### Abstract

The first-order horizontal and vertical derivatives of the self-potential (SP) anomalies caused by a 2-D inclined sheet of infinite horizontal extent are analysed to obtain the depth h, the half width a, the inclination α, and the constant term containing the resistivity ρ and the current density I of the surrounding medium. The vertical derivative of the SP anomaly is obtained from the horizontal derivative via the Hilbert transform, which is also redefined to yield a modified version, a 270°phase shift of the original function. The point of intersection of these two Hilbert transforms corresponds to the origin. The amplitudes constitute a similar case. The practicability of the method is tested on a theoretical example as well as on field data from the Surda area of Rakha mines, Singhbum belt, Bihar, India. The results agree well with those of other methods in use. Since the procedure is based on a simple mathematical expression involving the real roots of the derivatives, it can easily be automated.

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

Pages (from-to) | 1551-1555 |

Number of pages | 5 |

Journal | Geophysics |

Volume | 63 |

Issue number | 5 |

Publication status | Published - Sep 1998 |

### Fingerprint

### Keywords

- Analytical method
- Dip
- Electrical method

### ASJC Scopus subject areas

- Geochemistry and Petrology
- Geophysics

### Cite this

*Geophysics*,

*63*(5), 1551-1555.

**An analytical method to interpret self-potential anomalies caused by 2-D inclined sheets.** / Sundararajan, N.; Srinivasa Rao, P.; Sunitha, V.

Research output: Contribution to journal › Article

*Geophysics*, vol. 63, no. 5, pp. 1551-1555.

}

TY - JOUR

T1 - An analytical method to interpret self-potential anomalies caused by 2-D inclined sheets

AU - Sundararajan, N.

AU - Srinivasa Rao, P.

AU - Sunitha, V.

PY - 1998/9

Y1 - 1998/9

N2 - The first-order horizontal and vertical derivatives of the self-potential (SP) anomalies caused by a 2-D inclined sheet of infinite horizontal extent are analysed to obtain the depth h, the half width a, the inclination α, and the constant term containing the resistivity ρ and the current density I of the surrounding medium. The vertical derivative of the SP anomaly is obtained from the horizontal derivative via the Hilbert transform, which is also redefined to yield a modified version, a 270°phase shift of the original function. The point of intersection of these two Hilbert transforms corresponds to the origin. The amplitudes constitute a similar case. The practicability of the method is tested on a theoretical example as well as on field data from the Surda area of Rakha mines, Singhbum belt, Bihar, India. The results agree well with those of other methods in use. Since the procedure is based on a simple mathematical expression involving the real roots of the derivatives, it can easily be automated.

AB - The first-order horizontal and vertical derivatives of the self-potential (SP) anomalies caused by a 2-D inclined sheet of infinite horizontal extent are analysed to obtain the depth h, the half width a, the inclination α, and the constant term containing the resistivity ρ and the current density I of the surrounding medium. The vertical derivative of the SP anomaly is obtained from the horizontal derivative via the Hilbert transform, which is also redefined to yield a modified version, a 270°phase shift of the original function. The point of intersection of these two Hilbert transforms corresponds to the origin. The amplitudes constitute a similar case. The practicability of the method is tested on a theoretical example as well as on field data from the Surda area of Rakha mines, Singhbum belt, Bihar, India. The results agree well with those of other methods in use. Since the procedure is based on a simple mathematical expression involving the real roots of the derivatives, it can easily be automated.

KW - Analytical method

KW - Dip

KW - Electrical method

UR - http://www.scopus.com/inward/record.url?scp=0032172368&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032172368&partnerID=8YFLogxK

M3 - Article

VL - 63

SP - 1551

EP - 1555

JO - Geophysics

JF - Geophysics

SN - 0016-8033

IS - 5

ER -