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Time-space Domain Finite-difference Method with Arbitrary Even-order Accuracy for the 2D Acoustic Wave EquationNormal access

Authors: Y. Liu and M. Sen
Event name: 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011
Session: Seismic Modelling I
Publication date: 23 May 2011
DOI: 10.3997/2214-4609.20149397
Organisations: SPE, EAGE
Language: English
Info: Extended abstract, PDF ( 341.41Kb )
Price: € 20

High-order finite-difference (FD) methods have been widely used in numerically solving seismic wave equations. It has been reported that the modeling accuracy is 2nd-order when the conventional (2M)th-order space domain FD and the 2nd-order time domain FD stencils are directly used to solve the acoustic wave equation. Under the same discretization, the present version of time-space domain dispersion-relation-based FD method for the 2D acoustic wave equation can improve the accuracy from second-order to (2M)th-order accuracy along eight directions. To increase the accuracy further, we propose a new FD stencil for the 2D acoustic wave equation modeling. This new time-space domain dispersion-relation-based FD stencil can reach the same arbitrary even-order along all directions, and is more accurate and more stable than the conventional one for the same M. Dispersion analysis and modeling examples demonstrate its advantages.

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