A least-squares method for multisurface unfolding

Journal of Structural Geology

Volumn 19, Issue 5, 1997, Pages 735-743

  Léger, Michel ^b   Thibaut, Muriel ^a,b   Gratier, Jean Pierre ^c   Morvan, Jean Marie ^d  

^a Dir de Rech Geophysique Instrum ^*  (France)

^b IFP ENERGIES NOUVELLES   (France)

^c UNIVERSITÉ GRENOBLE ALPES   (France)

^d UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GEOLOGIC MODELS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION;

BED LENGTH CONSERVATION; INITIAL HORIZONTALITY; LOCAL VOLUME CONSERVATION; MULTISURFACE UNFOLDING;

TECTONICS;

BALANCED CROSS SECTION; LEAST SQUARES METHOD;

EID: 0042078260     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-8141(97)85678-7     Document Type: Article

References (21)

1. Barr, D. (1985) 3D palinspastic restoration of normal faults in the Inner Moray Firth: implication for extensional basin development. Earth and Planetary Science Letters 75, 191-203.
2. Bennis, C., Vézien, J. M. and Iglesias, G. (1991) Piecewise surface flattening for non-distorted texture mapping. Computer Graphics 25, 237-246.
3. Cobbold, P. R. and Percevault, M.-N. (1983) Spatial integration of strains using finite elements. Journal of Structural Geology 5, 299-306.
4. Dahlstrom, C. D. A. (1969) Balanced cross-sections. Canadian Journal of Earth Science 6, 743-757.
5. Etchecopar, A. (1977) Plane kinematic model of progressive deformation in poly-cristalline aggregate. Tectonophysics 39, 121-139.
6. Gibbs, A. (1983) Balanced cross-section construction from seismic sections in areas of extensional tectonics. Journal of Structural Geology 5, 153-160.
7. Gratier, J. P., Guillier, B., Delorme, A. and Odonne, F. (1991) Restoration and balance of a folded and faulted surface by best-fitting of finite elements: principles and applications. Journal of Structural Geology 13, 111-115.
8. Gratier, J.-P. and Guillier, B. (1993) Compatibility constraints on folded and faulted strata and calculations of total displacement using computational restoration (UNFOLD program). Journal of Structural Geology 15, 391-402.
9. Kerr, H. G., Whim, N. and Brun, J. P. (1993) An automatic method for determining three-dimensional normal fault geometries. Journal of Geophysical Research 98, 17837-17857.
10. Léger, M., Morvan, J. M. and Rakotoarisoa, H. (1995) Inversion of 3D structural geometry using geological least-squares criteria. Geophysical Journal International 121, 63-81.
11. Lisle, R. J. (1992) Constant bed-length folding: three dimensional geometrical implications. Journal of Structural Geology 14, 245-252.
12. McCoss, A. M. (1988) Restoration of transpression/transtension by generating the three-dimensional segmented helical loci of deformed lines across structure contour maps. Journal of Structural Geology 10, 109-120.
13. Ramsay, J. G. (1967) Folding and Fracturing of Rocks. McGraw-Hill, New York.
14. Ramsay, J. G. (1969) The measurement of strain and displacement in orogenic belts. In Time and Place in Orogeny, eds P. E. Kent, G. E. Salter-Thwaite and A. M. Spencer, pp. 43-79. Special Publication of the Geological Society, London 3.
15. Ramsay, J. G. and Huber, M. I. (1987) The Techniques of Modern Structural Geology, Volume 2: Folds and Fractures. Academic Press, London.
16. Shaw, J. H., Hook, S. C. and Suppe, J. (1994) Structural trend analysis by axial surface mapping. Bulletin of the American Association of Petroleum Geologists 78, 700-721.
17. Suppe, J. (1983) Geometry and kinematics of fault-bend folding. American Journal of Science 283, 684-721.
18. Tarantola, A. (1987) Inverse Problem Theory. Elsevier, Amsterdam.
19. Thibaut, M. (1994) Géométrie des surfaces de faille et dépliage 3D (méthodes et applications). Ph.D. thesis, University of Grenoble. Editions Technip, Paris.
20. Thibaut, M., Gratier, J.-P., Léger, M. and Morvan, J.-M. (1996) An inverse method for determining three-dimensional fault geometry with thread criterion: application to strike-slip and thrust faults (Western Alps and California). Journal of Structural Geology 18, 1127-1138.
21. Woodward, N. B., Boyer, S. E. and Suppe, J. (1985) An Outline of Balanced Cross-sections. University of Tennessee Department of Geological Sciences Studies in Geology 11.