
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2015/12/22
Y1 - 2015/12/22
N2 - The inverse data space provides a natural separation of primaries and surface-related multiples, as the surface multiples map onto the area around the origin while the primaries map elsewhere. However, the calculation of the inverse data is far from trivial as theory requires infinite time and offset recording. Furthermore regularization issues arise during inversion. We perform the inversion by minimizing the least-squares norm of the misfit function by constraining the $ell_1$ norm of the solution, being the inverse data space. In this way a sparse inversion approach is obtained. We show results on field data with an application to surface multiple removal.
AB - The inverse data space provides a natural separation of primaries and surface-related multiples, as the surface multiples map onto the area around the origin while the primaries map elsewhere. However, the calculation of the inverse data is far from trivial as theory requires infinite time and offset recording. Furthermore regularization issues arise during inversion. We perform the inversion by minimizing the least-squares norm of the misfit function by constraining the $ell_1$ norm of the solution, being the inverse data space. In this way a sparse inversion approach is obtained. We show results on field data with an application to surface multiple removal.
UR - http://hdl.handle.net/10754/577104
UR - http://www.earthdoc.org/publication/publicationdetails/?publication=50425
U2 - 10.3997/2214-4609.20149264
DO - 10.3997/2214-4609.20149264
M3 - Conference contribution
SN - 9781617829666
BT - 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011
PB - EAGE Publications
ER -