Seismic wave phase spectrum disturbance method based on real number wavelet transform

Abstract

The invention provides a seismic wave phase spectrum disturbance method based on real number wavelet transform. The seismic wave phase spectrum disturbance method specifically comprises the followingsteps of S1, selecting a target seismic wave, a time shift discrete sampling point and a scale discrete sampling point, S2, conducting wavelet transform on the target seismic waves, so that wavelet coefficients can be obtained, S3, grouping according to an adjacent relationship on a scale domain to obtain a secondary scale and a corresponding secondary wavelet coefficient, S4, defining the phase of the secondary wavelet coefficient, S5, modifying the phase spectrum of the secondary wavelet coefficient to generate a new phase spectrum, and inversely deriving a newly generated wavelet coefficient, and S6, performing inverse transformation by using the newly generated wavelet coefficient to generate random artificial seismic waves. According to the method, the random artificial seismic wavesare generated by disturbing the natural seismic waves, so that the generated artificial waves are high in randomness, and the energy distribution characteristics of the natural waves in the frequencydomain are reserved.

Description

technical field [0001] The invention relates to the technical field of seismic wave synthesis, in particular to a seismic wave phase spectrum perturbation method based on real wavelet transform. Background technique [0002] With the development of urbanization, the height of buildings is increasing day by day, and the shape of plane and facade is becoming more and more complex. As a country with many earthquakes, many major cities in my country have high basic seismic intensity. The collapse of buildings, bridges, factories and other places has disastrous consequences, which not only causes heavy losses to the national economy, but also endangers the lives and property of the people. Therefore, the seismic safety analysis of building structures has important economic and political significance. In actual engineering seismic design, the conventional elastic response spectrum analysis can no longer satisfy the seismic response analysis under large earthquakes, but it is neces...

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Problems solved by technology

Therefore, it is difficult to ensure that the energy of seismic waves remains unchanged when using complex wavelet transform to disturb natural waves (Honda R, Khatri P P. 2012. Discrete analytic signal wavelet decomposition for phase localized in time-frequency domain for generation of stochastic signal with phase uncertainty[C]. Lisboa: 15 th WCEE.) (Xie Haoyu, Honda Sharp, Zheng Wanshan. 2019. The method of complex continuous wavelet transform to realize the random phase of seismic wave in arbitrary time-frequency domain[J]. Earthquake Research, 2019(4):510-515.)

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