Kirchhoff and Ohm in action: Solving electric currents in continuous extended media

In this paper we show a simple and versatile computational simulation method for determining electric currents and electric potential in 2D and 3D media with arbitrary distribution of resistivity. One of the highlights of the proposed method is that the simulation space containing the distribution o...

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Autor principal: Dolinko, Andrés Ezequiel
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Institute of Physics Publishing 2018
Acceso en línea:Registro en Scopus
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100 1 |a Dolinko, Andrés Ezequiel 
245 1 0 |a Kirchhoff and Ohm in action: Solving electric currents in continuous extended media 
260 |b Institute of Physics Publishing  |c 2018 
270 1 0 |m Dolinko, A.E.; Universidad de Buenos Aires, Facultad de Agronomía, Departamento de Ingenieria Agricola y Uso de la Tierra, Catedra de FisicaArgentina; email: adolinko@df.uba.ar 
504 |a Dam, J.V., Meulenkamp, J.J., (1967) Geophys. Prospect., 15, pp. 92-115 
504 |a Deno, D.W., (1977) IEEE Trans. Power Appar. Syst., 96, p. 1517 
504 |a Corwin, D.L., Lesch, S.M., (2005) Comput. Electron. Agric., 46, p. 11 
504 |a Dolinko, A.E., Skigin, D.C., (2013) J. Opt. Soc. Am., 30, p. 1746 
504 |a Inchaussandague, M.E., Skigin, D.C., Dolinko, A.E., (2017) Appl. Opt., 56, p. 5112 
504 |a Marques, R., Martin, F., Sorolla, M., (2008) Metamaterial with Negative Parameters, , (Hoboken: Wiley) 
504 |a Alexander, C., Sadiku, M., (1999) Fundamentals of Electric Circuits, , 6th edn (New York: McGraw-Hill) 
504 |a Telford, W.M., Geldart, L.P., Sheriff, R.E., (1990) Applied Geophysics, , (Cambridge: Cambridge University Press) 
504 |a Abbas, I.M., (2015) Int. J. Eng. Tech. Res., 3, p. 256 
504 |a Tabbagh, J., Samouëlian, A., Tabbaghand, A., Cousin, I., (2007) J. Appl. Geophys., 62, p. 313 
504 |a Li, Y., Oldenburg, D.W., (2000) Geophysics, 65, p. 1931 
504 |a Dolinko, A.E., (2008) J. Phys. D: Appl. Phys., 41 (20) 
504 |a Dolinko, A.E., (2009) Eur. J. Phys., 30 (6), p. 1217 
504 |a Li, Y., Oldenburg, D.W., (2001) Inversion for Applied Geophysics: A Tutorial, UBC-Geophysical Inversion Facility, Department of Earth and Ocean Sciences, University of British Columbia, Vancouver, Canada, , http://eos.ubc.ca/research/ubcgif/iag/tutorials/tutorial-v9.pdf 
504 |a Oldenburg, D.W., McGillivray, P.R., Ellis, R.G., (1993) Geophys. J. Int., 114, pp. 12-20 
504 |a Oldenburg, D.W., Li, Y., (1994) Geophysics, 59, pp. 1327-1341 
504 |a Sainato, C.M., Losinno, B.N., Malleville, H.J., (2010) Near Surf. Geophys., 8, p. 163 
504 |a Sainato, C.M., Losinno, B.N., Real time electrical monitoring of the soil infiltration (2012) AGU-Fall-Meeting, , (San Francisco, USA,) 
504 |a Dolinko, A.E., Losinno, B.N., Zunni, N., Lemeillet, F., Analysis of the response of the electrical resistivity tomography method to soil cracks (2016) 22nd European Meeting of Enviromental and Engineering Geophysics, , (Barcelona, Spain) 
506 |2 openaire  |e Política editorial 
520 3 |a In this paper we show a simple and versatile computational simulation method for determining electric currents and electric potential in 2D and 3D media with arbitrary distribution of resistivity. One of the highlights of the proposed method is that the simulation space containing the distribution of resistivity and the points of external applied voltage are introduced by means of digital images or bitmaps, which easily allows simulating any phenomena involving distributions of resistivity. The simulation is based on the Kirchhoff's laws of electric currents and it is solved by means of an iterative procedure. The method is also generalised to account for media with distributions of reactive impedance. At the end of this work, we show an example of application of the simulation, consisting in reproducing the response obtained with the geophysical method of electric resistivity tomography in presence of soil cracks. This paper is aimed at undergraduate or graduated students interested in computational physics and electricity and also researchers involved in the area of continuous electric media, which could find a simple and powerful tool for investigation. © 2018 European Physical Society.  |l eng 
593 |a Universidad de Buenos Aires, Facultad de Agronomía, Departamento de Ingenieria Agricola y Uso de la Tierra, Catedra de Fisica, Buenos Aires, Argentina 
593 |a Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Biodiversidad y Biología Experimental, Buenos Aires, Argentina 
593 |a CONICET, Universidad de Buenos Aires, Instituto de Micología y Botánica (INMIBO), Buenos Aires, Argentina 
690 1 0 |a ELECTRIC RESISTIVITY TOMOGRAPHY 
690 1 0 |a ELECTRICAL RESISTIVITY DISTRIBUTION 
690 1 0 |a ELECTRICAL SIMULATION 
690 1 0 |a PHOTONICS 
690 1 0 |a SOIL CRACKS 
690 1 0 |a CRACKS 
690 1 0 |a ELECTRIC CONDUCTIVITY 
690 1 0 |a ELECTRIC POTENTIAL 
690 1 0 |a GEOPHYSICS 
690 1 0 |a ITERATIVE METHODS 
690 1 0 |a PHOTONICS 
690 1 0 |a STUDENTS 
690 1 0 |a TOMOGRAPHY 
690 1 0 |a ARBITRARY DISTRIBUTION 
690 1 0 |a COMPUTATIONAL PHYSICS 
690 1 0 |a COMPUTATIONAL SIMULATION 
690 1 0 |a ELECTRIC RESISTIVITY TOMOGRAPHY 
690 1 0 |a ELECTRICAL SIMULATION 
690 1 0 |a GEOPHYSICAL METHODS 
690 1 0 |a REACTIVE IMPEDANCE 
690 1 0 |a RESISTIVITY DISTRIBUTIONS 
690 1 0 |a ELECTRIC CURRENTS 
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