<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We propose a new numerical approach for the solution of the 2D acoustic wave equation to model the predicted data in the field of active-source seismic inverse problems. This method consists in using an explicit finite difference technique with an adaptive order of approximation of the spatial derivatives that takes into account the local velocity at the grid nodes. Testing our method to simulate the recorded seismograms in a marine seismic acquisition, we found that the low computational time and the low approximation error of the proposed approach make it suitable in the context of seismic inversion problems. </p></abstract>

We propose a new numerical approach for the solution of the 2D acoustic wave equation to model the predicted data in the field of active-source seismic inverse problems. This method consists in using an explicit finite difference technique with an adaptive order of approximation of the spatial derivatives that takes into account the local velocity at the grid nodes. Testing our method to simulate the recorded seismograms in a marine seismic acquisition, we found that the low computational time and the low approximation error of the proposed approach make it suitable in the context of seismic inversion problems.

A local adaptive method for the numerical approximation in seismic wave modelling

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We propose a new numerical approach for the solution of the 2D acoustic wave equation to model the predicted data in the field of active-source seismic inverse...

A local adaptive method for the numerical approximation in seismic wave modelling

Published Online: Dec 22, 2017

Page range: 265 - 281

Received: Dec 20, 2016

Accepted: Oct 09, 2017

DOI: https://doi.org/10.1515/caim-2017-0014

Keywords
Finite difference, Seismic modelling, Seismic inversion, Optimization, Acoustic wave equation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A local adaptive method for the numerical approximation in seismic wave modelling

Published Online: Dec 22, 2017

Page range: 265 - 281

Received: Dec 20, 2016

Accepted: Oct 09, 2017

DOI: https://doi.org/10.1515/caim-2017-0014

KeywordsFinite difference, Seismic modelling, Seismic inversion, Optimization, Acoustic wave equation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Finite difference, Seismic modelling, Seismic inversion, Optimization, Acoustic wave equation