### Abstract

The equation of the Sundararajan transform is defined in relation to the Hilbert transform. It is to be emphasised here that the magnitude of the Hilbert transform and Sundararajan transform are one and the same with a phase difference of 270°. The transforms of these two versions of the gravity anomaly due to an inclined sheet of infinite depth extent and the vertical magnetic anomaly due to 2-D horizontal circular cylinder are derived. Interpretation of the gravity and magnetic anomalies with the use of the Sundararajan transform rather than the Hilbert transform is straightforward. It is interesting to note that these two transforms intersect exactly over the origin of the causative body. The point of intersection of the amplitudes of the analytic signal of these two versions also corresponds to origin of the body. A theoretical model illustrates the procedure in each case. The effect of random noise on the interpretative process is studied. Analysis of two field examples pertaining to (a) gravity anomaly across the Mobrun ore body and (b) magnetic anomaly over a narrow band of quartz magnetite deposit near Karimnagar, Andhra Pradesh, India shows the applicability of the method.

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

Pages (from-to) | 622-628 |

Number of pages | 7 |

Journal | Exploration Geophysics |

Volume | 31 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2000 |

### Fingerprint

### Keywords

- Analytic signal
- Gravity anomaly
- Hilbert transform
- Interpretation
- Magnetic anomaly
- Random noise
- Source origin

### ASJC Scopus subject areas

- Geophysics
- Geology

### Cite this

*Exploration Geophysics*,

*31*(4), 622-628. https://doi.org/10.1071/EG00622

**Sundararajan Transform - a tool to interpret potential field anomalies.** / Sundararajan, N.; Srinivas, Y.; Rao, T. Laxminarayana.

Research output: Contribution to journal › Article

*Exploration Geophysics*, vol. 31, no. 4, pp. 622-628. https://doi.org/10.1071/EG00622

}

TY - JOUR

T1 - Sundararajan Transform - a tool to interpret potential field anomalies

AU - Sundararajan, N.

AU - Srinivas, Y.

AU - Rao, T. Laxminarayana

PY - 2000

Y1 - 2000

N2 - The equation of the Sundararajan transform is defined in relation to the Hilbert transform. It is to be emphasised here that the magnitude of the Hilbert transform and Sundararajan transform are one and the same with a phase difference of 270°. The transforms of these two versions of the gravity anomaly due to an inclined sheet of infinite depth extent and the vertical magnetic anomaly due to 2-D horizontal circular cylinder are derived. Interpretation of the gravity and magnetic anomalies with the use of the Sundararajan transform rather than the Hilbert transform is straightforward. It is interesting to note that these two transforms intersect exactly over the origin of the causative body. The point of intersection of the amplitudes of the analytic signal of these two versions also corresponds to origin of the body. A theoretical model illustrates the procedure in each case. The effect of random noise on the interpretative process is studied. Analysis of two field examples pertaining to (a) gravity anomaly across the Mobrun ore body and (b) magnetic anomaly over a narrow band of quartz magnetite deposit near Karimnagar, Andhra Pradesh, India shows the applicability of the method.

AB - The equation of the Sundararajan transform is defined in relation to the Hilbert transform. It is to be emphasised here that the magnitude of the Hilbert transform and Sundararajan transform are one and the same with a phase difference of 270°. The transforms of these two versions of the gravity anomaly due to an inclined sheet of infinite depth extent and the vertical magnetic anomaly due to 2-D horizontal circular cylinder are derived. Interpretation of the gravity and magnetic anomalies with the use of the Sundararajan transform rather than the Hilbert transform is straightforward. It is interesting to note that these two transforms intersect exactly over the origin of the causative body. The point of intersection of the amplitudes of the analytic signal of these two versions also corresponds to origin of the body. A theoretical model illustrates the procedure in each case. The effect of random noise on the interpretative process is studied. Analysis of two field examples pertaining to (a) gravity anomaly across the Mobrun ore body and (b) magnetic anomaly over a narrow band of quartz magnetite deposit near Karimnagar, Andhra Pradesh, India shows the applicability of the method.

KW - Analytic signal

KW - Gravity anomaly

KW - Hilbert transform

KW - Interpretation

KW - Magnetic anomaly

KW - Random noise

KW - Source origin

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U2 - 10.1071/EG00622

DO - 10.1071/EG00622

M3 - Article

VL - 31

SP - 622

EP - 628

JO - Exploration Geophysics

JF - Exploration Geophysics

SN - 0071-3473

IS - 4

ER -