Atmospheric Signals Recorded by Seismometers in the Sub-Seismic Frequency Band
DOI:
https://doi.org/10.26443/seismica.v5i1.2015Abstract
Broadband seismometers, though designed to record ground motion generated by earthquakes, are also sensitive to a wide range of other processes occurring at the interface between the solid Earth, oceans, and atmosphere, often considered noise. In the sub-seismic band (1–24 hours), they can detect tidal signals but are limited by self-noise for weaker Earth and atmospheric processes. By applying a coherence-based network stacking technique to large seismic arrays, we identify weak, periodic gravity signals at these frequencies. Using three years of collocated vertical seismic and pressure data from USArray, we demonstrate the atmospheric origin of these oscillations. Coherence and transfer function analysis reveal strong links between pressure and seismic acceleration at atmospheric tide periods. The transfer function shows frequency dependence consistent with superconducting gravimeter observations, and its consistently negative phase indicates that pressure increases correspond to decreases in gravitational acceleration. This confirms Newtonian attraction from atmospheric mass changes as the dominant mechanism. Our results show that network stacks of broadband seismometers can detect atmospheric gravity variations as small as 10–100 nanogals, demonstrating their value for gravimetry and for observing atmospheric dynamics. This approach also provides a framework to estimate atmospheric noise in the sub-seismic range, improving the detection of solid Earth signals once such contamination is removed.
References
Agnew, D. C. (2009). Earth Tides. In G. Schubert (Ed.), Treatise on Geophysics (Vol. 3, pp. 163–195). Elsevier. https://doi.org/10.1016/B978-044452748-6.00060-3 DOI: https://doi.org/10.1016/B978-044452748-6.00056-0
Barajas, A., Shapiro, N., & Prieto, G. (2024). Differential phase analysis for volcanic tremor detection and source location. EGU General Assembly 2024, EGU24-16604. https://doi.org/10.5194/egusphere-egu24-16604 DOI: https://doi.org/10.5194/egusphere-egu24-16604
Beauduin, R., Lognonné, P., Montagner, J. P., Cacho, S., Karczewski, J. F., & Morand, M. (1996). The effects of the atmospheric pressure changes on seismic signals or how to improve the quality of a station. Bulletin of the Seismological Society of America, 86(6), 1760–1769. https://doi.org/10.1785/bssa0860061760 DOI: https://doi.org/10.1785/BSSA0860061760
Bendat, J. S., & Piersol, A. G. (2010). Random Data: Analysis and Measurement Procedures. In Wiley Series in Probability and Statistics. Wiley. https://doi.org/10.1002/9781118032428 DOI: https://doi.org/10.1002/9781118032428
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. https://doi.org/10.1785/gssrl.81.3.530 DOI: https://doi.org/10.1785/gssrl.81.3.530
Boy, J.-P., Gegout, P., & Hinderer, J. (2002). Reduction of surface gravity data from global atmospheric pressure loading. Geophysical Journal International, 149(2), 534–545. https://doi.org/10.1046/j.1365-246x.2002.01667.x DOI: https://doi.org/10.1046/j.1365-246X.2002.01667.x
Boy, J.-P., Hinderer, J., & Gegout, P. (1998). Global atmospheric loading and gravity. Physics of the Earth and Planetary Interiors, 109(3–4), 161–177. DOI: https://doi.org/10.1016/S0031-9201(98)00122-8
Boy, J.-P., Llubes, M., Ray, R., Hinderer, J., Florsch, N., Rosat, S., Lyard, F., & Letellier, T. (2004). Non-linear oceanic tides observed by superconducting gravimeters in Europe. Journal of Geodynamics, 38(3–5), 391–405. https://doi.org/10.1016/j.jog.2004.07.017 DOI: https://doi.org/10.1016/j.jog.2004.07.017
Crossley, D., Hinderer, J., & Riccardi, U. (2013). The measurement of surface gravity. Reports on Progress in Physics, 76(4), 046101. https://doi.org/10.1088/0034-4885/76/4/046101 DOI: https://doi.org/10.1088/0034-4885/76/4/046101
Crossley, D. J., Jensen, O. G., & Hinderer, J. (1995). Effective barometric admittance and gravity residuals. Physics of the Earth and Planetary Interiors, 90(3–4), 221–241. https://doi.org/10.1016/0031-9201(95)05086-q DOI: https://doi.org/10.1016/0031-9201(95)05086-Q
Crossley, David. J., Rochester, M. G., & Peng, Z. R. (1992). Slichter modes and Love numbers. Geophysical Research Letters, 19(16), 1679–1682. https://doi.org/10.1029/92gl01574 DOI: https://doi.org/10.1029/92GL01574
Cummins, P., Wahr, J. M., Agnew, D. C., & Tamura, Y. (1991). Constraining core undertones using stacked IDA gravity records. Geophysical Journal International, 106(1), 189–198.
