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horizontal-to-vertical spectral ratio methods

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Journal Article
Published: 26 March 2025
Seismological Research Letters (2025)
... by introducing a joint inversion method that combines noise horizontal‐to‐vertical spectral ratios (NHV) and multimode Rayleigh‐wave dispersion curves (MRDCs) with a genetic simulated annealing algorithm. Validation through three synthetic cases and field data from Mirandola, Italy, demonstrates that the joint...
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Journal Article
Published: 21 July 2020
Bulletin of the Seismological Society of America (2020) 110 (6): 2892–2911.
[email protected] 13 December 2019 © Seismological Society of America KEY POINTS We propose a method to correct horizontal‐to‐vertical spectral ratio of earthquake (eHVSR) to get horizontal site amplification factors. Using the generalized inversion, we obtain vertical...
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Journal Article
Journal: Interpretation
Published: 18 July 2016
Interpretation (2016) 4 (3): SH71–SH90.
.... The horizontal-to-vertical-spectral ratio (HVSR) passive seismic method is being increasingly used in the region to assist in mapping the thickness of these sediments and the topography of the underlying bedrock surface. HVSR results when control sites with known sediment thickness are used to derive calibration...
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Journal Article
Published: 01 April 2013
Bulletin of the Seismological Society of America (2013) 103 (2A): 958–970.
..., and thickness of each layer in the elastic case), we can easily compute both the horizontal and vertical transfer functions from the Thomson–Haskell method. By minimizing the difference between the ratio of transfer functions and the average H/V spectral ratio at the soil surface, it becomes possible to invert...
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Image
A comparison of spectral ratio methods for the horizontal component perpendicular to the axis of elongation of the ridge. Four spectral ratios are shown for each station: solid line shows standard spectral ratio (SSR) with station 1 as a reference; dotted line, MRM with the median of all stations as a reference (i.e., MRMAll); dashed line, MRM with the four valley stations as a reference (i.e., MRMV); and dashed‐dotted line, horizontal‐to‐vertical spectral ratio (HVSR). The theoretical resonance frequency range based on the ridge geometry and stiffness is indicated by the shading.The color version of this figure is available only in the electronic edition.
Published: 14 March 2017
Figure 8. A comparison of spectral ratio methods for the horizontal component perpendicular to the axis of elongation of the ridge. Four spectral ratios are shown for each station: solid line shows standard spectral ratio (SSR) with station 1 as a reference; dotted line, MRM with the median
Image
Site amplification quantified using two different methods at station R25C, which consists of a surface and downhole accelerometer (330 m depth). The black lines show amplification analysis done using horizontal‐to‐vertical (H/V) spectral ratio of all earthquake–station pairs for the surface station (methods in the Correcting for Site Amplification section). Here, the black thick line is the median, the dashed lines indicate the interquartile range, and the gray lines show the spectral ratios from the individual earthquake–station pairs. The magenta lines show amplification quantified by comparing the horizontal spectra of the surface and borehole station. Similarly, the magenta thick line is the median, the dashed lines indicate the interquartile range, and the salmon lines show the spectral ratios from the individual earthquake–station pairs. We note that site amplification inferred from both the methods are similar. The color version of this figure is available only in the electronic edition.
Published: 10 April 2024
Figure 2. Site amplification quantified using two different methods at station R25C, which consists of a surface and downhole accelerometer (330 m depth). The black lines show amplification analysis done using horizontal‐to‐vertical (H/V) spectral ratio of all earthquake–station pairs
Image
Illustration of the method application:  tilt modeled by a combination of step- and pulsetype functions (a), acceleration record contaminated by tilt (b), Fourier amplitude spectra and spectral ratio of the horizontal-to-vertical components (horizontal component is artificially contaminated by tilt) (c), comparison  of the original spectral ratio (same as in Fig. 2c) with that of contaminated by tilt (d), and comparison of the estimated (thin black and gray lines) and modeled tilts (thick black line) (e).
