3D elastic wave modeling using modified high-order time stepping schemes with improved stability conditions

Chunlei Chu; Paul L. Stoffa; Roustam Seif

doi:10.1190/1.3255400

3D elastic wave modeling using modified high-order time stepping schemes with improved stability conditions

Chunlei Chu, Paul L. Stoffa, Roustam Seif

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

We present two Lax-Wendroff type high-order time stepping schemes and apply them to solving the 3D elastic wave equation. The proposed schemes have the same format as the Taylor series expansion based schemes, only with modified temporal extrapolation coefficients. We demonstrate by both theoretical analysis and numerical examples that the modified schemes significantly improve the stability conditions.

Original language	English (US)
Title of host publication	SEG Technical Program Expanded Abstracts 2009
Publisher	Society of Exploration Geophysicists
DOIs	https://doi.org/10.1190/1.3255400
State	Published - Mar 22 2012
Externally published	Yes

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10.1190/1.3255400

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title = "3D elastic wave modeling using modified high-order time stepping schemes with improved stability conditions",

abstract = "We present two Lax-Wendroff type high-order time stepping schemes and apply them to solving the 3D elastic wave equation. The proposed schemes have the same format as the Taylor series expansion based schemes, only with modified temporal extrapolation coefficients. We demonstrate by both theoretical analysis and numerical examples that the modified schemes significantly improve the stability conditions.",

author = "Chunlei Chu and Stoffa, {Paul L.} and Roustam Seif",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was made possible in part with funding fromConocoPhillips and the King Abdullah University ofScience and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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AU - Chu, Chunlei

AU - Stoffa, Paul L.

AU - Seif, Roustam

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was made possible in part with funding fromConocoPhillips and the King Abdullah University ofScience and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2012/3/22

Y1 - 2012/3/22

N2 - We present two Lax-Wendroff type high-order time stepping schemes and apply them to solving the 3D elastic wave equation. The proposed schemes have the same format as the Taylor series expansion based schemes, only with modified temporal extrapolation coefficients. We demonstrate by both theoretical analysis and numerical examples that the modified schemes significantly improve the stability conditions.

AB - We present two Lax-Wendroff type high-order time stepping schemes and apply them to solving the 3D elastic wave equation. The proposed schemes have the same format as the Taylor series expansion based schemes, only with modified temporal extrapolation coefficients. We demonstrate by both theoretical analysis and numerical examples that the modified schemes significantly improve the stability conditions.

UR - http://hdl.handle.net/10754/597213

UR - http://library.seg.org/doi/abs/10.1190/1.3255400

U2 - 10.1190/1.3255400

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M3 - Conference contribution

BT - SEG Technical Program Expanded Abstracts 2009

PB - Society of Exploration Geophysicists

ER -

3D elastic wave modeling using modified high-order time stepping schemes with improved stability conditions

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