A direct method for modeling and unfolding developable surfaces and its application to the Ventura Basin (California)

Journal of Structural Geology

Volumn 27, Issue 2, 2005, Pages 303-316

  Thibert, Boris ^a,d   Gratier, Jean Pierre ^b   Morvan, Jean Marie ^a,c  

^a UNIVERSITÉ LYON 1   (France)

^b UNIV GRENOBLE ALPES   (France)

^c INRIA   (France)

^d BUCK INSTITUTE FOR RESEARCH ON AGING   (United States)

Author keywords

Developable; Mesh; Restoration; Unfold; Ventura Basin

Indexed keywords

CONSTANT-LENGHT DEFORMATION; GEOLOGICAL STRUCTURES; KINEMATIC PROPERTIES; UNFOLDING TECHNIQUES;

COMPUTER SIMULATION; DEFORMATION; ERROR ANALYSIS; KINEMATICS; SURFACE STRUCTURE;

STRUCTURAL GEOLOGY;

ANALYTICAL METHOD; FOLDING; GEOLOGICAL STRUCTURE; KINEMATICS; NUMERICAL MODEL;

CALIFORNIA; NORTH AMERICA; UNITED STATES; VENTURA BASIN; WESTERN HEMISPHERE; WORLD;

EID: 13444283320     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2004.08.011     Document Type: Article

References (33)

1. T. Affolter J.P. Gratier Map-view retrodeformation of an arcuate fold-and-thrust belt: The Jura case study Journal of Geophysical Research 109 B3 2004 31-50
2. A.D. Aleksandrov V.A. Zalgaller Intrinsec Geometry of Surfaces 1967 American Mathematical Society Providence, Rhode Island 327pp
3. C. Bennis J.M. Vézien G. Igésias Piecewise surface flattening for nondistorted texture mapping Computer Graphics 25 1991 237-246
4. T. Cornu F. Schneider J.P. Gratier 3D kinematic modeling of sedimentary basin deformation In: D.A. Nieuwland (Eds.) New Insights into Structural Interpretation and Modeling Geological Society Special Publication 212 2002 275-283
5. C.D.A. Dahlstrom Balanced cross-sections Canadian Journal of Earth Science 6 1969 743-757
6. M. Desbrun M. Meyer P. Alliez Intrinsec Parameterizations of Surface Meshes. Eurographics's Conference Proceedings 2002 209-218
7. M.P. Do Carmo Differential Geometry of Curves and Surfaces 1976 Prentice-Hall Englewood Cliffs, New Jersey 745pp
8. J.A. Dunbar R. Cook Palinspastic reconstruction of structure maps: An automated finite element approach with heterogeneous strain Journal of Structural Geology 25 2003 1021-1036
9. J.P. Gratier B. Guillier Compatibility Constraints on Folded and Faulted Strata and Calculations of Total Displacement using Computational Restoration (UNFOLD Program) 1993
10. J.P. Gratier B. Guillier A. Delorme F. Odonne Restoration and balance of a faulted surface by best-fitting of finite elements: Principles and applications Journal of Structural Geology 13 1991 111-115
11. J.P. Gratier T. Hopps C. Sorlien T. Wright Recent crustal deformation in Southern California deduced from the restoration of folded and faulted strata Journal of Geophysical Research 104 1999 4887-4899
12. P. Hartman L. Nirenberg On spherical image maps whose Jacobians do not change sign American Journal Mathematics 81 1959 901-920
13. P. Hartman A. Wintner On the fundamental equations of differential geometry American Journal of Mathematics 72 1950 757-774
14. P. Hartman A. Wintner On the asymptotic curves of a surface American Journal of Mathematics 73 1951 149-172
15. R.G. Heck Santa Barbara Channel regional formline map, top Monterey Formation In: D.S. Kunitomi T.E. Hopps J.M. Galloway (Eds.) Structures and Petroleum Geology Santa Barbara Channel, California, Bakerfield California Pacific Section American Association of Petroleum Geologists 46 1998 183-184
16. Hopps, T.E., Stark, H.E., Hindle, R.J., 1995. Subsurface data in basin analysis. An example from Ventura basin, California. In: Workshop 'Thrust Ramps and Detachments Faults in the Western Transverses Range' University of Southern California, Santa Barbara Earthquake Center, 10pp.
17. J.R. Hossack The use of balanced cross-sections in the calculation of orogenic contraction: A review Journal of the Geological Society of London 136 1979 705-711
18. G.J. Hupfile Thin-skinned tectonics of the upper Ojai Valley and Sulphur Mountain area, Ventura basin California American Association of Petroleum Geologists Bulletin 75 1991 1353-1373
19. P.A. Jackson R.S. Yeats Structural evolution of the Carpenteria basin western Transverses Range California American Association of Petroleum Geologists Bulletin 66 1982 805-829
20. M.J. Kamerlin C.C. Sorlien Quaternary slip and geometry of the Red Mountain and Pitas Point-North Channel faults California Abs; EOS 46 80 1999 F1003
21. H.G. Kerr N. White J.P. Brun An automatic method for determining three-dimensional normal fault geometries Journal Geophysical Research 98 1993 17837-17857
22. J.C. Lecomte J.F. Mondy C. Bennis M. Léger A Balanced Surface Method. A New Way to Improve your Structural Maps Interpretation 1994 American Association of Petroleum Geologists Convention Denver
23. B. Lévy J.L. Mallet Non-distorted texture mapping for sheared triangulated meshes Proceedings of Computer Graphics, Annual Conference Series 1998 343-352
24. R.J. Lisle Constant bed-length folding: Three-dimensional geometrical implications Journal of Structural Geology 14 1992 245-252
25. Morvan, J.M., Thibert, B., 2002. Unfoldings of Surfaces. INRIA's research report, no. 4615.
26. J.G. Ramsay Folding and Fracturing of Rocks 1967 McGraw-Hill New York 568pp
27. D. Rouby H.B. Xiao J. Suppe 3-D restoration of complexly folded and faulted surfaces using multiple unfolding mechanisms American Association of Petroleum Geologists Bulletin 84 6 2000 805-829
28. Sansom, P., 1996. Equilibrage de structures géologiques 3D dans le cadre du projet GOCAD. Ph.D. thesis, ENSG Nancy, France.
29. A. Sheffer E. De Sturler Parameterization of faceted surfaces for meshing using angle based flattening Engineering with Computers 17 3 2001 326-337
30. Sorlien, C.C., Kamerlin, M.J., 1998. Fault displacement and fold contraction estimated from unfolding of quaternary strata onshore and offshore Ventura basin. California Earthquake Hazard Program. Final report to USGS contract 97-GR-03085, 16pp, digital map scale 1/100,000.
31. M. Thibaut J.P. Gratier M. Léger J.M. Morvan 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 1996 1127-1138
32. G.D. Williams S.J. Kane T.S. Buddin A.J. Richards Restoration and balance of complex folded and faulted rock volumes: Flexural flattening, jigsaw fitting and decompaction in three dimensions Tectonophysics 273 3-4 1997 203-218
33. R.S. Yeats Large-scale Quaternary detachments in Ventura Basin, southern California Journal of Geophysical Research 88 B1 1983 569-583