Scaling <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si39.svg" display="inline" id="d1e1706"><mml:mi>P</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si270.svg" display="inline" id="d1e171

We analyze the rotational motions of 484 earthquakes in the M L − 0.7 to M L 1.8 range that were induced by the 2018 geothermal stimulation in the Helsinki, Finland, metropolitan area, located in the cratonic Fennoscandian Shield environment. The rotational motions of P and S V waves in the 2 Hz–15 Hz frequency band are calculated from translational geophone array seismograms recorded in a 1.4 km–4.9 km epicentral distance range. We observe maximum peak rocking rates of 1 . 7 × 1 0 − 4 mrad/s for the P wave and 6 . 5 × 1 0 − 4 mrad/s for the S V wave. We show that the ratio of the computed peak rocking rates to the observed peak vertical acceleration yields a good approximation of the local apparent wave velocity. For this, the rotational motions are obtained in the local coordinate system that minimizes rotation about the radial axis. This analysis indicates variations in the back-azimuth from the great-circle direction which are associated with structural subsurface heterogeneities. Our comparison with results from synthetic waveforms and results from a delay-and-sum plane wave beamforming analysis demonstrate the effectiveness of the employed seismogeodetic method to compute rotational ground motion from geophone arrays, and the effectiveness of the scaling analysis for local wave velocity estimates. The obtained average magnitude dependent rocking rate relationships for P and S V waves are important reference observations for building predictive models for rocking motions in a hard rock environment. The obtained empirical translational-to-rocking scaling relation for the P wave can contribute to the development of full-waveform scaling relations. • We calculate rotational motion seismograms from earthquake geophone array data. • We estimate the local propagation direction using P and S V wave rocking motion. • Translational-to-rotational motion ratios estimate the local apparent wave velocity. • The consistency with simulated data demonstrates the effectiveness of the approach. • Magnitude dependent rocking rate relationships are important for predictive models.

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Publication Details

Journal
Soil Dynamics and Earthquake Engineering
Published
2025-02-08
DOI
https://doi.org/10.1016/j.soildyn.2025.109257
Citations
1
Primary Topic
Seismic Waves and Analysis
Type
article
Field-Weighted Citation Impact
1.87

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article

Scaling <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si39.svg" display="inline" id="d1e1706"><mml:mi>P</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si270.svg" display="inline" id="d1e171

Gregor Hillers, Amir Sadeghi‐Bagherabadi
1 citations
Soil Dynamics and Earthquake Engineering
Seismic Waves and Analysis
1.87
article

Scaling <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si39.svg" display="inline" id="d1e1706"><mml:mi>P</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si270.svg" display="inline" id="d1e171

Gregor Hillers, Amir Sadeghi‐Bagherabadi
article en
1 citations

Abstract

We analyze the rotational motions of 484 earthquakes in the M L − 0.7 to M L 1.8 range that were induced by the 2018 geothermal stimulation in the Helsinki, Finland, metropolitan area, located in the cratonic Fennoscandian Shield environment. The rotational motions of P and S V waves in the 2 Hz–15 Hz frequency band are calculated from translational geophone array seismograms recorded in a 1.4 km–4.9 km epicentral distance range. We observe maximum peak rocking rates of 1 . 7 × 1 0 − 4 mrad/s for the P wave and 6 . 5 × 1 0 − 4 mrad/s for the S V wave. We show that the ratio of the computed peak rocking rates to the observed peak vertical acceleration yields a good approximation of the local apparent wave velocity. For this, the rotational motions are obtained in the local coordinate system that minimizes rotation about the radial axis. This analysis indicates variations in the back-azimuth from the great-circle direction which are associated with structural subsurface heterogeneities. Our comparison with results from synthetic waveforms and results from a delay-and-sum plane wave beamforming analysis demonstrate the effectiveness of the employed seismogeodetic method to compute rotational ground motion from geophone arrays, and the effectiveness of the scaling analysis for local wave velocity estimates. The obtained average magnitude dependent rocking rate relationships for P and S V waves are important reference observations for building predictive models for rocking motions in a hard rock environment. The obtained empirical translational-to-rocking scaling relation for the P wave can contribute to the development of full-waveform scaling relations. • We calculate rotational motion seismograms from earthquake geophone array data. • We estimate the local propagation direction using P and S V wave rocking motion. • Translational-to-rotational motion ratios estimate the local apparent wave velocity. • The consistency with simulated data demonstrates the effectiveness of the approach. • Magnitude dependent rocking rate relationships are important for predictive models.

Soil Dynamics and Earthquake EngineeringVol. 192
University of Helsinki (FI)
Academy of Finland
Openalex Percentile: Top 22%
Seismic Waves and Analysis
1.87
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