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Analysis and comparison of Fourier and Wavelet transforms: application to the study of seismic source parameters of the 2001 Arequipa Earthquake
Análisis y comparación de las transformadas de Fourier y Wavelet: aplicación para el estudio de parámetros de la fuente sísmica del Terremoto de Arequipa del 2001
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https://doi.org/10.15446/rbct.n58.118962Palabras clave:
Fourier Transform (FFT), Wavelet Transform (WT), radiated energy, source parameters, Arequipa earthquake (en)Transformada de Fourier (FFT), Transformada Wavelet (WT), energía radiada, parámetros fuente, terremoto de Arequipa (es)
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This study focuses on the characterization of the June 23, 2001, Arequipa earthquake by applying the Fourier Transform (FFT) and Wavelet Transform (WT) together to estimate source parameters and radiated energy, aiming to improve seismic risk management in southern Peru. FFT results showed seismic moments ranging from 3.55×10¹⁶ to 1.41×10¹⁸ N·m, stress drops between 0.46 and 3.99 MPa, and fracture radii from 0.61 to 1.94 km. WT enabled the estimation of dominant frequencies between 0.18–0.24 Hz, radiated energy ranging from 24.52 to 32.19 J, and rupture durations from 40.02 to 105.98 s. The combined use of FFT and WT allowed for a more detailed characterization of the 2001 Arequipa earthquake. FFT proved effective for spectral analysis of source parameters, while WT provided accurate estimates of radiated energy and rupture duration—key factors for enhancing seismic risk assessment in the region.
Este estudio se centra en la caracterización del terremoto de Arequipa del 23 de junio de 2001, aplicando conjuntamente la Transformada de Fourier (FFT) y la Transformada Wavelet (WT) para estimar los parámetros de fuente y la energía radiada, con el objetivo de mejorar la gestión del riesgo sísmico en el sur de Perú. Los resultados de FFT mostraron momentos sísmicos entre 3.55×10¹⁶ y 1.41×10¹⁸ N·m, caídas de estrés entre 0.46 y 3.99 MPa, y radios de fractura de 0.61 a 1.94 km. La WT permitió estimar frecuencias dominantes entre 0.18–0.24 Hz, energía radiada entre 24.52 y 32.19 J, y duraciones de ruptura entre 40.02 y 105.98 s. El uso combinado de FFT y WT permitió una caracterización más detallada del terremoto de 2001. La FFT resultó eficaz para el análisis espectral de los parámetros de fuente, mientras que la WT proporcionó estimaciones precisas de la energía radiada y la duración de la ruptura, factores clave para mejorar la evaluación del riesgo sísmico en la región.
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