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Vol 183
Pages:
238-241
Download volume:
RUS
Article

Analytical continuation of geophysical fields by continued fractions method

Authors:
K. M. Ermokhin
About authors
  • Ph.D., Dr.Sci. Deputy director «Tellur SPb Inc»
Date submitted:
2008-10-20
Date accepted:
2008-12-22
Date published:
2009-12-11

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
Keywords:
continued fraction QD-algorithm geophysical fields analytical continuation
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References

  1. Baker G.A. Pade Approximants / G.A.Baker, Jr, P. Graves-Morris// Addison-Wesley Publishing Co, 1981. 502 p.
  2. 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.
  3. Jones W.B. Continued fractions. Analytic theory and applications / W. B. Jones, W. J. Thron // Addison-Wesley Publishing Co, 1980. 414 p.
  4. 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.
  5. Ermokhin K.M. Analytical continuations of geophysical fields into area of anomalies by continued fractions method // Geophysics (EAGA), 2007 № 1. pp. 51-55.
  6. 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.
  7. Suetin P.K. Classical orthogonal polynomials. M.: Nauka, 1979. 415 p.

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