1887
ASEG2012 - 22nd Geophysical Conference
  • ISSN: 2202-0586
  • E-ISSN:

Abstract

Summary

The amplitude of a seismic refraction event is determined by the properties of rocks through which the seismic waves travel, the amplitude of the shot and the offset at which the refraction is recorded. A surface-consistent, non-linear inversion scheme, which uses the Levenberg- Marquardt algorithm, has been developed which aims to extract near-surface rock properties from the measured refraction amplitudes.

Perhaps the most important challenge to extracting a unique, geologically plausible solution is in determining initial values of control parameters which dictate how the solution is allowed to progress. If these control parameters are not tailored specifically to the problem in question, convergence to a solution can be very slow and even fail to get off the ground in some cases.

Comparison between results obtained using default control parameters, compared to those obtained using control parameters specifically tailored to the problem, shows a reduction in the error between the true observations and the model-generated observations, while retaining fidelity in the solution. A reformulation of the problem significantly reduces the error but fidelity is apparently compromised. Comments are made on how to achieve an optimal middle ground.

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/content/journals/10.1071/ASEG2012ab226
2012-12-01
2026-01-17
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References

  1. Broyden, C.G., 1965, A class of methods for solving nonlinear simultaneous equations, Mathematics of Computation, 19, pp577-593.
  2. Červený, V., Ravindra, R., 1971, Theory of seismic head waves, Toronto, University of Toronto Press.
  3. Doherty, J., 2004, PEST – Model-Independent Parameter Estimation User Manual: 5th edition, Watermark Numerical Computing.
  4. Doherty, J., 2010, Addendum to the PEST Manual, Watermark Numerical Computing.
  5. Levenberg, K., 1944, A method for the solution of certain nonlinear problems in least squares, Quarterly of Applied Mathematics, 2, pp164-168.
  6. Marquardt, D.W., 1963, An algorithm for least squares estimation on non-linear parameters, Journal of the Society of Industrial and Applied Mathematics, 11, pp431-441.
  7. Meulenbroek, A., 2010, Least-squares inversion of refraction amplitudes for near-surface velocity control, Extended Abstracts, ASEG 21st International Conference and Exhibition, Sydney.
  8. Palmer, D., 2001a, Imaging refractors with the convolution section, Geophysics, 66, 5, 1582-1589.
  9. Palmer, D., 2001b, Resolving refractor ambiguities with amplitudes, Geophysics, 66, 5, 1590-1593.
/content/journals/10.1071/ASEG2012ab226
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  • Article Type: Research Article
Keyword(s): amplitude.; Inversion; least-squares; seismic refraction
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