Mathematical Understanding of physics of turbulence, self-precipitation, and averaged flow in porous media

2023 Fiscal Year Final Research Report

• Project/Area Number: 20K03771
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: Aoyama Gakuin University
• Principal Investigator: Suzuki Takehito 青山学院大学, 理工学部, 助教 (10451874)
• Project Period (FY): 2020-04-01 – 2024-03-31
• Keywords: 非線形動力学 / 熱 / 流体 / 自己沈殿 / 一次相転移

Outline of Final Research Achievements

The turbulent flow within porous media and the pore healing due to the self-precipitation have been found to affect dynamic earthquake slip processes. For the unified understanding with these effects, I have constructed the framework with the spring-block model, the interaction among heat, fluid pressure, and porosity, and the self-precipitation. With this framework, I found that the difference between the fast and slow earthquakes, which are qualitatively different phenomena, can be understood as the first-order phase change.

Free Research Field

摩擦物理、非線形動力学

Academic Significance and Societal Importance of the Research Achievements

地震という現象から非線形動力学的成果を得たことが重要である。非線形動力学はあらゆる現象を対象にするが、地震現象はその中に入っていないことが多い。しかし本研究によりそこに一石を投じることができた。日本は地震国であるから、そう言った数理物理的分野をリードする可能性を示した。地震の予測というよりも数理的成果に重きを置いたことを強調したい。