1887
Volume 13, Issue 2
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

Abstract

Through the use of a numerical technique based on the finite difference method, synthetic seismograms for shallow seismic refraction models are calculated from the two-dimensional wave equation for inhomogeneous media. From the comparison of the travel times of the first events on the synthetic seismograms and the travel times calculated by ray path methods, it is concluded that the events predicted by ray theory occur, even though they are measured within the region a few wavelengths from the source where ray theory is not strictly applicable.

Loading

Article metrics loading...

/content/journals/10.1071/EG982026
1982-06-01
2026-01-20
Loading full text...

Full text loading...

References

  1. Aboudi, J. (1971), ‘Numerical simulation of seismic sources’ Geophysics 36, 810-821.
  2. Alford, R. M., Kelly, K. R., & Boore, D. M. (1974), ‘Accuracy of finite difference modelling of the acoustic wave equation’, Geophysics 39, 834-842.
  3. Alterman, Z., & Karal, F. C, Jr. (1968), ‘Propagation of elastic waves in layered media by finite difference methods’. Bull. Seism. Soc. Am. 58, 367-398.
  4. Alterman, Z., & Loewenthal, D. (1970), ‘Seismic waves in a quarter and three-quarter plane’, Geophysics. J. Roy. Astr. Soc. 20, 101-126.
  5. Boore, D. M. (1970), ‘Love waves in nonuniform wave guides: finite difference calculations’. Journal of Geophysical Research 75, 1512-1527.
  6. Boore, D. M. (1972), ‘Finite difference methods for seismic wave propagation in heterogeneous media’, in B. Alder, S. Fernbach, ana M. Rotenberg (eds). Methods in Computational Physics 2, Academic Press, New York, 1-38.
  7. Bortfield, R. (1962) ‘Exact solution of the reflection and refraction of arbitary spherical compressional waves at liquid — liquid interfaces with equal shear velocities and equal densities’, Geophysical Prospecting10, 35-67.
  8. Datta, S. & Bhowmick, A.N. (1969), Head waves in two-dimensional seismic models. Geophysical Prospecting 17, 419-432.
  9. De Bremaecker, J. Cl., Godson, R. H., & Watkins, J. S. (1966), ‘Attenuation measurements in the field’. Geophysics 31,562-569.
  10. Dobrin, M. B. (1976), Introduction to Geophysical Prospecting, McGraw-Hill Book Co.
  11. Donato, R. J. (1964), ‘Amplitude of P-head waves’, J. Acoust. Soc. Am. 36, 19-25.
  12. Grant, F. S. & West, G. F. (1965), Interpretation Theory in AppliedGeophysics, McGraw-Hill Book Co.
  13. Heelan, P. A. (1953), ‘On the theory of head waves’, Geophysics 18,871-893.
  14. Karal, F. C. & Keller, J. B. (1959), ‘Elastic wave propagation in homogeneous and inhomogeneous media’, J. Acoust. Soc. Am. 31,694-705.
  15. Kelly, K. R., Ward, R. F., Treitel, S. & Alford, R. M. (1976), ‘Synthetic seismograms: a finite difference approach’. Geophysics 41, 2-27.
  16. Laster, S. J., Backus, M. M. & Schell, R. (1967), ‘Analog model studies of the simple refraction problem’, in A. W. Musgrave (ed.), Seismic Refraction Prospecting, SEG, Tulsa, 15-66.
  17. Levin, F. K. & Ingram, J. D. (1962), ‘Head waves from a bed of finite thickness’, Geophysics 27, 753-765.
  18. Musgrave, A. W., Ed. (1967), Seismic Refraction Prospecting, SEG, Tulsa.
  19. Nanda Kumar, G. & Vijaya Raghava, M. S. (1981), ‘On the significance of amplitude studies in shallow refraction seismics’, Geophysical Prospecting 29, 350-362.
  20. Palmer, D. (1980), The Generalized Reciprocal Method of Seismic Refraction Interpretation, SEG, Tulsa.
  21. Whiteley, R. J., Palmer, D., Greenhalgh, S. A., King, D. W. & Emerson, D. W. (1981), ‘Determination of velocity — depth distributions by inversion of refraction time — distance data: discussion’, Bull. Aust. Soc. Explor. Geophys. 12, 52-54.
/content/journals/10.1071/EG982026
Loading
  • Article Type: Research Article
Keyword(s): modelling; numerical; ray approximation; refraction; seismic; two dimensional; wave equation

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error