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3-D acoustic wave equation forward modeling with topography

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Abstract

In order to model the seismic wave field with surface topography, we present a method of transforming curved grids into rectangular grids in two different coordinate systems. Then the 3D wave equation in the transformed coordinate system is derived. The wave field is modeled using the finite-difference method in the transformed coordinate system. The model calculation shows that this method is able to model the seismic wave field with fluctuating surface topography and achieve good results. Finally, the energy curves of the direct and reflected waves are analyzed to show that surface topography has a great influence on the seismic wave’s dynamic properties.

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Authors and Affiliations

  1. School of Geophysics and Information Technology, China University of Geosciences, Beijing, 100083, China

    Wang Xiangchun & Liu Xuewei

Authors
  1. Wang Xiangchun
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  2. Liu Xuewei
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Additional information

This research is sponsored by the Scientific Research Project of the China Geological Survey “Basic Theory, Special Collection and Special Process Method Research on Metal Mineral Seismic Exploration” (Project Number: 2000201 0002146).

Wang Xiangchun is now studying for his PhD in the School of Geophysics and Information Technology, China University of Geosciences (Beijing), His research interest is the modeling and continuation of seismic wavefields with relief topography.

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Wang, X., Liu, X. 3-D acoustic wave equation forward modeling with topography. Appl. Geophys. 4, 8–15 (2007). https://doi.org/10.1007/s11770-007-0002-2

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  • DOI: https://doi.org/10.1007/s11770-007-0002-2

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