Fractal dimension modeling of seismology and earthquakes dynamics

被引：15
|
作者：
El-Nabulsi, Rami Ahmad [1 ,2 ,3 ]
Anukool, Waranont [1 ,2 ]
机构：
[1] Chiang Mai Univ, Res Ctr Quantum Technol, Fac Sci, Chiang Mai 50200, Thailand
[2] Chiang Mai Univ, Dept Phys & Mat Sci, Fac Sci, Chiang Mai 50200, Thailand
[3] Athens Inst Educ & Res, Math & Phys Div, 8 Valaoritou St, Athens 10671, Greece
来源：
ACTA MECHANICA | 2022年 / 233卷 / 05期
关键词：
B-VALUE; FRACTIONAL VISCOELASTICITY; MEDIA THEORY; SEISMICITY; FAULT; GEOMETRY; WAVES; EQUATION; DIFFUSION; SYSTEMS;
D O I：
10.1007/s00707-022-03213-7
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this study, we constructed the seismic wave equation in fractal dimensions based on the concept of product-like fractal measure introduced recently by Li and Ostoja-Starzewski in their formulation of anisotropic media. The solutions of the fractal seismic wave have proved the effect of fractal dimensions on the propagation of this type of wave in anisotropic media. The plane wave solutions were proved to be affected and deformed by fractal dimensions. It was observed that earthquakes in fractal dimension are characterized by a modified total energy which may be used to estimate the range of the fractal dimension. In particular, slow earthquakes with fractal dimension alpha = 1/2 are characterized by a particular total energy E-alpha which is E-alpha approximate to 10E(c), E-c being the conventional total energy. Several additional points were discussed and analyzed.
引用
收藏
页码：2107 / 2122
页数：16
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