Differential electroprospecting methods provide an efficient technique to search for mineral deposits, but technical difficulties have so far prevented their widespread use. A stable method is available for numerical differentiation of functions defined by tabular data with errors. The method relies on integral splines. The present article applies the integral spline method to process electromagnetic sounding data. The efficiency of the numerical method is analyzed by modeling magnetotelluric fields in twodimensional nonhomogeneous media. The results show that numerical differentiation of profile curves can be efficiently applied for resolution enhancement in magnetotelluric sounding with the purpose of identifying structural features of the medium longitudinally to the Earth’s surface.
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V. I. Dmitriev and N. A. Mershchikova, “Using differential characteristics of the magnetic field to solve the inverse problem of electromagnetic sounding in two-dimensionally nonhomogeneous media,” Fizika Zemli, No. 6, 59–64 (1991).
V. U. Dmitriev, I. V. Dmitrieva, and J. G. Ingtem, “Integral form of the spline function in approximation problems,” Computat. Math. and Model., 24, No. 4, 488–497 (2013).
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Translated from Prikladnaya Matematika i Informatika, No. 50, 2015, pp. 31–37.
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Dmitriev, V.I., Ingtem, J.G., Mershchikova, N.A. et al. Numerical Differentiation of Electroprospecting Data for Resolution Enhancement. Comput Math Model 27, 417–422 (2016). https://doi.org/10.1007/s10598-016-9331-4
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DOI: https://doi.org/10.1007/s10598-016-9331-4