Dahlen, F. A., & Tromp, J. (1999). Theoretical Global Seismology. Princeton University Press. https://doi.org/10.1515/9780691216157 DOI: https://doi.org/10.1515/9780691216157
Davis, P., & Berger, J. (2007). Calibration of the Global Seismographic Network Using Tides. Seismological Research Letters, 78(4), 454–459. https://doi.org/10.1785/gssrl.78.4.454 DOI: https://doi.org/10.1785/gssrl.78.4.454
Forbes, J. M., & Garrett, H. B. (1979). Theoretical studies of atmospheric tides. Reviews of Geophysics, 17(8), 1951–1981. https://doi.org/10.1029/rg017i008p01951 DOI: https://doi.org/10.1029/RG017i008p01951
Freybourger, M., Hinderer, J., & Trampert, J. (1997). Comparative study of superconducting gravimeters and broadband seismometers STS-1/Z in seismic and subseismic frequency bands. Physics of the Earth and Planetary Interiors, 101(3–4), 203–217. https://doi.org/10.1016/s0031-9201(97)00003-4 DOI: https://doi.org/10.1016/S0031-9201(97)00003-4
Guzewich, S. D., Newman, C., de La Torre Juárez, M., Wilson, R., Lemmon, M., Smith, M., Kahanpää, H., Harri, A.-M., Team, R. S., & Team, M. S. (2016). Atmospheric tides in Gale Crater, Mars. Icarus, 268, 37–49. https://doi.org/10.1016/j.icarus.2015.12.028 DOI: https://doi.org/10.1016/j.icarus.2015.12.028
Hagan, M. E., & Forbes, J. M. (2002). Migrating and nonmigrating diurnal tides in the middle and upper atmosphere excited by tropospheric latent heat release. Journal of Geophysical Research: Atmospheres, 107(D24). https://doi.org/10.1029/2001jd001236 DOI: https://doi.org/10.1029/2001JD001236
Harris, C. R., Millman, K. J., van der Walt, S. J., Gommers, R., Virtanen, P., Cournapeau, D., Wieser, E., Taylor, J., Berg, S., Smith, N. J., Kern, R., Picus, M., Hoyer, S., van Kerkwijk, M. H., Brett, M., Haldane, A., del Río, J. F., Wiebe, M., Peterson, P., … Oliphant, T. E. (2020). Array programming with NumPy. Nature, 585(7825), 357–362. https://doi.org/10.1038/s41586-020-2649-2 DOI: https://doi.org/10.1038/s41586-020-2649-2
He, M., Forbes, J. M., Chau, J. L., & others. (2019). High-order solar migrating tides quench at SSW onsets. ESS Open Archive. https://doi.org/10.1002/essoar.10501510.1 DOI: https://doi.org/10.1002/essoar.10501510.1
He, M., Forbes, J. M., Jacobi, C., Li, G., Liu, L., Stober, G., & Wang, C. (2024). Observational verification of high-order solar tidal harmonics in the Earth’s atmosphere. Geophysical Research Letters, 51(8). https://doi.org/10.1029/2024gl108439 DOI: https://doi.org/10.1029/2024GL108439
Hedlin, M. A. H., de Groot‐Hedlin, C. D., Forbes, J. M., & Drob, D. P. (2018). Solar Terminator Waves in Surface Pressure Observations. Geophysical Research Letters, 45(10), 5213–5219. https://doi.org/10.1029/2018gl078528 DOI: https://doi.org/10.1029/2018GL078528
Hernández‐Bernal, J., Spiga, A., Forget, F., & Banfield, D. (2024). High‐Order Harmonics of Thermal Tides Observed in the Atmosphere of Mars by the Pressure Sensor on the InSight Lander. Geophysical Research Letters, 51(8). https://doi.org/10.1029/2023gl107674 DOI: https://doi.org/10.1029/2023GL107674
Hinderer, J., Hector, B., Boy, J.-P., Riccardi, U., Rosat, S., Calvo, M., & Littel, F. (2014). A search for atmospheric effects on gravity at different time and space scales. Journal of Geodynamics, 80, 50–57. https://doi.org/10.1016/j.jog.2014.02.001 DOI: https://doi.org/10.1016/j.jog.2014.02.001
