A fourth order accuracy summation-by-parts finite difference scheme for acoustic reverse time migration in boundary-conforming grids

Wang, Ying; Zhou, Hui; Yuan, Sanyi; Ye, Yameng

doi:10.1016/j.jappgeo.2016.12.002

Cited by 6 publications

(4 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One way to include the topography of the acquisition surface is to perform a conformal transformation from a domain with a curved upper surface to a rectangular Cartesian grid. The strategy of conformally transform the grids has been developed by many authors in curvilinear coordinates, for instance see [1,7,17] , for the elastic wave equation and [18] for the acoustic wave equation. In these works the wave equation is transformed (a smooth coordinate transformation) to be implemented in a cartesian grid which conforms with a curved irregular grid, an orthogonality condition is possed and then some terms with mixed partial derivatives of the wavefield vanish, and the result is a wave equation with a transformed Laplacian operator.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the stability and dispersion for a Riemannian acoustic wave equation

Quiceno

Arias

2019

Applied Mathematics and Computation

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Analysis of the stability and dispersion for a Riemannian acoustic wave equation

Quiceno

Arias

2019

Applied Mathematics and Computation

View full text Add to dashboard Cite

“…There is extensive existing work addressing numerical approximation of PDE posed on composite domains with interfaces or irregular domains, for example, the boundary integral method [11,56], difference potentials method [3,6,26,27,58,67], immersed boundary method [30,42,61,74], immersed interface method [2,46,47,49,69], ghost fluid method [31,32,50,51], the matched interface and boundary method [82,84,85,86], Cartesian grid embedded boundary method [19,41,57,83], multigrid method for elliptic problems with discontinuous coefficients on an arbitrary interface [18], virtual node method [9,39], Voronoi interface method [35,36], the finite difference method [8,10,24,75,78,79] and finite volume method [22,34] based on mapped grids, or cut finite element method [13,14,15,…”

Section: Introductionmentioning

confidence: 99%

“…related by the interface conditions(8,9), so that the number of unknowns in(79) is equal the dimension of either c i+1 depending on which one is considered the independent unknown. Therefore, the dimension of A is (|γ1 | + |γ 2 |) × (N 0 + N 1 ), where N 0 + N 1 is the dimension of c whichever is the independent unknown).…”

mentioning

confidence: 99%

High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains

et al. 2018

View full text Add to dashboard Cite

In this work, we discuss and compare three methods for the numerical approximation of constant-and variable-coefficient diffusion equations in both single and composite domains with possible discontinuity in the solution/flux at interfaces, considering (i) the Cut Finite Element Method; (ii) the Difference Potentials Method; and (iii) the summationby-parts Finite Difference Method. First we give a brief introduction for each of the three methods. Next, we propose benchmark problems, and consider numerical tests-with respect to accuracy and convergence-for linear parabolic problems on a single domain, and continue with similar tests for linear parabolic problems on a composite domain (with the interface defined either explicitly or implicitly). Lastly, a comparative discussion of the methods and numerical results will be given.

show abstract

“…Reference [19] proposes a reverse time migration method based on the cloud computing to improve the computational efficiency of the algorithm. Reference [20] improves the efficiency of the algorithm from the view of coding and low-order efficiency. The previous work has laid a solid foundation for the subsequent research.…”

Section: Introductionmentioning

confidence: 99%

Multi-scale high order finite different reverse time migration imaging

Zhang

Zhu

Guo

2018

J Image Video Proc.

View full text Add to dashboard Cite

At present, the main difficulties in oil and gas exploration are focused on the exploration of the deep region. How to improve the efficiency of imaging on the same accuracy of migration is an urgent problem. The paper puts forward the concept of multi-scale grid for the underground medium based on finite difference time domain (FDTD) of reverse time migration (RTM), which can avoid the oversampling to high speed and hold the sampling density to low-speed layer. The method can shorten the time of RTM with the same accuracy of the traditional RTM imaging. Firstly, devise the multi-scale grid model according to the velocity model; it uses the small-scale grid for the low-speed area and large-scale grid for high-speed area; secondly, calculate the value of each point of the wave field on multi-scale model, especially the points of transition zone; finally, image the underground media according to the RTM imaging condition. The experimental results show that under the condition of the same simulation order, the multi-scale RTM imaging computational efficiency can be promoted by 25.05% average within this paper.

show abstract

A fourth order accuracy summation-by-parts finite difference scheme for acoustic reverse time migration in boundary-conforming grids

Cited by 6 publications

References 37 publications

Analysis of the stability and dispersion for a Riemannian acoustic wave equation

Analysis of the stability and dispersion for a Riemannian acoustic wave equation

High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains

Multi-scale high order finite different reverse time migration imaging

Contact Info

Product

Resources

About