Applications of plane‐wave destruction filters

Fomel, Sergey

doi:10.1190/1.1527095

Cited by 689 publications

(259 citation statements)

References 25 publications

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“…Equation (1) provides the means for predicting a trace in the GPR image from its neighbor as a function of local dip. Fomel's (2002) three-point filter is derived from this equation:…”

Section: Plane-wave Destructionmentioning

confidence: 99%

“…Plane-wave destruction (PWD) is a predictive filtering method designed to suppress events in a seismic or GPR record having a particular dip (Claerbout, 1992;Fomel, 2002). The GPR image is modeled as the local superposition of plane waves described by the following differential equation (Fomel, 2002):…”

Section: Plane-wave Destructionmentioning

confidence: 99%

“…The GPR image is modeled as the local superposition of plane waves described by the following differential equation (Fomel, 2002):…”

Section: Plane-wave Destructionmentioning

confidence: 99%

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Measuring snow water equivalent from common-offset GPR records through migration velocity analysis

Clair

Holbrook

2017

The Cryosphere

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Abstract. Many mountainous regions depend on seasonal snowfall for their water resources. Current methods of predicting the availability of water resources rely on long-term relationships between stream discharge and snowpack monitoring at isolated locations, which are less reliable during abnormal snow years. Ground-penetrating radar (GPR) has been shown to be an effective tool for measuring snow water equivalent (SWE) because of the close relationship between snow density and radar velocity. However, the standard methods of measuring radar velocity can be time-consuming. Here we apply a migration focusing method originally developed for extracting velocity information from diffracted energy observed in zero-offset seismic sections to the problem of estimating radar velocities in seasonal snow from common-offset GPR data. Diffractions are isolated by planewave-destruction (PWD) filtering and the optimal migration velocity is chosen based on the varimax norm of the migrated image. We then use the radar velocity to estimate snow density, depth, and SWE. The GPR-derived SWE estimates are within 6 % of manual SWE measurements when the GPR antenna is coupled to the snow surface and 3-21 % of the manual measurements when the antenna is mounted on the front of a snowmobile ∼ 0.5 m above the snow surface.

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“…Equation (1) provides the means for predicting a trace in the GPR image from its neighbor as a function of local dip. Fomel's (2002) three-point filter is derived from this equation:…”

Section: Plane-wave Destructionmentioning

confidence: 99%

Section: Plane-wave Destructionmentioning

confidence: 99%

See 1 more Smart Citation

Measuring snow water equivalent from common-offset GPR records through migration velocity analysis

Clair

Holbrook

2017

The Cryosphere

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“…The dips are estimated using plane-wave destruction filters (Claerbout, 1992;Fomel, 2002) and can be usually precomputed from the standard migration image or can be evaluated at every iteration from the gradient.…”

Section: Multisource Lsrtm Using Seisletsmentioning

confidence: 99%

“…They use basis functions that are aligned along dominant seismic events or dips. In 2D or 3D, the basis functions from the seislet transform follow locally linear events obtained from the input data using local plane-wave destruction filters (Claerbout, 1992;Fomel, 2002). Through numerical tests, they demonstrated the superior compression, interpolation and denoising properties of the seislet transform over the digital wavelet transform.…”

Section: Introductionmentioning

confidence: 99%

Sparse least-squares reverse time migration using seislets

Dutta

2017

Journal of Applied Geophysics

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Seismic ray‐impedance inversion

Wang¹

2016

Seismic Inversion

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This thesis investigates a prestack seismic inversion scheme implemented in the ray parameter domain. Conventionally, most prestack seismic inversion methods are performed in the incidence angle domain. However, inversion using the concept of ray impedance, as it honours ray path variation following the elastic parameter variation according to Snell's law, shows the capacity to discriminate different lithologies if compared to conventional elastic impedance inversion.The procedure starts with data transformation into the ray-parameter domain and then implements the ray impedance inversion along constant ray-parameter profiles. With different constant-ray-parameter profiles, mixed-phase wavelets are initially estimated based on the high-order statistics of the data and further refined after a proper well-toseismic tie. With the estimated wavelets ready, a Cauchy inversion method is used to invert for seismic reflectivity sequences, aiming at recovering seismic reflectivity sequences for blocky impedance inversion. The impedance inversion from reflectivity sequences adopts a standard generalised linear inversion scheme, whose results are utilised to identify rock properties and facilitate quantitative interpretation. It has also been demonstrated that we can further invert elastic parameters from ray impedance values, without eliminating an extra density term or introducing a Gardner's relation to absorb this term.Ray impedance inversion is extended to P-S converted waves by introducing the definition of converted-wave ray impedance. This quantity shows some advantages in connecting prestack converted wave data with well logs, if compared with the shearwave elastic impedance derived from the Aki and Richards approximation to the Zoeppritz equations. An analysis of P-P and P-S wave data under the framework of ray impedance is conducted through a real multicomponent dataset, which can reduce the uncertainty in lithology identification.

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Applications of plane‐wave destruction filters

Cited by 689 publications

References 25 publications

Measuring snow water equivalent from common-offset GPR records through migration velocity analysis

Measuring snow water equivalent from common-offset GPR records through migration velocity analysis

Sparse least-squares reverse time migration using seislets

Seismic ray‐impedance inversion

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