Seismic waveform tomography in the frequency-space domain: selection of the optimal temporal frequency for inversion

Yokota, Toshiyuki; Matsushima, Jun

doi:10.1071/eg04019

Cited by 8 publications

(5 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…'cycle skipping' or 'phase rapping' that result from the 2π uncertainty of in determining the phase is a basic problem of the FWI. So the frequency of the waveforms or starting model of the inversion should be chosen carefully [10]. The inversion process is started with low frequency component and gradually changes the frequency band as including the higher frequency part.…”

Section: B Full Waveform Inversion Methodsmentioning

confidence: 99%

Application of the full-waveform inversion techniques to the estimation of the sound velocity structure in the ocean

Kida¹,

Mikada

Goto

et al. 2012

2012 Oceans

View full text Add to dashboard Cite

The travel-time inversion method has been developed using a ray-tracing scheme in the Munk's Ocean Acoustic Tomography (OAT) method. The method has some similarity with seismic exploration both in the theory and data processing methods except for the direct utilization of waveform in seismic exploration. The waveform analysis is a powerful tool to investigate the velocities in the areas of interest, and the importance to use waveform is widely recognized in seismic explorations. However there are few precedent studies dealing with waveform inversion in the application of OAT. This study investigates the effectiveness and applicability of the full waveform inversion method to estimate underwater sound velocity structures. We use an adjoint-state method for the calculation of the gradient in an iterative inversion based on a pre-conditioned conjugate gradient method. We first demonstrate results from a full waveform inversion method applied to a synthetic dataset that reflects the sound velocity structure. The results are then compared with those from a conventional ray-based travel time inversion method to evaluate the effectiveness of the method. The results show that the full waveform inversion method could provide more precise image with higher resolution than the ray-based method. The full waveform inversion method is also applied to a VCS experiment field data in Lake Biwa. In spite of very limited path condition using only direct arrival wave, the full waveform inversion method could describe the horizontal velocity structure possibly due to seasonal thermocline in the lake. We conclude that the FWI method could be the key success factor for the higher resolution at estimation of underwater sound velocity structure.

show abstract

Section: B Full Waveform Inversion Methodsmentioning

confidence: 99%

Application of the full-waveform inversion techniques to the estimation of the sound velocity structure in the ocean

Kida¹,

Mikada

Goto

et al. 2012

2012 Oceans

View full text Add to dashboard Cite

show abstract

“…The sequentially ordered single‐frequency waveform inversion in the conventional frequency domain has been implemented mostly as a double‐loop algorithm (Yokota & Matsushima 2004). In a single‐frequency loop, a specific number of iterations are performed per frequency.…”

Section: Multiloop Implementation Of the Sequentially Ordered Single‐mentioning

confidence: 99%

“…In frequency‐domain waveform inversion, three inversion approaches have been tried: a multifrequency simultaneous inversion (Lee & Kim 2003; Shin & Min 2006; Hu et al 2007), a sequential single‐frequency inversion (Yokota & Matsushima 2004; Sirgue & Pratt 2004; Operto et al 2006; Ben‐Hadj‐Ali et al 2008) and a combination of both approaches (Pratt 1999; Brenders & Pratt 2007; Bleibinhaus et al 2008; Jaiswal et al 2008). In the multifrequency simultaneous inversion, just as all time samples are inverted simultaneously in the time domain, all frequencies are inverted simultaneously (Lee & Kim 2003; Shin & Min 2006; Hu et al 2007).…”

Section: Introductionmentioning

confidence: 99%

“…In addition, to balance the contributions from the different frequency components, proper scaling of the steepest‐descent direction or data‐weighting scheme should be applied (Hu et al 2007; Jang et al 2009). Based on the facts that (1) a finite region in the wavenumber domain can be obtained from a single‐frequency component, depending on the acquisition geometry and (2) the inherent nonlinearity of the waveform inversion problem can be mitigated when the low‐frequency data are inverted initially because the low‐frequency data are less nonlinear with the model than high‐frequency data, a sequential single‐frequency inversion has been attempted that successively inverts from low‐ to high‐frequency data (Wu & Toksöz 1987; Yokota & Matsushima 2004; Sirgue & Pratt 2004; Operto et al 2006; Ben‐Hadj‐Ali et al 2008). Moreover, a sequential single‐frequency inversion requires less computational resources than the multifrequency simultaneous inversion and a proper scaling or data‐weighting problem is not an issue.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sequentially ordered single-frequency 2-D acoustic waveform inversion in the Laplace-Fourier domain

