Notes for Education on Geologic Mapping by Computers

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  • SHIONO Kiyoji
    Department of Geosciences, Faculty of Science, Osaka City University
  • MASUMOTO Shinji
    Department of Geosciences, Faculty of Science, Osaka City University
  • WADATSUMI Kiyoshi
    Department of Geosciences, Faculty of Science, Osaka City University

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  • 計算機による地質図学の実習ノート

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Abstract

Mathematical principles that should be used to solve major problems related to geological mapping by using computers are presented in a form of text book for data processing by computers in the senior course of geology, with exercises for students. For the theoretical simplicity. we assume that all bedding planes are planar and paralell to each other. As the principles are simple, it is easy to code computer-programs to solve problems without graphical hand-works. Let a vector e= (l, m, n) be an unit vector which is normal to the bedding plane and is also oriented to the upper layers. The bedding plane is expressed by a linear equation as follows; lx+my+nz=p (Hesse's standard form) . This equation is used to solve problems related to the thickness of a bed, the drilling work, the apparent dip, the so-called “three-points problem” and the stratigraphic sequence. Further, if the topographic surface z=h (x, y) and the geological boundary z=b (x, y) are given in forms of grid data, the geological boundary is drawn on topographic map by tracing points (x, y) that satisfy the condition; g (x, y) =h (x, y) -b (x, y) =0 or Δp (x, y) =lx+my+nh (x, y) -p, through a slight modification of contouring program. The geological section is also drawn by a slight modification of the program for topographical sections.

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