Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

By N. Bleistein, Jack K. Cohen, J. Stockwell. 2001

601 citations recorded by the source corpus.

Subfields: Geophysics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8709b022d4e3a639f5fc33069cbbefa09ac87250

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Citations in the corpus

Sparsity- and continuity-promoting seismic image recovery with curvelet frames (2008, background): “The primary focus of seismic imaging is to locate singularities in the earth’s elastic properties from seismic data recorded at the surface (2; 19; 45; 40; 4; 5).”
Interferometry by deconvolution. Part 1 -Theory for acoustic waves and numerical examples (2008, neutral): “Bleistein et al., 2001".”
Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration (2005, result): “However, we are able to prove that the reflection amplitude agrees with the amplitudes generated by Kirchhoff inversion (true amplitude Kirchhoff migration) as developed by one of the authors [Bleistein, 1987, Bleistein et al, 2001] and colleagues.”
Coordinate-independent Angle-gathers For Wave Equation Migration (2005, methodology): “(28) Then, using equations(26) and(28), we can obtain the reflection angle field tanθ(m) using a simple division of the two images: tanθ(m) = Rθ (m) R0 (m) , (29) analogously to methodology employed by Bleistein et al. (2000) to Kirchhoff imaging.”
Spurious multiples in seismic interferometry of primaries (2006, background): “(19) In this example, and the following examples, ∂2L/∂x∂y = 0 at the stationary point, and the two-dimensional stationary phase integral reduces to the product of two one-dimensional stationary phase integrals over the x- and y-coordinates, respectively.”
Connection of scattering principles: a visual and mathematical tour (2012, methodology): “Migration methods [19, 20] are the most widely used imaging techniques and their accuracy depends on the knowledge of the velocity in the subsurface.”
Non-parametric seismic data recovery with curvelet frames (2008, methodology): “Examples of parametric methods are the so-called data mappings (Bleistein et al., 2001), based on approximate solutions of the wave equation.”