Abstract
A simple law of regular structural pattern expresses structure of the earth. A series of orders corresponds to different size units from continents to smallest mineral grains. Principles of equidistance and of halving serve as the methodological basis. The diameter of the earth is an original constant, and an identical formula is valid for the moon if the diameter of that body is used. The formula provides a link to numerous earth and planetary sciences explaining a system of orders useful for research and practical problems. The law of regular structural pattern can be considered where mathematical methods are used. A possible improvement in approaching geological problems is demonstrated.
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
Blanchet, P. H., 1957, Development of fracture analysis as exploration method: Am. Assoc. Petroleum Geologists Bull., v. 41, no. 8, p. 1748–1759.
Brock, B. B., 1956, Structural mosaics and related concepts: Geol. Soc. South Africa Trans., v. 62, p. 325–372.
Brock, B. B., 1959, On orogenic evolution, with special reference to Southern Africa: Geol. Soc. South Africa Trans., v. 65, p. 150–197.
Brock, B. B., 1968, Crustal patterns related to the sphericity of heavenly bodies or structural mosaic hierarchies on Mars, Earth and Moon: 23rd Intern. Geol. Cong., v. 13, p. 11–25.
Bukrinskii, V. A., 1965, Prakticheskiy kurs geometrii nedr (practical course of mining geometry): Nedra Press, Moscow, 244 p.
Daubree, A., 1879, Etudes synthetiques de geologie experimentale: Dunod, Paris, 2 volumes, 828 p.
Gol’braykh, I. G., Zabaluyev, V. V., and Mirkin, G. R., 1965, Tektonicheskii analiz megatreshchinovatosti–perspektivnyi metod issledovaniya zakrytykh territoriy (tectonic analysis of megajointing: promising method of investigating covered territories): Soviet. Geol., no. 4, p. 63–73 (English trans., Intern. Geol. Review, v. 8, no. 9, p. 1009–1016 ).
Hilgenberg, O. C., 1949, Die Bruchstruktur der sialischen Erdkruste: Akademie - Verlag Berlin, 106 p.
Hobbs, W. H., 1911, Repeating patterns in the relief and in the structure of the land: Geol. Soc. Amer. Bull., v. 22, p. 123–176.
Hodgson, R. A., 1961, Regional study of jointing in Comb Ridge–Navajo mountain area, Arizona and Utah: Am. Assoc. Petroleum Geologists Bull., v. 45, no. 1, p. 1–38.
Bubbert, M. K., 1951, Mechanical basis for certain famil- iar geologic structures: Geol. Soc. America Bull., v. 62, no. 4, p. 355–372.
Isacks, B., Oliver, J., and Sykes, L. R., 1968, Seismology and the new global tectonics: Jour. Geophysical Res., v. 73, no. 18, p. 5855–5897.
Jung, W., 1965, Zum subsalinaren Schollenbau im südostlichen Harzvorland. Mit einigen Gedanken zur Aquidistanz von Schwächezonen: Geologie, Berlin, v. 14, no. 3, p. 254–271.
Knetsch, G., 1965, Über ein Struktur–experiment an einer Kugel und Beziehungen zwischer Gross–lineamenten und Pol-lagen in der Erdgeschichte: Geol. Rundschau, v. 54, p. 523–548.
Kutina, J., 1968, On the application of the principle of equidistances in the search for ore veins: 23rd Intern. Geol. Cong., v. 7, p. 99–110.
Kutina, J., 1969, Hydrothermal ore deposits in the western United States: a new concept of structural control of distribution: Science, v. 165, no. 3898, p. 1113–1119.
Kutina, J., and Telupil, A., 1966, Prospecting for ore veins along the Clay Fault (Pribram Ore Field) with application of the principle of equidistances: Vestnik UUG, v. 41, no. 6, p. 431–443.
Mann, C. J., 1970, Randomness in nature: Geol. Soc. America Bull., v. 81, no. 1, p. 95–104.
Matheron, G., 196.3, Principles of geostatistics: Econ. Geol., v. 58, p. 1246–1266.
Matheron, G., 1968, Osnovy prikladnoy geostatistiki (fundaments of applied geostatistics): Mir, Moscow, 408 p.
Matschinski, M., 1964, The form of the grains of sand, of the fragmented rocks, and the indices characterising this form: 22nd Intern. Geol. Cong., v. 15, p. 177–188.
Meyerhoff, A. A., 1970, Continental drift: implications of paleomagnetic studies, meteorology, physical oceanography and climatology: Jour. Geology, v. 78, no. 1, p. 1–51.
Nemec, A., 1947, Geomechanika: Prerov, 216 p.
Nemec, A., 1957, Fyzikalni zaklady geografie a paleogeografie (physical principles of geography and paleo-geography): unpublished manuscript, 250 p.
Nilsen, T. H., 1968, The relationship of sedimentation to tectonics in the Solund Devonian district of southwestern Norway: Norges Geologiske Undersokelse, no. 259, 108 p.
Phillips, J., 1855, Manual of geology: Griffin and Co., London, 669 p.
Robinson, J. E., Charlesworth, H. A. K., and Ellis, M. J., 1969, Structural analysis using spatial filtering in interior plains of south-central Alberta: Am. Assoc. Petroleum Geologists Bull., v. 53, no. 11, p. 2341–2367.
Robinson, J. E., Charlesworth, H. A. K., and Kanasewich, E. R., 1968, Spatial filtering of structural contour maps: 23rd Intern. Geol. Cong., Sec. 13, p. 163–173.
Rouse, G. E., and Bisque, R. E., 1968, Global tectonics and the Earth’s core: Mines Mag., v. 58, no. 3, p. 28–35.
Serra, J., 1968, Les structures gigognes: morphologie mathematique et interpretation metallogenique: Mineral. Deposita, v. 3, p. 135–154.
Sonder, R. A., 1938, Die Lineamenttektonik und ihre Probleme: Eclog. Geol. Hel., v. 31, p. 199–238.
Vashchilov, Yu. Ya., and Gaynanov, A. G., 1968, Novyye dannyye o plostnostnykh neodnorodnostyakh zemnoy kory i verkhney mantii (more information on density irregularities in the crust and upper mantle): Doklady Akademii Nauk SSSR, v. 183, no. 3, p. 661–663 (English trans., Doklady An USSR, v. 183, p. 66–68 ).
Wegener, A., 1912, Die Entstehung der Kontinente: Geol. Rundschau, v. 3, p. 276–292.
Zavgorodskiy, O. M., 1968, Opyt eksperimental’nogo issledovaniya mekhanizma obrazovaniya struktur fundamenta minusingkoso progiba i yego obramleniya (experimental investigation of the mode of origin of basement structures of the Minusinsk trough and its fringe): Doklady Akademii Nauk SSSR, v. 181, no. 4, p. 934–937 (English trans., Doklady An USSR, v. 181, p. 65–67 ).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1970 Plenum Press, New York
About this chapter
Cite this chapter
Nemec, V. (1970). The Law of Regular Structural Pattern: Its Applications with Special Regard to Mathematical Geology. In: Merriam, D.F. (eds) Geostatistics. Computer Applications in the Earth Sciences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7103-2_6
Download citation
DOI: https://doi.org/10.1007/978-1-4615-7103-2_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-7105-6
Online ISBN: 978-1-4615-7103-2
eBook Packages: Springer Book Archive