Seismic Array Measurements in the Italian Candidate Site for the Einstein Telescope, the Third-Generation Gravitational Wave Detector
DOI:
https://doi.org/10.26443/seismica.v5i1.1809Keywords:
Ambient seismic noise, Seismic nodal array, beamforming, site characterizationAbstract
Geophysical investigations and studies on the local seismic noise are of paramount importance for evaluating the candidate locations for hosting Einstein Telescope (ET), the third-generation gravitational wave detector. In the Italian candidate site, several active and passive geophysical acquisitions have been carried out, mainly focusing on the imaging of the shallow subsurface, while a full characterization of the noise wavefield was lacking. In this work, we present the results from three temporary seismic arrays installed at the Italian candidate site, each with different geometrical layouts, recording durations, and total numbers of stations. Here, we provide an overview on the seismic noise characteristics and its azimuthal distribution, obtained through beamforming. Moreover, we leverage the noise recordings to extract (i) Rayleigh wave dispersion curves using fk analysis, which are then inverted to obtain a one-dimensional, shear-wave velocity model of the subsurface and (ii) HVSR spectra across all arrays' stations. The recordings confirm the exceptionally low level of seismic noise approaching Peterson's New Low Noise Model for frequencies > 1 Hz. The arrays allowed to reliably reconstruct the seismic wavefield in the 10–20 Hz range, showing an almost azimuthally homogeneous noise source distribution, with slowness values between 0.4 and 0.5 s/km. The inversion of dispersion curves in the same frequency range highlighted a rather homogeneous, high-velocity terrain (VS=2–3 km/s) in the first 100 m. The flat HVSR spectra across all arrays excludes the presence of a resonant, low-velocity layer at shallow depth.
References
Agostinetti, N. P., & Malinverno, A. (2010). Receiver function inversion by trans-dimensional Monte Carlo sampling. Geophysical Journal International. https://doi.org/10.1111/j.1365-246x.2010.04530.x DOI: https://doi.org/10.1111/j.1365-246X.2010.04530.x
Avino, S., Calloni, E., Caprara, S., De Laurentis, M., De Rosa, R., Di Girolamo, T., Errico, L., Gagliardi, G., Grilli, M., Mangano, V., Marsella, M. A., Naticchioni, L., Pepe, G. P., Perciballi, M., Pillant, G., Puppo, P., Rapagnani, P., Ricci, F., Rosa, L., … Tagliacozzo, A. (2019). Progress in a Vacuum Weight Search Experiment. Physics, 2(1), 1–13. https://doi.org/10.3390/physics2010001 DOI: https://doi.org/10.3390/physics2010001
Badaracco, F., & Harms, J. (2019). Optimization of seismometer arrays for the cancellation of Newtonian noise from seismic body waves. Classical and Quantum Gravity, 36(14). https://doi.org/10.1088/1361-6382/ab28c1 DOI: https://doi.org/10.1088/1361-6382/ab28c1
Beker, M. G., Cella, G., DeSalvo, R., Doets, M., Grote, H., Harms, J., Hennes, E., Mandic, V., Rabeling, D. S., van den Brand, J. F. J., & van Leeuwen, C. M. (2010). Improving the sensitivity of future GW observatories in the 1–10 Hz band: Newtonian and seismic noise. General Relativity and Gravitation, 43(2), 623–656. https://doi.org/10.1007/s10714-010-1011-7 DOI: https://doi.org/10.1007/s10714-010-1011-7
Beyreuther, M., Barsch, R., Krischer, L., Megies, T., Behr, Y., & Wassermann, J. (2010). ObsPy: A Python toolbox for seismology. Seismological Research Letters, 81(3), 530–533. http://dx.doi.org/10.1785/gssrl.81.3.530 DOI: https://doi.org/10.1785/gssrl.81.3.530
Bodin, T., Sambridge, M., Tkalčić, H., Arroucau, P., Gallagher, K., & Rawlinson, N. (2012). Transdimensional inversion of receiver functions and surface wave dispersion. Journal of Geophysical Research: Solid Earth, 117(B2). https://doi.org/10.1029/2011jb008560 DOI: https://doi.org/10.1029/2011JB008560
