Detection and mapping of Earth body resonances with continuous GPS

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M. Omerbashich


I recently reported temporal proof that Mw5.6+ strong earthquakes occur due to (as the lithosphere rides on) vast waves of the tidally driven and gravitationally aided 1–72h long-periodic Earth body resonance (EBR). Here I report a methodologically independent spatial proof of EBR, conclusively showing that tremors are not the only earthquake type caused by mechanical resonance: observations of actual EBR waves in solid matter using continuous Global Positioning System (cGPS) and of their triggering Mw5.6+ earthquakes. Superharmonic resonance periods from the EBR’s 55’–15 days (0.303 mHz–0.7716 μHz) band are thus recoverable in spectra of International Terrestrial Reference Frame (ITRF2014) positional components solved kinematically from 30-s cGPS samplings. The signal is so pure, strong, and stable that even daylong components are constantly periodic at or above 99%-significance, with very high statistical fidelity, ϕ>>12, and ϕ<<12 characterizing overtones or undertones. cGPS stations have diurnal EBR fingerprints: unique sets of ~13–18 EBR frequencies, most clearly formed during ~Mw6+ quiescence, enabling depiction of EBR orientation for real-time EBR mapping. Furthermore, weeklong component time series reveal complete EBR and expected undertones as the signature of EBR’s companion sympathetic resonances, with very high ϕ>>12. Also, I demonstrate EBR mapping using the Mexico City–Los Angeles–San Francisco cGPS profile alongside a tectonic plate boundary, successfully depicting the preparation phase of the 2020 Puerto Rico Mw6.4–Mw6.6 earthquakes sequence. I finish by showing that the EBR triggered the 2019 Ridgecrest Mw6.4–Mw7.1 earthquakes sequence. EBR maps can now be produced for seismic prediction/forecasting and unobscuring (decoupling EBR frequencies) from geophysical observables like stress and strain. EBR engulfs the Earth’s crust, forming the resonance wind whose role and incessantness demote mantle convection from the working hypothesis of geophysics and whose applications include geophysical prospecting and detection at all scales and times. A previously unaccounted-for fundamental force of geophysics, the impulsive EBR spans the vastest energy bands, invalidating any previous claims of seismic detections of gravitational wave signals from deep space, such as by the LIGO experiment.

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Omerbashich, M. (2022). Detection and mapping of Earth body resonances with continuous GPS. Journal of Geophysics, 64(1), 12-33. Retrieved from
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M. Omerbashich, Geophysics Online


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Altamimi, Z., Rebischung, P., Métivier, L., Collilieux, X. (2016) ITRF2014: A new release of the International Terrestrial Reference Frame modeling nonlinear station motions. J. Geophys. Res. Solid Earth 121(8):6109-6131.

Altiner, Y. (1999) Analytical surface deformation theory for detection of the Earth's crust movements. Springer-Verlag, 100pp. ISBN 9783642085109.

Bock, Y., Melgar, D. (2016) Physical applications of GPS geodesy: a review. Rep. Prog. Phys. 79:106801 (119pp).

Cheng, Y., Ben‐Zion, Y. (2020) Variations of earthquake properties before, during, and after the 2019 M7.1 Ridgecrest, CA, earthquake. Geophys. Res. Lett. 47:e2020GL089650.

Den Hartog, J. (1985) Mechanical Vibrations (4th Ed.) Dover Publications. ISBN 9780486647852

Doglioni, C., Carminati, E., Petricca, P., Riguzzi, F. (2015) Normal fault earthquakes or graviquakes. Sci. Rep. 5:12110.

Dyson, F.J. (1969) Seismic response of the Earth to a gravitational wave in the 1-Hz band. Astrophys. J. 156:529-540.

Ferrazzini, V., Aki, K. (1987) Slow waves trapped in a fluid‐filled infinite crack: Implication for volcanic tremor. J. Geophys. Res. 92(B9):9215–9223.

Ficini, E., Dal Zilio, L., Doglioni, C., Gerya, T.V. (2017) Horizontal mantle flow controls subduction dynamics. Sci. Rep. 7: 7550.

