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quasi-Love waves

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(a) Synthetic quasi‐Love waves computed using the approximation for 3D structures extending to various values of Φ. The letter of each synthetic corresponds to the letter of the structure in (b). The synthetic at the bottom was computed using zonally symmetric structure and is plotted for comparison. (b) Geometry of the 3D structures used extending to various values of Φ. The solid line illustrates the source–receiver GCP, whereas the dashed ellipse surrounding it represents the sensitivity zone as defined by Ritzwoller et al. (2002). The focal sphere indicates the location of the source along with the strike‐slip mechanism employed. The color version of this figure is available only in the electronic edition.
Published: 25 February 2014
Figure 4. (a) Synthetic quasiLove waves computed using the approximation for 3D structures extending to various values of Φ. The letter of each synthetic corresponds to the letter of the structure in (b). The synthetic at the bottom was computed using zonally symmetric structure and is plotted
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Ratios of quasi‐Love wave amplitude computed for various 3D structures to that of zonally symmetric structure. The size of shape of the 3D structures used are illustrated in Figure 4. The dashed curve indicates the ratios for 3D structure that is not tapered, the dashed/dotted curve indicates the ratios for 3D structures tapered so that the volume integral of the structure is maintained, and the solid curve indicates the ratios for 3D structures tapered so that the line integral of the structure is maintained. The shaded region represents the sensitivity zone as defined by Ritzwoller et al. (2002). The behavior of the ratios agrees with the asymptotics put forth in Park (1997). For rough off‐path structure (small values of Φ), the coupling is dependent on the volume integral of the modal interactions. However, for smooth off‐path structure (large values of Φ), the coupling becomes asymptotically dependent on the line integral of the modal interactions along the source–receiver great circle path. The color version of this figure is available only in the electronic edition.
Published: 25 February 2014
Figure 5. Ratios of quasiLove wave amplitude computed for various 3D structures to that of zonally symmetric structure. The size of shape of the 3D structures used are illustrated in Figure  4 . The dashed curve indicates the ratios for 3D structure that is not tapered, the dashed/dotted curve
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(a) Normalized vertical component synthetics computed using the approximation (darker traces) and the exact (lighter traces) Galerkin method for various azimuths of the hexagonal symmetry axis measured from north. The source–receiver geometry used is the same as is illustrated in Figure 2. (b) Ratio of the approximate quasi‐Love wave amplitude to exact QL‐wave amplitude for varying symmetry axis azimuths. (c) Correlation coefficients of the approximate and exact QL waves for the various symmetry axis azimuths. The color version of this figure is available only in the electronic edition.
Published: 25 February 2014
  2 . (b) Ratio of the approximate quasiLove wave amplitude to exact QL‐wave amplitude for varying symmetry axis azimuths. (c) Correlation coefficients of the approximate and exact QL waves for the various symmetry axis azimuths. The color version of this figure is available only in the electronic
Journal Article
Published: 18 August 2022
Seismological Research Letters (2022) 93 (6): 3422–3432.
... constrain the anisotropic structure of the mantle in the magma‐poor Malawi rift zone (MRZ) by observing quasiLove (QL) waves, which are abnormal waveforms with Rayleigh wave polarization characteristics formed by the scattering of Love waves through lateral gradients in anisotropic structures. Here, we...
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Journal Article
Published: 25 February 2014
Bulletin of the Seismological Society of America (2014) 104 (2): 962–971.
...Figure 4. (a) Synthetic quasiLove waves computed using the approximation for 3D structures extending to various values of Φ. The letter of each synthetic corresponds to the letter of the structure in (b). The synthetic at the bottom was computed using zonally symmetric structure and is plotted...
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Examples of quasi‐Love (QL) wave observations at some stations after the 17 November 2013 Mw 7.9 Scotia Sea earthquake. The synthetic data are summations of normal modes for the isotropic preliminary reference Earth model (PREM). All data and synthetics are band‐pass filtered at 4–11 mHz, and the horizontal components are rotated to the radial and vertical components. R and G denote Rayleigh and Love waves in the vertical and transverse components, respectively, and the red asterisk indicates the QL wave. (a) No obvious QL wave at station Q04 and (b) an obvious QL wave appeared at station Q07. The color version of this figure is available only in the electronic edition.
Published: 18 August 2022
Figure 2. Examples of quasiLove (QL) wave observations at some stations after the 17 November 2013 M w  7.9 Scotia Sea earthquake. The synthetic data are summations of normal modes for the isotropic preliminary reference Earth model (PREM). All data and synthetics are band‐pass filtered
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From top to bottom: synthetic Love (semi-transparent gray) and Rayleigh (black) wave dispersion patterns of models 4a, 4b, 4c and 4d (Table 1) consisting of a low velocity layer over a half-space. From 4a to 4d shear wave velocity of the half-space increases progressively above compressional wave velocity of the overlying layer. Shear and compressional wave velocity of the layer are marked by solid, gray lines. The dotted lines indicate quasi-compressional pseudo-modes.
