地震の“碁石モデル”の解析解

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書誌事項

タイトル別名
  • Analytical Solution of “Go-Game Model” of Earthquake
  • ジシン ノ ゴイシ モデル ノ カイセキカイ
  • Analytical Solution of “Go-Game Model” of Earthquake

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抄録

Otsuka (1971, 1972) proposed a stochastic earthquake model, “Go-Game Model, ” in which an earthquake was simulated by a series of ruptures controled by a simple stochastic law. Using Monte Carlo technique, he demonstrated that the magnitude-frequency relation of earthquakes expected from this model was in good agreement with the observed one. We study this model in terms of probability generating functions and derive an analytical expression for the final size distribution of ruptured area. It is shown that Ishimoto-Iida's relation, or Gutenberg-Richter's relation, is a limiting distribution of this model.

収録刊行物

  • 地震　第２輯

    地震　第２輯 26 (1), 19-25, 1973

    公益社団法人 日本地震学会

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