### Abstract

The Hilbert transform H(x) applicable to vertical (ΔZ), horizontal (ΔH), and total (ΔT) magnetic anomalies due to a thin dike of infinite depth extent is derived from the generalised expression of magnetic effect F(x). The depth and dip of the dike is extracted by a simple procedure making use of F(x) and H(x). A modified version of the amplitude of the analytic signal is given to locate the origin. The abscissa of the point of intersection of F(x) and the discrete Hilbert transform H(1.Δx) directly yields the depth to the top. An example for each case is considered theoretically to illustrate the process. Applicability of the method is examined on the vertical component of the well-known magnetic anomaly at Kiirunavaara in northern Sweden, originally described by Von Carlheim Gyllenskjold, as well as on total magnetic anomaly of Bensons Mines, U.S.A.

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

Pages (from-to) | 557-566 |

Number of pages | 10 |

Journal | Pure and Applied Geophysics |

Volume | 123 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jul 1985 |

### Fingerprint

### Keywords

- Abscissa
- Amplitude
- Analytical signal
- Discrete Hilbert transform
- Magnetic anomalies

### ASJC Scopus subject areas

- Geophysics
- Geochemistry and Petrology
- Earth and Planetary Sciences(all)
- Environmental Science(all)

### Cite this

*Pure and Applied Geophysics*,

*123*(4), 557-566. https://doi.org/10.1007/BF00877453

**Hilbert transform in the interpretation of magnetic anomalies of various components due to a thin infinite dike.** / Sundararajan, N.; Mohan, N. L.; Raghava, M. S Vijaya; Rao, S. V Seshagiri.

Research output: Contribution to journal › Article

*Pure and Applied Geophysics*, vol. 123, no. 4, pp. 557-566. https://doi.org/10.1007/BF00877453

}

TY - JOUR

T1 - Hilbert transform in the interpretation of magnetic anomalies of various components due to a thin infinite dike

AU - Sundararajan, N.

AU - Mohan, N. L.

AU - Raghava, M. S Vijaya

AU - Rao, S. V Seshagiri

PY - 1985/7

Y1 - 1985/7

N2 - The Hilbert transform H(x) applicable to vertical (ΔZ), horizontal (ΔH), and total (ΔT) magnetic anomalies due to a thin dike of infinite depth extent is derived from the generalised expression of magnetic effect F(x). The depth and dip of the dike is extracted by a simple procedure making use of F(x) and H(x). A modified version of the amplitude of the analytic signal is given to locate the origin. The abscissa of the point of intersection of F(x) and the discrete Hilbert transform H(1.Δx) directly yields the depth to the top. An example for each case is considered theoretically to illustrate the process. Applicability of the method is examined on the vertical component of the well-known magnetic anomaly at Kiirunavaara in northern Sweden, originally described by Von Carlheim Gyllenskjold, as well as on total magnetic anomaly of Bensons Mines, U.S.A.

AB - The Hilbert transform H(x) applicable to vertical (ΔZ), horizontal (ΔH), and total (ΔT) magnetic anomalies due to a thin dike of infinite depth extent is derived from the generalised expression of magnetic effect F(x). The depth and dip of the dike is extracted by a simple procedure making use of F(x) and H(x). A modified version of the amplitude of the analytic signal is given to locate the origin. The abscissa of the point of intersection of F(x) and the discrete Hilbert transform H(1.Δx) directly yields the depth to the top. An example for each case is considered theoretically to illustrate the process. Applicability of the method is examined on the vertical component of the well-known magnetic anomaly at Kiirunavaara in northern Sweden, originally described by Von Carlheim Gyllenskjold, as well as on total magnetic anomaly of Bensons Mines, U.S.A.

KW - Abscissa

KW - Amplitude

KW - Analytical signal

KW - Discrete Hilbert transform

KW - Magnetic anomalies

UR - http://www.scopus.com/inward/record.url?scp=0022232433&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022232433&partnerID=8YFLogxK

U2 - 10.1007/BF00877453

DO - 10.1007/BF00877453

M3 - Article

VL - 123

SP - 557

EP - 566

JO - Pure and Applied Geophysics

JF - Pure and Applied Geophysics

SN - 0033-4553

IS - 4

ER -