Absorbing Boundary Conditions for 3D Elastic TTI Modeling, Application to Time-Based and Time-Harmonic Simulations

Boillot, Lionel; Barucq, Hélène; Diaz, Julien; Calandra, Henri

doi:10.3997/2214-4609.201600247

Cited by 1 publication

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“…Therefore, many types of ABCs have been designed for the acoustic waves in the case of heterogeneous media [29,33] and multiple scattering [34][35][36]. Then, for the Maxwell equations, non-reflecting boundary conditions are proposed in [37][38][39], and for the elastic waves see [40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media

Graff

Cullen

2023

Inverse Problems

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We propose to explore the Time-Reversed Absorbing Condition (TRAC) method in the case of dissipative homogeneous media. In previous work, the TRAC method was derived from the time-reversibility of the (undamped) wave equation and proved to be efficient in both the time domain and the frequency domain. Namely, two main utilisations of the TRAC method have been probed: (a) redatuming, i.e., moving virtually the measurements by reconstructing the wavefield and (b) tracking down the location of a possible inclusion inside the domain.In this paper, we focus on the redatuming application and investigate the feasibility of the TRAC method in the case of dissipation. In particular, we will see that performing the classical TRAC method, i.e., ignoring the dissipation, may give satisfactory results, even for larger values of dissipation.An analysis is provided in the frequency-domain and one-space dimension and shows satisfactory updated versions of the TRAC method. Moreover, a systematic error study in two-space dimension is illustrated via numerical examples.

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