Linear programming in determining the elements of geologic objects occurrence
Authors:
Abstract
There are many ways of quantitative geologic interpretation of gravitational and magnetic fields. Let us consider the fitting methods that can be used to determine the elements of occurrence of geologic objects that create complex gravity and magnetic anomalies. In these methods, the curve obtained by field measurements is compared with the curves, which for bodies of regular geometric shape are calculated by appropriate formulas. In the case of irregularly shaped bodies, such curves have to be found using special templates. Finally, modeling devices can be used for this purpose.
Область исследования:
(Archived) Geology and geophsics
Funding:
None
References
- Bulavsky V. A. Iterative method for solving linear programming problems. RAS USSR DAN SSSR, vol. 137, 1961, No. 2.
- Gutenmacher L. I. Statistical information machines of a new type. Vestnik AS USSR Vestnik AN SSSR, 1955, No. 10.
- Kantorovich L. V. Economic calculation of the best use of resources. PH of the AS USSR Izdatel'stvo AN SSSR, 1959.
- Kitov A. I. and Krinitsky N. A. Electronic digital machines. Fizmatgiz, 1959.
- Klushin I. G. Investigation of the Distribution of Sources of Gravitational and Magnetic Anomalies by Depth. Proc. AS USSR. Geophys. series Izvestiya AN SSSR. Seriya geofizicheskaya, 1959, No. 9.
- Logachev A. A. Course of Magnetic Prospecting. Gostoptekhizdat, 1962.
- Linear Inequalities and Related Questions. Coll. ed. by L. V. Kantorovich Sbornik pod redaktsiey L. V. Kantorovicha. PH of Foreign Literature Izdatel'stvo inostrannoy literatury, 1959.
- Malovichko A. K. Methods of analytical continuation of gravity anomalies and their applications to gravity survey problems. Gostoptekhizdat, 1956.
- Malovichko A. K. About transformation of three-dimensional gravity anomalies. K. About transformation of three-dimensional anomalous fields into two-dimensional ones when solving problems on gravitational and magnetic anomalies. Inform. Coll.: Informatsionnyy sbornik VITRa, 1957, No. 8.
- Nepomnyashchikh A. A. Logarithmic gravitational sticks. Proc. of the Academy of Sciences of the USSR. Series Geophys. Izvestiya Akademii Nauk SSSR. Seriya geofizicheskaya, 1952, No. 1.
- Polyakova N. V. Calculation of elements of occurrence of magnetized bodies by field measurements. Coll.: “Geophysical Exploration of Ore Deposits” Sbornik: "Geofizicheskaya razvedka rudnykh mestorozhdeniy". Gosgeolizdat, 1953.
- Application of Mathematics in Economic Research. Collected under the editorship of V. S. Nemchinov Sbornik pod redaktsiey V. S. Nemchinova. Socecgiz, 1959.
- Rubinstein G. Sh. About uniform approximation of a continuous function by means of generalized rational functions. Coll.: Advances of Mathematical Sciences Sbornik: "Uspekhi matematicheskikh nauk", vol. 15, vol. 3, 1960.
- Semendyaev K. A. Empirical formulas. GTTI, 1938.
- Tyapkin K.F. On the Use of Flat Problem Formulas for Interpretation of Gravitational Anomalies Caused by Geological Objects Finite in Extension. DAN UkrSSR Doklady AN Ukr. SSR, 1960, No. 8.
- Tyapkin K. F. Interpretation of gravity anomalies caused by geologic objects finite in extent, part. 1. Gosgeoltekhizdat, 1961.
- Troshkov G. A. To the question of interpretation of magnetic gravity anomalies of three-dimensional bodies. Exploration' and Protection of Subsoil Razvedka i okhrana nedr, 1960, No. 12.
- Khalfin L. A. Information Theory of Interpretation of Geophysical Investigations. RAS USSR DAN SSSR, vol. 122, 1958, No. 6.
- Khotimsky V. Equalization of statistical series by the method of least squares. Gosstatizdat, 1959.
- Shalaev S. V. About determination of the elements of occurrence of magnetized bodies. Coll.: “Geophysical Methods of Exploration in Kazakhstan” Sbornik: "Geofizicheskie metody razvedki v Kazakhstane", No. 3. Gorizdat, 1961.
- Shalaev S. V. About quantitative geologic interpretation of complex magnetic anomalies on electronic digital machines. “Applied Geophysics” Prikladnaya geofizika, issue 31, 1961.
- Shalaev S. V. On the use of special points of potential fields in the interpretation of geophysical data. “Applied Geophysics” Prikladnaya geofizika, issue 33, 1962.
- Shalaev S. V. About approximation of curves given as a graph by rational fractions. Coll.: “Problems of Ore Geophysics” Sbornik: Voprosy rudnoy geofiziki, vol. 3, 1963.
- Hall D. Trans. Amer. Geophys. Union, 1958, No. 1.
- Zidogov D. Reports Bolgarian Akademy of Sciences Dokladi B"lgarska Akademiya na Naukite, vol. 11, 1958, No. 1.
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