New numerical schemes for time-domain seismic wave modeling in viscoelastic media

Bing Zhou, Moosoo Won, Chao Jin

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


To avoid extensive computation of convolution, common time-domain viscoelastic wave modelling often applies either fractional derivatives or solve many auxiliary partial differential equations of memory variables. Basing on the general Zener model, we found that the memory variables or the convolutions can be directly calculated in a semi-analytic manner, which results in recursive formulas for efficient computations of the convolutions. The formulas show that the computations only require the two wavefields at the time interval, and the accuracies only depend on the time step, and the wavefields at the time interval, nothing related to the time-stepping schemes to solve the partial differential equations of the memory variables. Applying the semi-analytic formulas, new sets of the 1st- and 2nd-order viscoelastic wave equations are established and shown the similar forms to the elastic cases except for the extra 'body-source' terms.

Original languageBritish English
Pages (from-to)2384-2388
Number of pages5
JournalSEG Technical Program Expanded Abstracts
StatePublished - 15 Aug 2022
Event2nd International Meeting for Applied Geoscience and Energy, IMAGE 2022 - Houston, United States
Duration: 28 Aug 20221 Sep 2022


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