Laboratory modelling of self-potential anomalies due to spherical bodies
Mohamad Sadegh Roudsari 1 3 Ali Beitollahi 2
+ Author Affiliations
- Author Affiliations
1 Department of Geophysics, Azad University, Tehran North Branch, Tehran 1667934783, Iran.
2 Building and Housing Research Center, Tehran 1464738831, Iran.
3 Corresponding author. Email: sad_rudi@yahoo.com
Exploration Geophysics 46(4) 320-331 https://doi.org/10.1071/EG13100
Submitted: 12 December 2013 Accepted: 16 October 2014 Published: 8 December 2014
Abstract
The relationship between the self-potential (SP) produced by a polarised sphere and its depth was studied in a laboratory experiment. This was carried out by using a sphere made up of two hemispheres of different materials: one copper and the other zinc. Self-potentials were measured by placing the sphere at a given depth in a rectangular glass tank filled with water. The surface of the water was covered by a sheet with 684 brass electrodes. A sensitive, high impedance digital voltmeter was used to measure potentials from each electrode to a ‘base’. We have measured the SP response of the metallic body and our work shows that SP signals of several millivolts are generated due to the sphere placed within water. The gridded SP data show a clear anomaly over the sphere at shallow depths, and as the depth of the sphere increases, the measured SP signal due to the sphere decreases. An analytical formula is given to determine the maximum depth of the sphere at which the presence of the anomaly can be detected. Responses from other geometries are examined as well.
Key words: geobattery, model parameters, noise, self-potential, shape-factor, sphere.
References
Abdelrahman, E. M., and Sharafeldin, S. M., 1997, A least-squares approach to depth determination from self-potential anomalies caused by horizontal cylinders and spheres: Geophysics, 62, 44–48| A least-squares approach to depth determination from self-potential anomalies caused by horizontal cylinders and spheres:Crossref | GoogleScholarGoogle Scholar |
Abdelrahman, E. M., Soliman, K. S., Abo-Ezz, E. R., Essa, K. S., and El-Araby, T. M., 2009, Quantitative interpretation of self-potential anomalies of some simple geometric bodies: Pure and Applied Geophysics, 166, 2021–2035
| Quantitative interpretation of self-potential anomalies of some simple geometric bodies:Crossref | GoogleScholarGoogle Scholar |
Ahmad, M. U., 1964, A laboratory study of streaming potentials: Geophysical Prospecting, 12, 49–64
| A laboratory study of streaming potentials:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaF2cXksVKrsrs%3D&md5=9d56d7c877398b12a6c394d262c300b6CAS |
Allègre, V., Lehmann, F., Ackerer, P., Jouniaux, L., and Sailhac, P., 2012, A 1-D modelling of streaming potential dependence on water content during drainage experiment in sand: Geophysical Journal International, 189, 285–295
| A 1-D modelling of streaming potential dependence on water content during drainage experiment in sand:Crossref | GoogleScholarGoogle Scholar |
Anderson, L. A., 1984, Self-potential investigations in the Puhimau thermal area, Kilauea Volcano, Hawaii: SEG Expanded Abstracts, Vol. 3, 84–86.
Asfahani, J., Tlas, M., and Hammadi, M., 2001, Fourier analysis for quantitative interpretation of self-potential anomalies caused by horizontal cylinder and sphere: Journal of King Abdulaziz University: Earth Science, 13, 41–54
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 |
Bigalke, J., and Grabner, E. W., 1997, The geobattery model: a contribution to large scale electrochemistry: Electrochimica Acta, 42, 3443–3452
| The geobattery model: a contribution to large scale electrochemistry:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK2sXnsFGlsrg%3D&md5=c9f2abb0ab482447f36ac803d3effd82CAS |
Birch, F. S., 1998, Imaging the water table by filtering self-potential profiles: Ground Water, 36, 779–782
| Imaging the water table by filtering self-potential profiles:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1cXlvFaisbw%3D&md5=542977a1e75bc58b222455dc8998c006CAS |
Canton, M., Anschutz, P., Naudet, V., Molnar, N., Mouret, A., Franceschi, M., Naessens, F., and Poirier, D., 2010, Impact of solid waste disposal on nutrient dynamics in a sandy catchment: Journal of Contaminant Hydrology, 116, 1–15
| Impact of solid waste disposal on nutrient dynamics in a sandy catchment:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXovVyrurc%3D&md5=851157a270483d46e5669ffae47625a0CAS | 20658756PubMed |
Castermant, J, Mendonça, C. A., Revil, A, Trolard, F, Bourrié, G, and Linde, N, 2008, Redox potential distribution inferred from self-potential measurements associated with the corrosion of a burden metallic body: Geophysical Prospecting, 56, 269–282
Cooper, G. R. J., 1997, SPINV: self-potential data modeling and inversion: Computers & Geosciences, 23, 1121–1123
| SPINV: self-potential data modeling and inversion:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1cXjsF2gsLw%3D&md5=b6bc2449b7f28012bfe10a4b27fd2674CAS |
Corwin, R. F., 1984, The self-potential method and its engineering applications: an overview: SEG Expanded Abstracts, Vol. 3, 152–154.
