Wavelet estimation for a multidimensional acoustic or elastic earth

Weglein, Arthur B.; Secrest, Bruce G.

doi:10.1190/1.1442905

Cited by 67 publications

(16 citation statements)

References 5 publications

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“…The theory of how dual-sensor data can be used to separate the recorded wavefield into its up-and downgoing parts has been discussed in detail by several authors (e.g., Claerbout, 1976;Fokkema and van den Berg, 1993;Weglein and Secrest, 1990;Amundsen, 1993;Ikelle and Amundsen, 2005). A brief overview of the relevant theory is presented here.…”

Section: Theoretical Backgroundmentioning

confidence: 98%

Wavefield-separation methods for dual-sensor towed-streamer data

et al. 2013

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A dual-sensor towed streamer records the pressure and vertical component of particle motion associated with the incident wavefield that may be used to separate the wavefield into its upand downgoing parts. This procedure requires information about the water properties (wave-propagation velocity and density) and is robust in the presence of errors in the estimation of these quantities of the magnitude likely to be encountered. In practice, the particle motion data recorded by current towed marine streamers encounter very strong mechanical noise such that, for the lowest frequencies, the wavefield separation must be approximated by deconvolving the ghost function from the pressure data. This procedure requires information about the streamer depth and is robust to small depth errors over the frequency range for which it is required for dual-sensor streamer processing, but it is much more sensitive if applied over the bandwidth necessary to deghost pressure data acquired at a conventional streamer depth. The signal-to-noise ratio can be further enhanced by recombining the up-and downgoing pressure fields at the sea surface, which has the effect of applying a ghostlike filter to noise that is recorded by only one of the two sensors. In practical marine acquisition scenarios, spatial sampling is often insufficient to yield an accurate result, especially in the crossline direction. If each streamer is processed independently assuming that the wavefield propagation is purely inline, significant errors can be introduced. For arrivals with high emergent angles, errors may also be introduced even if the wavefield propagation actually is purely inline due to incorrect treatment of spatially aliased energy. However, these effects are almost entirely confined to very shallow events. They can be mitigated by using independently derived information about the crossline propagation angle and, for data comprising predominantly forward scattered energy, appropriate application of linear moveout.

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Section: Theoretical Backgroundmentioning

confidence: 98%

Wavefield-separation methods for dual-sensor towed-streamer data

et al. 2013

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“…In the special case of a horizontal surface, a surface integral over space coordinates simplifies in the wavenumber domain to an evaluation at the boundaries (Morse and Feshbach, 1953;Weglein and Secrest, 1990).…”

Section: The Representation Theorem In the Wavenumber Domainmentioning

confidence: 99%

On seismic deghosting using integral representation for the wave equation: Use of Green’s functions with Neumann or Dirichlet boundary conditions

2013

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The recent interest in broadband seismic technology has spurred research into new and improved seismic deghosting solutions. One starting point for deriving deghosting methods is the representation theorem, which is an integral representation for the wave equation. Recent research results show that by using Green's functions with Dirichlet boundary conditions in the representation theorem, source-side deghosting of already receiverside deghosted wavefields can be achieved. We found that the choice of Green's functions with Neumann boundary conditions on the sea surface and the plane that contains the sources leads to an identical but simpler solution with fewer processing steps. In addition, we found that pressure data can be receiverside deghosted by introducing Green's functions with Dirichlet boundary conditions on the sea surface and the plane containing the receivers into a modified representation theorem. The deghosting methods derived from the representation theorem are wave-theoretic algorithms defined in the frequency-space domain and can accommodate streamers of any shape (e.g., slanted). Our theoretical analysis of deghosting is performed in the frequency-wavenumber domain where analytical deghosting solutions are well known and thus are available for verifying the solutions. A simple numerical example can be used to show how source-side deghosting can be performed in the space domain by convolving data with Green's functions.

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“…A significant advantage of these methods is their ability to extract source array patterns. These methods, however, assume that the medium above the recording surface is known and that the wavefield and its normal derivative are measured (Weglein and Secrest, 1990), which is the case only in OBC and dual-sensor towed streamer surveys (Tenghamn et al, 2007). To alleviate the recording of the normal derivative of the wavefield, Osen et al (1998) propose a modification to the method of Weglein and Secrest (1990).…”

Section: Introductionmentioning

confidence: 97%

“…Wave-theoretical methods of source signature extraction (Weglein and Secrest, 1990;Osen et al, 1998) are more accurate compared to the other existing methods. A significant advantage of these methods is their ability to extract source array patterns.…”

Section: Introductionmentioning

confidence: 98%

Virtual Real Source: Source signature estimation using seismic interferometry

Behura

Snieder

2013

GEOPHYSICS

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Knowledge of the seismic source signature is crucial in numerousproblems in exploration seismology, especially in fullwaveform inversion. However, existing methods of source signature estimation like statistical methods and well-log-based methods suffer from several drawbacks arising from assumptions such as whiteness of the reflectivity series and the minimumphase character of the wavelet. Also, estimation of the source signature using wave-theoretical methods requires the recording of the wavefield and its normal derivative or additional recordings above the receiver surface which are not always available. We introduce a method, called the Virtual Real Source, of extracting the source signature based on the theory of seismic interferometry, also known as the virtual source method. This method is independent of the assumptions and drawbacks of the abovementioned methods. The only requirement for the method of

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Wavelet estimation for a multidimensional acoustic or elastic earth

Cited by 67 publications

References 5 publications

Wavefield-separation methods for dual-sensor towed-streamer data

Wavefield-separation methods for dual-sensor towed-streamer data

On seismic deghosting using integral representation for the wave equation: Use of Green’s functions with Neumann or Dirichlet boundary conditions

Virtual Real Source: Source signature estimation using seismic interferometry

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