Published: 01 December 2006
Figure 3. Illustration of the method application: tilt modeled by a combination of step- and pulsetype functions (a), acceleration record contaminated by tilt (b), Fourier amplitude spectra and spectral ratio of the horizontal-to-vertical components (horizontal component is artificially
Image
Simplified schematic of the horizontal-to-vertical spectral ratio (H/V) method used to infer the fundamental site frequency (f0,H/V).
Published: 01 August 2021
Figure 1. Simplified schematic of the horizontal-to-vertical spectral ratio (H/V) method used to infer the fundamental site frequency ( f 0,H/V ).
Image
Comparison of the spectral ratio and analytic signal methods for obtaining horizontal wave slowness. Gradiometry analysis was carried out for station 5 (2.625 km on Figs. 4 and 5). The middle panel shows the result using the spectral ratio method. The dashed curve denotes twice the standard deviation of the estimate used in “variance filtering” to obtain the values of the coefficient as a function of time. The lower panel shows the analytic signal method result. The general features of the two methods are similar the values obtained for the P head wave and reflection are consistent. However, the vertical lines demonstrate that there is a time offset between the two methods because of the time-windowing process used in the spectral ratio method. See text for details.
Published: 01 June 2007
Figure 6. Comparison of the spectral ratio and analytic signal methods for obtaining horizontal wave slowness. Gradiometry analysis was carried out for station 5 (2.625 km on Figs. 4 and 5 ). The middle panel shows the result using the spectral ratio method. The dashed curve denotes twice
Image
(a) Horizontal‐to‐vertical (H/V) spectral ratios (HVSRs) from earthquake records for stations in eastern Canada. Representative smoothed (using the Konno–Ohmachi method, b=20) FAS of S‐wave acceleration (mean FAS) of each station are shown for the (b) horizontal and (c) vertical components. The color version of this figure is available only in the electronic edition.
Published: 25 February 2020
Figure 9. (a) Horizontal‐to‐vertical (H/V) spectral ratios (HVSRs) from earthquake records for stations in eastern Canada. Representative smoothed (using the Konno–Ohmachi method, b = 20 ) FAS of S ‐wave acceleration (mean FAS) of each station are shown for the (b) horizontal and (c
Journal Article
Published: 01 January 2003
Bulletin de la Société Géologique de France (2003) 174 (1): 33–44.
... of the spectra : it removes instabilities, but it may also remove resonance peaks which could have some physical significance (fig. 8). Spectral ratios are computed for both the vertical (V) and horizontal (H) components. H is a combination of the N-S and E-W components. We present logarithmic average ratios...
Image
Histograms of ratios of ground‐motion intensity measures of the horizontal component by the proposed method relative to the zero‐padding method. (a,c,e) Ratios of peak ground motions: (a) peak ground acceleration (PGA), (c) peak ground velocity (PGV), and (e) peak ground displacement (PGD). (b,d,f) Ratios of response spectral displacements (SDs): (b) SD (period = 1 s), (d) SD (period = 5 s), and (f) SD (period = 10 s). The vertical lines show the 5th percentile, median, and 95th percentile ratios. FREQ, frequency.
Published: 13 September 2024
Figure 16. Histograms of ratios of ground‐motion intensity measures of the horizontal component by the proposed method relative to the zero‐padding method. (a,c,e) Ratios of peak ground motions: (a) peak ground acceleration (PGA), (c) peak ground velocity (PGV), and (e) peak ground displacement
Image
Comparing methods of combining horizontal components at LA‐Griffith Park Observatory site: (a) horizontal‐to‐vertical spectral ratio (HVSR) of Fourier amplitude spectrum (FAS), b = 20; (b) HVSR of FAS, b = 40; and (c) HVSR of pseudospectral acceleration (PSA), ξ=5%. The color version of this figure is available only in the electronic edition.
