1989
DOI: 10.1190/1.1442749
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Absorbing boundary condition for the elastic wave equation: Velocity‐stress formulation

Abstract: This paper describes an absorbing boundary condition for finite‐difference modeling of elastic wave propagation in two and three dimensions. The boundary condition is particularly effective for obliquely incident waves, typically quite troublesome for absorbing boundaries. Analytical predictions of the boundary reflection coefficients of a few percent or less for angles of incidence up to 89° are verified in example finite‐difference applications. The algorithm is appropriate for use in a velocity‐stress finit… Show more

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Cited by 54 publications
(28 citation statements)
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“…One possible way to do this is to reformulate the problem in terms of potentials, keeping the solenoidal and irrotational components separate [9,16]. As the potentials satisfy the same radiation conditions as their derivatives, classical numerical techniques for implementing Sommerfeld boundary conditions can be applied to the separate (but coupled) potential problems.…”
Section: Introductionmentioning
confidence: 99%
“…One possible way to do this is to reformulate the problem in terms of potentials, keeping the solenoidal and irrotational components separate [9,16]. As the potentials satisfy the same radiation conditions as their derivatives, classical numerical techniques for implementing Sommerfeld boundary conditions can be applied to the separate (but coupled) potential problems.…”
Section: Introductionmentioning
confidence: 99%
“…0으로 만들어주는 무응력 방법(zero-stress formulation) (Levander, 1988)과 자유 표면 위의 영역에 대하여 종파와 횡파 및 밀도 를 0으로 제어하는 진공 방법(vacuum formulation) (Zahradnik et al, 1993;Randall, 1989;Pitarka and Irikura, 1996) …”
Section: 자유 표면에서의 경계조건은 자유 표면에서의 응력을 직접unclassified
“…It requires solving the inhomogeneous wave equation on the artificial boundary a number of times. Randall [14,15] extended it to the elastic wave equation by applying the absorbing boundary condition of Lindman to a decomposition of the displacement into potentials which satisfy acoustic wave equations; this procedure requires at each time step a Fourier transform in the tangential space variables.…”
Section: Introductionmentioning
confidence: 99%