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Incorporating topographic variations on electrical resistance tomography | ||
International Journal of Mining and Geo-Engineering | ||
مقاله 11، دوره 57، شماره 3، آذر 2023، صفحه 335-341 اصل مقاله (1.12 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/ijmge.2023.360336.595071 | ||
نویسندگان | ||
Reza Ghanati* ؛ Mahdi Fallahsafari | ||
Institute of Geophysics, University of Tehran, Tehran, Iran. | ||
چکیده | ||
Electrical resistance tomography (ERT) provides images of the electrical properties of subsurface materials leading to the distinction of different Earth’s interior structures. The accuracy of electrical resistance imaging is strongly affected by the topographical variations so that the lack of incorporation of topography information into the inversion process may produce erroneous anomalies in the resistivity section. Owing to the significance of the topography effects on the resistivity measurements, we use a Schwarz-Christoffel transformation approach to incorporate the irregular surface into the 2.5-dimensional forward solution in the framework of the finite difference method. This approach is implemented on synthetic cases to illustrate how the resistivity measurements are dependent on the topographic irregularities. Numerical experiments demonstrate that in the presence of topographic features between current and potential electrodes, the resistivity response does not reflect the realistic resistivity values of the subsurface even in the case of a homogeneous resistivity distribution. | ||
کلیدواژهها | ||
Electrical resistance tomography؛ Finite difference؛ Forward modelling؛ Schwarz-Christoffel transformation؛ Topography | ||
مراجع | ||
[1] M. Loke, J. Chambers, D. Rucker, O. Kuras and P. Wilkinson, "Recent developments in the direct-current geoelectrical imaging method," Journal of Applied Geophysics, vol. 95, pp. 135-156, August 2013.
[2] T. Günther and T. Martin, "Spectral two-dimensional inversion of frequency-domain induced polarization data from a mining slag heap," Journal of Applied Geophysics, vol. 135, pp. 436-448, December 2016.
[3] A. F. Orozco, P. Ciampi, T. Katona, M. Censini, M. Petrangeli Papini, G. P. Deidda and G. Cassiani, "Delineation of hydrocarbon contaminants with multi-frequency complex conductivity imaging," Science of The Total Environment, vol. 768, 10 May 2021.
[4] M. Fallahsafari and R. Ghanati, "DC Electrical Resistance Tomography Inversion," Journal of the Earth and Space Physics, vol. 47, no. 4, pp. 87-98, 5 February 2022.
[5] C. Vachiratienchai, S. Boonchaisuk and W. Siripunvaraporn, "A hybrid finite difference–finite element method to incorporate topography for 2D direct current (DC) resistivity modeling," Physics of the Earth and Planetary Interiors, vol. 183, no. 3-4, pp. 426-434, December 2010.
[6] R. C. Fox, G. W. Hohmann, T. J. Killpack and L. Rijo, "Topographic effects in resistivity and induced‐polarization surveys," Geophysics, vol. 45, no. 1, pp. 75-93, Jan 1980.
[7] T. H. Holcombe and G. R. Jiracek, "Three‐dimensional terrain corrections in resistivity surveys," Geophysics, vol. 49, no. 4, pp. 439-452, Apr 1984.
[8] L. Tong and C. Yang, "Incorporation of topography into two‐dimensional resistivity inversion," Geophysics, vol. 55, no. 3, pp. 354-361, Mar 1990.
[9] M.-J. Yi, J.-H. Kim, Y. Song, S.-J. Cho, S.-H. Chung and J.-H. Suh, "Three-dimensional imaging of subsurface structures using resistivity data," Geophysical Prospecting, vol. 49, no. 4, pp. 483-497, 2001.
[10] Z. Bing and S. A. Greenhalgh, "Finite element three dimensional direct current resistivity modelling: accuracy and efficiency considerations," Geophysical Journal International, vol. 145, no. 3, p. 679–688, June 2001.
[11] C. Rücker, T. Günther and K. Spitzer, "Three-dimensional modelling and inversion of dc resistivity data incorporating topography — I. Modelling," Geophysical Journal International, vol. 166, no. 2, p. 495–505, August 2006.
[12] M. Blome, H. Maurer and K. Schmidt , "Advances in three-dimensional geoelectric forward solver techniques," Geophysical Journal International, vol. 176, no. 3, p. 740–752, March 2009.
[13] Z. Ren and J. Tang, "3D direct current resistivity modeling with unstructured," Geophyssics, vol. 75, no. 1, p. H7–H17, 2010.
[14] S. Penz, H. Chauris, D. Donno and C. Mehl, "Resistivity modelling with topography," Geophysical Journal International, vol. 194, no. 3, p. 1486–1497, September 2013.
[15] E. Erdoğan, I. Demirci and M. E. Candansayar, "Incorporating topography into 2D resistivity modeling using finite-element and finite-difference approaches," Geophysics, vol. 73, no. 3, p. F135–F142, May 2008.
[16] I. Demirci, E. Erdoğan and M. E. Candansayar, "Two-dimensional inversion of direct current resistivity data incorporating topography by using finite difference techniques with triangle cells: Investigation of Kera fault zone in western Crete," Geophysics, vol. 77, no. 1, p. E67–E75, Jan 2012.
[17] R. Ghanati, Y. Azadi and R. Fakhimi, "RESIP2DMODE: A MATLAB-Based 2D Resistivity and Induced Polarization Forward Modeling Software," Iranian Journal of Geophysics, vol. 13, no. 4, pp. 60-78, February 2020.
[18] A. Dey and H. Morrison, "Resistivity modelling for arbitrarily shaped two-dimensional structures," Geophysical Prospecting, vol. 27, no. 1, pp. 106-136, March 1979.
[19] R. J. Spiegel, V. R. Sturdivant, and T. E. Owen, "Modeling resistivity anomalies from localized voids under irregular terrain," Geophysics, vol. 45, no. 7, pp. 1164-1183, Jul 1980.
[20] E. Costamagna, "On the Numerical Inversion of the Schwarz-Christoffel Conformal Transformation," IEEE Transactions on Microwave Theory and Techniques, vol. 35, no. 1, pp. 35 - 40, January 1987.
[21] J. Chuang, Q. Gui and C. Hsiung, "Numerical computation of Schwarz-Christoffel transformation for simply connected unbounded domain," Computer Methods in Applied Mechanics and Engineering, vol. 105, no. 1, pp. 93-109, May 1993.
[22] M. Loke, "Geotomo software," 2019. [Online]. Available: http://geotomosoft.com/ | ||
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