Submit an Article
Become a reviewer
Vol 36 Iss. 2
Pages:
131-151
Download volume:
RUS
Article

Application in geophysics of analytical continuation of the potential function to the lower half-plane

Authors:
S. V. Shalaev
Date submitted:
1958-08-03
Date accepted:
1958-10-29
Date published:
1959-04-14

Abstract

In the geologic interpretation of geophysical observations, it is often necessary to calculate the potential function in the lower half-plane from its values determined by measurements at the ground surface. This problem was solved by many researchers G. Renbow, for example, realized analytical continuation to the lower half-plane of the second derivative of the gravitational potential, with the help of which he determined the interface between two media of different densities.

Область исследования:
(Archived) Without section
Go to volume 36

References

  1. Andreev B. A. Calculations of spatial distribution of potential fields and their use in exploration geophysics. Proc. of the AS USSR, series of geography and geophysics, 1949, № 3.
  2. Andreev B. A. Calculations of Spatial Distribution of Potential Fields and Their Use in Exploration Geophysics. Proc. of the AS USSR, series of geophysics, 1952, No. 2.
  3. Andreev B. A. Calculations of Spatial Distribution of Potential Fields and Their Use in Exploration Geophysics. Proc. of the USSR Academy of Sciences, Geophysical Series, 1954, No. 1.
  4. amorov A. A. Determination of Body Form by Derivatives of External Gravitational Potential. Proc. of the AS USSR, Series of Geography and Geophysics, 1942, No. 1-2.
  5. Kantorovich L. V. V. and Krylov V. I. Approximate Methods of Higher Analysis. Gostekhteoretizdat, 1941.
  6. Kantorovich L. V., Krylov V. I., Chernin K.E. Tables for solving boundary value problems. Gostekhteoretizdat, 1956.
  7. Malkin N. R. Dependence between gradients of the Newtonian potential on the plane in application to the study of gravitational anomalies. Proc. of the AS USSR, Series VII, Department of Physics and Mathematics, 1930, No. 8.
  8. Markushevich V. M. Theory of Analytical Functions. Gostekhteoretizdat, 1950.
  9. Malovichko A. K. Methods of analytical continuation of gravity anomalies and their applications to gravity survey problems. Gostoptekhizdat, 1956.
  10. Pudovkin I. M. Application of Neumann's problem to solution of some questions of applied magnetometry. Proc. NIIZM, 1950, issue 5.
  11. Ryzhik I. M. Tables of integrals, sums, series and products. Gostekhteoretizdat, 1948.
  12. Smirnov V. I. Course of Higher Mathematics. Vol. III, pt. 2. Gostekhtheoretizdat, 1950.
  13. Sokolov K. P. Geological Interpretation of Magnetic Exploration Data. Gosgeoltekhizdat, 1956.
  14. Strakhov V. N. Some questions of methodology of interpretation of magnetic anomalies. Proc. of the AS USSR, Series of Geophysics, 1956, No. 12.
  15. Tyapkin K. F. To the question of graphical calculation of Vzz from the results of Ag measurements. Coll.: Applied Geophysics, 1957, issue 16.
  16. Tichmarsh E. Introduction to the theory of Fourier integrals. Gostekhteoretizdat, 1948.
  17. Fikhtenholtz G. M. Course of Differential and Integral Calculus, vol. II, Gostekhteoretizdat, 1948.
  18. Shvank, O. A. and Liu E. N. Interpretation of Gravitational Observations. Gostoptekhtehizdat, 1947.
  19. Yakovlev K. P. Mathematical Processing of Measurement Results. Gostekhteoretizdat, 1953.
  20. Rainbow N. The Interpretation of Torsion Balance Date. World Petroleum Congress. London, 1933.

Similar articles

Method of zinc and lead determination from a single sample by drop analysis method
1959 N. F. Maiorov
Possibility of reducing the time of spectrum photographing when analyzing metallometric samples
1959 V. V. Khokhlov
Some spiriferids from the namurian deposits of the Eastern slope of the Urals
1959 S. N. Guseva
Sampling of the Kukisvumchorr apatite deposit by ore type
1959 Z. F. Bulanova
Study of interaction of sulfide minerals with various reagents by potentiometric method
1959 G. V. Illyuvieva
Sampling by ore types
1959 N. V. Ivanov