A two‐way nonreflecting wave equation

Baysal, Edip; Kosloff, Dan; Sherwood, John

doi:10.1190/1.1441644

Cited by 153 publications

(41 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nonreflecting acoustic wave equation can provide arough description of the transmitted wavefield. The equation is illustrated as follow (Baysal et al, 1984):…”

Section: Theorymentioning

confidence: 99%

Time-domain full waveform inversion using the gradient preconditioning based on transmitted waves energy

Zhang

Tan

Song

et al. 2017

International Geophysical Conference, Qingdao, China, 17-20 April 2017

View full text Add to dashboard Cite

SummaryThe gradient preconditioning approach based on seismic wave energy can effectively avoid the huge storage consumption in the gradient preconditioning algorithms based on Hessian matrices in time-domain full waveform inversion (FWI), but the accuracy is affected by the energy of reflected waves when strong reflectors are present in velocity model. To address this problem, we propose a gradient preconditioning method, which scales the gradient based on the energy of the "approximated transmitted wavefield" simulated by the nonreflecting acoustic wave equation. The method does not require computing or storing the Hessian matrix or its inverse. Furthermore, it can effectively eliminate the effects caused by geometric diffusion and non-uniformity illumination on gradient. The results of model experiments confirm that the time-domain FWI using the gradient preconditioning based on transmitted waves energy can achieve higher inversion precision for high-velocity body and the deep strata below when compared with using the gradient preconditioning based on seismic waves energy.

show abstract

“…The nonreflecting acoustic wave equation can provide arough description of the transmitted wavefield. The equation is illustrated as follow (Baysal et al, 1984):…”

Section: Theorymentioning

confidence: 99%

Time-domain full waveform inversion using the gradient preconditioning based on transmitted waves energy

Zhang

Tan

Song

et al. 2017

International Geophysical Conference, Qingdao, China, 17-20 April 2017

View full text Add to dashboard Cite

show abstract

“…Baysal etc. use non-reflection equation to eliminate inner reflection in the vertical incident wave, but it is only suitable to post-stack data [27]. Loewenthal etc.…”

Section: Local Image Matrixmentioning

confidence: 99%

Local Image Matrix Based on Poynting Vector and Its Application in RTM

Yang¹,

Liu²

2016

IJSIP

View full text Add to dashboard Cite

show abstract

“…Other pre-imaging condition approaches are performed by modifying the wave equation to attenuate the reflections coming from sharp interfaces (Fletcher et al, 2005). A similar method applicable to post-stack migration uses impedance matching at sharp interfaces (Baysal et al, 1984).…”

Section: Introductionmentioning

confidence: 99%

Understanding the reverse time migration backscattering: noise or signal?

Díaz

Sava

2012

SEG Technical Program Expanded Abstracts 2012

View full text Add to dashboard Cite

Reverse time migration (RTM) backscattered events are produced by the cross-correlation between waves reflected from sharp interfaces (e.g. the top of salt bodies). Commonly, these events are seen as a drawback for the RTM method because they obstruct the image of the geologic structure. Many strategies have been developed to filter out the artifacts from the conventional image. However, these events contain information that can be used to analyze kinematic synchronization between source and receiver wavefields reconstructed in the subsurface. Numeric and theoretical analysis indicate the sensitivity of the backscattered energy to velocity accuracy: an accurate velocity model maximizes the backscattered artifacts. The analysis of RTM extended images can be used as a quality control tool and as input to velocity analysis designed to constrain salt models and sediment velocity.The analysis in this thesis suggest that we can use backscattering events along with reflection data to define a joint optimization problem for velocity model building. The gradient required for model optimization suffers from cross-talk, similar to the more conventional RTM images. In order to avoid the cross-talk, I use a directional filter based on Poynting vectors which preserves the components of the wavefield traveling in the same direction.Using backscattered waves for constraining the velocity in the sediment section requires defining the top of salt in advance, which implies a dynamic workflow for model building in salt environments where both sediment velocity and salt interface change iteratively during inversion.

show abstract

A two‐way nonreflecting wave equation

Cited by 153 publications

References 3 publications

Time-domain full waveform inversion using the gradient preconditioning based on transmitted waves energy

Time-domain full waveform inversion using the gradient preconditioning based on transmitted waves energy

Local Image Matrix Based on Poynting Vector and Its Application in RTM

Understanding the reverse time migration backscattering: noise or signal?

Contact Info

Product

Resources

About