Abstract
Definition of the main lines of the paradigm of Geological Sciences for the 21st Century. Definition of the lines of development on the basis of existing materials. Problems of age estimation by decay of atoms, compositional data and operations with them, models of processes of basic magma differentiation during formation of some zonal massifs, cristallisation of granites from the natural melts, ways of migration of ore-bearing fluids (on the basis of tin and tungsten ore-bearing granites), interrelation between granite textures, ore-bearing fluids and quartz veins as screens accumulating ore elements from migrating fluids. Sediment transport, fossilization of sediments, sequential components of sedimentary sections and their use for section correlation, molecular evolution of proteins as the basis of estimation of biosphere generation.
This is a preview of subscription content, log in via an institution to check access.
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
Aitchison J.(1986) The Statistical analysis of Compositional data. London, Chapman and Hall, 416p.
Kharlamov B.P. (1978) About one mathematical model of accessory minerals transport in sedimentary deposits. Studies in Mathematical Geology, Leningrad, Nauka Press, p. 80–89, (in Russian).
Kimura M.(1982) The Neutral Theory of Molecular Evolution. Cambridge University Press, Cambridge. Russian translation. Moscow, Mir, 1985, 398p.
Mathematical Geology.(1987) Special issue, v.19, p.587-728.
Ptitzyn O.B. and Volkenstein M.V.(1986) Protein Structures and Neutral Theory of Evolution. Journ. of Biomolecular Structure I. Dynamics. V. 4, p. 137–154.
Romanova M.A. (1984) Phenomenon of magnetism and conceptional mathematical models of the processes joined with it. International 27th Geological Congress, Transactions, v. 20, p. 32–39, Moscow, Nauka Press (in Russian). (There is an English translation).
Romanova M.A. (1991, in press) Reflection of Precambrian Crust on the chemical composition of the Mesozoic granitoid rocks in the Northern part of Eastern Asia. Math. Geology.
Vistelius A.B. (1960) Skew frequency distribution and fundamental Law of the Geochemical Processes. Journ. Geol., v. 68, p. 1–22.
Vistelius A.B.(1963) Phases differentiation of Paleozoic Deposits of Middle and Transvolga regions. Leningrad, Academy of Sciences, p. 203.
Vistelius A.B.(1972) Ideal granite and its properties I. The stochastic model. Journ. Int. Ass. Math. Geology, v. 4, p. 89–102.
Vistelius A.B. (1985) On the correlation between chemical composition of granites and position of their intrusions in regional tectonic pattern of the Northern Part of Eastern Asia. In the book: Tectonics of Siberia, v. XV, Novosibirsk, Nauka Press, p. 36–41 (in Russian).
Vistelius A.B. (1989) The oldest laboratory of Mathematical Geology. USSR. Math. Geology, v. 21, p. 921–932.
Vistelius A.B. and Faas A.V.(1991) On precisian of the age measurements through RB-Sr isochron in nontrivial cases. Math. Geology.
Vistelius A.B., Demina M.E. and Kharlamov B.P.(1976) Random fields in some problems of Paleogeography and Geochemical Prospecting. 25th Int. Geol. Congress (Sydney) CABS, 414-8/20, p.912.
Vistelius A.B., Graunov O.V. and Pavlov V.M.(1989) Main Stages of zonal massifs formation: Mathematical models of commingling, self-cleaning and pre-eutectic stabilization. Abstracts, 28th Intern. Geol. Congr., Washington, v.3 of 3, p.304-305.
Vistelius A.B., Ivanov D.N., Romanova M.A. and Talmud G.A.(1978) Chemical composition of Cretaceous and Paleogenic volcanic rocks and depths of the Northern part of the active margin of the Eurasia continent. Doklady Akademii Nauk. USSR, Vol. 242, N2, p. 386–389 (in Russian).
Wald A. (1940) The Fitting of straight lines if both variables are subject to error. Ann. Math. Stat., v. 11, p. 284–300.
Wetherill G.W.(1956) Discordant uranium — lead ages. Trans. Amer. Geophys. Union, v. 37, p. 320–326.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Vistelius, A.B. (1992). Coming Problems and Paradigm of Geological Sciences of the 21st Century. In: Principles of Mathematical Geology. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2934-3_8
Download citation
DOI: https://doi.org/10.1007/978-94-011-2934-3_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5303-7
Online ISBN: 978-94-011-2934-3
eBook Packages: Springer Book Archive