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Vol 39 Iss. 2
Pages:
7-19
Download volume:
RUS
Article

Methods of mathematical statistics in determining velocity from the hodographs of reflected waves

Authors:
S. V. Krylov
Date submitted:
1960-08-22
Date accepted:
1960-10-17
Date published:
1961-02-14

Abstract

The initial data used in determining the velocity from the hodographs of reflected waves always contain random errors. The influence of these errors can be minimized by using mathematical statistics methods in the processing. In addition, it is possible to evaluate the accuracy of the obtained result.

Область исследования:
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References

  1. Puzyrev N. N. Application of numerical methods of averaging in determining velocities from the hodographs of reflected waves. Applied Geophysics, 1957, iss. 16.
  2. Riznichenko Yu. V. Probable value of the average velocity in the case of a flat reflecting surface. Proc. ACGE, 1938, iss. 12.
  3. Urupov A. K. About joint averaging of systems of hodographs at determination of effective velocity. Exploration and Field Geophysics, 1957, iss. 20.
  4. Bugailo V. A. Determination of average velocity by methods of sum, difference and constant difference. Applied Geophysics, 1947, iss. 3.
  5. Glotov O. K. Method of difference hodograph for calculation of effective velocities. Exploration and Field Geophysics, 1954, iss. 9.
  6. Gurvich I. I. Seismic Exploration. Gosgeoltekhizdat, 1954.
  7. Shushakov S. D. Methods of Determination of average velocities from the hodographs of reflected waves. Applied Geophysics, 1948, iss. 4.
  8. Andreev B. A. Layered zonality of physical properties of sedimentary rocks and its connection with the structures of platform regions. Soviet Geology, 1957, iss. 61.
  9. Khotimskiy V. I. Equalization of statistical series by the method of least squares (Chebyshev method). PH CDI ACPE, 1925.
  10. Krylov A. N. Lectures on Approximate Calculations. Gostekhizdat, 1954.
  11. Shilov P. I. Method of Least Squares. Geodesizdat, 1941.
  12. Jahnke E., Emde F. Tables of Functions with Formulas and Curves. Gostekhizdat, 1949.

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