Multifractal characteristic analysis of near-fault earthquake ground motions |
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| Institution: | 1. ASL Environmental Sciences Inc., Saanichton, BC, Canada;2. BC Hydro, Burnaby, BC, Canada;1. Mexican Petroleum Institute, Eje Central 152, Mexico, DF 07730, Mexico;2. King Fahd University of Petroleum and Minerals, Department of Earth Sciences and Reservoir Characterization Research Group, Dhahran, 31261, Saudi Arabia;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, China;2. Renai College, Tianjin University, Tianjin 301636, China;3. Tianjin Chengjian University, Tianjin 300384, China |
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| Abstract: | This study aims to reveal the multi-scaling behavior and quantify the irregularity of near-fault earthquake ground motions from a new perspective of multifractal theory. Based on multifractal detrended fluctuation analysis, the multifractal characteristic parameters of acceleration time series for typical near-fault ground motions are calculated, and their correlations with two period parameters (i.e., mean period Tm and characteristic period Tc) and box-counting fractal dimensions are analyzed. Numerical results of strong nonlinear dependence of generalized Hurst exponents h(q) upon the fluctuation orders q indicate that near-fault ground motions present the multifractal properties and long-range correlation obviously. Furthermore, the scaling exponent h(2) of near-fault records has a strong correlation with their periods Tm and Tc, and strongly negative correlation with their box dimension. Moreover, h(2) can be regarded as a measure of frequency content and irregularity degree of strong earthquake ground motions. Finally, it is pointed out that the long-range correlation of small and large fluctuation is the major source of multifractality of near-fault ground motions. |
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| Keywords: | Near-fault ground motions Multi-scaling behavior Multifractal detrended fluctuation analysis Irregularity Generalized Hurst exponent Long-range correlation |
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