Love-wave waveform inversion in time domain for shallow shear-wave velocity

Pan, Yudi; Xia, Jianghai; Xu, Yixian; Gao, Lingli; Xu, Zongbo

doi:10.1190/geo2014-0225.1

Cited by 51 publications

(17 citation statements)

References 54 publications

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“…More recently, the existence of a beyond‐VTI anisotropy was reconfirmed (Wookey et al, ). Horizontally polarized shear waves and their superpositions propagating as Love waves had a significant impact on recent near‐surface inversions (Dokter et al, ; Pan et al, ). Typically, inversions focus on the velocity of SH waves along the horizontal axis; below we investigate which trade‐offs are irresolvable in inversions of this particular mode.…”

Section: Spectral Sensitivity Matrices and Numerical Analysis Of Tradmentioning

confidence: 99%

Scattering Radiation Pattern Atlas: What Anisotropic Elastic Properties Can Body Waves Resolve?

Kazei

Alkhalifah

2019

JGR Solid Earth

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Full‐waveform inversion (FWI) optimizes the subsurface properties of geophysical Earth models in such a way that the modeled data, based on these subsurface properties, match the observed data. The anisotropic properties, whether monoclinic, orthorhombic, triclinic, or vertical transversally isotropic (VTI), of the subsurface, be it a fractured reservoir or the core‐mantle boundary, are necessary to describe the observed wave phenomena. There are no principal limitations on the complexity of the anisotropy that can be inverted using FWI. However, the question remains—what kind of anisotropic descriptions of the elastic properties of the Earth can or cannot be inverted reliably from seismic waveforms? We reveal the resolution that can be achieved through reconstructions of each elastic parameter by building vertical resolution patterns from the scattering radiation patterns of body waves. A visual analysis of these patterns indicates “trade‐offs,” that is, perturbations of parameters that have the same reflection‐based scattering patterns as other perturbations. Each trade‐off leads to an apparent ambiguity in the inversion, which must be addressed by additional assumptions, constraints, or regularizations. For orthorhombic media, we find the exact trade‐offs that exist between parameters. Our parameterization isolates the VTI parameters, and therefore, we also obtain trade‐offs for every scattering mode for VTI media. We discover that only monoclinic parameters are recoverable from the first‐order scattering of monotypic waves. We summarize the trade‐offs in tables for easy reference. This paper is intended to be useful for researchers setting up anisotropic FWI problems, and interpreting or controlling the quality of such inversions.

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Section: Spectral Sensitivity Matrices and Numerical Analysis Of Tradmentioning

confidence: 99%

Scattering Radiation Pattern Atlas: What Anisotropic Elastic Properties Can Body Waves Resolve?

Kazei

Alkhalifah

2019

JGR Solid Earth

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“…They concluded that the estimation of a priori quality factors is critical for inverting seismic waves in the near-surface zone . Pan et al proposed to invert the Lovewaves in the time domain to reconstruct the S-wave velocity model at the near surface (Pan et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Skeletonized wave equation of surface wave dispersion inversion

Schuster

2016

SEG Technical Program Expanded Abstracts 2016

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SUMMARYWe present the theory for wave equation inversion of dispersion curves, where the misfit function is the sum of the squared differences between the wavenumbers along the predicted and observed dispersion curves. Similar to wave-equation traveltime inversion, the complicated surface-wave arrivals in traces are skeletonized as simpler data, namely the picked dispersion curves in the (k x , ω) domain. Solutions to the elastic wave equation and an iterative optimization method are then used to invert these curves for 2D or 3D velocity models. This procedure, denoted as wave equation dispersion inversion (WD), does not require the assumption of a layered model and is less prone to the cycle skipping problems of full waveform inversion (FWI). The synthetic and field data examples demonstrate that WD can accurately reconstruct the S-wave velocity distribution in laterally heterogeneous media.

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“…Pan et al . () estimated coarse 2D blocky S‐wave velocity models using a conjugate gradient‐based FWI for synthetic and Love‐wave field data applications. On the ultrasonic scale Bretaudeau et al .…”

Section: Introductionmentioning

confidence: 99%

“…In both cases, the authors where able to successfully estimate the near-surface P-and S-wave velocity distribution for frequencies up to 20 Hz. Pan et al (2016) estimated coarse 2D blocky S-wave velocity models using a conjugate gradient-based FWI for synthetic and Love-wave field data applications. On the ultrasonic scale Bretaudeau et al (2013) reconstructed the Pand S-wave velocity model of a physical scale model by a FWI of surface and body wave data.…”

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confidence: 99%

Full waveform inversion of SH‐ and Love‐wave data in near‐surface prospecting

Dokter

Köhn

Wilken

et al. 2017

Geophysical Prospecting

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We develop a two‐dimensional full waveform inversion approach for the simultaneous determination of S‐wave velocity and density models from SH ‐ and Love‐wave data. We illustrate the advantages of the SH/Love full waveform inversion with a simple synthetic example and demonstrate the method's applicability to a near‐surface dataset, recorded in the village Čachtice in Northwestern Slovakia. Goal of the survey was to map remains of historical building foundations in a highly heterogeneous subsurface. The seismic survey comprises two parallel SH‐profiles with maximum offsets of 24 m and covers a frequency range from 5 Hz to 80 Hz with high signal‐to‐noise ratio well suited for full waveform inversion. Using the Wiechert–Herglotz method, we determined a one‐dimensional gradient velocity model as a starting model for full waveform inversion. The two‐dimensional waveform inversion approach uses the global correlation norm as objective function in combination with a sequential inversion of low‐pass filtered field data. This mitigates the non‐linearity of the multi‐parameter inverse problem. Test computations show that the influence of visco‐elastic effects on the waveform inversion result is rather small. Further tests using a mono‐parameter shear modulus inversion reveal that the inversion of the density model has no significant impact on the final data fit. The final full waveform inversion S‐wave velocity and density models show a prominent low‐velocity weathering layer. Below this layer, the subsurface is highly heterogeneous. Minimum anomaly sizes correspond to approximately half of the dominant Love‐wavelength. The results demonstrate the ability of two‐dimensional SH waveform inversion to image shallow small‐scale soil structure. However, they do not show any evidence of foundation walls.

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Love-wave waveform inversion in time domain for shallow shear-wave velocity

Cited by 51 publications

References 54 publications

Scattering Radiation Pattern Atlas: What Anisotropic Elastic Properties Can Body Waves Resolve?

Scattering Radiation Pattern Atlas: What Anisotropic Elastic Properties Can Body Waves Resolve?

Skeletonized wave equation of surface wave dispersion inversion

Full waveform inversion of SH‐ and Love‐wave data in near‐surface prospecting

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