Wave-equation reflection traveltime inversion with dynamic warping and full-waveform inversion

Ma, Yuanming; Hale, Dave

doi:10.1190/geo2013-0004.1

Cited by 254 publications

(114 citation statements)

References 29 publications

Supporting

Mentioning

110

Contrasting

Order By: Relevance

“…Similar to Ma and Hale (2013), we can calculate the gradient of the objective function 13 with respect to v and w as follows:…”

Section: Appendix B Gradient Calculationmentioning

confidence: 99%

Simultaneous Inversion of the Background Velocity and the Perturbation in Full Waveform Inversion

Alkhalifah

2015

Proceedings

View full text Add to dashboard Cite

The gradient of standard full-waveform inversion (FWI) attempts to map the residuals in the data to perturbations in the model. Such perturbations may include smooth background updates from the transmission components and high wavenumber updates from the reflection components. However, if we fix the reflection components using imaging, the gradient of what is referred to as reflected-waveform inversion (RWI) admits mainly transmission background-type updates. The drawback of existing RWI methods is that they lack an optimal image capable of producing reflections within the convex region of the optimization. Because the influence of velocity on the data was given mainly by its background (propagator) and perturbed (reflectivity) components, we have optimized both components simultaneously using a modified objective function. Specifically, we used an objective function that combined the data generated from a source using the background velocity, and that by the perturbed velocity through Born modeling, to fit the observed data. When the initial velocity was smooth, the data modeled from the source using the background velocity will mainly be reflection free, and most of the reflections were obtained from the image (perturbed velocity). As the background velocity becomes more accurate and can produce reflections, the role of the image will slowly diminish, and the update will be dominated by the standard FWI gradient to obtain high resolution. Because the objective function was quadratic with respect to the image, the inversion for the image was fast. To update the background velocity smoothly, we have combined different components of the gradient linearly through solving a small optimization problem. Application to the Marmousi model found that this method converged starting with a linearly increasing velocity, and with data free of frequencies below 4 Hz. Application to the 2014 Chevron Gulf of Mexico imaging challenge data set demonstrated the potential of the proposed method.

show abstract

“…Similar to Ma and Hale (2013), we can calculate the gradient of the objective function 13 with respect to v and w as follows:…”

Section: Appendix B Gradient Calculationmentioning

confidence: 99%

Simultaneous Inversion of the Background Velocity and the Perturbation in Full Waveform Inversion

Alkhalifah

2015

Proceedings

View full text Add to dashboard Cite

show abstract

“…However, with reflection geometries, FWI fails to invert for volumetric changes in velocity and the result tends to be like that of a least-squares migration. Ma and Hale (2013) successfully overcome this problem. However, to extend their method to time-lapse applications requires further study.…”

Section: Discussionmentioning

confidence: 99%

Using image warping for time-lapse image domain wavefield tomography

Yang

Malcolm

Fehler

2013

SEG Technical Program Expanded Abstracts 2013

View full text Add to dashboard Cite

Time-lapse seismic data are widely used for monitoring subsurface changes. A quantitative assessment of how reservoir properties have changed allows for better interpretation of fluid substitution and fluid migration during processes such as oil and gas production and carbon sequestration. Full-waveform inversion (FWI) has been proposed as a way to retrieve quantitative estimates of subsurface properties through seismic waveform fitting. However, for some monitoring systems, the offset range versus depth of interest is not large enough to provide information about the low-wavenumber component of the velocity model. We evaluated an image domain wavefield tomography (IDWT) method using the local warping between baseline and monitor images as the cost function. This cost function is sensitive to volumetric velocity anomalies, and it is capable of handling large velocity changes with very limited acquisition apertures, where traditional FWI fails. We described the theory and workflow of our method. Layered model examples were used to investigate the performance of the algorithm and its robustness to velocity errors and acquisition geometry perturbations. The Marmousi model was used to simulate a realistic situation in which IDWT successfully recovers time-lapse velocity changes.

show abstract

“…WT was previously implemented under the isotropic approximation (Zhou et al, 1995(Zhou et al, , 1997Van Leeuwen and Mulder, 2010;Ma and Hale, 2013;Zhang et al, 2015). However, the first arrivals may be strongly influenced by anisotropy at the near-surface with the consequence that isotropic migration will mis-position reflectors in depth (Shen et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

Skeletonized wave-equation inversion in vertical symmetry axis media without too much math

Feng

Schuster

2017

Interpretation

View full text Add to dashboard Cite

We have developed a tutorial for skeletonized inversion of pseudo-acoustic anisotropic vertical symmetry axis (VTI) data. We first invert for the anisotropic models using wave-equation traveltime inversion. Here, the skeletonized data are the traveltimes of transmitted and/or reflected arrivals that lead to simpler misfit functions and more robust convergence compared with full-waveform inversion. This provides a good starting model for waveform inversion. The effectiveness of this procedure is illustrated with synthetic data examples and a marine data set recorded in the Gulf of Mexico.

show abstract

Wave-equation reflection traveltime inversion with dynamic warping and full-waveform inversion

Cited by 254 publications

References 29 publications

Simultaneous Inversion of the Background Velocity and the Perturbation in Full Waveform Inversion

Simultaneous Inversion of the Background Velocity and the Perturbation in Full Waveform Inversion

Using image warping for time-lapse image domain wavefield tomography

Skeletonized wave-equation inversion in vertical symmetry axis media without too much math

Contact Info

Product

Resources

About