Bonnefoy-Claudet, S., Kohler, A., Cornou, C., Wathelet, M., & Bard, P.-Y. (2008). Effects of Love Waves on Microtremor H/V Ratio. Bulletin of the Seismological Society of America, 98(1), 288–300. https://doi.org/10.1785/0120070063 DOI: https://doi.org/10.1785/0120070063
Carmignani, L., Conti, P., FUNEDDA, A. L., Oggiano, G., Pasci, S., & others. (2012). La geologia della Sardegna. Geological Field Trips, 4(2.2), 1–104. DOI: https://doi.org/10.3301/GFT.2012.04
Casini, L., Cuccuru, S., Puccini, A., Oggiano, G., & Rossi, Ph. (2015). Evolution of the Corsica–Sardinia Batholith and late-orogenic shearing of the Variscides. Tectonophysics, 646, 65–78. https://doi.org/10.1016/j.tecto.2015.01.017 DOI: https://doi.org/10.1016/j.tecto.2015.01.017
Cheng, T., Cox, B. R., Vantassel, J. P., & Manuel, L. (2020). A statistical approach to account for azimuthal variability in single-station HVSR measurements. Geophysical Journal International, 223(2). https://doi.org/10.1093/gji/ggaa342 DOI: https://doi.org/10.1093/gji/ggaa342
Cheng, T., Hallal, M. M., Vantassel, J. P., & Cox, B. R. (2021). Estimating Unbiased Statistics for Fundamental Site Frequency Using Spatially Distributed HVSR Measurements and Voronoi Tessellation. Journal of Geotechnical and Geoenvironmental Engineering, 147(8). https://doi.org/10.1061/(asce)gt.1943-5606.0002551 DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0002551
Cox, B. R., Cheng, T., Vantassel, J. P., & Manuel, L. (2020). A statistical representation and frequency-domain window-rejection algorithm for single-station HVSR measurements. Geophysical Journal International, 221(3), 2170–2183. https://doi.org/10.1093/gji/ggaa119 DOI: https://doi.org/10.1093/gji/ggaa119
Danecek, P., Pintore, S., Mazza, S., Mandiello, A., Fares, M., Carluccio, I., Della Bina, E., Franceschi, D., Moretti, M., Lauciani, V., Quintiliani, M., & Michelini, A. (2021). The Italian Node of the European Integrated Data Archive. Seismological Research Letters, 92(3), 1726–1737. https://doi.org/10.1785/0220200409 DOI: https://doi.org/10.1785/0220200409
Di Vincenzo, G., Carosi, R., & Palmeri, R. (2004). The relationship between tectono-metamorphic evolution and argon isotope records in white mica: Constraints from in situ ⁴⁰Ar–³⁹Ar laser analysis of the Variscan basement of Sardinia. Journal of Petrology, 45(5), 1013–1043. https://doi.org/10.1093/petrology/egh002 DOI: https://doi.org/10.1093/petrology/egh002
Di Vincenzo, G., Ghezzo, C., & Tonarini, S. (1994). Geochemistry and Rb-Sr geochronology of the Hercynian peraluminous Sos Canales pluton (central Sardinia, Italy). Comptes Rendus de l’Académie Des Sciences. Série 2. Sciences de La Terre et Des Planètes, 319(7), 783–790.
Diaferia, G., Giunchi, C., Olivieri, M., Molinari, I., Di Felice, F., Contu, A., D’Urso, D., Naticchioni, L., Rozza, D., Harms, J., Cardini, A., De Rosa, R., Di Giovanni, M., Mangano, V., Ricci, F., Trozzo, L., & Murineddu, C. (2024). Seismic noise characterisation for the Buddusò – Ala dei Sardi wind park (Sardinia, Italy) and its impact on the Einstein Telescope candidate site. EGUsphere. https://doi.org/10.5194/egusphere-2024-3600 DOI: https://doi.org/10.5194/egusphere-2024-3600
Douze, E. J., & Laster, S. J. (1979). Statistics of semblance. Geophysics, 44(12), 1999–2003. https://doi.org/10.1190/1.1440953 DOI: https://doi.org/10.1190/1.1440953
Harms, J. (2019). Terrestrial gravity fluctuations. Living Reviews in Relativity, 22(1). https://doi.org/10.1007/s41114-019-0022-2 DOI: https://doi.org/10.1007/s41114-019-0022-2
Havenith, H.-B., & others. (2004). Guidelines for the implementation of the H-V spectral ratio technique on ambient vibrations: measurements, processing and interpretation [Techreport]. European Commission.