Published: 01 September 2005
Figure 12 From top to bottom: synthetic Love (semi-transparent gray) and Rayleigh (black) wave dispersion patterns of models 4a, 4b, 4c and 4d ( Table 1 ) consisting of a low velocity layer over a half-space. From 4a to 4d shear wave velocity of the half-space increases progressively above
Series: Special Publication
Published: 01 January 2016
DOI: 10.17491/cgsi/2016/95898
EISBN: 978-93-80998-77-0
... Abstract: The present work analytically investigates the existence of Love waves in piezoelectric layered system over transversely isotropic half-space under initial stress. The piezoelectric layer is considered for two different cases, one is electrically open circuit and another one...
Journal Article
Published: 01 September 2005
Journal of Environmental and Engineering Geophysics (2005) 10 (3): 263–274.
...Figure 12 From top to bottom: synthetic Love (semi-transparent gray) and Rayleigh (black) wave dispersion patterns of models 4a, 4b, 4c and 4d ( Table 1 ) consisting of a low velocity layer over a half-space. From 4a to 4d shear wave velocity of the half-space increases progressively above...
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Journal Article
Published: 01 August 1988
Bulletin of the Seismological Society of America (1988) 78 (4): 1510–1521.
... velocity measurements for fundamental and higher mode Rayleigh and Love waves across various propagation paths of the Arabian Fan sediments, using 31 earthquakes which were recorded at eight seismic stations of India and Pakistan Trivandrum (TRD), Kodaikanal (KOD), 1510 QUASI-CONTINENTAL STRUCTURE BENEATH...
Journal Article
Journal: Geophysics
Published: 06 May 2025
Geophysics (2025) MR265–MR270.
... -coefficient; it must be measured directly, i.e., via a quasi-static compression experiment, not via a wave-propagation experiment, cf. Mesri et al. (1976) . Note: Although equation  19 contains κ u d , this does not mean that equation  13 for κ u d is a circular result...
Journal Article
Journal: Geophysics
Published: 01 January 2000
Geophysics (2000) 65 (3): 934–942.
... symmetric matrix with all the elements generally not equal to zero. In the special case when the axis of symmetry of the TI medium is in the x – z -plane ( ϕ = 90 ∘ ), D has the form (21) Only in this case do the quasi- P - and quasi- SV -wave motions decouple from the SH -wave motions, as we show...
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Journal Article
Published: 01 October 2012
Bulletin of the Seismological Society of America (2012) 102 (5): 1913–1926.
... scatter in the Lovewave spectral ratios (Fig.  9c,d ). The results show that for the southeast profile, the ANFO shots produced larger Lovewave amplitudes than the COMP‐B shots (typically 2–4 times large amplitudes, up to 10 times more). For the northeast profile, the ANFO shots also had larger Love...
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Journal Article
Published: 21 April 2025
Seismological Research Letters (2025)
..., Yuan, Dong, et al. , 2023 ) to track vehicle locations and then classify vehicles by the peak values of their average quasi‐static signals into weight and speed categories. Vehicle‐induced surface‐wave windows are then selected using the tracked vehicle trajectories. Virtual shot gathers (VSGs...
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Journal Article
Published: 01 December 1972
Bulletin of the Seismological Society of America (1972) 62 (6): 1425–1438.
.... Rayleigh and Love waves from buried sources in a multilayered elastic half-space, Bull. Seism. Soc. Am. 54, 627-680. Hasbrouck, W. P. and J. H. Allen (1972). Quasi-static magnetic field changes associated with the C A N N I K I N nuclear explosion, Bull. Seism. Soc. Am. 62, 1479-1487. Kehrer, H. H. (1969...
Journal Article
Published: 24 February 2025
Bulletin of the Seismological Society of America (2025)
...,d ) waves from two individual microearthquakes that occurred on 7 July 2014 (Fig.  2a,c ) and 17 September 2014 (Fig.  2b,d ). The locations of these two events are shown by red stars in Figure  1 . Figure 2. The vertical (a,b, Rayleigh wave) and tangential (c,d, Love wave) components...
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Journal Article
Published: 01 February 1986
Bulletin of the Seismological Society of America (1986) 76 (1): 241–257.
...S. Asghar; F. D. Zaman Abstract The diffraction of Love waves, traveling in a layer overlying a half-space, normally incident upon a finite rigid barrier is considered using the Wiener-Hopf technique. The transmitted waves are calculated analytically, and it has been observed that the case...
Journal Article
Published: 01 January 2002
Reviews in Mineralogy and Geochemistry (2002) 51 (1): 353–385.
... heterogeneous but also anisotropic and that seismic anisotropy provides a simple explanation of different observational data: azimuthal variation of Pn-velocities below oceans (discovered in the 1960s; Hess (1964) explained it by anisotropy), Rayleigh-Love wave discrepancy: It is impossible...
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Journal Article
Journal: Geophysics
Published: 18 June 2012
Geophysics (2012) 77 (4): KS13–KS31.
... (0.5–5 Hz), information from the target depth is mainly carried by body waves. We therefore assume the site response S to be composed of surface and body waves, S (   f ) = S S + S B , (3) which can be further subdivided into contributions from Rayleigh, Love, P...
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Journal Article
Published: 01 June 2005
Bulletin of the Seismological Society of America (2005) 95 (3): 1150–1169.
...Bojan B. Guzina; Andrew I. Madyarov Abstract The focus of this study is an analytical and computational platform for shallow seismic profiling via the dispersion and attenuation analysis of Love surface waves. Although the Rayleigh waves are now commonly used as an engineering tool for nonintrusive...
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