Earthquake Dynamic Rupture Processes Interacting with Bimaterial Interface: Development of XBIM with Geometrical Complexity

• Project/Area Number: 25400441
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Solid earth and planetary physics
• Research Institution: The University of Tokyo
• Principal Investigator: Kame Nobuki 東京大学, 地震研究所, 准教授 (90304724)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2013: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
• Keywords: 地震 / 断層 / 動的破壊 / 協会積分方程式法 / 亀裂 / 境界積分方程式法 / 不均質媒質 / 体積震源 / 破壊 / 地震発生物理学 / 媒質境界

Outline of Final Research Achievements

Extended Boundary Integral Equation Method (XBIEM) is originally proposed for mesh-free method of dynamic rupture propagation with arbitrary geometry of crack and medium interface. However, the existing numerical code is only for a planar crack growth along/across a planar biomaterial interface. In the present study, I extend XBIEM into curvilinear geometry of interface and crack, giving its mathematical basis.

Research Products

• [Journal Article] 表現定理とグリーン関数(2)－体積震源のモーメントテンソル表現－ (2016)
  • Author(s): 日下部哲也, 亀伸樹, 市原美恵, 熊谷博之
  • Journal Title: 地震 Volume: 68 Issue: 6 Pages: 169-176
  • DOI: 10.4294/zisin.68.169
  • NAID: 130005433810
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] On volume-source representations based on the representation theorem (2016)
  • Author(s): Ichihara, M., T. Kusakabe, N. Kame, and H. Kumagai
  • Journal Title: Earth, Planets and Space Volume: 68 Issue: 1 Pages: 1-10
  • DOI: 10.1186/s40623-016-0387-3
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] 表現定理とグリーン関数－無限媒質グリーン関数による有限領域の弾性変形場の表現－ (2015)
  • Author(s): 日下部哲也, 亀伸樹
  • Journal Title: 地震 Volume: 68 Issue: 4 Pages: 83-89
  • DOI: 10.4294/zisin.68.83
  • NAID: 130005433806
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Moment tensors associated with the expansion and movement of fluid in ellipsoidal cavities (2015)
  • Author(s): Naoto Mizuno, Mie Ichihara, Nobuki Kame
  • Journal Title: Journal of Geophysical Research Volume: 120 Issue: 9 Pages: 6058-6070
  • DOI: 10.1002/2015jb012084
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Presentation] Derivation of XBIEM kernels for anti-plane/in-plane problems and implementation in anti-plane rupture simulation crossing bimaterial interface (2015)
  • Author(s): KUSAKABE, T., N. KAME
  • Organizer: AGU 2015 Fall Meeting
  • Place of Presentation: San Francisco (USA)
  • Year and Date: 2015-12-18
  • Int'l Joint Research
• [Presentation] 表現定理とグリーン関数（１）ー全無限グリーン関数による有限領域の弾性変形場の表現ー (2015)
  • Author(s): 日下部哲也・亀伸樹
  • Organizer: 日本地震学会2015年度秋季大会
  • Place of Presentation: 神戸国際会議場（兵庫県・神戸市）
  • Year and Date: 2015-10-27
• [Presentation] 表現定理とグリーン関数（２）ー体積震源のモーメントテンソル表現ー (2015)
  • Author(s): 日下部哲也・亀伸樹・市原美恵・熊谷博之
  • Organizer: 日本地震学会2015年度秋季大会
  • Place of Presentation: 神戸国際会議場（兵庫県・神戸市）
  • Year and Date: 2015-10-27
• [Presentation] Volume source representations: a unified explanation based on the representation theorem (2015)
  • Author(s): KAME, N., M. ICHIHARA, T. KUSAKABE, H. KUMAGAI
  • Organizer: IUGG
  • Place of Presentation: Prague (Czech Republic)
  • Year and Date: 2015-06-29
  • Int'l Joint Research
• [Presentation] 体積震源モーメントテンソルの表現定理に基づく統一的な理解 (2014)
  • Author(s): 市原美恵・日下部哲也・亀伸樹・水野尚人・熊谷博之
  • Organizer: 日本地球惑星科学連合2014年大会
  • Place of Presentation: 横浜パシフィコ（ 神奈川県、横浜市 ）
  • Year and Date: 2014-05-02
• [Presentation] 楕円体体積震源のモーメントテンソル (2014)
  • Author(s): 水野尚人・日下部哲也・市原 美恵・亀伸樹
  • Organizer: 日本地球惑星科学連合2014年大会
  • Place of Presentation: 横浜パシフィコ（ 神奈川県、横浜市 ）
  • Year and Date: 2014-05-02
• [Presentation] Extended Boundary Integral Equation Method (XBIEM) for Rupture Dynamics Interacting with Medium Interfaces - Mode III Implementation in a Bimaterial - (2013)
  • Author(s): Kusakabe, T. and Kame, N.
  • Organizer: EGU2013
  • Place of Presentation: Vienna (Austria)
• [Presentation] Development of an extended BIEM and its application to the analysis of earthquake dynamic rupture interacting with a medium interface (2013)
  • Author(s): Kusakabe, T. and Kame, N.
  • Organizer: AGU2013
  • Place of Presentation: San Francisco (USA)
• [Presentation] XBIEMで調べる媒質境界剥離の力学的効果 (2013)
  • Author(s): 日下部哲也・亀伸樹
  • Organizer: 日本地球惑星科学連合大会
  • Place of Presentation: 千葉