Corwin, R. F., 1990, The self-potential method for environmental and engineering applications, in S. H. Ward, ed., Geotechnical and Environmental Geophysics: Society of Exploration Geophysicists, 127–146.
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 |
Darnet, M., Marquis, G., and Sailhac, P., 2003, Estimating aquifer hydraulic properties from the inversion of surface Streaming Potential (SP) anomalies: Geophysical Research Letters, 30, 1679
| Estimating aquifer hydraulic properties from the inversion of surface Streaming Potential (SP) anomalies:Crossref | GoogleScholarGoogle Scholar |
de Witte, L., 1948, A new method of interpretation of self-potential field data: Geophysics, 13, 600–608
| A new method of interpretation of self-potential field data:Crossref | GoogleScholarGoogle Scholar |
Demidovich, B. P., and Maron, I. A., 1973, Computational mathematics: Mir Publishers.
El-Kaliouby, H. M., and Al-Garni, M. A., 2009, Inversion of self-potential anomalies caused by 2D inclined sheets using neural networks: Journal of Geophysics and Engineering, 6, 29–34
| Inversion of self-potential anomalies caused by 2D inclined sheets using neural networks:Crossref | GoogleScholarGoogle Scholar |
Essa, K., Mehanee, S., and Smith, P. D., 2008, A new inversion algorithm for estimating the best fitting parameters of some geometrically simple body to measured self-potential anomalies: Exploration Geophysics, 39, 155–163
| A new inversion algorithm for estimating the best fitting parameters of some geometrically simple body to measured self-potential anomalies:Crossref | GoogleScholarGoogle Scholar |
Fitterman, D. V., and Corwin, R. F., 1982, Inversion of self potential data from the Cerro-Prieto geothermal field Mexico: Geophysics, 47, 938–945
| Inversion of self potential data from the Cerro-Prieto geothermal field Mexico:Crossref | GoogleScholarGoogle Scholar |
Gibert, D., and Pessel, M., 2001, Identification of sources of potential fields with the continuous wavelet transform: application to self-potential profiles: Geophysical Research Letters, 28, 1863–1866
| Identification of sources of potential fields with the continuous wavelet transform: application to self-potential profiles:Crossref | GoogleScholarGoogle Scholar |
Gibert, D., and Sailhac, P., 2008, Comment on ‘Self-potential signals associated with preferential groundwater flow pathways in sinkholes’ by A. Jardani, J. P. Dupont and A. Revil: Journal of Geophysical Research, 113, B03210
| Comment on ‘Self-potential signals associated with preferential groundwater flow pathways in sinkholes’ by A. Jardani, J. P. Dupont and A. Revil:Crossref | GoogleScholarGoogle Scholar |
Jouniaux, L., Maineult, A., Naudet, V., Pessel, M., and Sailhac, P., 2009, Review of self-potential methods in geophysics: Comptes Rendus Geoscience, 341, 928–936
| Review of self-potential methods in geophysics:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXhsFaqsb7L&md5=2bc620c57c8256c45279aa1be3463acdCAS |
Lewicki, J. L., Connor, C., St-Amand, K., Stix, J., and Spinner, W., 2003, Self-potential, soil CO2 flux, and temperature on Masaya volcano, Nicaragua: Geophysical Research Letters, 30, 1817
| Self-potential, soil CO2 flux, and temperature on Masaya volcano, Nicaragua:Crossref | GoogleScholarGoogle Scholar |
Lile, O. B., 1996, Self potential anomaly over a sulphide conductor tested for use as a current source: Journal of Applied Geophysics, 36, 97–104
| Self potential anomaly over a sulphide conductor tested for use as a current source:Crossref | GoogleScholarGoogle Scholar |
Lowrie, W., 2007, Fundamentals of geophysics (2nd edition): Cambridge University Press.