Genrich, J.F., Bock, Y. (2006) Instantaneous geodetic positioning with 10–50 Hz GPS measurements: Noise characteristics and implications for monitoring networks. J. Geophys. Res. 111:B03403.

Gupta, H.K. (Ed.) (2011) Encyclopedia of Solid Earth Geophysics. Springer. ISBN 9789048187010.

He, X., Montillet, J.-P., Fernandes, R., Bos, M., Yu, K., Hua, X., Jiang, W. (2017) Review of current GPS methodologies for producing accurate time series and their error sources. J. Geodyn. 106:12-29.

Inbal, A., Clayton, R.W., Ampuero, J.-P. (2015) Imaging widespread seismicity at midlower crustal depths beneath Long Beach, CA, with a dense seismic array: Evidence for a depth-dependent earthquake size distribution. Geophys. Res. Lett. 42:6314–6323.

Kinkhabwala, A. (2013) Maximum Fidelity. Max Planck Institute of Molecular Physiology report.

Ogawa, M. (2007) Mantle convection: A review. Fluid Dyn. Res. 40(6):379–398.

Omerbashich, M. (2006a) Springtide-induced magnification of Earth mantle resonance causes tectonics and conceals universality of physics at all scales.

Omerbashich, M. (2006b) Gauss–Vaníček Spectral Analysis of the Sepkoski Compendium: No New Life Cycles. Comp. Sci. Eng. 8(4):26-30.

Omerbashich, M. (2007a) Erratum due to journal error. Comp. Sci. Eng. 9(4):5-6.; full text:

Omerbashich, M. (2007b) Magnification of mantle resonance as a cause of tectonics. Geod. Acta 20(6):369-383.

Omerbashich, M. (2020a) Earth body resonance. J. Geophys. 63:15-29.

Omerbashich, M. (2020b) Moon body resonance. J. Geophys. 63:30-42.

Omerbashich (2021) Non-marine tetrapod extinctions solve extinction periodicity mystery, Hist. Biol. 34(1):188-191.

Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P. (2007) Numerical Recipes: The Art of Scientific Computing (3rd Ed.). Cambridge University Press. ISBN 9780521880688

Richter, F., McKenzie, D. (1977) Simple plate models of mantle convection. J. Geophys. 44(1):441-471.

Shannon, C.E. (1948) A Mathematical Theory of Communication. Bell System Tech. J. 27:379–423, 623–656.

Simpson, J.F. (1968) Solar activity as a triggering mechanism for earthquakes. Earth Planet. Sci. Lett. 3:417–425.

Steeves, R.R. (1981). A statistical test for significance of peaks in the least squares spectrum. Collected Papers, Geodetic Survey, Dept. of Energy, Mines and Resources. Surveys and Mapping Branch, Ottawa Canada, pp. 149–166.

Taylor, J., Hamilton, S. (1972) Some tests of the Vaníček Method of spectral analysis. Astrophys. Space Sci. 17:357–367.

Vaníček, P. (1969) Approximate Spectral Analysis by Least-Squares Fit. Astrophys. Space Sci. 4(4):387–391.

Vaníček, P. (1971) Further Development and Properties of the Spectral Analysis by Least-Squares Fit. Astrophys. Space Sci. 12(1):10–33.

Vincenty, T. (1975) Direct and inverse solutions of geodesics on the ellipsoid with application of nested equations. Survey Rev. 23(176):88–93.

Wells, D.E., Vaníček, P., Pagiatakis, S. (1985) Least squares spectral analysis revisited. Dept. of Geodesy & Geomatics Engineering Technical Report 84, University of New Brunswick,

Yegorkin, A.V., Chernyshov, N.M. (1983) Peculiarities of Mantle Waves from Long-Range Profiles. J. Geophys. 54(1):30-34.

Young, L.E., Neilan, R.E., Bletzacker, F.R. (1985) GPS Satellite Multipath: An Experimental Investigation. Proceedings of the First International Symposium on Precise Positioning with the Global Positioning System, pp.423–432.