The inverse problem of refraction travel times, part II: Quantifying refraction nonuniqueness using a three-layer model

Pure and Applied Geophysics

Volumn 162, Issue 3, 2005, Pages 461-477

  Ivanov, Julian ^a   Miller, Richard D ^a   Xia, Jianghai ^a   Steeples, Don ^b  

^a UNIVERSITY OF KANSAS   (United States)

^b UNIVERSITY OF KANSAS   (United States)

Author keywords

Ill posed; Inversion; Nonlinear; Nonuniqueness; Refraction; Refraction tomography

Indexed keywords

DATA INVERSION; DATA PROCESSING; LAYERED MEDIUM; SEISMIC DATA; SEISMIC REFRACTION; SEISMIC TOMOGRAPHY;

EID: 12344262926     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00024-004-2616-0     Document Type: Article

References (16)

1. Ackerman, H. D., Pankratz, L. W., and Dansereau, D. (1986), Resolution of Ambiguities of Seismic Refraction Traveltime Curves, Geophysics 51, 223-235.
2. Backus, G.E. and Gilbert, J.F. (1968), Resolving Power of Gross Earth Data, Geophys. J. R. astr. Soc. 16, 196-205.
3. Burger, H. R., Exploration Geophysics of the Shallow Subsurface (Prentice Hall, Inc. 1992).
4. Constable, S. C., Parker, R. L., and Constable, C. G. (1987), Occam's Inversion: A Practical Algorithm for Generating Smooth Models from Electromagnetic Sounding Data, Geophysics 52, 289-300.
5. Hadamard, J., Le Problème de Cauchy el leséquations aux dérivées parti élles linéaires hyperbolique (Herman, Paris 1932).
6. Healy, J. H. (1963), Crustal Structure Along the Coast Of California from Seismic-refraction Measurements, J. Geophys. Res. 68, 5777-5787.
7. Ivanov, J.,Miller, R.D., Xia, J., Steeples, D., and Park, C.B. (2005), The Inverse Problem of Refraction Traveltimes, Part I: Types of Geophysical Nonuniqueness Through Minimization, Pure Appl. Geophys. 162, this issue.
8. Lay, T. and Wallace, T., Modern Global Seismology (Academic Press Inc. 1995).
9. Meju, M. A. (1994), Biased Estimation: A Simple Framework for Inversion and Uncertainty Analysis with Prior Information, Geophys. J. Int. 119, 521-528.
10. Menke, W., Geophysical Data Analysis: Discrete Inverse Theory (Academic Press Inc. 1984).
11. Nolet, G., Seismic Wave Propagation and Seismic Tomography, Seismic Tomography , (ed. Nolet, G.) (D. Reidel Publishing Company 1987).
12. Paige, C.C. and Saunders, M. A. (1982), LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares, ACM Trans. Math. Softw. 8, 43-71.
13. Palmer, D., The Generalized Reciprocal Method of Seismic Refraction Interpretation (Society of Exploration Geophysics, Tulsa 1980).
14. Slichter, L. B. (1932), The Theory of Interpretation of Seismic Travel-time Curves in Horizontal Structures, Physics 3, 273-295.
15. Tikhonov, A. N. and Arsenin, V. Y., Solutions of Ill-Posed Problems (John Wiley and Sons, New York 1977).
16. Zhdanov, M. S., Geophysical Inverse Theory And Regularization Problems (Elsevier, Amsterdam 2002).