Hutt, C. R., Ringler, A. T., & Gee, L. S. (2017). Broadband Seismic Noise Attenuation versus Depth at the Albuquerque Seismological Laboratory. Bulletin of the Seismological Society of America, 107(3), 1402–1412. https://doi.org/10.1785/0120160187 DOI: https://doi.org/10.1785/0120160187
Kennett, B. L. N., Stipčević, J., & Gorbatov, A. (2015). Spiral-arm seismic arrays. Bulletin of the Seismological Society of America, 105(4). https://doi.org/10.1785/0120140354 DOI: https://doi.org/10.1785/0120140354
Kvaerna, T., & Ringdahl, F. (1986). Stability of various f-k estimation techniques. Semiannual Technical Summary, 1-86/87, 29–40.
Lachetl, C., & Bard, P.-Y. (1994). Numerical and theoretical investigations on the possibilities and limitations of Nakamura’s technique. Journal of Physics of the Earth, 42(5), 377–397. https://doi.org/10.4294/jpe1952.42.377 DOI: https://doi.org/10.4294/jpe1952.42.377
Lermo, J., & Chávez-García, F. J. (1993). Site effect evaluation using spectral ratios with only one station. Bulletin of the Seismological Society of America, 83(5), 1574–1594. https://doi.org/10.1785/bssa0830051574 DOI: https://doi.org/10.1785/BSSA0830051574
Magrini, F., He, J., & Sambridge, M. (2025). BayesBay: A Versatile Bayesian Inversion Framework Written in Python. Seismological Research Letters, 96(3), 2052–2064. https://doi.org/10.1785/0220240275 DOI: https://doi.org/10.1785/0220240275
Meletti, C., Camassi, R., & Castelli, V. (2020). A Reappraisal of the Seismicity of Sardinia, Italy. Seismological Research Letters, 92(2A), 1148–1158. https://doi.org/10.1785/0220200255 DOI: https://doi.org/10.1785/0220200255
Mucciarelli, M. (1998). Reliability and applicability of Nakamura’s technique using microtremors: an experimental approach. Journal of Earthquake Engineering, 2(4), 625–638. https://doi.org/10.1080/13632469809350337 DOI: https://doi.org/10.1080/13632469809350337
Mucciarelli, M., & Gallipoli, M. R. (2001). A critical review of 10 years of microtremor HVSR technique. Bollettino Di Geofisica Teorica Ed Applicata, 42(3–4), 255–266.
Nakamura, Y. (1989). A method for dynamic characteristics estimation of subsurface using microtremor on the ground surface. Railway Technical Research Institute, Quarterly Reports, 30(1).
Neidell, N. S., & Taner, M. T. (1971). SEMBLANCE AND OTHER COHERENCY MEASURES FOR MULTICHANNEL DATA. GEOPHYSICS, 36(3). https://doi.org/10.1190/1.1440186 DOI: https://doi.org/10.1190/1.1440186
Nogoshi, M. (1971). On the amplitude characteristics of microtremor, Part II. Journal of the Seismological Society of Japan, 24, 26–40. DOI: https://doi.org/10.4294/zisin1948.24.1_26
Peterson, J. R. (1993). Observations and Modeling of Seismic Background Noise (Open-File Report No. 93–322). U.S. Geological Survey. https://doi.org/10.3133/ofr93322 DOI: https://doi.org/10.3133/ofr93322
Punturo, M., Abernathy, M., Acernese, F., Allen, B., Andersson, N., Arun, K., Barone, F., Barr, B., Barsuglia, M., Beker, M., & others. (2010). The Einstein Telescope: A third-generation gravitational wave observatory. Classical and Quantum Gravity, 27(19), 194002. https://doi.org/10.1088/0264-9381/27/19/194002 DOI: https://doi.org/10.1088/0264-9381/27/19/194002
Rost, S., & Thomas, C. (2009). Improving Seismic Resolution Through Array Processing Techniques. In Arrays and Array Methods in Global Seismology (pp. 3–31). Springer Netherlands. https://doi.org/10.1007/978-90-481-3680-3_2 DOI: https://doi.org/10.1007/978-90-481-3680-3_2
Saccorotti, G., Giunchi, C., D’Ambrosio, M., Gaviano, S., Naticchioni, L., D’Urso, D., Rozza, D., Cardini, A., Contu, A., Dordei, F., & others. (2023). Array analysis of seismic noise at the Sos Enattos mine, the Italian candidate site for the Einstein Telescope. The European Physical Journal Plus, 138(9), 793. https://doi.org/10.1140/epjp/s13360-023-04395-2 DOI: https://doi.org/10.1140/epjp/s13360-023-04395-2
Schweitzer, J., Fyen, J., Mykkeltveit, S., Gibbons, S. J., Pirli, M., Kühn, D., & Kværna, T. (2012). Seismic arrays. In New manual of seismological observatory practice 2 (NMSOP-2) (pp. 1–80). Deutsches GeoForschungsZentrum GFZ.
