Seismic Applications of Full Waveform Inversion

Kurzmann, A.; Gassner, Laura; Thiel, Niklas; Kunert, Martin; Shigapov, R.; Wittkamp, F.; Bohlen, Thomas; Metz, Tilman

doi:10.1007/978-3-319-47066-5_44

Cited by 2 publications

(2 citation statements)

References 22 publications

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“…Therefore, their travel times, or "first breaks," are the most common in seismic inversion setups. The finite-frequency P wave travel times are well represented by effective pseudo-acoustic modeling (Alkhalifah, 2000;Wu & Alkhalifah, 2017), though correct inversion of the amplitudes requires elastic-media representation even in isotropic media (Kurzmann et al, 2016;Raknes & Arntsen, 2014). In global seismology, the P waves served as the main source of information about the core-mantle and inner core-outer core boundaries for a long time (Bolt, 1970).…”

Section: P-p Scatteringmentioning

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: P-p Scatteringmentioning

confidence: 99%

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

Kazei

Alkhalifah

2019

JGR Solid Earth

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“…Recently, interest has grown in the inversion of dynamic wavefield components due to their higher resolution potential, despite the additional acquisition and computational requirements (e.g. Virieux & Operto 2009;Anikiev et al 2014;Kurzmann et al 2016). Iterative imaging techniques, such as full-waveform inversion (FWI) and least-squares reverse time migration, provide high-resolution estimates of the subsurface parameters, but require more computational resources and above-average signal-to-noise ratios in the data.…”

Section: Introductionmentioning

confidence: 99%

Waveform inversion for orthorhombic anisotropy with P waves: feasibility and resolution

Kazei

Alkhalifah

2018

Geophysical Journal International

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Summary Various parameterizations have been suggested to simplify inversions of first arrivals, or P −waves, in orthorhombic anisotropic media, but the number and type of retrievable parameters have not been decisively determined. We show that only six parameters can be retrieved from the dynamic linearized inversion of P −waves. These parameters are different from the six parameters needed to describe the kinematics of P −waves. Reflection-based radiation patterns from the P − P scattered waves are remapped into the spectral domain to allow for our resolution analysis based on the effective angle of illumination concept. Singular value decomposition of the spectral sensitivities from various azimuths, offset coverage scenarios, and data bandwidths allows us to quantify the resolution of different parameterizations, taking into account the signal-to-noise ratio in a given experiment. According to our singular value analysis, when the primary goal of inversion is determining the velocity of the P −waves, gradually adding anisotropy of lower orders (isotropic, vertically transversally isotropic, orthorhombic) in hierarchical parameterization is the best choice. Hierarchical parametrization reduces the tradeoff between the parameters and makes gradual introduction of lower anisotropy orders straightforward. When all the anisotropic parameters affecting P −wave propagation need to be retrieved simultaneously, the classic parameterization of orthorhombic medium with elastic stiffness matrix coefficients and density is a better choice for inversion. We provide estimates of the number and set of parameters that can be retrieved from surface seismic data in different acquisition scenarios. To set up an inversion process, the singular values determine the number of parameters that can be inverted and the resolution matrices from the parameterizations can be used to ascertain the set of parameters that can be resolved.

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Seismic Applications of Full Waveform Inversion

Cited by 2 publications

References 22 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?

Waveform inversion for orthorhombic anisotropy with P waves: feasibility and resolution

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