2012
DOI: 10.1190/geo2011-0505.1
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Globally optimized finite-difference extrapolator for strongly VTI media

Abstract: Implicit finite-difference (FD) migration is unconditionally stable and is popular in handling strong velocity variations, but its extension to strongly transversely anisotropic media with vertical symmetric axis media is difficult. Traditional local optimizations generate the optimized coefficients for each pair of Thomsen anisotropy parameters independently, which can degrade results substantially for large anisotropy variations and lead to a huge table. We developed an implicit FD method using the analytic … Show more

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Cited by 22 publications
(2 citation statements)
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“…A proper error threshold is essential to the success of optimization (Zhang and Yao, 2012). For an error limitation that is too small (e.g., 0.00001), it is hard to gain a much wider wavenumber coverage.…”
Section: Optimization Scheme Of the Fd Operatormentioning
confidence: 99%
“…A proper error threshold is essential to the success of optimization (Zhang and Yao, 2012). For an error limitation that is too small (e.g., 0.00001), it is hard to gain a much wider wavenumber coverage.…”
Section: Optimization Scheme Of the Fd Operatormentioning
confidence: 99%
“…Some researchers tried to improve the accuracy of the differencing approximation by deriving optimized finite‐difference coefficients (e.g. Geller & Takeuchi, 1998; Kindelan et al., 1990; Kosloff et al., 2010; Liu & Sen, 2013; Zhang & Yao, 2012). The penalty, however, is reducing the stability of the finite‐difference schemes.…”
Section: Introductionmentioning
confidence: 99%