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フラクタルと地震の数理

Research Project

Project/Area Number 62300007
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 広領域
Research InstitutionTokyo Institute of Technology

Principal Investigator

SAITO Masanori  Department of Applied Physics, Faculty of Science, Tokyo Inst. Tech., 理学部, 教授 (10011553)

Co-Investigator(Kenkyū-buntansha) HUKAO Yoshio  Departemnt of Earth Science, Faculty of Science, Nagoya Univ., 理学部, 助教授 (10022708)
IIO Yoshihisa  Department of Geophysics, Faculty of Science, Kyoto Univ., 理学部, 助手 (50159547)
OOUTI Tooru  Department of Earth Science, Faculty of Science, Kobe Univ., 理学部, 助手 (50116191)
OGATA Yoshihiko  Inst. Statistical Mathematics, 助教授 (70000213)
ITO Keisuke  Department of Earth Sciences, Faculty of Science, Kobe Univ., 理学部, 教授 (00030792)
高安 秀樹  神戸大学, 理学部, 助手 (00183062)
Project Period (FY) 1988 – 1989
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥5,000,000 (Direct Cost: ¥5,000,000)
Fiscal Year 1988: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1987: ¥3,000,000 (Direct Cost: ¥3,000,000)
Keywordsfractal / earthquake / focal mechanism / rock fracture / chaos / パターン形成
Research Abstract

Fractal is a newly developing approach to study complex phenomena such as fracture and pattrn formation. The objuctive of the present project is to introduce the newly developed idea of fractal into seismology on one hand, and to introduce seismological problems to fractai oriented mathematicians, physicists and chenists to develop both seismolgy and fractal sciences, on the other hand. We formed several working-groups to review and discuss respective fields. The results of the working groups were then presented at symposia. In 1987 fiscal year we had 3 symposia, where a review of fractal phenomena in not only seimology but a variety of fields, such as astronomy, physics, chemistry were given. Since fractal is originally a branch of geometry, most of the presented phenomena were described commonly in the language of fractal. But this does not mean that those phenomena were dynamically equivalent. In the latter half of the project we focussed our a attention on the dynamical aspects in fractal. In 1988 fiscal year we had 2 symposia where hierarchical approach to seismic focal processes, and weve propagation problems in fractal media were discussed. The results of the project in 1987 were published in "Mathematical Seismology (III)" and the results in 1988 will be published in "Mathematical Seismology (IV)".

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (5 results)

All Other

All Publications (5 results)

  • [Publications] 高安秀樹 他: "フラクタル科学" 朝倉書店, 1-258 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 斎藤正徳: "数理地震学(III)" 統計数理研究所, 1-380 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Masanori SAITO (Ed.): Mathematical Seismology (III). Institute of M Statistical Mathematics, 1-380 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 高安秀樹 他: "フラクタル科学" 朝倉書店, 1-258 (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] 斎藤正徳: "数理地震学(III)" 統計数理研究所, 1-380 (1988)

    • Related Report
      1988 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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