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SDE modeling for diversity and heterogeneity of earthquake ruptures

Research Project

Project/Area Number 18K13637
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 17040:Solid earth sciences-related
Research InstitutionRitsumeikan University

Principal Investigator

Hirano Shiro  立命館大学, 理工学部, 助教 (60726199)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2018: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Keywords震源物理学 / 断層運動 / 確率微分方程式 / モーメントレート関数 / 震源時間関数 / 地震発生のメカニズム / 数理地震学 / 破壊力学 / 地震学 / 断層破壊 / 地震 / 断層滑り / 動的破壊過程 / 固体地球科学 / 動的破壊
Outline of Final Research Achievements

We proposed a stochastic model to represent a time series of earthquake faulting processes. The time series, called Source Time Functions (STFs), have diversity among earthquakes, and our basic concept is that such diversity can be modeled in a stochastic framework rather than conventional methods; thus, our model is not for individual earthquake events. Still, our model could statistically reproduce multiple empirical laws on STFs based on many observational studies. Furthermore, we speculated a relationship between an on-fault frictional behavior and the stochastic process employed in our model.

Academic Significance and Societal Importance of the Research Achievements

地震が複雑な現象であることは広く知られているが、その複雑さを定量化する方法が確立しているわけではない。本研究は、その道筋のひとつを見つけたものと言える。複雑さの定量化は、震源過程の物理を理解する上で極めて重要な情報をもたらす。また波及効果として、震源から放射される地震波による強震動をシミュレーションする際、震源過程にどの程度の多様さ・不確かさを仮定すればよいかという判断にも寄与するものである。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (12 results)

All 2022 2021 2020 2019 2018

All Journal Article (1 results) (of which Peer Reviewed: 1 results,  Open Access: 1 results) Presentation (11 results) (of which Int'l Joint Research: 5 results)

  • [Journal Article] Source time functions of earthquakes based on a stochastic differential equation2022

    • Author(s)
      Shiro Hirano
    • Journal Title

      Scientific Reports

      Volume: 12 Issue: 1

    • DOI

      10.1038/s41598-022-07873-2

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 確率論的震源時間関数の概形と地震波放射効率2022

    • Author(s)
      平野史朗
    • Organizer
      日本地震学会2022年秋季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 地震学における弾性波動論と確率過程の親和性2022

    • Author(s)
      平野史朗
    • Organizer
      日本応用数理学会2022年度年会
    • Related Report
      2022 Annual Research Report
  • [Presentation] ω⁻²モデル, モーメントの3乗則, およびGR則を満たす確率的震源時間関数2021

    • Author(s)
      平野史朗
    • Organizer
      日本地震学会秋季大会
    • Related Report
      2021 Research-status Report
  • [Presentation] Statistics and variability of source time functions based on a stochastic differential equation2021

    • Author(s)
      Shiro Hirano
    • Organizer
      American Geophysical Union Fall Meeting
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Slip rate of earthquake faulting modeled by a cross-correlation of two Bessel processes2021

    • Author(s)
      平野史朗
    • Organizer
      日本応用数理学会年会
    • Related Report
      2021 Research-status Report
  • [Presentation] Bessel 過程による, 断層滑り時刻歴のトイモデル2021

    • Author(s)
      平野史朗
    • Organizer
      東京大学地震研究所共同利用研究集会「ローカルな不均質性」
    • Related Report
      2020 Research-status Report
  • [Presentation] An empirical PDE for slip along earthquake faults2020

    • Author(s)
      Shiro Hirano
    • Organizer
      The Second Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications" - 20th Conference of Continuum Mechanics Focusing on Singularities (CoMFoS20)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] An observation-based differential equation of spatio-temporal slip distribution2019

    • Author(s)
      Hirano, S.
    • Organizer
      American Geophysical Union 2019 Fall Meeting
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 不均質な滑り分布と地震活動モデルの整合性2018

    • Author(s)
      平野史朗
    • Organizer
      日本地震学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Aftershocks and the GR law due to a heterogeneous slip model2018

    • Author(s)
      Shiro Hirano
    • Organizer
      American Geophysical Union 2018 Fall Meeting
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Friction vs. damage: dynamic self-similar crack growth revisited2018

    • Author(s)
      Shiro Hirano
    • Organizer
      CoMFoS18:Mathematical Analysis of Continuum Mechanics and Industrial Applications
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

URL: 

Published: 2018-04-23   Modified: 2024-01-30  

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