Flexural unfolding of horizons using paleomagnetic vectors

Journal of Structural Geology

Volumn 35, Issue , 2012, Pages 28-39

  Ramon M J ^a,b   Pueyo, Emilio L ^a   Briz, José Luis ^b   Pocoví, Andrés ^b   Ciria, José Carlos ^b  

^a INSTITUTO GEOLÓGICO Y MINERO DE ESPAÑA   (Spain)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Analog models; Developable surfaces; Internal deformation; Paleomagnetism; Structural restoration

Indexed keywords

ANALOG MODELS; AREA PRESERVATION; DEVELOPABLE SURFACES; FOLDED STRUCTURES; INTERNAL DEFORMATION; NON-CYLINDRICAL; PALEOMAGNETIC DATA; PALEOMAGNETISM; REFERENCE SYSTEMS; REFERENCE VECTORS; RESTORATION METHODS; RESTORATION PROCESS;

DEFORMATION; GEOMAGNETISM; STRATIGRAPHY;

RESTORATION;

ACCURACY ASSESSMENT; DEFORMATION; EXPERIMENTAL STUDY; FOLDING; NUMERICAL MODEL; PALEOMAGNETISM; STRATIGRAPHY; VECTOR;

EID: 84855746527     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2011.11.015     Document Type: Article

References (63)

