Register      Login
Exploration Geophysics Exploration Geophysics Society
Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

A simple method for depth determination from self-potential anomalies due to two superimposed structures

El-Sayed M. Abdelrahman 1 2 Eid R. Abo-Ezz 1 Tarek M. El-Araby 1 Khalid S. Essa 1
+ Author Affiliations
- Author Affiliations

1 Geophysics Department, Faculty of Science, Cairo University, Giza 12613, Egypt.

2 Corresponding author. Email: sayed5005@yahoo.com

Exploration Geophysics 47(4) 308-314 https://doi.org/10.1071/EG15012
Submitted: 24 July 2014  Accepted: 26 June 2015   Published: 22 July 2015

Abstract

In this paper, we develop a method to determine the depth to two superimposed sources from a self-potential anomaly profile. The method is based on finding a relationship between the depths to the two superimposed structures from a combination of observations at symmetric points with respect to the coordinate of the sources’ centre. Formulae have been derived for two classes of geometric sources: spheres and cylinders. Equations are also formulated to estimate the other model parameters, including the polarisation angle and electric dipole moment of both structures. The proposed method is tested both on synthetic data with and without random noise, as well as real self-potential data from a set of field data collected in Turkey. In all cases, the model parameters obtained are in good agreement with the actual ones.

Key words: depth-curves method, interpretation, noise, SP data, superimposed structures.


References

Abdelrahman, E. M., and Sharafeldin, S. M., 1997, A least squares approach to depth determination from residual self-potential anomalies caused by horizontal cylinders and spheres: Geophysics, 62, 44–48
A least squares approach to depth determination from residual self-potential anomalies caused by horizontal cylinders and spheres:Crossref | GoogleScholarGoogle Scholar |

Abdelrahman, E. M., Ammar, A. A., Sharafeldin, S. M., and Hassanein, H. I., 1997, Shape and depth solutions from numerical horizontal self-potential gradients: Journal of Applied Geophysics, 37, 31–43
Shape and depth solutions from numerical horizontal self-potential gradients:Crossref | GoogleScholarGoogle Scholar |

Abdelrahman, E. M., El-Araby, H. M., El-Araby, T. M., and Essa, K. S., 2002, A new approach to depth determination from magnetic anomalies: Geophysics, 67, 1524–1531
A new approach to depth determination from magnetic anomalies:Crossref | GoogleScholarGoogle Scholar |

Abdelrahman, E. M., Essa, K. S., Abo-Ezz, E. R., and Soliman, K. S., 2006, Self-potential data interpretation using standard deviations of depths computed from moving-average residual anomalies: Geophysical Prospecting, 54, 409–423
Self-potential data interpretation using standard deviations of depths computed from moving-average residual anomalies:Crossref | GoogleScholarGoogle Scholar |

Abdelrahman, E. M., Essa, K. S., Abo-Ezz, E. R., Sultan, M., Sauck, W. A., and Gharieb, A. G., 2008, New least-square algorithm for model parameters estimation using self-potential anomalies: Computers & Geosciences, 34, 1569–1576
New least-square algorithm for model parameters estimation using self-potential anomalies:Crossref | GoogleScholarGoogle Scholar |

Abdelrahman, E. M., El-Araby, T. M., and Essa, K. S., 2009, Shape and depth determinations from second moving average residual self-potential anomalies: Journal of Geophysics and Engineering, 6, 43–52
Shape and depth determinations from second moving average residual self-potential anomalies:Crossref | GoogleScholarGoogle Scholar |

Anderson, L. A., 1984, Self-potential investigations in the Puhimau thermal area, Kilauea Volcano, Hawaii: SEG Technical Program Expanded Abstracts, 3, 84–86.

Banerjee, B., 1971, Quantitative interpretation of self-potential anomalies of some specific geometric bodies: Pure and Applied Geophysics, 90, 138–152
Quantitative interpretation of self-potential anomalies of some specific geometric bodies:Crossref | GoogleScholarGoogle Scholar |

Bhattacharya, B. B., and Roy, N., 1981, A note on the use of nomograms for self-potential anomalies: Geophysical Prospecting, 29, 102–107
A note on the use of nomograms for self-potential anomalies:Crossref | GoogleScholarGoogle Scholar |

Corwin, R. F., and Hoover, D. B., 1979, The self-potential method in geothermal exploration: Geophysics, 44, 226–245
The self-potential method in geothermal exploration:Crossref | GoogleScholarGoogle Scholar |

Demidovich, B. P., and Maron, I. A., 1973, Computational mathematics: Mir Publishers.

El-Araby, H. M., 2004, A new method for complete quantitative interpretation of self-potential anomalies: Journal of Applied Geophysics, 55, 211–224
A new method for complete quantitative interpretation of self-potential anomalies:Crossref | GoogleScholarGoogle Scholar |

Fitterman, D. V., 1979, Calculations of self-potential anomalies near vertical contacts: Geophysics, 44, 195–205
Calculations of self-potential anomalies near vertical contacts:Crossref | GoogleScholarGoogle Scholar |

Markiewicz, R. D., Davenport, G. C., and Randall, J. A., 1984, The use of self-potential surveys in geotechnical investigations: SEG Technical Program Expanded Abstracts, 3, 164–165.

Schiavone, D., and Quarto, R., 1992, Cavities detection using the self-potential method: 54th Meeting of the European Association of Exploration Geophysicists, Abstracts, 362–363.

Spencer, E. W., 1977, Introduction to structure of the earth: McGraw-Hill, Inc.

Stanley, J. M., 1977, Simplified magnetic interpretation of the geologic contact and thin dike: Geophysics, 42, 1236–1240
Simplified magnetic interpretation of the geologic contact and thin dike:Crossref | GoogleScholarGoogle Scholar |

Weiss, L. E., 1959, Geometry of superimposed folding: Geological Society of America Bulletin, 70, 91–106
Geometry of superimposed folding:Crossref | GoogleScholarGoogle Scholar |

Yüngül, S., 1950, Interpretation of spontaneous polarization anomalies caused by spherical ore bodies: Geophysics, 15, 237–246
Interpretation of spontaneous polarization anomalies caused by spherical ore bodies:Crossref | GoogleScholarGoogle Scholar |