### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 137-143 |

Number of pages | 7 |

Journal | Journal of Applied Geophysics |

Volume | 36 |

Issue number | 2-3 |

Publication status | Published - Dec 1996 |

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### Keywords

- Amplitude and interpretation
- Anomaly
- Modified Hilbert transform
- Origin
- Random noise

### ASJC Scopus subject areas

- Geophysics

### Cite this

*Journal of Applied Geophysics*,

*36*(2-3), 137-143.

**A modified Hilbert transform and its application to self potential interpretation.** / Sundararajan, N.; Srinivas, Y.

Research output: Contribution to journal › Article

*Journal of Applied Geophysics*, vol. 36, no. 2-3, pp. 137-143.

}

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

M3 - Article

AN - SCOPUS:0030438140

VL - 36

SP - 137

EP - 143

JO - Journal of Applied Geophysics

JF - Journal of Applied Geophysics

SN - 0926-9851

IS - 2-3

ER -