1. Arenas C., Millán H., Pardo G., Pocoví A. Ebro Basin continental sedimentation associated with late compresional pyrenean tectonics (NE Iberia): controls on margin fans and alluvial systems. Basin Research 2001, 13:65-89.
2. Arriagada C. Rotations tectoniques et déformation de l'avant arc des Andes centrales au cours du Cénozoïque. Mémoires de Géosciences-Rennes 2004, 107:1-308.
3. Arriagad C., Roperch P., Mpodozis C., Cobbold P. Paleogene building of the Bolivian Orocline: tectonic restoration of the central Andes in 2-D map view. Tectonics 2008, 27.
4. Audiber M. Déformation Discontinue et Rotations de Blocs, Méthodes Numériques de Restauration, Mém. Doc. Cent. Armoricain Etud. Struc. Socles 1991, vol. 40. p. 239, Géosci, Rennes, Rennes, France.
5. Bonhommet N., Cobbold P.R., Perroud H., Richardson A. Paleomagnetism and cross-folding in a key area of the Asturian Arc (Spain). Journal of Geophysical Research 1981, 86:1873-1887.
6. Bingham C. An antipodally symmetric distribution on the sphere. Annals of Statistics 1974, 2:1201-1225.
7. Bourgeois O., Cobbold P.R., Rouby D., Thomas J.C., Shein V. Least squares restoration of Tertiary thrust sheets in map view, Tajik Depression, Central Asia. Journal of Geophysical Research B, Solid Earth and Planets 1997, 102(12):27553-27573.
8. Buddin T.S., Kane S.J., Williams G.D., Egan S.S. Asensitivity analysis of 3-dimensional restoration techniques using vertical and inclined shear constructions. Tectonophysics 1997, 269(1-2):33-50.
9. Cobbold P.R., Percevault M.N. Spatial integration of strains using finite elements. Journal of Structural Geology 1983, 5:299-305.
10. Cooper M.A. The calculation of bulk strain in oblique and inclined balanced sections. Journal of Structural Geology 1983, 5(2):161-165.
11. Dahlstrom C.D. Balanced cross sections. Canadian Journal Earth Sciences 1969, 6:743-757.
12. Delaunay B. Sur la sphère vide. Bulletin of the Academy of Sciences of the U.S.S.R., Classe des Sciences Mathématiques et Naturelle 1934, 7(6):793-800.
13. Dunbar J.A., Cook R.W. Palinspastic reconstruction of structure maps: an automated finite element approach with heterogeneous strain. Journal of Structural Geology 2003, 26:1021-1036.
14. Durand-Riard P., Caumon G., Muron P. Balanced restoration of geological volumes with relaxing meshing constraints. Computer and Geosciences 2010, 36(4):441-452.
15. Elliott D. The energy balance and deformation mechanisms of thrust sheets. Philosophical Transactions of the Royal Society 1976, A283:289-312.
16. Fernández O., Muñoz J.A., Arbués P. Quantifying and correcting errors derived from apparent dip in the construction of dip-domain cross-sections. Journal of Structural Geology 2003, 25:35-42.
17. Fisher R.A. Dispersion on a sphere. Proceedings of the Royal Society of London. Series A 1953, 217:295-305.
18. Fischer M., Keating D. Photogrammetric techniques for analyzing displacement, strain, and structural geometry in physical models: application to the growth of monoclinal basement uplifts. Geological Society of America Journal 2004.
19. Goguel J. Traité de tectonique. Comptes Rendus Critiques 1952, Paris, Masson, in-8°, 383 p. (translated in 1962 as Tectonics [San Francisco, Freeman, 384p]. by H.E. Thalman).
20. Gratier J.P., Guillier B., Delorme A., Odonne F. Restoration and balance of a folded and faulted surface by best-fitting of finite elements; principle and applications. Journal of Structural Geology 1991, 13(1):111-115.
21. Gratier J.P., Guiller B. Compatibility constraints on folded and faulted strata and calculation of total displacement using computational restoration (UNFOLD program). Journal of Structural Geology 1993, 15:391-402.
22. Griffiths P., Jones S., Salter N., Schaefer F., Osfield R., Reiser R. Anew technique for 3D-flexural-slip restoration. Journal of Structural Geology 2002, 24:733-782.
23. Guzofski C., Mueller J., Shaw J., Muron P., Medwedeff D., Bilotti F., Rivero C. Insights into the mechanisms of fault-related folding provided by volumetric structural restorations using spatially varying mechanical constraints. American Association of Petroleum Geologists Bulletin 2009, 93:479-502.
24. Hjelle Ø, Dæhlen M. Triangulations and applications. Mathematics and Visualization 2006, 234. Springer, Berlin. G. Farin, H.C. Hege, D. Hoffman, C.R. Johnson, K. Polthier, M. Rumpf (Eds.).
25. Hossack J.R. The use of balanced cross-sections in the calculation of orogenic contraction: a review. Journal of the Geological Society of London 1979, 136:705-711.
26. Kerr H.G., White N., Brun J.P. An automatic method for determining three-dimensional normal fault geometries. Journal of Geophysical Research 1993, 98:17837-17857.
27. Kirkpatrick S., Gelatt C.D., Vecchi M.P. Optimization by simulated annealing. Science. New Series 1983, 220(4598):671-680.
28. Lanaja J.M. Contribución de la exploración petrolífera al conocimiento de la Geología de España 1987, Inst. Geol. Mine, España, Ed.). p. 465, 17 mapas.
29. Leger M., Thibaut M., Gratier J.P., Morvan J.M. Aleast-squares method for multisurface unfolding. Journal of Structural Geology 1997, 19(5):735-743.
30. Maerten L., Maerten F. Chronologic modelling of faulted and fractured reservoirs using geomechanically based restoration: technique and industry applications. AAPG Bulletin 2006, 90(8):1201-1226.
31. Massot, J., 2002. Implémentation de méthodes de restauration équilibrée 3D (implementation of 3D balanced restoration methods). Ph.D. Dissertation, Institut Polytechnique National de Lorraine, Nancy, France, p. 157.
32. McCaig A.M., McClelland E. Palaeomagnetic techniques applied to thrust belts. Thrust Tectonics 1992, 209-216. Chapman y Hall Eds., London, p. 447. K.R. McClay (Ed.).
