Numerical study of Love wave propagation

Kelly, Kenneth R.

doi:10.1190/1.1441515

Cited by 23 publications

(14 citation statements)

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“…Rayleigh waves are not explicitly considered as they d o not satisfy the excitation-time imaging condition; they may be implicitly included (as described above) if they are not so large that they destabilize the solution. [In contrast, Sun & McMechan (1991) demonstrated that SH velocities are imagable using Love wave data because they may be thought of as multiples in a surface waveguide (Kelly 1983) and so explicitly satisfy the same imaging condition as primary SH reflections.] We defer application to field data until the full 3-D algorithms are developed; this is now in progress [cf.…”

Section: Discussion a N D Synopsismentioning

confidence: 99%

2-D full-wavefield inversion for wide-aperture, elastic, seismic data

Sun

McMechan

1992

Geophysical Journal International

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S U M M A R YFull-wavefield inversion of two-component (elastic), wide-aperture, seismic data from surface sources and receivers simultaneously provides 2-D estimates of both P and SV velocity distributions. T h e algorithm operates on common-source gathers; it involves cross-correlation of propagating source and residual wavefields to define the steepest descent direction used to update t h e velocities at each point in a 2-D finite-difference grid. The solution is stable even in t h e presence of random noise and when the input traces are unequally spaced. Examples include a stack of flat layers and a folded and faulted structure.

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Section: Discussion a N D Synopsismentioning

confidence: 99%

2-D full-wavefield inversion for wide-aperture, elastic, seismic data

Sun

McMechan

1992

Geophysical Journal International

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“…Although early results on elastic wavefield modeling have been obtained long ago [42][43][44] however, they were rather qualitative because of a large step of the space mesh h = 1/5k Ä 1/2k. Considerably increased computer performance and also development of multiprocessor computer systems have made it possible to increase the calculation accuracy [45][46][47].…”

Section: Solid Layer Over Solid Half Spacementioning

confidence: 99%

High-performance modeling acoustic and elastic waves using the parallel Dichotomy Algorithm

Fatyanov

Terekhov

2011

Journal of Computational Physics

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a b s t r a c tA high-performance parallel algorithm is proposed for modeling the propagation of acoustic and elastic waves in inhomogeneous media. An initial boundary-value problem is replaced by a series of boundary-value problems for a constant elliptic operator and different right-hand sides via the integral Laguerre transform. It is proposed to solve difference equations by the conjugate gradient method for acoustic equations and by the GMRES(k) method for modeling elastic waves. A preconditioning operator was the Laplace operator that is inverted using the variable separation method. The novelty of the proposed algorithm is using the Dichotomy Algorithm [26], which was designed for solving a series of tridiagonal systems of linear equations, in the context of the preconditioning operator inversion. Via considering analytical solutions, it is shown that modeling wave processes for long instants of time requires high-resolution meshes. The proposed parallel fine-mesh algorithm enabled to solve real application seismic problems in acceptable time and with high accuracy. By solving model problems, it is demonstrated that the considered parallel algorithm possesses high performance and efficiency over a wide range of the number of processors (from 2 to 8192).

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“…It remains only to check that each eigenvalue is simple and to compute the corresponding eigenfunction. For this it suffices to remark that, when (K~, 42) is a solution of (20), then the set of solutions of the homogeneous system (17) in (A~, A2) is a one dimensional space. A particular solution is given by:…”

Section: Tpiq(k)=as(k)cos(k~(kh)qh)e-~itk'h)l O=nmentioning

confidence: 99%

“…The analysis of the approximation of these waves is of course of great importance since their presence affects the geophysical measures which are made at the surface. In a recent paper [17], Kelly presented numerical computations in which he looked at the approximation of these waves. Our goal in this paper is to deal with theoretical analysis of this problem.…”

Section: Introductionmentioning

confidence: 99%