Submit an Article
Become a reviewer
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
Go to volume 183

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.

Similar articles

A complex of gravi-, magneto-, electroprospecting аnd geoelectrochemical methods for local prediction and prospecting for hydrocarbon deposits
2009 S. G. Alekseev, S. A. Veshev, N. A. Voroshilov, E. G. Margovich, M. B. Shtokalenko, O. F. Putikov
Investigations of the mechanism of methane desorption in coal saturation with carbon dioxide
2009 A. T. Karmansky
On correlation of element concentrations in spray нaloes of dispersion being fixed with different geoelectrochemical methods
2009 O. F. Putikov, E. G. Margovich
1D-interpretation technology of airborne tem data
2009 A. V. Chernyshev
Karl Ivanovich Bohdanowicz – a scientist аnd pedagogue
2009 Yu. V. Lir
New source of noble corundum in Kenya
2009 L. V. Kulachkov, K. Kamwathi, V. L. Shterhun