Geoinformatics
Online ISSN : 1347-541X
Print ISSN : 0388-502X
ISSN-L : 0388-502X
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Cover (GEOINFORMATICS 2024 Vol.35 No.1)
CONTENTS
Article
  • Three-dimensional Shapes of Stratigraphic Units Derived from Logical Model of Geologic Structure:A Mathematical Approach
    Kiyoji SHIONO
    Article type: Article
    2024 Volume 35 Issue 1 Pages 3-15
    Published: March 25, 2024
    Released on J-STAGE: March 25, 2024
    DOIhttps://doi.org/10.6010/geoinformatics.35.1_3
    JOURNAL RESTRICTED ACCESS
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    The present paper proposes a new method to formulate three-dimensional shapes of stratigraphic units by connecting surfaces contacting with adjacent units. It is assumed that a finite three-dimensional space Ω is composed of several stratigraphic units b1, b2, …, bn and the open space α that are bounded by surfaces S1, S2, …, Sm each of which divides Ω into the upper subspace and the lower one, and every element x in B={b1, b2, …, bn, α} is represented in the form X1∩ X2∩ …∩ Xm, where Xi indicates one of Si− (the subspace in the lower side of Si, including Si), Si+ (the subspace in the upper side of Si, including Si) and Ω. Then it is concluded that (1) the intersection of x and y in B represents the contact surface of two units, and (2) the three-dimensional shape of a stratigraphic unit x is formulated in the form of the union of all contact surfaces with y∈B except for x. The proposed method to formulate three-dimensional shapes of stratigraphic units is useful to improve the three-dimensional modeling system of geologic structure.

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