Volume 45 Issue 1
Jan.  2023
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Sun Y X,Xu G L. 2023. A transfer function based on Laplace transform for correcting narrow-frequency velocity recording. Acta Seismologica Sinica,45(1):107−115 doi: 10.11939/jass.20210182
Citation: Sun Y X,Xu G L. 2023. A transfer function based on Laplace transform for correcting narrow-frequency velocity recording. Acta Seismologica Sinica45(1):107−115 doi: 10.11939/jass.20210182

A transfer function based on Laplace transform for correcting narrow-frequency velocity recording

doi: 10.11939/jass.20210182
  • Received Date: 2021-11-29
  • Rev Recd Date: 2022-05-17
  • Available Online: 2022-09-15
  • Publish Date: 2023-01-17
  • Affected by the flat response range of the narrow-band seismograph, the narrow-band velocity recording has the problem of low-frequency component distortion, which limits the usable range of the seismic recording. To solve this problem, this paper deduces an improved transfer function based on the Laplace transform and bilinear transform to realize the correction from narrow-band seismic records to broadband ones. And then the Japanese Hi-net velocity records are used as an example for correction, and the corrected velocity records are compared with the KiK-net acceleration integral velocity records from the same station. The results show that the original velocity records are distorted at low frequencies, while the corrected waveforms are consistent with the KiK-net acceleration integral velocity records. The analyse show that the improved transfer function can effectively solve the distortion of the low-frequency components in the original velocity records, which effectively widens the usable range of low-frequency. Moreover, compared with the Nakata-corrected velocity recording method, the velocity recording corrected with the transfer function given in this paper is more accurate in terms of amplitude and waveform.


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  • [1]
    Feng J,Gao M T,Xu G Y,Chen K. 2013. A comparative study on Hi-net velocity differential and KiK-net acceleration[J]. Acta Seismologica Sinica,35(6):902–913 (in Chinese).
    Jin X,Ma Q,Li S Y. 2004. Real-time simulation of ground displacement and acceleration using digital velocity record[J]. Earthquake Engineering and Engineering Vibration,24(6):9–14 (in Chinese).
    Li Y Z,Jin Z,Liang Y D,Yu S P,Liu L T. 2012. Study of simulation speed and displacement time history recorded by digital acceleration[J]. Journal of Disaster Prevention and Reduction,28(3):32–36 (in Chinese).
    Ma Q,Jin X,Li S Y. 2003. Real-time algorithm of seismic dynamic response for SDOF system[J]. Earthquake Engineering and Engineering Vibration,23(5):61–68 (in Chinese).
    Pan Y Y,Mou J Y,Xie Y Y,Fu H,Zhang Q. 2019. Consistency analysis of seismic records and strong motion records in Guangxi:Taking the Guangxi Beiliu MS5.2 earthquake as an example[J]. North China Earthquake Sciences,37(S1):38–42 (in Chinese).
    Ren X,Liu R F,Yang H,Xu Z G,Sun L,Huang Z B,Zou L Y. 2009. The status and transfer function of instruments deployed in China Digital Seismological Networks[J]. Seismological and Geomagnetic Observation and Research,30(5):113–119 (in Chinese).
    Sheng Q,Cui Z,Liu J J,Leng X L. 2012. Application study of transfer function for seismic response analysis of underground engineering[J]. Rock and Soil Mechanics,33(8):2253–2258 (in Chinese).
    Wen X K,Yuan Y,Tang J M,Liu S,Chen M C. 2020. Analysis and application of velocity and acceleration geophone in ultra deep seismic exploration:A case study of Chishui area in south Sichuan basin[J]. Progress in Geophysics,35(4):1489–1496 (in Chinese).
    Xie J B. 2014. Deconvolution,simulation of seismic records in the time domain and application in the relative measurements of seismometer orientation[J]. Chinses Journal of Geophysics,57(1):167–178.
    Yang X M,Guo Q H. 2007. The modified method for determining design ground motions of 2D complex engineering site[J]. World Earthquake Engineering,23(2):112–117 (in Chinese).
    Yu Y X, Wang S Y, Hu Y X. 1999. Calculation of long-period ground motion response spectrum using broadband digital records[C]//Celebration of the 20th Anniversary of the Founding of China Seismological Society. Beijing: Seismological Press: 113–121 (in Chinese).
    Zhang N,Xu G L. 2022. Calculation of earthquake response spectrum based on Hi-net velocity records[J]. Earthquake Engineering and Engineering Dynamics,42(1):243–249 (in Chinese).
    Zhou Y Y,Cai Y X,Lü Y Q,Cheng J L. 2002. Design of CT-1 transfer function test system of seismometer[J]. Journal of Geodesy and Geodynamics,22(3):117–121 (in Chinese).
    Maeda T,Obara K,Furumura T,Saito T. 2011. Interference of long-period seismic wavefield observed by the dense Hi-net array in Japan[J]. J Geophys Res:Solid Earth,116(B10):B10303. doi: 10.1029/2011JB008464
    Nakata N. 2013. Combination of Hi-net and KiK-net data for deconvolution interferometry[J]. Bull Seismol Soc Am,103(6):3073–3082. doi: 10.1785/0120130101
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