Hupe, P., Ceranna, L., & Pilger, C. (2018). Using barometric time series of the IMS infrasound network for a global analysis of thermally induced atmospheric tides. Atmospheric Measurement Techniques, 11(4), 2027–2040. https://doi.org/10.5194/amt-11-2027-2018 DOI: https://doi.org/10.5194/amt-11-2027-2018
IRIS Transportable Array. (2003). USArray Transportable Array. International Federation of Digital Seismograph Networks. https://doi.org/10.7914/SN/TA
Lambotte, S., Rivera, L., & Hinderer, J. (2006). Vertical and horizontal seismometric observations of tides. Journal of Geodynamics, 41(1–3), 39–58. https://doi.org/10.1016/j.jog.2005.08.021 DOI: https://doi.org/10.1016/j.jog.2005.08.021
Lindzen, R. S., & Chapman, S. (1969). Atmospheric tides. Space Science Reviews, 10, 3–188. DOI: https://doi.org/10.1007/BF00171584
Martynov, V. G., Astiz, L., Kilb, D., & Vernon, F. L. (2020). The M₂ Tidal Tilt Results from USArray Seismic Data from the Western United States. Bulletin of the Seismological Society of America, 110(6), 3196–3210. https://doi.org/10.1785/0120190314 DOI: https://doi.org/10.1785/0120190314
Merriam, J. B. (1992). Atmospheric pressure and gravity. Geophysical Journal International, 109(3), 488–500. https://doi.org/10.1111/j.1365-246x.1992.tb00112.x DOI: https://doi.org/10.1111/j.1365-246X.1992.tb00112.x
Merriam, J. B. (1995). Non-linear tides observed with the superconducting gravimeter. Geophysical Journal International, 123(2), 529–540. https://doi.org/10.1111/j.1365-246x.1995.tb06869.x DOI: https://doi.org/10.1111/j.1365-246X.1995.tb06869.x
Orlanski, I. (1975). A rational subdivision of scales for atmospheric processes. Bulletin of the American Meteorological Society, 527–530.
Pahlavan, H. A., Wallace, J. M., & Fu, Q. (2023). Characteristics of Tropical Convective Gravity Waves Resolved by ERA5 Reanalysis. Journal of the Atmospheric Sciences, 80(3), 777–795. https://doi.org/10.1175/jas-d-22-0057.1 DOI: https://doi.org/10.1175/JAS-D-22-0057.1
Peralta, J., Luz, D., Berry, D. L., Tsang, C. C. C., Sánchez-Lavega, A., Hueso, R., Piccioni, G., & Drossart, P. (2012). Solar migrating atmospheric tides in the winds of the polar region of Venus. Icarus, 220(2), 958–970. https://doi.org/10.1016/j.icarus.2012.06.015 DOI: https://doi.org/10.1016/j.icarus.2012.06.015
Poli, P., Majstorović, J., Mikesell, T. D., & Lott, M. (2025). Toward Unraveling Sub‐Seismic Frequency Signals Using Stacked Global Broadband Seismological Data. Geophysical Research Letters, 52(6). https://doi.org/10.1029/2024gl114211 DOI: https://doi.org/10.1029/2024GL114211
Rosat, S., Calvo, M., Hinderer, J., Riccardi, U., Arnoso, J., & Zürn, W. (2014). Comparison of the performances of different spring and superconducting gravimeters and STS-2 seismometer at the Gravimetric Observatory of Strasbourg, France. Studia Geophysica et Geodaetica, 59(1), 58–82. https://doi.org/10.1007/s11200-014-0830-5 DOI: https://doi.org/10.1007/s11200-014-0830-5
Rosat, S., Hinderer, J., Crossley, D., & Rivera, L. (2003). The search for the Slichter mode: comparison of noise levels of superconducting gravimeters and investigation of a stacking method. Physics of the Earth and Planetary Interiors, 140(1–3), 183–202. https://doi.org/10.1016/j.pepi.2003.07.010 DOI: https://doi.org/10.1016/j.pepi.2003.07.010
Sakazaki, T., & Hamilton, K. (2020). An Array of Ringing Global Free Modes Discovered in Tropical Surface Pressure Data. Journal of the Atmospheric Sciences, 77(7), 2519–2539. https://doi.org/10.1175/jas-d-20-0053.1 DOI: https://doi.org/10.1175/JAS-D-20-0053.1
