Microtremor signal simulation and its application in microtremor exploration
LI Chuan-Jin1,2,3(), WANG Qiang1, JIAN Xiang1, ZHENG Tao1, ZHAN Su-Hua1,2, CHEN Shao-Wei1
1. School of Civil Engineering,Fujian University of Technology,Fuzhou 350118,China 2. Institute of Geotechnical Engineering,Fujian University of Technology,Fuzhou 350118,China 3. Key Laboratory of Underground Engineering in Universities of Fujian Province,Fujian University of Technology,Fuzhou 350118,China
This study synthesized microtremor signals using the normal mode superposition.The dispersion curves of the synthesized microtremor signals were calculated using the spatial autocorrelation method,and the calculated results agreed well with theoretical dispersion curves.The simulation of microtremor signals involves many parameters,which are of great significance for microtremor exploration.As shown by results from numerical experiments of these parameters,the hypocentral distance and array size had a significant influence on the results.Moreover,high-order surface waves should be considered for complex strata,while small-size arrays tended to yield high-frequency dispersion information at quiet observation sites,thus improving the resolution of shallow strata.Therefore,it is necessary to consider the influences of hypocenter distribution,array size,and high-order surface waves on exploration results in microtremor exploration.
Xu P, Ling S, Long G, et al. ESPAC-based 2D mini-array microtremor method and its application in urban rail transit construction planning[J]. Tunnelling and Underground Space Technology, 2021, 115(3):104070.
doi: 10.1016/j.tust.2021.104070
Xu P F, Shi W, Ling S Q, et al. Mapping spherically weathered "Boulders" using 2D microtremor profiling method:A case study along subway line 7 in Shenzhen[J]. Chinese Journal of Geophysics, 2012, 55(6):2120-2128.
Du Y N, Xu P F, Ling S Q. Microtremor survey of soil-rock mixture landslides:An example of Baidian township,Heng yang City[J]. Chinese Journal of Geophysics, 2018, 61(4):1596-1604.
Xu H, Wu X P, Sheng Y, et al. Application of microtremor survey method in detection of urban land subsidence[J]. Geophysical and Geochemical Exploration, 2021, 45(6):1512-1519.
Li Q L, Zhang H, Lei X D, et al. Analysis of internal structure of slope by using multi-channel transient surface wave exploration and microtremor survey[J]. Geophysical and Geochemical Exploration, 2022, 46(1):258-267.
Li J G, Xie P, Wang Q L, et al. Influence of different array type on the results of microtremor survey[J]. Journal of Geodesy and Geodynamics, 2020, 40(1):98-103.
Xu P F, Du Y N, Ling S Q, et al. Microtremor survey method based on inversion of the SPAC coefficient of multi-mode Rayleigh waves and its application[J]. Chinese Journal of Geophysics, 2020, 63(10):3857-3867.
[8]
Wang J, Wu G, Chen X. Frequency-Bessel transform method for effective imaging of higher-mode Rayleigh dispersion curves from ambient seismic noise data[J]. Journal of Geophysical Research:Solid Earth, 2019, 124(4):3708-3723.
doi: 10.1029/2018JB016595
Li X Y, Chen X F, Yang Z T, et al. Application of high-order surface waves in shallow exploration:An example of the Suzhou river,Shanghai[J]. Chinese Journal of Geophysics, 2020, 63(1):247-255.
Zhou X H, Chen Z B, Zeng X X, et al. Simulation of microtremor using staggered-grid finite difference method[J]. Journal of Jilin University:Earth Science Edition, 2012, 42(3):852-857.
Du Y N. The study on the microtremor survey method based on joint inversion of apparent dispersion curves with consideration of both fundamental and higher modes of Rayleigh waves,and ellipticity curve[D]. Beijing: University of Chinese Academy of Sciences, 2019.
Zhou X H, Lin J, Zhang H Z, et al. Mapping extraction dispersion curves of multi-mode Rayleigh waves in microtremor[J]. Chinese Journal of Geophysics, 2014, 57(8):2631-2643.
[13]
Herrmann R B. Computer programs in seismology:An evolving tool for instruction and research[J]. Seismological Research Letters, 2013, 84(6):1081-1088.
doi: 10.1785/0220110096
[14]
Gilbert F. Excitation of the normal modes of the earth by earthquake sources[J]. Geophysical Journal of the Royal Astronomical Society, 1971, 22(2):223-226.
[15]
Woodhouse J H. The calculation of the eigenfrequencies and eigenfunctions of the free oscillations of the Earth and the Sun[J]. Seismological Algorithms, 1988, 230:321-370.
[16]
Dahlen F A, Tromp J. Theoretical global seismology[M]. Princeton: Princeton University Press, 1998.
[17]
Yang H Y, Zhao L, Hung S H. Synthetic seismograms by normal-mode summation:A new derivation and numerical examples[J]. Geophysical Journal International, 2010, 183(3):1613-1632.
doi: 10.1111/j.1365-246X.2010.04820.x
[18]
Haskell N A. The dispersion of surface waves on multilayered[J]. Bulletin of the Seismological Society America, 1953, 43(1):17-34.
doi: 10.1785/BSSA0430010017
[19]
Knopoff L. A matrix method for elastic wave problems[J]. Bulletin of the Seismological Society of America, 1964, 54(1):431-438.
doi: 10.1785/BSSA0540010431
[20]
Buchen P W, Ben Hador R. Free-mode surface-wave computations[J]. Geophysical Journal International, 1996, 124(3):869-887.
doi: 10.1111/gji.1996.124.issue-3
[21]
Abo Z A. Dispersion function computations for unlimited frequency values[J]. Geophysical Journal International, 1979, 58(1):91-105.
doi: 10.1111/j.1365-246X.1979.tb01011.x
[22]
Chen X F. A systematic and efficient method of computing normal modes for multilayered half-space[J]. Geophysical Journal International, 1993, 115(2):391-409.
doi: 10.1111/gji.1993.115.issue-2
Fan Y H, Liu J Q, Xiao B X. Fast vector-transfer algorithm for computation of Rayleigh wave dispersion curves[J]. Journal of Hunan University:Natural Sciences Edition, 2002, 29(5):25-30.
[24]
Tokimatsu K, Tamura S, Kojima H. Effects of multiple modes on Rayleigh wave dispersion characteristics[J]. Journal of Geotechnical Engineering, 1992, 118(10):1529-1543.
doi: 10.1061/(ASCE)0733-9410(1992)118:10(1529)
[25]
Harkrider D G. Surface waves in multilayered elastic media. I. Rayleigh and Love waves from buried sources in a multilayered elastic half-space[J]. Bulletin of the Seismological Society of America, 1964, 54(2):627-679.
doi: 10.1785/BSSA0540020627
[26]
Ling S Q. Research on the estimation of phase velocities of surface waves in microtremors[D]. Sapporo: Hokkaidou University, 1994.