Simple and accurate operators based on taylor expansion for 2D elastic seismogram calculation under geological discontinuities with regular cartesian grids

N. Fuji; Oleg Ovcharenko; R. Martin; C. Cuvilliez

doi:10.3997/2214-4609.201601665

Simple and accurate operators based on taylor expansion for 2D elastic seismogram calculation under geological discontinuities with regular cartesian grids

N. Fuji, Oleg Ovcharenko, R. Martin, C. Cuvilliez

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

2 Scopus citations

Abstract

We propose a set of local operators to deal with internal discontinuities that do not coincide with collocated Cartesian grids in 2D transversely isotropic media. We use globally optimally accurate operators in order to obtain high accuracy. We derive modified operators by extrapolating wavefields from nearby grid points to the discontinuous point, introducing boundary conditions; we then distribute those conditions to the nearby grid points. Numerical examples suggest that the operators improve the coherency of the wavefront. We would like to optimise the local operators to control all the error propagation during the modelling.

Original language	English (US)
Title of host publication	78th EAGE Conference and Exhibition 2016 - Workshops
Publisher	EAGE Publications BV
ISBN (Print)	9789462821866
DOIs	https://doi.org/10.3997/2214-4609.201601665
State	Published - Mar 13 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We thank GPX consortium, composed of French National Research Agency (ANR) and industrial sponsors, CGG, Schlumberger and Total, who supported O.O. during his master research. C.C. was supported by Laboratoire de Sismologie at Institut de Physique du Globe de Paris.

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10.3997/2214-4609.201601665

Cite this

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title = "Simple and accurate operators based on taylor expansion for 2D elastic seismogram calculation under geological discontinuities with regular cartesian grids",

abstract = "We propose a set of local operators to deal with internal discontinuities that do not coincide with collocated Cartesian grids in 2D transversely isotropic media. We use globally optimally accurate operators in order to obtain high accuracy. We derive modified operators by extrapolating wavefields from nearby grid points to the discontinuous point, introducing boundary conditions; we then distribute those conditions to the nearby grid points. Numerical examples suggest that the operators improve the coherency of the wavefront. We would like to optimise the local operators to control all the error propagation during the modelling.",

author = "N. Fuji and Oleg Ovcharenko and R. Martin and C. Cuvilliez",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We thank GPX consortium, composed of French National Research Agency (ANR) and industrial sponsors, CGG, Schlumberger and Total, who supported O.O. during his master research. C.C. was supported by Laboratoire de Sismologie at Institut de Physique du Globe de Paris.",

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Simple and accurate operators based on taylor expansion for 2D elastic seismogram calculation under geological discontinuities with regular cartesian grids. / Fuji, N.; Ovcharenko, Oleg; Martin, R. et al.
78th EAGE Conference and Exhibition 2016 - Workshops. EAGE Publications BV, 2017.

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

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T1 - Simple and accurate operators based on taylor expansion for 2D elastic seismogram calculation under geological discontinuities with regular cartesian grids

AU - Fuji, N.

AU - Ovcharenko, Oleg

AU - Martin, R.

AU - Cuvilliez, C.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We thank GPX consortium, composed of French National Research Agency (ANR) and industrial sponsors, CGG, Schlumberger and Total, who supported O.O. during his master research. C.C. was supported by Laboratoire de Sismologie at Institut de Physique du Globe de Paris.

PY - 2017/3/13

Y1 - 2017/3/13

N2 - We propose a set of local operators to deal with internal discontinuities that do not coincide with collocated Cartesian grids in 2D transversely isotropic media. We use globally optimally accurate operators in order to obtain high accuracy. We derive modified operators by extrapolating wavefields from nearby grid points to the discontinuous point, introducing boundary conditions; we then distribute those conditions to the nearby grid points. Numerical examples suggest that the operators improve the coherency of the wavefront. We would like to optimise the local operators to control all the error propagation during the modelling.

AB - We propose a set of local operators to deal with internal discontinuities that do not coincide with collocated Cartesian grids in 2D transversely isotropic media. We use globally optimally accurate operators in order to obtain high accuracy. We derive modified operators by extrapolating wavefields from nearby grid points to the discontinuous point, introducing boundary conditions; we then distribute those conditions to the nearby grid points. Numerical examples suggest that the operators improve the coherency of the wavefront. We would like to optimise the local operators to control all the error propagation during the modelling.

UR - http://hdl.handle.net/10754/664675

UR - http://www.earthdoc.org/publication/publicationdetails/?publication=85907

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U2 - 10.3997/2214-4609.201601665

DO - 10.3997/2214-4609.201601665

M3 - Conference contribution

SN - 9789462821866

BT - 78th EAGE Conference and Exhibition 2016 - Workshops

PB - EAGE Publications BV

ER -

Simple and accurate operators based on taylor expansion for 2D elastic seismogram calculation under geological discontinuities with regular cartesian grids

Abstract

Bibliographical note

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