Explicit coupling of acoustic and elastic wave propagation in finite-difference simulations
Type
ArticleAuthors
Gao, Longfei
Keyes, David E.

KAUST Department
Extreme Computing Research CenterComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
Office of the President
Date
2020-09-30Online Publication Date
2020-09-30Print Publication Date
2020-09-01Submitted Date
2019-08-22Permanent link to this record
http://hdl.handle.net/10754/665970
Metadata
Show full item recordAbstract
We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic-wave systems that are separated by straight interfaces. Such coupled simulations allow for the application of the elastic model to geological regions that are of special interest for seismic exploration studies (e.g., the areas surrounding salt bodies), with the computationally more tractable acoustic model still being applied in the background regions. Specifically, the acoustic wave system is expressed in terms of velocity and pressure while the elastic wave system is expressed in terms of velocity and stress. Both systems are posed in first-order forms and are discretized on staggered grids. Special variants of the standard finite-difference operators, namely, operators that possess the summation-by-parts property, are used for the approximation of spatial derivatives. Penalty terms, which are also referred to as the simultaneous approximation terms, are designed to weakly impose the elastic-acoustic interface conditions in the finite-difference discretizations and couple the elastic and acoustic wave simulations together. With the presented mechanism, we are able to perform the coupled elastic-acoustic wave simulations stably and accurately. Moreover, it is shown that the energy-conserving property in the continuous systems can be preserved in the discretized systems with carefully designed penalty terms.Citation
Gao, L., & Keyes, D. (2020). Explicit coupling of acoustic and elastic wave propagation in finite-difference simulations. GEOPHYSICS, 85(5), T293–T308. doi:10.1190/geo2019-0566.1Publisher
Society of Exploration GeophysicistsJournal
GeophysicsarXiv
2006.10886Additional Links
http://mr.crossref.org/iPage?doi=10.1190%2Fgeo2019-0566.1ae974a485f413a2113503eed53cd6c53
10.1190/geo2019-0566.1