Stability versus accuracy for an explicit wavefield extrapolation operator

Journal Article · Mon Feb 01 04:00:00 EST 1993 · Geophysics; (United States)

DOI:https://doi.org/10.1190/1.1443412· OSTI ID:5931268

Nautiyal, A ^[1]; Gray, S H; Whitmore, N D; Garing, J D ^[2]

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1. Consulting Geophysicists, Calgary, AB (Canada)
2. Amoco Production Co., Tulsa, OK (United States)

Wavefield extrapolation by recursive (depth-by-depth) application of a convolutional operator in the frequency-space domain, commonly used for depth migration in a laterally-varying earth, has interesting accuracy and stability properties. The authors analyze these properties by investigating the operator and its spatial Fourier transform. In particular, they show that the instability caused by spatially truncating the operator can be remedied unconditionally by applying an appropriately chosen spatial taper. However, unconditional stability is gained only at the expense of accuracy. They also identify frequencies and depth extrapolation step sizes for which the problems of accuracy or stability are the most pronounced.

• OSTI ID: 5931268
• Journal Information: Geophysics; (United States), Journal Name: Geophysics; (United States) Vol. 58:2; ISSN GPYSA7; ISSN 0016-8033
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
580000* -- Geosciences
ACCURACY
DATA ANALYSIS
EXTRAPOLATION
FOURIER TRANSFORMATION
FREQUENCY MEASUREMENT
GEOPHYSICAL SURVEYS
INTEGRAL TRANSFORMATIONS
NUMERICAL SOLUTION
SEISMIC SURVEYS
SEISMIC WAVES
SURVEYS
TRANSFORMATIONS
WAVE PROPAGATION