Maineult, A., Bernabé, Y., and Ackerer, P., 2006a, Detection of advected, reacting redox fronts from selfpotential measurements: Journal of Contaminant Hydrology, 86, 32–52
| Detection of advected, reacting redox fronts from selfpotential measurements:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD28XlsFCitLo%3D&md5=8bcc3c4de56c6f93749c0dfa83459328CAS | 16546291PubMed |
Maineult, A., Jouniaux, L., and Bernabé, Y., 2006b, Influence of the mineralogical composition on the self-potential response to advection of KCl concentration fronts through sand: Geophysical Research Letters, 33, L24311
| Influence of the mineralogical composition on the self-potential response to advection of KCl concentration fronts through sand:Crossref | GoogleScholarGoogle Scholar |
Markiewicz, R. D., Davenport, G. C., and Randall, J. A., 1984, The use of self-potential surveys in geotechnical investigations: SEG Expanded Abstracts, Vol. 3, 164–165.
Mauri, G., Williams-Jones, G., and Saracco, G., 2010, Depth determinations of shallow hydrothermal systems by self-potential and multi-scale wavelet tomography: Journal of Volcanology and Geothermal Research, 191, 233–244
| Depth determinations of shallow hydrothermal systems by self-potential and multi-scale wavelet tomography:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXjt1equ7Y%3D&md5=7877f475a0601aa2011aca0177f8d6b5CAS |
Mauri, G., Williams-Jones, G., Saracco, G., and Zurek, J. M., 2012, A geochemical and geophysical investigation of the hydrothermal complex of Masaya volcano, Nicaragua: Journal of Volcanology and Geothermal Research, 227–228, 15–31
| A geochemical and geophysical investigation of the hydrothermal complex of Masaya volcano, Nicaragua:Crossref | GoogleScholarGoogle Scholar |
Mehanee, S. A., 2014, An efficient regularized inversion approach for self-potential data interpretation of ore exploration using a mix of logarithmic and non-logarithmic model parameters: Ore Geology Reviews, 57, 87–115
| An efficient regularized inversion approach for self-potential data interpretation of ore exploration using a mix of logarithmic and non-logarithmic model parameters:Crossref | GoogleScholarGoogle Scholar |
Mehanee, S., Essa, K., and Smith, P. D., 2011, A rapid technique for estimating the depth and width of a two-dimensional plate from self-potential data: Journal of Geophysics and Engineering, 8, 447–456
| A rapid technique for estimating the depth and width of a two-dimensional plate from self-potential data:Crossref | GoogleScholarGoogle Scholar |
Monteiro Santos, F. A., 2010, Inversion of self-potential of idealized bodies’ anomalies using particle swarm optimization: Computers & Geosciences, 36, 1185–1190
| Inversion of self-potential of idealized bodies’ anomalies using particle swarm optimization:Crossref | GoogleScholarGoogle Scholar |
Naudet, V., Revil, A., Bottero, J. Y., and Begassat, P., 2003, Relationship between self-potential (SP) signals and redox conditions in contaminated groundwater: Geophysical Research Letters, 30, 2091
| Relationship between self-potential (SP) signals and redox conditions in contaminated groundwater:Crossref | GoogleScholarGoogle Scholar |
Naudet, V., Revil, A., Rizzo, E., Bottero, J.-Y., and Bégassat, P., 2004, Groundwater redox conditions and conductivity in a contaminant plume from geoelectrical investigations: Hydrology and Earth System Sciences, 8, 8–22
| Groundwater redox conditions and conductivity in a contaminant plume from geoelectrical investigations:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2MXls1aqsbg%3D&md5=82aae8585f959ba8eff05285c6f874a1CAS |
Nyquist, J. E., and Corry, C. E., 2002, Self-potential: the ugly duckling of environmental geophysics: The Leading Edge, 21, 446–451
| Self-potential: the ugly duckling of environmental geophysics:Crossref | GoogleScholarGoogle Scholar |
Patella, D., 1997, Introduction to ground surface self-potential tomography: Geophysical Prospecting, 45, 653–681
| Introduction to ground surface self-potential tomography:Crossref | GoogleScholarGoogle Scholar |
Patella, D., 2003, Principles of electrography applied to self potential electrokinetic sources and hydrogeological application: Water Resources Research, 39, 5SBH3-2–SBH3-15
Peksen, E., Turker Yasa, T., Kaymanb, A. Y., and Ozkanc, C., 2011, Application of particle swarm optimization on self-potential data: Journal of Applied Geophysics, 75, 305–318
| Application of particle swarm optimization on self-potential data:Crossref | GoogleScholarGoogle Scholar |
Perrone, A., Iannuzzi, A., Lapenna, V., Lorenzo, P., Piscitelli, S., Rizzo, E., and Sdao, F., 2004, High resolution electrical imaging of the Varco d’Izzo earthflow (southern Italy): Journal of Applied Geophysics, 56, 17–29
| High resolution electrical imaging of the Varco d’Izzo earthflow (southern Italy):Crossref | GoogleScholarGoogle Scholar |
Revil, A., Pezard, P. A., and Glover, P. W. J., 1999, Streaming potential in porous media 1. Theory of the zeta potential.: Journal of Geophysical Research, 104, 20021–20031
| Streaming potential in porous media 1. Theory of the zeta potential.:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1MXmsVGrt74%3D&md5=e1a2944c847df0d74f7b4b9e2def4fadCAS |
Revil, A., Naudet, V., Nouzaret, J., and Pessel, M., 2003, Principles of electrography applied to self-potential electrokinetic sources and hydrogeological applications: Water Resources Research, 39, 1114
| Principles of electrography applied to self-potential electrokinetic sources and hydrogeological applications:Crossref | GoogleScholarGoogle Scholar |
Reynolds, M. J., 1997, An introduction to applied and environmental geophysics: John Wiley & Sons Ltd.