33. McElroy, R., 1990. Thrust kinematics and syntectonic sedimentation: the Pyrenean frontal ramp, Huesca, Spain. Unpublished PhD thesis, University of Cambridge, p. 175.
34. Millán, H., 1996. Estructura y cinemática del frente de cabalgamiento surpirenaico en las Sierras Exteriores Aragonesas. Tesis Doctoral Universidad de Zaragoza, p. 330.
35. Millán H. Estructura y cinemática del frente de cabalgamiento surpirenaico en las Sierras Exteriores aragonesas. Colección de Estudios Altoaragoneses 2006, vol. 53. Instituto de Estdios Altoaragoneses, Huesca, p. 398.
36. Millán H., Parés J.M., Pocoví A. Modelización sencilla de la estructura del sector occidental de las sierras marginales aragonesas (Prepirineo, provincias de Huesca y Zaragoza). III Congreso Geol. España. Simposios 1992, 2:140-149.
37. Millán H., Pocoví A., Casas A. El frente de cabalgamiento surpirenaico en el extremo occidental de las Sierras Exteriores: sistemas imbricados y pliegues de despegue. Revista de la Sociedad Geológica de España 1995, 8(1-2):73-90.
38. Moretti I., Lepage F., Guiton M. KINE3D: a new 3D restoration method based on a mixed approach linking geometry and geomechanics. Oils & Gas Science and Technology (Rev IFP) 2005, 60:1-12.
39. Moretti I. Working in complex areas: new restoration workflow based on quality control, 2D and 3D restorations. Marine and Petroleum Geology 2008, 25:205-218.
40. Muron Méthodes numériques 3-D de restauration des structures géologiques faillées 2005, PhD école Nationale Supérieure de Géologie, Institut National Polytechnique de Lorraine.
41. Nichols, G.J., 1984. Thrust tectonics and alluvial sedimentation, Aragón, Spain. Unpublished PhD Darwin College, University of Cambridge, p. 243.
42. Nichols G.J. The structure and stratigraphy of the Western External Sierras of the Pyrenees, Northern Spain. Geological Journal 1987, 22(3):245-259.
43. Oliva, B., 2000. Estructura y cinemática del frente surpirenaico en el sector central de la cuenca de Jaca-Pamplona. MSc thesis. Universidad de Zaragoza, p. 100.
44. Oliva B., Pueyo E.L. Gradient of shortening and vertical-axis rotations in the Southern Pyrenees (Spain), insights from a synthesis of paleomagnetic data. Revista de la Sociedad Geológica de España 2007, 20(1-2):105-118.
45. Oliva B., Millán H., Pocoví A., Casas A.M. Estructura de la Cuenca de Jaca en el sector occidental de las Sierras Exteriores Aragonesas. Geogaceta 1996, 20(4):800-802.
46. Oliva, B., Casas, A.M., Pueyo, E.L., Pocoví, A., 2011. Structural and paleomagnetic evidence for non-rotational kinematics in the western termination of the External Sierras (southwestern central Pyrenees). Geologica Acta (in press).
47. Press W., Flannery B., Teukolsky S., Vetterling W. Numerical Recipes in C: The Art of Scientific Computing 1992, Chapter 10.9 Simulated Annealing pp.450-455.
48. Pueyo, E.L., 1994. Estudio magnetotectónico preliminar de las Sierras Exteriores Altoaragonesas. MSc thesis. Universidad de Zaragoza, p. 155.
49. Pueyo, E.L., 2000. Rotaciones paleomagnéticas en sistemas de pliegues y cabalgamientos. Tipos, causas, significado y aplicaciones (ejemplos del Pirineo Aragonés). PhD thesis, Universidad de Zaragoza, p. 296.
50. Pueyo E.L. Evaluating the paleomagnetic reliability in fold and thrust belt studies. Trabajos de Geología 2010, 30(1):145-154.
51. Pueyo E.L., Parés J.M., Millán H., Pocoví A. Conical folds and apparent rotations in paleomagnetism (A case study in the Pyrenees). Tectonophysics 2003, 362(1/4):345-366.
52. Pueyo E.L., Pocoví A., Millán H., Sussman A.J. Map view model to correct and calculate shortening in rotated thrust fronts using paleomagnetic data. Paleomagnetic and Structural Analyses of Orogenic Curvature 2004, vol. 383:57-71. Geological Society of America Spec. Publ. A.J. Sussman, A.B. Well (Eds.).
53. Puigdefábregas C. La sedimentación molásica en la cuenca de Jaca. Pirineos 1975, 104:1-188.
54. Ramsay J.G. Folding and Fracturing of Rocks 1967, McGraw Hill, New York, p. 568.
55. Ramsay J.G., Huber M.I. The Techniques of Modern Structural Geology. Strain Analysis 1983, vol. 1. Academic Press, London, p. 307.
56. Rouby D., Cobbold P.R., Szatmari P., Demercian S., Coelho D., Rici J.A. Restoration in plan view of faulted Upper Cretaceous and Oligocene horizons and its bearing on the history of salt tectonics in the Campos Basin (Brazil). Tectonophysics 1993, 228:435-445.
57. Rouby D., Suppe J., Xiao H. 3D restoration of complexly faulted and folded surfaces using multiple unfolding mechanisms. American Association of Petroleum Geologists 2000, 84:805-829.
58. Suppe J. Principles of Structural Geology 1985, Prentice-Hall Inc., Englewood Cliffs, N.J, p. 537.
59. Sussman, A.J., Chase, C.G., Pueyo, E.L., Mitra, G., Weil, A., 2011. The impact of vertical-axis rotations on shortening estimates. Earth and Planetary Sciences Letters (in review).
60. Thibert B., Gratier J.P., Morvan J.M. Adirect method for modelling and unfolding developable surfaces and its application to the Ventura Basin (California). Journal of Structural Geology 2005, 27:303-316.
61. Turner J.P. Structural and stratigrafic evolution of the West Jaca thrust-top basin, Spanish Pyrenees. Journal of the Geological Society of the London 1990, 147:177-184.
62. Van der Voo R. The reliability of paleomagnetic data. Tectonophysics 1990, 184:1-9.
63. Williams G.D., Kane S., Buddin T.S., Richards A.J. Restoration and balance of complex folded and faulted rock volumes; flexural flattening, jigsaw fitting and decompaction in three dimensions. Tectonophysics 1997, 273(3-4):203-218.