A NEW APPROACH TO THE INVERSION OF SEISMIC DATA*

References

1. Claerbout, J.F.1968. Synthesis of a layered medium from its acoustic transmission response, Geophysics33, 264–269.
   [Google Scholar]
2. Cohen, J.K. and Bleistein, N.1979. Velocity inversion procedure for acoustic waves, Geophysics44, 1077–1087.
   [Google Scholar]
3. Gjevik, B., Nilsen, A. and Hoyen, J.1976. An attempt at the inversion of reflection data, Geophysical Prospecting24, 492–505.
   [Google Scholar]
4. Goupillaud, P.L.1961. An approach to inverse filtering of near‐surface layer effects from seismic records, Geophysics26, 754–760.
   [Google Scholar]
5. Nilsen, A. and Gjevik, B.1978. Inversion of Reflection Data, Geophysical Prospecting26, 421–432.
   [Google Scholar]
6. Phillips, R.J.1972. The lunar conductivity profile and the non‐uniqueness of electromagnetic data inversion, Icarus17, 88.
   [Google Scholar]
7. Raz, S.1981. Direct reconstruction of velocity and density profiles from scattered field data, Geophysics46, 832–836.
   [Google Scholar]
8. Rice, R.B., Allen, S.J., Gant, O.J., Jr., Hodgson, R.N., Larson, D. E., Lindsey, J.P., Patch, J.R., La Fehr, T.R., Pickett, G.R., Schneider, W.A., White, J.E. and Roberts, J.C.1981. Developments in exploration geophysics, 1975–1980, Geophysics46, 1088–1099.
   [Google Scholar]
9. Sabatier, P.C.1974. Remarks on approximate methods in geophysical inverse problems: Proceedings of the Royal Society of London, 337, 49–71.
   [Google Scholar]
10. Sabatier, P.C.1977. On geophysical inverse problems and constraints, Journal of Geophysics43, 115–137.
    [Google Scholar]
11. Selgin, P.J.1946. Electrical Transmission in Steady States, McGraw‐Hill Book Co. Inc., New York .
    [Google Scholar]
12. M.K.Polshkov
    Sokhranov, N.N., Churinora, I.M. and Shkural, R.M.1968. Exploration Geophysics48, Ed. M.K.Polshkov , Translated by Consultant Bureau, New York .
    [Google Scholar]
13. Sutton, G.R.1979. Applicability of new inverse method to seismic and acoustic applications, Foundation for Australian Resources Internal Report, School of Mathematical Sciences, NSW Institute of Technology, Sydney , Australia .
    [Google Scholar]
14. Thornton, B.S.1972. Reduction and linearisation of quadratic constrained minimisation in linked systems, Computer Journal15, 84.
    [Google Scholar]
15. Thornton, B.S.1974. Application of linear programming techniques to the design of radar absorbers, U.S. Air Force Avionics Laboratory report TR 74–181, Wright‐Patterson AFB, Ohio .
    [Google Scholar]
16. Thornton, B.S.1979. Inversion of the geophysical inverse problem for n layers with non‐uniqueness reduced to n cases, Geophysics44, 801–819.
    [Google Scholar]
17. Thornton, B.S.1980. Sensitivity and uniqueness of solution of inverse method in resolving vertical and lateral changes in a layered earth, Foundation for Australian Resources Reports on ALCOA Project, School of Mathematical Sciences, NSW Institute of Technology, Sydney , Australia .
    [Google Scholar]
18. Ware, J.A. and Aki, K.1969. Continuous and discrete inverse scattering problems in a stratified elastic medium I, Plane waves at normal incidence, Journal of the Acoustic Society of America45, 911–921.
    [Google Scholar]