Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Eliminating time dispersion from visco-elastic simulations with memory variables

Koene, E. ; Wittsten, J. LU ; Robertsson, J. and Andersson, F. LU (2019) 81st EAGE Conference and Exhibition 2019 2019. p.1-5
Abstract

In recent years, it has been recognized that the seismic wave equation solved with a finite-difference method in time causes a predictable and removable error through the use of so-called time-dispersion transforms. These transforms were thought not to apply to visco-elastic media. However, in this paper we demonstrate that the time-dispersion transforms remain applicable when the visco-elastic wave equation is solved with memory variables, as is commonly done. The crucial insight is that both the wave equation and the memory variables are computed with the same time-dispersion error. We show how the time-dispersion transforms can be implemented in, for example, MATLAB, and demonstrate the developed theory on a visco-elastic version of... (More)

In recent years, it has been recognized that the seismic wave equation solved with a finite-difference method in time causes a predictable and removable error through the use of so-called time-dispersion transforms. These transforms were thought not to apply to visco-elastic media. However, in this paper we demonstrate that the time-dispersion transforms remain applicable when the visco-elastic wave equation is solved with memory variables, as is commonly done. The crucial insight is that both the wave equation and the memory variables are computed with the same time-dispersion error. We show how the time-dispersion transforms can be implemented in, for example, MATLAB, and demonstrate the developed theory on a visco-elastic version of the Marmousi model. Then, the time-dispersion transforms allow computation of the visco-elastic wave equation with large steps in time without significant loss of accuracy, and without having to make any modifications to the model.

(Less)
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
81st EAGE Conference and Exhibition 2019
volume
2019
pages
5 pages
publisher
European Association of Geoscientists and Engineers
conference name
81st EAGE Conference and Exhibition 2019
conference location
London, United Kingdom
conference dates
2019-06-03 - 2019-06-06
external identifiers
  • scopus:85088200523
ISBN
9789462822894
DOI
10.3997/2214-4609.201901532
language
English
LU publication?
yes
id
5d440d1e-36c4-4f0e-9cef-d6e7026c700b
date added to LUP
2020-06-05 13:27:40
date last changed
2022-05-04 18:09:18
@inproceedings{5d440d1e-36c4-4f0e-9cef-d6e7026c700b,
  abstract     = {{<p>In recent years, it has been recognized that the seismic wave equation solved with a finite-difference method in time causes a predictable and removable error through the use of so-called time-dispersion transforms. These transforms were thought not to apply to visco-elastic media. However, in this paper we demonstrate that the time-dispersion transforms remain applicable when the visco-elastic wave equation is solved with memory variables, as is commonly done. The crucial insight is that both the wave equation and the memory variables are computed with the same time-dispersion error. We show how the time-dispersion transforms can be implemented in, for example, MATLAB, and demonstrate the developed theory on a visco-elastic version of the Marmousi model. Then, the time-dispersion transforms allow computation of the visco-elastic wave equation with large steps in time without significant loss of accuracy, and without having to make any modifications to the model.</p>}},
  author       = {{Koene, E. and Wittsten, J. and Robertsson, J. and Andersson, F.}},
  booktitle    = {{81st EAGE Conference and Exhibition 2019}},
  isbn         = {{9789462822894}},
  language     = {{eng}},
  month        = {{06}},
  pages        = {{1--5}},
  publisher    = {{European Association of Geoscientists and Engineers}},
  title        = {{Eliminating time dispersion from visco-elastic simulations with memory variables}},
  url          = {{http://dx.doi.org/10.3997/2214-4609.201901532}},
  doi          = {{10.3997/2214-4609.201901532}},
  volume       = {{2019}},
  year         = {{2019}},
}