Skip to main content

The Solution of the Seismic One Way Equation on Parallel Computers

  • Conference paper
Book cover Supercomputer Simulations in Chemistry

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 44))

  • 86 Accesses

Abstract

The basic mathematical model for seismic migration calculations is the acoustic one way wave equation. Several different approaches to this partial differential equation are introduced. Special care is given to detecting inherent parallel structures in the numerical solution schemes. It is shown that alternative formulations of the problem may lead to an increase in parallelism allowing for an efficient use of tightly coupled multitasking capabilities of current vector multiprocessors.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 159.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Loewenthal, D., Lu, L., Robertson, R. and Sherwood J., The wave equation applied to migration, Geophys. Prosp. 24, 380–399 (1976).

    Article  Google Scholar 

  2. Yanenko, N.N., The method of fractional steps (Springer Verlag, Berlin, Heidelberg, New York, 1971).

    Book  Google Scholar 

  3. Crank J. and Nicholson P., Proc. Camb. Phil. Soc. 32, (1947).

    Google Scholar 

  4. Url, F., Proceedings of the Cyber 205 user meeting Bochum (1983).

    Google Scholar 

  5. Hockney, R. W. and Jesshope, C. R., Parallel Computers (Adam Hilger Ltd., Bristol 1981).

    Google Scholar 

  6. Stolt, R., Migration by Fourier Transform, Geophysics 43, 23–48 (1978).

    Google Scholar 

  7. Schwarztrauber, P.N., Vectorizing the FFT’s, in: Rodrigne, G. (ed), Parallel Computations (Academic Press 1982).

    Google Scholar 

  8. Temperton, C., Selfsorting mixed radix Fast Fourier Transforms, Techn. Mem. No. 66, European Centre for Medium Range Weather Forecasts (1982).

    Google Scholar 

  9. Hsiung C., Butscher, W., paper presented at the SIAM Conference on Parallel Processing for Scientic Computing, Nov. 10–11, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Butscher, W. (1986). The Solution of the Seismic One Way Equation on Parallel Computers. In: Dupuis, M. (eds) Supercomputer Simulations in Chemistry. Lecture Notes in Chemistry, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51060-1_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-51060-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17178-2

  • Online ISBN: 978-3-642-51060-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics