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A meshless method for acoustic and elastic modeling

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Abstract

Wave equation method is one of the fundamental techniques for seismic modeling and imaging. In this paper the element-free-method (EFM) was used to solve acoustic and elastic equations. The key point of this method is no need of elements, which makes nodes free from the elemental restraint. Besides, the moving-least-squares (MLS) criterion in EFM leads to a high accuracy and smooth derivatives. The theories of EFM for both acoustic and elastic wave equations as well as absorbing boundary conditions were discussed respectively. Furthermore, some pre-stack models were used to show the good performance of EFM in seismic modeling.

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Authors and Affiliations

  1. School of Earth and Space Sciences, Peking University, 100871, Beijing, China

    Jia Xiaofeng & Hu Tianyue

  2. School of Resources and Information Technology, University of Petroleum, 102249, Beijing, China

    Wang Runqiu

Authors
  1. Jia Xiaofeng
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  2. Hu Tianyue
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  3. Wang Runqiu
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Additional information

This research is sponsored by National Natural Science Foundation of China (40274041) and Ministry of Science of China “973” Programme(2001CCA02300).

Authors:

Jia Xiaofeng, PhD student at Peking University, received his BS in geophysics from Peking University in 2000. His research work is mainly about seismic modeling and imaging by wave equation numerical method, such as finite difference method, finite element method and element free method.

Hu Tianyue, see biography in APPLIED GEOPHYSICS, Vol. 1, No. 1, p. 19 (July, 2004).

Wang Runqiu, see biography and photo in APPLIED GEOPHYSICS, Vol. 1, No.2, p.69,74 (October, 2004)

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Jia, X., Hu, T. & Wang, R. A meshless method for acoustic and elastic modeling. Appl. Geophys. 2, 1–6 (2005). https://doi.org/10.1007/s11770-005-0001-0

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  • DOI: https://doi.org/10.1007/s11770-005-0001-0

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