Laplace-domain waveform inversion using the l-BFGS method. Issue 4 (4th July 2019)

• Record Type: Journal Article
• Authors: Lee, Jongwoo; Ha, Wansoo
• Is Part Of: Geosystem engineering. Volume 22:Issue 4(2019)
• Page Start: 214
• Page End: 224
• Publication Date: 2019-07-04
• Subjects: Laplace domain -- full waveform inversion -- l-BFGS method -- preconditioned steepest descent method; Mining engineering -- Periodicals; Petroleum engineering -- Periodicals; Gas engineering -- Periodicals; Geology, Economic -- Periodicals; 620
• DOI: 10.1080/12269328.2018.1543032
• Languages: English
• ISSNs: 1226-9328

Abstract

ABSTRACT: We examine the performance of the limited-memory Broyden–Fletcher–Goldfarb–Shanno (l-BFGS) optimization method for full waveform inversions in the Laplace domain. Full waveform inversion methods generally adopt gradient-based optimization schemes for efficiency. Most Laplace-domain full waveform inversion methods published to date use the preconditioned steepest descent (PSD) method with the diagonal elements of the pseudo-Hessian as the preconditioner. These methods use a small fixed step length for stable convergence. The l-BFGS method is a quasi-Newton optimization method that efficiently approximates the inverse of the Hessian. We compare Laplace-domain inversion results from the PSD method with those from the l-BFGS method. Numerical examples using the SEG/EAGE salt model and the Pluto model demonstrate that the l-BFGS method with the Wolfe line search yields smaller cost function values than the PSD method.