TY - JOUR
T1 - A modified Hilbert transform and its application to self potential interpretation
AU - Sundararajan, N.
AU - Srinivas, Y.
PY - 1996/12
Y1 - 1996/12
N2 - Interpretation of SP anomalies due to 2D horizontal circular cylinders is presented using the modified Hilbert transform. The modified Hilbert transform defined here is equal to the conventional Hilbert transform in magnitude but differs in phase. The additional phase associated with the modified Hilbert transform paves the way for a straightforward interpretation of SP anomalies which was not the case with the conventional definition of the Hilbert transform. It is interesting to note that these two versions of the Hilbert transform intersect exactly over the origin. The point of intersection of the amplitudes of these two versions also corresponds to the origin. A theoretical model illustrates the procedure. The effect of random noise on the interpretative process is studied. A field example of 'Sulleymonkey' anomaly in the Ergoni Copper district, Turkey substantiates the applicability of the method.
AB - Interpretation of SP anomalies due to 2D horizontal circular cylinders is presented using the modified Hilbert transform. The modified Hilbert transform defined here is equal to the conventional Hilbert transform in magnitude but differs in phase. The additional phase associated with the modified Hilbert transform paves the way for a straightforward interpretation of SP anomalies which was not the case with the conventional definition of the Hilbert transform. It is interesting to note that these two versions of the Hilbert transform intersect exactly over the origin. The point of intersection of the amplitudes of these two versions also corresponds to the origin. A theoretical model illustrates the procedure. The effect of random noise on the interpretative process is studied. A field example of 'Sulleymonkey' anomaly in the Ergoni Copper district, Turkey substantiates the applicability of the method.
KW - Amplitude and interpretation
KW - Anomaly
KW - Modified Hilbert transform
KW - Origin
KW - Random noise
UR - http://www.scopus.com/inward/record.url?scp=0030438140&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030438140&partnerID=8YFLogxK
U2 - 10.1016/S0926-9851(96)00048-1
DO - 10.1016/S0926-9851(96)00048-1
M3 - Article
AN - SCOPUS:0030438140
SN - 0926-9851
VL - 36
SP - 137
EP - 143
JO - Journal of Applied Geophysics
JF - Journal of Applied Geophysics
IS - 2-3
ER -