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Research and Application of the Fractal Dimension of Seismic Waves

Zou Zu-jun

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Abstract

As a new research direction of the nonlinear science,fractal theory is also widely applied in the seismological fields.The seismic waves have fractal characteristics,while we always neglect the influence and significance of the fractal when we calculate the earthquake action in practical engineering design.Seismic wave is fractal time series data,and fractal dimension is the magnitude which characterizes the degree of the data enriching the time amplitude plane.Through researching the earthquake affecting coefficient,this paper points out that the fractal dimension value also should be as one of the parameters of the seismic waves.Then it briefly introduces an improved box counting method to calculate the fractal dimension value of several famous seismic waves.At last,it further illustrates that we can use the fractal dimension more widely as a new characteristic of seismic wave.

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What this paper is about

As a new research direction of the nonlinear science,fractal theory is also widely applied in the seismological fields.The seismic waves have fractal characteristics,while we always neglect the influence and significance of the fractal when we calculate the earthquake action in practical engineering design.Seismic wave is fractal time series data,and fractal dimension is the magnitude which characterizes the degree of the data enriching the time amplitude plane.Through researching the earthquake affecting coefficient,this paper points out that the fractal dimension value also should be as one of the parameters of the seismic waves.Then it briefly introduces an improved box counting method to calculate the fractal dimension value of several famous seismic waves.At last,it further illustrates that we can use the fractal dimension more widely as a new characteristic of seismic wave.

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Available abstract

As a new research direction of the nonlinear science,fractal theory is also widely applied in the seismological fields.The seismic waves have fractal characteristics,while we always neglect the influence and significance of the fractal when we calculate the earthquake action in practical engineering design.Seismic wave is fractal time series data,and fractal dimension is the magnitude which characterizes the degree of the data enriching the time amplitude plane.Through researching the earthquake affecting coefficient,this paper points out that the fractal dimension value also should be as one of the parameters of the seismic waves.Then it briefly introduces an improved box counting method to calculate the fractal dimension value of several famous seismic waves.At last,it further illustrates that we can use the fractal dimension more widely as a new characteristic of seismic wave.

Key concepts: Fractal, Fractal dimension, Seismic wave, Multifractal system, Fractal landscape, Dimension (graph theory), Geology, Seismology

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