Optimal Determination of Discontinuous Surfaces

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  • 最適化原理による不連続な曲面の推定
  • サイテキカ ゲンリ ニヨル フレンゾク ナ キョクメン ノ スイテイ

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Abstract

Discontinuity is considered in the gridding algorithm of geologic surfaces by breaking the linkage between grid nodes which cross the line of discontinuity in the similar manner to Bolondi et al. (1976) . Shiono et al. (1986, 1987) proposed a gridding algorithm for numerical determination of the optimal continuous surface: z=f (x, y) .In this algorithm, the smoothest function is chosen among many feasible functions which satisfy elevation data as well as dip and strike-data, using a functional:<BR>J (f) =m1J1 (f) +m2J2 (f) <BR>as a measure of smoothness of the function f (x, y) . Applying Bolondiet al. (1976) 's idea to the algorithm, Noto et al. (1988) developed a N88-BASIC program for gridding of a faulted surface, in which discontinuity of surface is realized by neglecting terms of J1 (f) and/orJ2 (f) related to neighboring nodes located on both sides of the line of discontinuity. However, the program has some limitations due to its restricted use of computer memory and low processing speed. Expanding the algorithm proposed by Noto et al. (1988), we deveolped a FORTRAN program to determine optimal shapes of not only discontinuous surfaces but also surfaces including discontinuity of partial derivative of first order. This program realizes both rapid processing and expansion of gridding area.

Journal

  • Geoinformatics

    Geoinformatics 8 (3), 157-175, 1997

    Japan Society of Geoinformatics

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