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Fundamental equation for the dynamics of complex fracture

Research Project

Project/Area Number 08640520
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体地球物理学
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

KOYAMA Junji  Hokkaido Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授 (30125546)

Co-Investigator(Kenkyū-buntansha) HARA Hiroaki  Tohoku Univ., Graduate School of Information Science, Associate Professor, 大学院・情報科学研究科, 助教授 (60005296)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1997: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1996: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordscomplex medium / stochastic scaling / super-slow dynamics
Research Abstract

The dynamics of complex fracture process has been studied based on the scaling nature of the fundamental equation. The scaling resulting from the random size effect of fracture nuclei has been statistically derived and it describes the temporal/spacial distribution and long time-tail behavior of the natural earthquake activity. Stochastic scaling to describe the compound system from the aggregate of complex systems has been formulated considering the Lagevin equation. It predicts the super-slow dynamics as well as slow dynamics of complex system.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] H., Hara: "Scaled Langevin Equation for Complex Systems:New Linear Scaling Relation for Weight Factor" Chaos,Solitons&Fractals. Vol.8,No.10. 1685-1691 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 小山 順二: "最大エントロピーとなる複雑な地震活動" 北海道大学地球物理学研究報告. 60. 77-95 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T., Obata: "Curvature Tensor of a Statistical Manifold Assonciated with a Correlatede-Walk Model" Physical Review E. Vol.56,No.1-A. 213-226 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 原 啓明: "確率過程による通信路容量の一般化とその統計的応答特性" 統計数理. 44巻,1号. 105-119 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Hara: "Scaled Langevin Equation for Complex Systems New Linear Scaling Relation for Weight Factor" Chaos, Solitons & Fractals. Vol.8, No.10. 1685-1691 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] J.Koyama: "Complex activity of earthquakes characterized by the maximum entropy" Geophys.Bull.Hokkaido Univ.Vol.60. 77-95 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] TObata: "Curvature Tensor of Statistical Manifold Associated with a Correlated-Walk Model" Physical Review E. Vol.56, No.1. 213-226 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Hara: "Generalization of channel capacity based on stochastic processes and its statistical response process" Statistical Mathematics. Vol.44, No.1. 105-119 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Hara: "Scaled Langevin Equation for Complex Systems:New Linear Scaling Relation for Weight Factor" Chaos,Solitons & Fractals. Vol.8,No.10. 1685-1691 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 小山順二: "最大エントロピーとなる複雑な地震活動" 北海道大学地球物理学研究報告. 60. 77-95 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Obata: "Curvature Tensor of a Statistical Manifold Assonciated with a Correlated-Walk Model" Physical Review E. Vol.56,No.1-A. 213-226 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 原 啓明: "確率過程による通信路容量の一般化とその統計的応答特性" 統計数理. 44巻,1号. 105-119 (1996)

    • Related Report
      1997 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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