Time-space domain dispersion-relation-based finite-difference method with arbitrary even-order accuracy for the 2D acoustic wave equation

  • Authors:

  • Yang Liu;Mrinal K. Sen

  • Affiliations:

  • State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, PR China and CNPC Key Laboratory of Geophysical Prospecting, China University of Petrole ...;The Institute for Geophysics, John A. and Katherine G. Jackson School of Geosciences, The University of Texas at Austin, 10100 Burnet Road, R2200 Austin, TX 78758, USA and CSIR-National Geophysica ...

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2013

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Abstract

High-order finite-difference (FD) methods have been widely used for numerical solution of acoustic wave equations. It has been reported that the modeling accuracy is of 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 can improve the accuracy from 2nd-order to (2M)th-order along eight directions for the 2D acoustic wave equation. To increase the accuracy further, we propose a new FD stencil for 2D acoustic wave equation modeling. This new time-space domain dispersion-relation-based FD stencil can reach the same arbitrary even-order accuracy 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.