The possibilities of the geological border oriented graph at formal description of 3-dimensional large-scalegeological model

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Abstract

The article deals with the present state of the formalized description of a 3-dimensional geological model with the consideration of the problems arising from the increase in scale and the transition from the geological bodies distinguished by stratigraphic principle to those identified by lithology-stratigraphic and engineering-geological divisions. An approach to solving these problems is proposed. It is shown that the problem of correctly determining the sequence of occurrence of lithological-stratigraphic subdivisions can be solved as a problem of topological sorting of vertices of an oriented graph. For the first time, the requirements for non-local alignment of geological sections are set.

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About the authors

O. K. Mironov

Sergeev Institute of Environmental Geoscience, Russian Academy of Sciences

Author for correspondence.
Email: e.karfidova@yandex.ru
Russian Federation, Ulanskii per., 13, bld. 2, Moscow, 101000 Russia

E. A. Karfidova

Sergeev Institute of Environmental Geoscience, Russian Academy of Sciences

Email: e.karfidova@yandex.ru
Russian Federation, Ulanskii per., 13, bld. 2, Moscow, 101000 Russia

V. B. Svalova

Sergeev Institute of Environmental Geoscience, Russian Academy of Sciences

Email: e.karfidova@yandex.ru
Russian Federation, Ulanskii per., 13, bld. 2, Moscow, 101000 Russia

References

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  2. Dem’yanov, V.V., Savel’eva, E.A. Geostatistika. Teoriya i praktika [Geostatistics. Theory and practice], Moscow, Nauka Publ., 2010, 328 pp. (in Russian)
  3. Kormen, T., Leisserson, Ch., Rivest, R., Stein, K. Topological sorting. Algorithms: construction and analysis, Krasikova I.V., Ed., Moscow, Williams, 2nd edition, 2005, pp. 632-635. (in Russian)
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  5. Mironov, O.K. Application of 3-dimensional modeling for hydrogeological problems. Sergeevskie chteniya, vyp. 18 [Proc. 18th Conference in commemoration of academician E.M. Sergeev]. Moscow, RUDN Publ., 2016, pp. 657-660 (in Russian)
  6. Mironov, O.K. A three-dimensional model of Pre-Quaternary sediments on the territory of Moscow. Sergeevskie chteniya, vyp. 17 [Proc. 17th Conference in commemoration of academician E.M. Sergeev]. Moscow, RUDN Publ., 2015, pp. 51-56. (in Russian)
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  13. Turner, A.K, Kessler, H. Challenges with applying geological modelling for infrastructure design. Proc.17th Annual Conference of Mathematical Geosciences (IAMG 2015), Freiberg, Germany, Sept. 5-13, 2015 pp. 49-58
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Supplementary files

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2. Fig. 1. Modeling zone: location of profiles and survey wells in the Alabyano-Baltic tunnel area (ABT).

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3. Fig. 2. Sketches of the boundaries of the occurring geological bodies (flst-dns medium-grained sand). Explanations in the text.

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4. Fig. 3. Oriented cycles in the graph of the model: a - the layer lies on top of itself; b - a ring of two layers. Explanations in the text.

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5. Fig. 4. Elimination of folds in the geological section.

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