U.S.-Japan Joint Seminar: Fracture, Form, and Fractals/ September 1989/Lake Arrowhead, CA

该奖项将支持由南加州大学的Charles Sammis教授和日本东京工业大学的Masanori Saito教授联合举办的“断裂、形式和分形”研讨会。与会者将于1989年9月24日至27日在加利福尼亚州的箭头湖会面，就分形几何在地质断裂研究中的应用交换信息和想法。分形几何在不同尺寸尺度上重复相同的形式。最近，分形几何的观测结果已被量化，并被纳入地震等构造过程的数学模型，以及对断裂带内部结构的描述。然而，关于产生分形断裂模式的破坏过程的物理学、分形维数尺度的意义以及分形上限和下限的许多基本问题仍然存在。考虑到美国和日本最近对这些问题的大量研究，以及这些研究对地质学的重要性，特别是对地震预测的重要性，这次会议是及时的，可能会产生重要影响。

This award will support a seminar, "Fracture, Form, and Fractals," organized jointly by Prof. Charles Sammis of the University of Southern California, and Prof. Masanori Saito of the Tokyo Institute of Technology, Japan. Participants will meet at Lake Arrowhead, CA, on September 24-27, 1989, to exchange information and ideas on the subject of the application of fractal geometry, in which identical forms are repeated on various size scales, to research into geological fracture. Observations of fractal geometry have recently been quantified and incorporated into mathematical models for such tectonic processes as earthquakes, and into descriptions of the internal structure of fault zones. However, many fundamental questions regarding the physics of the failure process which produces fractal fracture patterns, the significance of the fractal dimension scale, and upper and lower fractal limits, remain. Considering the large amount of recent research on these questions in both the U.S. and Japan, and the importance of this research to geology in general and earthquake prediction in particular, this meeting is timely and likely to have important impact.