Tian, D., Leong, W. J., Fröhlich, Y., Grund, M., Schlitzer, W., Jones, M., Toney, L., Yao, J., Tong, J.-H., Magen, Y., Materna, K., Belem, A., Newton, T., Anant, A., Ziebarth, M., Quinn, J., He, X., Uieda, L., & Wessel, P. (2026). PyGMT: A Python interface for the Generic Mapping Tools. Zenodo. https://doi.org/10.5281/ZENODO.18080259
Tkalčić, H. (2015). Complex inner core of the Earth: The last frontier of global seismology. Reviews of Geophysics, 53(1), 59–94. https://doi.org/10.1002/2014rg000469 DOI: https://doi.org/10.1002/2014RG000469
Vantassel, J. (2024). jpvantassel/hvsrpy: v2.0.0. Zenodo. https://doi.org/10.5281/ZENODO.12735911
Villani, F., Maraio, S., Improta, L., De Martini, P. M., Cavallaro, D., Firetto Carlino, M., Brunori, C. A., Longo, V., Casini, L., Caradonna, M. C., Zei, C., Rapisarda, S., Oggiano, G., Giunchi, C., Saccorotti, G., Coltelli, M., D’Urso, D., Naticchioni, L., Ricci, F., … Cardello, G. L. (2025). Subsurface characterization of crystalline rocks at the Einstein Telescope candidate site (Italy): Insights from seismic tomography, geoelectrical and morphostructural analyses. Tectonophysics, 911, 230830. https://doi.org/10.1016/j.tecto.2025.230830 DOI: https://doi.org/10.1016/j.tecto.2025.230830
Wathelet, M., Chatelain, J.-L., Cornou, C., Giulio, G. D., Guillier, B., Ohrnberger, M., & Savvaidis, A. (2020). Geopsy: A User-Friendly Open-Source Tool Set for Ambient Vibration Processing. Seismological Research Letters, 91(3), 1878–1889. https://doi.org/10.1785/0220190360 DOI: https://doi.org/10.1785/0220190360
Welch, P. (1967). The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms. IEEE Transactions on Audio and Electroacoustics, 15(2). https://doi.org/10.1109/tau.1967.1161901 DOI: https://doi.org/10.1109/TAU.1967.1161901
Xiao, W., & Wang, Y. (2022). Characteristics of Horizontal to Vertical Spectral Ratio of InSight Seismic Data From Mars. Journal of Geophysical Research: Planets, 127(6). https://doi.org/10.1029/2020je006813 DOI: https://doi.org/10.1029/2020JE006813
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Copyright (c) 2026 Giovanni Diaferia, Marco Olivieri, Irene Molinari, Annalisa Allocca, Enrico Calloni, Giovanni Luca Cardello, Andrea Contu, Domenico D'Urso, Rosario De Rosa, Matteo Di Giovanni, Luciano Errico, Luca Naticchioni, Davide Rozza, Lucia Trozzo, Carlo Giunchi

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Ministero dell'Università e della Ricerca
Grant numbers CUP D53C22001400005

