A comparison of 5D reconstruction methods

Stanton, Aaron; Kreimer, Nadia; Bonar, David; Naghizadeh, Mostafa; Sacchi, Mauricio D.

doi:10.1190/segam2012-0269.1

Cited by 15 publications

(3 citation statements)

References 8 publications

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“…There are not many papers that apply the 5D reconstruction concept, and the literature that can be found openly is used for seismic data recovery. For example, Poole and Veritas's paper [ 17 ] uses the antileakage Fourier transform to reconstruct 5D seismic data, Stanton and Sacchi's paper [ 18 ] uses the convex set projection algorithm to reconstruct 5D seismic data, and another paper [ 19 ] compares three 5D seismic data reconstruction methods.…”

Section: New Conceptsmentioning

confidence: 99%

Intelligent Situation Awareness Based on the Fractal Dimension and Multidimensional Reconstruction

Wang,

Yuan,

Jia

et al. 2024

Advcd Theory and Sims

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In order to realize autonomy and intelligence for situation awareness, this paper proposes an intelligent situation awareness model based on fractional dimension information mining and multidimensional information reconstruction. First, some new concepts are proposed, the spatial situation perception is established by 3D reconstruction of the input fusion information, 4D reconstruction completes the situation comprehension and 5D reconstruction seeks the situation prediction. The three‐level situation estimation model is optimized to a more robust flexible model. Combined with the database system, the reasoning learning mechanism, and the diversified human‐machine interface concept, a basic framework of intelligent situation awareness is constructed. Second, the basic process of intelligent situation awareness is provided. Third, based on the flexible configuration method of the situation awareness system and the concept of unmanned weight determination for the situation awareness agents, an efficiency measurement model for the intelligent situation awareness model is also constructed, and an evaluation method for the consistency of multinode intelligent situation awareness is also provided. Fourth, the paper gives a typical electromagnetic situation estimation example for a drilling platform to explain and validate the concepts. Finally, several suggestions are put forward for the next construction of an intelligent situation awareness system.

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Section: New Conceptsmentioning

confidence: 99%

Intelligent Situation Awareness Based on the Fractal Dimension and Multidimensional Reconstruction

Wang,

Yuan,

Jia

et al. 2024

Advcd Theory and Sims

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“…Other methods that have been proposed in the literature to address the problem of seismic interpolation are those using sparsity constraints and suitable representations [5,47], alternating projection methods (POCS) [1,18,41], specialized filters [15,39] and matching pursuit methods [31,48,49] to name a few. There are several suggestions in the literature concerning rank minimization formulations, see for instance [6,19,25,26,40,42] that all address higher-dimensional interpolation problems. For an overview of five-dimensional reconstruction methods, see [40].…”

Section: Inverse Problemsmentioning

confidence: 99%

“…There are several suggestions in the literature concerning rank minimization formulations, see for instance [6,19,25,26,40,42] that all address higher-dimensional interpolation problems. For an overview of five-dimensional reconstruction methods, see [40].…”

Section: Inverse Problemsmentioning

confidence: 99%

A variational formulation for interpolation of seismic traces with derivative information

2015

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We construct a variational formulation for the problem of interpolating seismic data in the case of missing traces. We assume that we have derivative information available at the traces. The variational problem is essentially the minimization of the integral over the smallest eigenvector of the structure tensor associated with the interpolated data. This has the physical meaning of penalizing the local presence of more than one direction in the interpolation. We show that the solution to the variational problem also satisfies an elliptic partial di↵erential equation. Moreover, this can be obtained by considering the steady state solution of a non-standard anisotropic di↵usion problem. We show existence and uniqueness for this type of anisotropic di↵usion. In particular, the uniqueness property is important as it guarantees that the unique solution to the variational problem that we constructed can be obtained by the numerical schemes we propose.

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