A mathematical framework for blind deconvolution inverse problems

Canadas, Guy

doi:10.1190/1.1817146

Cited by 14 publications

(5 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Their stochastic behaviors are not white or Gaussian noise (Canadas, 2002). Observations in various geographic zones have verified that their distributions were symmetrical but had a narrow central peak and tail that decayed much more slowly than Gaussian distribution (Walden and Hosken, 1986).…”

Section: Constrained Reflectivity Inversionmentioning

confidence: 95%

See 1 more Smart Citation

Application of Gabor deconvolution to the correction of nonstationarity for reasonable reflectivity estimations

Sun

2014

The Leading Edge

View full text Add to dashboard Cite

Statistical white reflectivity, minimum-phase wavelets, and stationarity are regarded to be three major shortcomings in dealing with the Robinson convolution model. Modern reflectivity inversion methods (e.g., constrained reflectivity inversion) mainly attempt to reduce side effects of the first two assumptions, but most of them overlook the important fact that seismic signals are typically nonstationary. Numerical tests and practical applications have verified that nonstationarity does have great influence on reflectivity estimation and probably would result in misplaced positions or wrongly restored amplitudes for estimated reflectivity. Nonstationarity can be tackled from a perspective of hyperbolic smoothing in Gabor deconvolution. Specially, the energy relationship of hyperbolic strips in a log spectrum can be taken as a quantitative indicator in balancing nonstationarity and conditioning seismic traces to the assumption of unchanging wavelets. Applications to marine seismic data show that balancing nonstationarity finally helps to recover subtle reflectivity information and promotes better displays of geologic features of the subsurface.

show abstract

Section: Constrained Reflectivity Inversionmentioning

confidence: 95%

“…In this case, the objective function for reflectivity inversion can be established as (Sacchi, 1997;Canadas, 2002) ,…”

Section: Constrained Reflectivity Inversionmentioning

confidence: 99%

Application of Gabor deconvolution to the correction of nonstationarity for reasonable reflectivity estimations

Sun

2014

The Leading Edge

View full text Add to dashboard Cite

show abstract

“…Here, we would examine these effects on constrained reflectivity inversion. A comprehensive form of the inverse problem can be proposed as (Sacchi 1997, Canadas 2002, Velis 2008 2…”

Section: Applications On Balancing Nonstationaritymentioning

confidence: 99%

Improved Gabor Deconvolution and Its Extended Applications

Sun

2016

Acta Geophys.

View full text Add to dashboard Cite

“…Adding the entire target function to the adjustment factor term Q, the resulting solution contains minimum structure, that is, maximum sparsity (Canadas, 2002).…”

Section: Compute the Reflection Coefficientsmentioning

confidence: 99%

“…This method uses the conjugate gradient method to realize sparse deconvolution after the introduction of a constrained precondition (Canadas, 2002). The introduction of the preconditioned conjugate gradient…”

mentioning

confidence: 99%

The preconditioned conjugate gradient deconvolution method and its application

Liu

2006

Appl. Geophys.

View full text Add to dashboard Cite

A mathematical framework for blind deconvolution inverse problems

Cited by 14 publications

References 7 publications

Application of Gabor deconvolution to the correction of nonstationarity for reasonable reflectivity estimations

Application of Gabor deconvolution to the correction of nonstationarity for reasonable reflectivity estimations

Improved Gabor Deconvolution and Its Extended Applications

The preconditioned conjugate gradient deconvolution method and its application

Contact Info

Product

Resources

About