Application in geophysics of analytical continuation of the potential function to the lower half-plane
Authors:
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.
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References
- 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.
- 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.
- 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.
- 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.
- Kantorovich L. V. V. and Krylov V. I. Approximate Methods of Higher Analysis. Gostekhteoretizdat, 1941.
- Kantorovich L. V., Krylov V. I., Chernin K.E. Tables for solving boundary value problems. Gostekhteoretizdat, 1956.
- 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.
- Markushevich V. M. Theory of Analytical Functions. Gostekhteoretizdat, 1950.
- Malovichko A. K. Methods of analytical continuation of gravity anomalies and their applications to gravity survey problems. Gostoptekhizdat, 1956.
- Pudovkin I. M. Application of Neumann's problem to solution of some questions of applied magnetometry. Proc. NIIZM, 1950, issue 5.
- Ryzhik I. M. Tables of integrals, sums, series and products. Gostekhteoretizdat, 1948.
- Smirnov V. I. Course of Higher Mathematics. Vol. III, pt. 2. Gostekhtheoretizdat, 1950.
- Sokolov K. P. Geological Interpretation of Magnetic Exploration Data. Gosgeoltekhizdat, 1956.
- Strakhov V. N. Some questions of methodology of interpretation of magnetic anomalies. Proc. of the AS USSR, Series of Geophysics, 1956, No. 12.
- Tyapkin K. F. To the question of graphical calculation of Vzz from the results of Ag measurements. Coll.: Applied Geophysics, 1957, issue 16.
- Tichmarsh E. Introduction to the theory of Fourier integrals. Gostekhteoretizdat, 1948.
- Fikhtenholtz G. M. Course of Differential and Integral Calculus, vol. II, Gostekhteoretizdat, 1948.
- Shvank, O. A. and Liu E. N. Interpretation of Gravitational Observations. Gostoptekhtehizdat, 1947.
- Yakovlev K. P. Mathematical Processing of Measurement Results. Gostekhteoretizdat, 1953.
- Rainbow N. The Interpretation of Torsion Balance Date. World Petroleum Congress. London, 1933.