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8th Biennial International Conference & Explosition on Petrolelum Geophysics

3D acoustic wave modeling with a time-space domain dispersion-relation-based Finite-difference scheme

Published in GEOHORIZONS - 2010

Yang Liu1 * and Mrinal K. Sen2 1 State Key Laboratory of Petroleum Resource and Prospecting (China University of Petroleum, Beijing), China 2 The Institute for Geophysics, John A. and Katherine G. Jac

Abstract


Spatial finite-difference (FD) stencils designed in the space domain are usually employed in wave equation modeling. In this paper, we adopt a spatial FD stencil which is devised in the time-space domain based on a dispersion relation to improve the accuracy of FD modeling for 3D acoustic wave equation. In addition, we employ a new hybrid absorbing boundary condition (ABC) to eliminate edge reflection due to finite computational domain. Dispersion analysis and modeling results demonstrate that the time-space domain dispersion-relation-based spatial FD stencils can indeed improve the modeling accuracy. The modeling accuracy can be improved further by using a truncated FD method. The new hybrid ABC can effectively absorb boundaries reflections. The modeling scheme presented in this paper is more accurate and efficient than the conventional one and can be used routinely.

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