Uniform asymptotic conversion of Helmholtz data from 3D to 2D

Yedlin, M.; Vorst, Daryl Van; Virieux, Jean

doi:10.1016/j.jappgeo.2011.04.003

Cited by 9 publications

(4 citation statements)

References 23 publications

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“…The presence of artifacts in 2D PACT images due to the presence of 3D out-of-plane scatterers can also significantly degrade image quality. Similar issues have been studied in the geophysics community and medical ultrasound computed tomography communities (Auer et al, 2013;Yedlin et al, 2012;Bleistein, 2012;Wiskin et al, 2017;Duric et al, 2014;Gemmeke et al, 2017;Huthwaite and Simonetti, 2011). Experienced practitioners can help mitigate some of these out of plane scattering artifacts by carefully designing the elevational focusing properties of the transducers (Duric et al, 2014;Li et al, 2017).…”

Section: Approximating Pact As a 2d Problemmentioning

confidence: 85%

A survey of computational frameworks for solving the acoustic inverse problem in three-dimensional photoacoustic computed tomography

2019

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Photoacoustic computed tomography (PACT), also known as optoacoustic tomography, is an emerging imaging technique that holds great promise for biomedical imaging. PACT is a hybrid imaging method that can exploit the strong endogenous contrast of optical methods along with the high spatial resolution of ultrasound methods. In its canonical form that is addressed in this article, PACT seeks to estimate the photoacoustically-induced initial pressure distribution within the object. Image reconstruction methods are employed to solve the acoustic inverse problem associated with the image formation process. When an idealized imaging scenario is considered, analytic solutions to the PACT inverse problem are available; however, in practice, numerous challenges exist that are more readily addressed within an optimization-based, or iterative, image reconstruction framework. In this article, the PACT image reconstruction problem is reviewed within the context of modern optimization-based image reconstruction methodologies. Imaging models that relate the measured photoacoustic wavefields to the sought-after object function are described in their continuous and discrete forms. The basic principles of optimization-based image reconstruction from discrete PACT measurement data are presented, which includes a review of methods for modeling the PACT measurement system response and other important physical factors. Non-conventional formulations of the PACT image reconstruction problem, in which acoustic parameters of the medium are concurrently estimated along with the PACT image, are also introduced and reviewed.

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Section: Approximating Pact As a 2d Problemmentioning

confidence: 85%

A survey of computational frameworks for solving the acoustic inverse problem in three-dimensional photoacoustic computed tomography

2019

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“…The FWI geophone data pre-processing consisted in minimumphase whitening, followed by Butterworth filtering with cut-off frequencies of 3 and 20 Hz, a mute before the first arrival, and 3-Dto-2-D amplitude correction implemented by multiplying the data by √ t. The 3-D-to-2-D correction consists of phase and amplitude correction (Bleistein 1986;Yedlin et al 2010). Ravaut et al (2004) showed that for their application of FWI to a thrust belt, the phase dependency of the 3-D-to-2-D correction was not critical in the frequency range considered (1-13 Hz).…”

Section: Data and Full Waveform Inversion Set-upmentioning

confidence: 99%

“…Ravaut et al (2004) showed that for their application of FWI to a thrust belt, the phase dependency of the 3-D-to-2-D correction was not critical in the frequency range considered (1-13 Hz). Yedlin et al (2010) showed that the error of the amplitude correction performed by temporal scaling (on which a phase correction was added) is negligible as long as there are no lateral variations in the cross direction. The data are affected by platform noise, which consists of scattered waves that are emitted by the platform.…”

Section: Data and Full Waveform Inversion Set-upmentioning

confidence: 99%

Multiparameter full waveform inversion of multicomponent ocean-bottom-cable data from the Valhall field. Part 2: imaging compressive-wave and shear-wave velocities

Prieux

Brossier

Operto

et al. 2013

Geophysical Journal International

101

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Multiparameter elastic full waveform inversion (FWI) is a promising technology that allows inferences to be made on rock and fluid properties, which thus narrows the gap between seismic imaging and reservoir characterization. Here, we assess the feasibility of 2-D vertical transverse isotropic visco-elastic FWI of wide-aperture multicomponent ocean-bottom-cable data from the Valhall oil field. A key issue is to design a suitable hierarchical data-driven and model-driven FWI workflow, the aim of which is to reduce the nonlinearity of the FWI. This nonlinearity partly arises because the shear (S) wavespeed can have a limited influence on seismic data in marine environments. In a preliminary stage, visco-acoustic FWI of the hydrophone component is performed to build a compressional (P)-wave velocity model, a density model and a quality-factor model, which provide the necessary background models for the subsequent elastic inversion. During the elastic FWI, the P and S wavespeeds are jointly updated in two steps. First, the hydrophone data are inverted to mainly update the long-tointermediate wavelengths of the S wavespeeds from the amplitude-versus-offset variations of the P-P reflections. This S-wave velocity model is used as an improved starting model for the subsequent inversion of the better-resolving data recorded by the geophones. During these two steps, the P-wave velocity model is marginally updated, which supports the relevance of the visco-acoustic FWI results. Through seismic modelling, we show that the resulting viscoelastic model allows several P-to-S converted phases recorded on the horizontal-geophone component to be matched. Several elastic quantities, such as the Poisson ratio, and the ratio and product between the P and S wavespeeds, are inferred from the P-wave and S-wave velocity models. These attributes provide hints for the interpretation of an accumulation of gas below lithological barriers.

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“…The 3D to 2D data transfer function for the acousticwave problem derived in Yedlin et al (2012) (see Yedlin, 1987) is…”

Section: Introductionmentioning

confidence: 99%

A Graphical Derivation of the Perpendicular Ray Jacobian

Vorst¹,

Virieux²,

Yedlin³

2012

Bulletin of the Seismological Society of America

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A graphical derivation of the perpendicular part of the ray Jacobian for planar rays is presented and found to match that derived via paraxial raytracing. The graphical method provides the reader with a clear picture of how the ray Jacobian can be factored (for planar rays), how the perpendicular part arises, and that it is easily computed if the ray paths are known. The Jacobian is incorporated into a transfer function that approximately converts 3D measured data into 2D equivalent data that is useful in 2D full-wave inversions.

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Uniform asymptotic conversion of Helmholtz data from 3D to 2D

Cited by 9 publications

References 23 publications

A survey of computational frameworks for solving the acoustic inverse problem in three-dimensional photoacoustic computed tomography

A survey of computational frameworks for solving the acoustic inverse problem in three-dimensional photoacoustic computed tomography

Multiparameter full waveform inversion of multicomponent ocean-bottom-cable data from the Valhall field. Part 2: imaging compressive-wave and shear-wave velocities

A Graphical Derivation of the Perpendicular Ray Jacobian

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