Analytical continuation of geophysical fields by continued fractions method
Authors:
About authors
- Ph.D., Dr.Sci. Deputy director «Tellur SPb Inc»
Abstract
The most close to reality geophysical field description is the approximation of the fraction-rational type. In this case the presence of poles in the lower half space corresponds adequately to the denominator zeros. This article contains the theory and algorithm of realization of this conception. The proposed method is called – Continued Fraction Continuation Method.
Область исследования:
Geophysics
Funding:
None
References
- Baker G.A. Pade Approximants / G.A.Baker, Jr, P. Graves-Morris// Addison-Wesley Publishing Co, 1981. 502 p.
- Berezkin V.M. Application of geophysical methods in direct search of oil and gas deposits. / V.M.Berezkin, M.A.Kiritchek, A.A.Kunarev // M.: Nedra, 1978. 222 p.
- Jones W.B. Continued fractions. Analytic theory and applications / W. B. Jones, W. J. Thron // Addison-Wesley Publishing Co, 1980. 414 p.
- Ermokhin K.M. Analytical continuations of geophysical fields into area of anomalies by continued fractions. The roblem of theory and applications of interpretation of gravity, magnetic and electrical fields // IPE ASR, M.: 2007 pp.109-113.
- Ermokhin K.M. Analytical continuations of geophysical fields into area of anomalies by continued fractions method // Geophysics (EAGA), 2007 № 1. pp. 51-55.
- Strakhov V.N. Analytical continuation of potential fields. Gravical Prospection: Handbook of geophysicist. Edited by E.A. Mudretsova and K.E. Veselov. M.: Nedra, 1990. 606 p.
- Suetin P.K. Classical orthogonal polynomials. M.: Nauka, 1979. 415 p.
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