### Abstract

A direct interpretation is developed by means of horizontal and vertical derivatives of self-potential anomalies due to point poles and spheres. The vertical derivative is obtained via the Hilbert transform. The depth to the centre of the sphere, the angle of polarization and the multiplicative factor comprising the resistivity of the surrounding medium and current density are evaluated directly by simple mathematical expressions based on the abscissae of the points of intersection of these derivatives. The procedure is illustrated with a theoretical example in each case. -from Authors

Original language | English |
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Title of host publication | Geophysical Transactions - Eotvos Lorand Geophysical Institute of Hungary |

Pages | 151-165 |

Number of pages | 15 |

Volume | 38 |

Edition | 2-3 |

Publication status | Published - 1993 |

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### ASJC Scopus subject areas

- Earth and Planetary Sciences(all)
- Environmental Science(all)

### Cite this

*Geophysical Transactions - Eotvos Lorand Geophysical Institute of Hungary*(2-3 ed., Vol. 38, pp. 151-165)

**Direct interpretation of self-potential anomalies due to spherical structures - a Hilbert transform technique.** / Sundararajan, N.; Chary, M. N.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Geophysical Transactions - Eotvos Lorand Geophysical Institute of Hungary.*2-3 edn, vol. 38, pp. 151-165.

}

TY - CHAP

T1 - Direct interpretation of self-potential anomalies due to spherical structures - a Hilbert transform technique

AU - Sundararajan, N.

AU - Chary, M. N.

PY - 1993

Y1 - 1993

N2 - A direct interpretation is developed by means of horizontal and vertical derivatives of self-potential anomalies due to point poles and spheres. The vertical derivative is obtained via the Hilbert transform. The depth to the centre of the sphere, the angle of polarization and the multiplicative factor comprising the resistivity of the surrounding medium and current density are evaluated directly by simple mathematical expressions based on the abscissae of the points of intersection of these derivatives. The procedure is illustrated with a theoretical example in each case. -from Authors

AB - A direct interpretation is developed by means of horizontal and vertical derivatives of self-potential anomalies due to point poles and spheres. The vertical derivative is obtained via the Hilbert transform. The depth to the centre of the sphere, the angle of polarization and the multiplicative factor comprising the resistivity of the surrounding medium and current density are evaluated directly by simple mathematical expressions based on the abscissae of the points of intersection of these derivatives. The procedure is illustrated with a theoretical example in each case. -from Authors

UR - http://www.scopus.com/inward/record.url?scp=0027871527&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027871527&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0027871527

VL - 38

SP - 151

EP - 165

BT - Geophysical Transactions - Eotvos Lorand Geophysical Institute of Hungary

ER -