In this paper we present an improvement to the local wavenumber method able to overcome its instability caused by the use of high-order derivatives. We make use of the stable properties of the Depth from EXtreme Points (DEXP) method, in which the depth to the source is determined at the extreme points of the field scaled with a power law of altitude. As DEXP transformation is applied to the local wavenumber function, we show that the scaling law is independent on the structural index. This allows the technique to be fully automatic, so that it may be implemented as a very fast imaging method, mapping every source, of different homogeneity degree, at the correct depth.
Improving the Local Wavenumber Method by the DEXP Transformation / AHMED ABBAS AHMED, Mahmoud; Fedi, Maurizio; Florio, Giovanni. - 2014:1(2014), pp. 1-5. ( 76th EAGE Conference and Exhibition 2014Proceedings 76th EAGE Conference and Exhibition 2014 Amsterdam 2014) [10.3997/2214-4609.20141549].
Improving the Local Wavenumber Method by the DEXP Transformation
AHMED ABBAS AHMED, MAHMOUD;FEDI, MAURIZIO;FLORIO, GIOVANNI
2014
Abstract
In this paper we present an improvement to the local wavenumber method able to overcome its instability caused by the use of high-order derivatives. We make use of the stable properties of the Depth from EXtreme Points (DEXP) method, in which the depth to the source is determined at the extreme points of the field scaled with a power law of altitude. As DEXP transformation is applied to the local wavenumber function, we show that the scaling law is independent on the structural index. This allows the technique to be fully automatic, so that it may be implemented as a very fast imaging method, mapping every source, of different homogeneity degree, at the correct depth.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
