Abstract
Results of applying some concepts of differential geometry in describing deformation of a surface are discussed. Using an uplift of the Kuibyshev district as an example, we show the effects of the introduced characteristics areally and in section, their geological significance, and the possibility of using them to reconstruct the developmental history of the uplift. The problem of difficulties in computation, arising during attempted solution of the system of linear equations obtained by the method of least squares when finding an analytical representation of the surface, is examined.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Belonin, M. D., “Basic outlines of the evolution of the Sokolovy Gory and Bagaevka structures in the Saratov part of the Volga region,” Sov. Geol., No. 12, pp. 90-109 (1964).
Faddeev, D. K., and Faddeeva, V. N., Digital Methods of Linear Algebra, Fizmatgiz, Moscow-Leningrad (1963).
Gzovskii, M. V., Basic Questions on the Tectonophysics and Tectonics of the Baidzhansai Anticlinorium, Parts III, IV, Izd. Akad. Nauk SSSR, Moscow (1963).
History of the Geologic Development of the Russian Platform and Its Framework, Izd. Nedra, Moscow (1964).
Lantsosh, K., Practical Methods of Applied Analysis, Fizmatgiz, Moscow (1960).
Mashkovich, K. A., Methods of Prospecting and Exploration for Oil and Gas in the Saratov District of the Volga Region, Gostoptekhizdat, Moscow (1961).
Ovanesov, G. P., The Formation of Oil and Gas Deposits in Bashkiria, Their Classification, and Methods of Prospecting for Them, Gostoptekhizdat, Moscow (1962).
Peshtich, E. L., Preobrazhenskaya, G. S., and K. P. Ivanova, Investigation of the Conditions under which Oil Deposits Formed in the Southeastern Volga—Ural Region, Tr. Vses, Nauchn.-Issled. Geologorazved. Inst., No. 126, Gostoptekhizdat, Leningrad (1963).
Rashevskii, P. K., A Course in Differential Geometry, GITTL, Moscow (1950).
Resolutions of the Committee on Refining the Unified Scheme of the Upper Proterozoic and Upper Paleozoic of the Volga—Ural Oil and Gas Province, Gostoptekhizdat, Moscow (1962).
Vistelius, A. B., and Yanovskaya, T. B., “Programming problems of geology and geochemistry for use with all-purpose electronic computers,” Geol. Rudn. Mestorozhd., No. 3, pp. 34–48 (1963).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1970 Springer Science+Business Media New York
About this chapter
Cite this chapter
Belonin, M.D., Zhukov, I.M. (1970). Geometrical Properties of the Surface of the Alekseevka Uplift in the Kuibyshev District. In: Romanova, M.A., Sarmanov, O.V. (eds) Topics in Mathematical Geology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2708-8_18
Download citation
DOI: https://doi.org/10.1007/978-1-4899-2708-8_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-2710-1
Online ISBN: 978-1-4899-2708-8
eBook Packages: Springer Book Archive