Wavelet estimation for a multidimensional acoustic or elastic earth

Weglein, Arthur B.; Secrest, Bruce G.

doi:10.1190/1.1892401

Cited by 10 publications

(12 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was recently shown how, from two boundary conditions, deterministic wavelet estimation for a source located above the boundary can be found [Loewenthal et al, 1985;Loewenthal andShtivelman, 1989, 1990;Weglein and Secrest 1990;Carrion et al, 1990]. In the sequel we will review the processes that proper boundary conditions have achieved and hint on the potential future of this new approach.…”

Section: Paper Number 91jb01428mentioning

confidence: 99%

Proper boundary conditions in reflection seismograms

Loewenthal¹

1991

J. Geophys. Res.

View full text Add to dashboard Cite

During the last few years it became feasible to record in the marine environment the reflection seismograms of the acoustic pressure field along two horizontal streamers emersed one below the other. This enables a more exact treatment of the wave equation as a second-order partial differential equation requiring two boundary conditions such as the pressure field and its gradient. According to Green's representation theorem, if the actual source is located above the two streamers, the wave field can be reconstructed for any point below them provided the medium parameters are known. Alternatively, if the dual acoustic field, namely, the pressure and particle velocity, is measured along a single horizontal streamer placed below the source, both dual fields may be reconstructed. As a first step to demonstrate the power of processing simultaneously the dual fields, we show how the source signature estimation, deghosting and deconvolution can be deterministically derived. As far as we know these processes cannot be done with a single set of boundary conditions.

show abstract

Section: Paper Number 91jb01428mentioning

confidence: 99%

Proper boundary conditions in reflection seismograms

Loewenthal¹

1991

J. Geophys. Res.

View full text Add to dashboard Cite

show abstract

“…Although this approach is quite elegant from a conceptual and mathematical point of view, it tends to be sensitive to the value of the initial parameters provided and is correspondingly susceptible to local minima of the parameter space. Alternatively, the source wavelet can be estimated before the actual waveform inversion is performed, for example using a deconvolution-based approach (e.g., Cheng et al, 1996;Pratt, 1999;Pratt and Goulty, 1991;Velis and Ulrych, 1996;Wang and Mendel, 1992;Weglein and Secrest, 1990). In this regard, Ernst et al (2007b) proposed a relatively simple iterative deconvolution technique, whereby the georadar source wavelet is estimated before applying their waveform inversion procedure, and can be updated as the inversion proceeds if convergence proves difficult.…”

Section: Introductionmentioning

confidence: 98%

Analysis of an iterative deconvolution approach for estimating the source wavelet during waveform inversion of crosshole georadar data

Belina

Irving

Ernst

et al. 2012

Journal of Applied Geophysics

View full text Add to dashboard Cite

“…For onshore plays, the extended elastic Green's theorem method is applicable for displacement data (Pao and Varatharajulu, 1976;Weglein and Secrest, 1990;Wu and Weglein, 2015a). Both the ground roll and the receiver-side ghosts can be removed in one step, when a homogeneous elastic whole space is chosen as the reference medium.…”

Section: Introductionmentioning

confidence: 99%

Green's theorem-based onshore preprocessing: A reduced data requirement assuming a vacuum/earth model for the air/earth interface and the evaluation of the usefulness of that assumption

Weglein

2016

SEG Technical Program Expanded Abstracts 2016

View full text Add to dashboard Cite

The elastic Green's theorem wave separation method can effectively reduce ground roll and ghosts in land data, and most importantly, without harming reflection data. Both tractions and multicomponent displacements are assumed in the original elastic Green's theorem method (Wu and Weglein, 2015a). However, it is not easy to measure tractions directly. In order to reduce the requirement of traction, this paper simplifies the algorithm assuming that the acquisition is on a vacuum/earth surface. The new formula requires the traction at only the source point rather than all the points along the measurement surface. The reason is that traction is zero everywhere except the place where the source is located. Synthetic tests show: (1) successful processing results for data that are generated assuming a vacuum/earth boundary, and (2) very useful results when the data are generated from a more realistic air/earth model.

show abstract

Wavelet estimation for a multidimensional acoustic or elastic earth

Cited by 10 publications

References 0 publications

Proper boundary conditions in reflection seismograms

Proper boundary conditions in reflection seismograms

Analysis of an iterative deconvolution approach for estimating the source wavelet during waveform inversion of crosshole georadar data

Green's theorem-based onshore preprocessing: A reduced data requirement assuming a vacuum/earth model for the air/earth interface and the evaluation of the usefulness of that assumption

Contact Info

Product

Resources

About