Shin

Koo

et al. 2010

Geophysical Journal International

View full text Add to dashboard Cite

S U M M A R YIn the conventional frequency-domain waveform inversion, either multifrequency simultaneous inversion or sequential single-frequency inversion has been implemented. However, most conventional frequency-domain waveform inversion methods fail to recover background velocity when low-frequency information is missing. Recently, new waveform inversion techniques in the Laplace and Laplace-Fourier domain have been proposed to recover background velocity structure from data with insufficient low-frequency information. In such techniques, however, all frequencies are inverted simultaneously, and this requires large computational resources and long computation times.In this paper, we propose a sequentially ordered single-frequency 2-D acoustic waveform inversion using the logarithmic objective function in the Laplace-Fourier domain. Our algorithm sequentially inverts single-frequency data in the Laplace-Fourier domain, thus reducing computational resources. Unlike most conventional waveform inversion methods requiring an initial velocity model close to the true model, we propose a one-step waveform inversion method in seeking to find a final velocity structure from the simple initial model through a hybrid combination of the Laplace domain inversion and the Fourier domain inversion.We adopt and evaluate the multiloop algorithm by modifying the double-loop algorithm commonly used in the conventional frequency-domain waveform inversion. Using the multiloop algorithm repeating loop over frequencies, the quality of the inversion results can be improved and the decision problem of the number of iterations for each frequency can be overcome effectively. Because the sequential order of the Laplace-Fourier frequencies in a 2-D plane should be assigned for inverting Laplace-Fourier frequency data consecutively, we present three different sequential orders of Laplace-Fourier frequencies while considering the multiscale and layer-stripping approach, and we compare the inversion results from the numerical experiments.We applied the sequentially ordered single-frequency 2-D acoustic waveform inversion in the full Laplace-Fourier domain to the synthetic seismic data produced from complex structure model and field data. A realistic model could be recovered in an efficient and robust manner, even using the two-layer homogeneous velocity model as an initial model. The inverted velocity model from the field data was validated by examining the migrated image from the pre-stack depth migration and the flattening of the common-image gathers or by comparing the synthetic shot gather with the real shot gather. The proposed one-step waveform inversion algorithm can be easily extended to the sequential inversion of 3-D acoustic or elastic data in the full Laplace-Fourier domain.

show abstract

“…However, in more recent years, faster computers, better inversion strategies (e.g. Pratt, 1999aPratt, , 1999bSirgue and Pratt, 2004;Yokota and Matsushima, 2004), and a greater demand for accurate information on subsurface structure have made this approach more and more appealing.…”

Section: Introductionmentioning

confidence: 99%

Direct waveform inversion via iterative inverse propagation

Schlottmann

2006

SEG Technical Program Expanded Abstracts 2006

View full text Add to dashboard Cite

SUMMARYSeismic waves are the most sensitive probe of the Earth's interior we have. With the dense data sets available in exploration, images of subsurface structures can be obtained through processes such as migration. Unfortunately, relating these surface recordings to actual Earth properties is non-trivial. Tomographic techniques use only a small amount of the information contained in the full seismogram and result in relatively low resolution images. Other methods use a larger amount of the seismogram but are based on either linearization of the problem, an expensive statistical search over a limited range of models, or both. We present the development of a new approach to full waveform inversion, i.e., inversion which uses the complete seismogram. This new method, which falls under the general category of inverse scattering, is based on a highly non-linear Fredholm integral equation relating the Earth structure to itself and to the recorded seismograms. An iterative solution to this equation is proposed. The resulting algorithm is numerically intensive but is deterministic, i.e., random searches of model space are not required and no misfit function is needed. Impressive numerical results in 1D are shown for several test cases.

show abstract

Seismic waveform tomography in the frequency-space domain: selection of the optimal temporal frequency for inversion

Cited by 8 publications

References 14 publications

Application of the full-waveform inversion techniques to the estimation of the sound velocity structure in the ocean

Application of the full-waveform inversion techniques to the estimation of the sound velocity structure in the ocean

Sequentially ordered single-frequency 2-D acoustic waveform inversion in the Laplace-Fourier domain

Direct waveform inversion via iterative inverse propagation

Contact Info

Product

Resources

About