Submitted as: development and technical paper
31 Mar 2022
Submitted as: development and technical paper | 31 Mar 2022
Status: this preprint is currently under review for the journal GMD.

Effectiveness and computational efficiency of absorbing boundary conditions for full-waveform inversion

Daiane Iglesia Dolci1, Felipe A. G. Silva2, Pedro S. Peixoto2, and Ernani V. Volpe1 Daiane Iglesia Dolci et al.
  • 1Department of Mechanical Engineering, Escola Politécnica, University of São Paulo. Av. Prof. Mello Moraes, 2231, São Paulo, SP, 05508-030, Brazil
  • 2Department of Applied Mathematics, Institute of Mathematics and Statistics, University of São Paulo. Rua do Matão, 1010, São Paulo, SP, 05508-090, Brazil

Abstract. Full-Waveform Inversion (FWI) is a high-resolution numerical technique for seismic waves used to estimate the physical characteristics of a subsurface region. The continuous problem involves solving an inverse problem on an infinite domain, which is impractical from a computational perspective. In limited area models, absorbing boundaries conditions (ABCs) are usually imposed, to avoid wave reflections. Several relevant ABCs have been proposed, with extensive literature on their effectiveness on the direct wave problem. Here, we investigate and compare the theoretical and computational characteristics of several ABCs in the full inverse problem. After a brief review of the most widely used ABCs, we derive their formulations in their respective adjoint problems. The different ABCs are implemented in a highly optimized domain-specific language (DLS) computational framework, Devito, which targets seismic modeling problems. We evaluate the effectiveness, computational efficiency, and memory requirements of the ABC methods, considering from simple models to realistic ones. Our findings reveal that, even though the popular Perfectly Matching Layers (PMLs) are effective in avoiding wave reflections on the boundaries, they can be computationally more demanding than less used Hybrid ABCs. We show here that a proposed Hybrid ABC formulation, with nested Higdon's boundary conditions, is the most cost-effective method among the methods considered here, being as effective, or more, as PML and other schemes, but being computationally more efficient.

Daiane Iglesia Dolci et al.

Status: open (until 26 May 2022)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on gmd-2022-48', Anonymous Referee #1, 10 May 2022 reply
  • RC2: 'Comment on gmd-2022-48', Anonymous Referee #2, 18 May 2022 reply

Daiane Iglesia Dolci et al.

Model code and software

Effectiveness and computational efficiency of absorbing boundary conditions for full-waveform inversion Daiane Iglesia Dolci, Felipe A. G. Silva, Pedro S. Peixoto and Ernani V. Volpe

Daiane Iglesia Dolci et al.


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Short summary
In summary, this manuscript presents investigations of cost-effectiveness of the Absorbing Boundary Conditions (ABCs), focusing on the usual settings adopted in a Full Waveform Inversion (FWI) problem. In this context, investigations of the ABCs' effects on the adjoint wave equations are introduced. This work also contributes by implementing further options of ABCs in Devito, a high-level framework for geoscientific model development.