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Vol 50 Iss. 2
Pages:
53-68
Download volume:
RUS
Article

Mathematical Programming in Geophysics

Authors:
S. V. Shalaev
Date submitted:
1965-08-27
Date accepted:
1965-10-04
Date published:
1966-02-14

Abstract

This paper provides the justification of the method of approximation of analytical expressions of geophysical fields by rational fractions and some other expressions. The method is based on the use of mathematical programming, mainly linear programming. The paper summarizes the experience of interpretation by this method of magnetic and gravitational anomalies on a computing machine “Ural-2”, which can operate in floating point mode ...

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References

  1. Bulakh, E. G. and Yunkov, A. A. On the accuracy of determining the densities of anomalous masses by the grid method. RAS USSR, No. I, 1958.
  2. Gomori R. E. and Baumol V. I. Integer programming and estimation. In the collection: Numerical Methods of Optimal Planning. Econ.-Matem. ser. Siberian Branch, AS USSR, vol. 1, 1962.
  3. Zoytendijk G. Methods of Possible Directions. FL, 1963.
  4. Kantorovich L. V. About some new approaches to computational methods and processing of observations. Sib. Math. J., vol. III, No. 5, 1962.
  5. Kagan B. M. and Ter-Mikaelian T. M. Solution of engineering tasks on digital computing machines. Energia Publishing House, 1964.
  6. Logachev A. A. Course of Magnetic Prospecting. Gostoptekhizdat, 1962.
  7. Milne V. E. Numerical Analysis. IL, 1956.
  8. Rubinstein G. Sh. About uniform approximation of continuous functions. Advances in the Mathematical Sciences, vol. 15, iss. 3, 1960.
  9. Shalaev S. V. About quantitative geologic interpretation of complex magnetic anomalies on electronic digital machines. Applied Geophysics, vol. 31, 1961.
  10. Shalaev S. V. On the Use of Special Points of Potential Fields in the Interpretation of Geophysical Data. Applied Geophysics, vol. 33, 1962.
  11. Yudin D. B. and Golshtein E. G. Linear Programming. Fizmatgiz, 1963.

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