Sánchez-Lavega, A., del Rio-Gaztelurrutia, T., Hueso, R., Juárez, M. de la T., Martı́nez, G., Harri, A.-M., Genzer, M., Hieta, M., Polkko, J., Rodrı́guez-Manfredi, J., & others. (2023). Mars 2020 Perseverance rover studies of the Martian atmosphere over Jezero from pressure measurements. Journal of Geophysical Research: Planets, 128(1), e2022JE007480. DOI: https://doi.org/10.1029/2022JE007480
Santos, A. M., Yang, G., Pimenta, A. A., Brum, C. G. M., Batista, I. S., Sobral, J. H. A., Andrioli, V. F., Batista, P. P., Abdu, M. A., Souza, J. R., Manoharan, P. K., Wang, C., Li, H., & Liu, Z. (2024). Climatology of atmospheric solar tidal mode effects on ionospheric F2 parameters over the American sector during solar minimum between cycles# 23 and# 24. Frontiers in Astronomy and Space Sciences, 11. https://doi.org/10.3389/fspas.2024.1325218 DOI: https://doi.org/10.3389/fspas.2024.1325218
Siebert, M. (1961). Atmospheric Tides. In H. E. Landsberg & J. V. Mieghem (Eds.), Advances in Geophysics (Vol. 7, pp. 105–187). Elsevier. https://doi.org/10.1016/S0065-2687(08)60362-3 DOI: https://doi.org/10.1016/S0065-2687(08)60362-3
Takano, T., & Poli, P. (2024). Coherence-based characterization of a long-period monochromatic seismic signal. Authorea. https://doi.org/10.22541/au.173030428.85120620/v1 DOI: https://doi.org/10.22541/au.173030428.85120620/v1
Tytell, J., Vernon, F., Hedlin, M., de Groot Hedlin, C., Reyes, J., Busby, B., Hafner, K., & Eakins, J. (2016). The USArray Transportable Array as a Platform for Weather Observation and Research. Bulletin of the American Meteorological Society, 97(4), 603–619. https://doi.org/10.1175/bams-d-14-00204.1 DOI: https://doi.org/10.1175/BAMS-D-14-00204.1
Van Rossum, G., & Drake, F. L. (2009). Python 3 Reference Manual. CreateSpace.
Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T., Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., van der Walt, S. J., Brett, M., Wilson, J., Millman, K. J., Mayorov, N., Nelson, A. R. J., Jones, E., Kern, R., Larson, E., … SciPy 1.0 Contributors. (2020). SciPy 1.0: fundamental algorithms for scientific computing in Python. Nature Methods, 17(3), 261–272. https://doi.org/10.1038/s41592-019-0686-2 DOI: https://doi.org/10.1038/s41592-020-0772-5
Warburton, R. J., & Goodkind, J. M. (1977). The influence of barometric-pressure variations on gravity. Geophysical Journal International, 48(3), 281–292. https://doi.org/10.1111/j.1365-246x.1977.tb03672.x DOI: https://doi.org/10.1111/j.1365-246X.1977.tb03672.x
Watanabe, S., Hamilton, K., Sakazaki, T., & Nakano, M. (2022). First Detection of the Pekeris Internal Global Atmospheric Resonance: Evidence from the 2022 Tonga Eruption and from Global Reanalysis Data. https://doi.org/10.1002/essoar.10510971.1 DOI: https://doi.org/10.1002/essoar.10510971.1
Zürn, W., Exß, J., Steffen, H., Kroner, C., Jahr, T., & Westerhaus, M. (2007). On reduction of long-period horizontal seismic noise using local barometric pressure. Geophysical Journal International, 171(2), 780–796. https://doi.org/10.1111/j.1365-246x.2007.03553.x DOI: https://doi.org/10.1111/j.1365-246X.2007.03553.x
Zürn, W., & Wielandt, E. (2007). On the minimum of vertical seismic noise near 3 mHz. Geophysical Journal International, 168(2), 647–658. https://doi.org/10.1111/j.1365-246x.2006.03189.x DOI: https://doi.org/10.1111/j.1365-246X.2006.03189.x
Downloads
Additional Files
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Piero Poli, Josipa Majstorović, T. Dylan Mikesell

This work is licensed under a Creative Commons Attribution 4.0 International License.