Published: 30 March 2022
Figure 2. Comparing methods of combining horizontal components at LA‐Griffith Park Observatory site: (a) horizontal‐to‐vertical spectral ratio (HVSR) of Fourier amplitude spectrum (FAS), b = 20; (b) HVSR of FAS, b = 40; and (c) HVSR of pseudospectral acceleration (PSA), ξ = 5
Journal Article
Published: 01 December 2001
Bulletin of the Seismological Society of America (2001) 91 (6): 1526–1536.
... diameter) and small (0.5-km diameter) arrays deployed on soft sediments. Specifically, we examined four estimates from microtremors: relative site amplification factors to incident shear waves, site amplification factors by the Nakamura method, resonance frequency in horizontal-to-vertical spectral ratios...
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Journal Article
Journal: Geophysics
Published: 09 May 2007
Geophysics (2007) 72 (4): U47–U53.
... ambient-noise recordings made at the seafloor. The method relies on inverting horizontal- and vertical-amplitude spectra of Scholte waves propagating in the seafloor. I compare the commonly used horizontal-over-vertical spectral ratio with three alternative spectral-ratio definitions through modeling...
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Image
Site amplification functions at all stations computed using the horizontal‐to‐vertical spectral ratio (HVSR) method for (a) northern Iran, (b) central‐east Iran, (c) Zagros, and (d) all the three regions. The color version of this figure is available only in the electronic edition.
Published: 14 October 2022
Figure 7. Site amplification functions at all stations computed using the horizontal‐to‐vertical spectral ratio (HVSR) method for (a) northern Iran, (b) central‐east Iran, (c) Zagros, and (d) all the three regions. The color version of this figure is available only in the electronic edition.
Image
Site effects for the stations PYLO (Pyrenees) and OGDH (Alps) obtained with different methods. Left-hand side: PYLO horizontal site response from nonlinear inversion, solid black line; H/V of noise at PYLO, dashed black line; ratio between horizontal and vertical site responses obtained in this study, dashed-dotted line; a station located a few meters away from PYLO, gray curves. (Spectral ratio with reference station, solid curves; H/V of noise, dashed curves; H/V of earthquake data, dotted curves; from Dubos et al., 2003). Right-hand side: ratio between OGDH and OGMU site responses from nonlinear inversion, solid black line; ratio between horizontal and vertical site responses from nonlinear inversion for station OGDH, dashed-dotted line; spectral ratios with OGMU as a reference, dotted and dashed black lines for east–west and north–south components, respectively; H/V of noise, dashed gray line; and H/V of earthquake data, dotted gray line. The last four results are from P. Gueguen (personal comm., 2007).
Published: 01 February 2008
Figure 12. Site effects for the stations PYLO (Pyrenees) and OGDH (Alps) obtained with different methods. Left-hand side: PYLO horizontal site response from nonlinear inversion, solid black line; H/V of noise at PYLO, dashed black line; ratio between horizontal and vertical site responses
Journal Article
Published: 21 January 2014
Bulletin of the Seismological Society of America (2014) 104 (1): 381–393.
...Shinichi Matsushima; Takanori Hirokawa; Florent De Martin; Hiroshi Kawase; Francisco J. Sánchez‐Sesma Abstract Horizontal‐to‐vertical (H/V) spectral ratios of microtremors ( HVRM ) have been traditionally interpreted as representing either the S ‐wave amplification directly or the Rayleigh‐wave...
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Journal Article
Published: 11 September 2018
Bulletin of the Seismological Society of America (2018) 108 (6): 3289–3299.
... of site frequencies (periods) attributable to the specific zones (particularly those in zones IIIa, b, c, and d). Spectral ratios are computed with two different methods: (1) horizontal to horizontal (H/H) ratio of smoothed amplitude spectrum of a horizontal channel in direction X of a station...
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Journal Article
Published: 01 February 1998
Earthquake Spectra (1998) 14 (1): 203–224.
...D. Raptakis; N. Theodulidis; K. Pitilakis, M.EERI In this study, the standard spectral ratio and the horizontal-to-vertical spectral ratio techniques are applied in order to study their effectiveness in investigating and quantifying the influence of geological conditions on strong ground motion...