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Advances in Information Technology and Education pp 311–314Cite as

A New Algorithm for the Calculation of Spatial Derivatives in Computer Simulation of Seismic Waves

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 201))

Abstract

In numerical simulation of seismic waves, the accuracy and efficiency depend on the method used for calculating the spatial derivatives in the wave equation and on the method for the time integration. Errors in the numerical calculation are mainly from the approximation of spatial derivatives. This study presented a new algorithm for the calculation of spatial derivatives. It enables us to extend simulations to shorter wavelengths. An example of reverse-time migration of a synthetic data set showed that the numerical dispersion could be significantly reduced with respect to schemes that are based on finite differences.

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References

  1. Dablain, M.A.: The Application of High-order Differencing to the Scalar Wave Equation. Geophysics 51, 54–56 (1986)

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  2. Stoffa, P.L., Pestana, R.C.: Numerical Solution of the Acoustic Equation by the Rapid Expansion Method-A One Step Approach. In: 79th Annual International Meeting, pp. 2672–2675. SEG Press, Houston (2009)

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  3. Zhou, H., Liao, Q., Ortigosa, F.: Construction and Analysis of an Optimized Compact Finite Difference Scheme for RTM. In: 70th Annual International Meeting of EAGE (2009)

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Author information

Authors and Affiliations

  1. School of Physics and Information Science, Tianshui Normal University, China

    Baotong Liu

Authors
  1. Baotong Liu
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Editor information

Editors and Affiliations

  1. Wuhan Institute of Technology, Xiongchu Road 693, China

    Honghua Tan

  2. Education Society, FLAT F, 15th Floor, Block 3, The Sherwood No.8 Fuk Hang, Tsuen Road, Tuen Mun,, Hong Kong

    Mark Zhou

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© 2011 Springer-Verlag Berlin Heidelberg

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Cite this paper

Liu, B. (2011). A New Algorithm for the Calculation of Spatial Derivatives in Computer Simulation of Seismic Waves. In: Tan, H., Zhou, M. (eds) Advances in Information Technology and Education. Communications in Computer and Information Science, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22418-8_43

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  • DOI: https://doi.org/10.1007/978-3-642-22418-8_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22417-1

  • Online ISBN: 978-3-642-22418-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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