Three-dimensional transient elastodynamic inversion using the modified error in constitutive relation


Conference Paper

© Published under licence by IOP Publishing Ltd. This work is concerned with large-scale three-dimensional inversion under transient elastodynamic conditions by means of the modified error in constitutive relation (MECR), an energy-based cost functional. A peculiarity of time-domain MECR formulations is that each evaluation involves the computation of two elastodynamic states (one forward, one backward) which moreover are coupled. This coupling creates a major computational bottleneck, making MECR-based inversion difficult for spatially 2D or 3D configurations. To overcome this obstacle, we propose an approach whose main ingredients are (a) setting the entire computational procedure in a consistent time-discrete framework that incorporates the chosen time-stepping algorithm, and (b) using an iterative SOR-like method for the resulting stationarity equations. The resulting MECR-based inversion algorithm is demonstrated on a 3D transient elastodynamic example involving over 500,000 unknown elastic moduli.

Full Text

Duke Authors

Cited Authors

  • Bonnet, M; Aquino, W

Published Date

  • January 1, 2014

Published In

Volume / Issue

  • 542 / 1

Electronic International Standard Serial Number (EISSN)

  • 1742-6596

International Standard Serial Number (ISSN)

  • 1742-6588

Digital Object Identifier (DOI)

  • 10.1088/1742-6596/542/1/012003

Citation Source

  • Scopus