Rizzo, E., Suski, B., Revil, A., Straface, S., and Troisi, S., 2004, Self-potential signals associated with pumping tests experiments: Journal of Geophysical Research, 109, B10203
| Self-potential signals associated with pumping tests experiments:Crossref | GoogleScholarGoogle Scholar |
Roudsari, M. S., and Beitollahi, A., 2013, Forward modelling and inversion of self-potential anomalies caused by 2D inclined sheets: Exploration Geophysics, 44, 176–184
| Forward modelling and inversion of self-potential anomalies caused by 2D inclined sheets:Crossref | GoogleScholarGoogle Scholar |
Sailhac, P., and Marquis, G., 2001, Analytic potentials for the forward and inverse modeling of SP anomalies caused by subsurface fluid flow: Geophysical Research Letters, 28, 1851–1854
| Analytic potentials for the forward and inverse modeling of SP anomalies caused by subsurface fluid flow:Crossref | GoogleScholarGoogle Scholar |
Sailhac, P., Gibert, D., and Boukerbout, H., 2009, The theory of the continuous wavelet transform in the interpretation of potential fields: a review: Geophysical Prospecting, 57, 517–525
| The theory of the continuous wavelet transform in the interpretation of potential fields: a review:Crossref | GoogleScholarGoogle Scholar |
Sato, M., and Mooney, H. M., 1960, The electrochemical mechanism of sulphide self-potentials: Geophysics, 25, 226–249
| The electrochemical mechanism of sulphide self-potentials:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaF3cXosFOhtQ%3D%3D&md5=bf8bd02410f4f9ea08cde0c0d592b90aCAS |
Saunders, J. H., Jackson, M. D., and Pain, C. C., 2008, Fluid flow monitoring in oilfields using downhole measurements of electrokinetic potential: Geophysics, 73, E165–E180
| Fluid flow monitoring in oilfields using downhole measurements of electrokinetic potential:Crossref | GoogleScholarGoogle Scholar |
Sivenas, P., and Beales, F. W., 1982, Natural geobatteries associated with sulphide ore deposits. I, theoretical studies: Journal of Geochemical Exploration, 17, 123–143
| Natural geobatteries associated with sulphide ore deposits. I, theoretical studies:Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL3sXhvFOjug%3D%3D&md5=5fa0436d313428635ab92bb2081ccd1bCAS |
Skoog, D. A., West, D. M., Holler, J. F., and Crouch, S. R., 2004, Fundamentals of analytical chemistry (8th edition): Thomson-Brooks/Cole.
Stoll, J., Bigalke, J., and Grabner, E. W., 1995, Electrochemical modeling of self-potential anomalies: Surveys in Geophysics, 16, 107–120
| Electrochemical modeling of self-potential anomalies:Crossref | GoogleScholarGoogle Scholar |
Vichabian, Y., and Morgan, F. D., 2002, Self potentials in cave detection: The Leading Edge, 21, 866–871
| Self potentials in cave detection:Crossref | GoogleScholarGoogle Scholar |
Yungul, S., 1950, Interpretation of spontaneous polarization anomalies caused by spheroidal ore bodies: Geophysics, 15, 237–246
| Interpretation of spontaneous polarization anomalies caused by spheroidal ore bodies:Crossref | GoogleScholarGoogle Scholar |