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Nonparametric Estimation to Reconstruct the Deformation History of an Active Fold in the Caspian Basin

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Abstract

The complete shape of an active fold in the western margin of the South Caspian Basin is established with a seismic section from a post-stacked cube migrated in depth. The structure is an open anticline, which deforms a thick sequence (more than 7 km) of Late Miocene to Pliocene sediments: the productive series (PS 5.9–3.1 Ma). A major erosive unconformity separates the most recent sediments with onlap and draping geometries towards the anticline culmination. Deformation is reconstructed using the complete fit of numerous reflections by the nonparametric regression method. This fold is detached above a weak, shale-rich unit located between 8 and 10 km depth dipping gently towards the E (7\(^{\circ }\)). The fold geometry resembles a detachment fold, although it is reconstructed a long-lived history of basinward tilting accompanying sedimentation and folding, which diminished from 0.61 to 0.34\(^{\circ }\)/Ma during deposition of the PS. Fold growth started at 3.5 Ma within the upper PS with a shortening rate of 0.2 mm/year and coinciding with maximum sedimentation rates (3.24 mm/year). Folding continued up-to-Present under lower sedimentation rates (av. 0.66 ± 0.2 mm/year) and a shortening rate that increased slightly from 0.17 mm/year at 3.1 Ma to 0.29 mm/year during the last 1.6 Ma. The balance between sedimentation and shortening rates varies during folding, explaining the contrasting geometries observed in the growth sediments. It is also inferred that the possible occurrence of lateral flow of overpressured mud-rich sediments inflated the fold core during shortening, similarly to the upwelling process commonly described in salt-core anticlines.

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References

  • Abdullayev NR (2000) Seismic stratigraphy of the Upper Pliocene and Quaternary deposits in the South Caspian Basin. J Petrol Sci Eng 28:207–226

    Article  Google Scholar 

  • Abreu V, Nummedal D (2007) Miocene to Quaternary sequence stratigraphy of the South and Central Caspian Basin. In: Isaksen GH, Yilmaz PO (ed) Oil and gas of the Greater Caspian Sea, Studies in Geology, pp 65–86

  • Allen MB, Jones S, Ismail-Zadeh A, Simmons M, Anderson L (2002) Onset of subduction as the cause of rapid Pliocene-Quaternary subsidence in the South Caspian basin. Geol Soc Am Bull 30:775–778

    Google Scholar 

  • Allen MB, Vincent SJ, Alsop GI, Ismail-zadeh A, Flecker R (2003) Late Cenozoic deformation in the South Caspian region: effects of a rigid basement block within a collision zone. Tectonophysics 366:223–239

    Article  Google Scholar 

  • Antoniadis A (1997) Wavelets in statistics: a review (with discussion). Stat Methods Appl 6:97–144

    Google Scholar 

  • Baganz OW, Bagirov E, Michael GE, Shultz A (2012) Productive series play of the Paleo-Volga Delta, South Caspian Basin: Exploration history, sedimentation, and petroleum system. In: Baganz OW, Bartov Y, Bohacs K, Nummedal D (eds) Lacustrine sandstone reservoirs and hydrocarbon systems AAPG Memoir pp 57-70. doi:10.1306/13291384M953444

  • Bagirov E, Nadirov R, Lerche I (1997) Hydrocarbon evolution for a north-south section of the South Caspian Basin. Mar Petrol Geol 14:773–854

    Article  Google Scholar 

  • Berberian M (1983) The southern Caspian: a compressional depression floored by a trapped, modified oceanic crust. Can J Earth Sci 20:163–183

    Article  Google Scholar 

  • Bowman AW, Pope A, Ismail B (2006) Detecting discontinuities in nonparametric regression curves and surfaces. Stat Comput 16:377–390

    Article  Google Scholar 

  • Breidt J, Opsomer J (2000) Local polynomial regression estimators in survey sampling. Ann Stat 28:1026–1053

    Article  Google Scholar 

  • Brunet MF, Korotaev MV, Ershov AV, Nikishin AM (2003) The South Caspian Basin: a review of its evolution from subsidence modelling. Sediment Geol 156:119–148

    Article  Google Scholar 

  • Buryakovsky LA, Djevanshir RD, Chilingar GV (1995) Abnormally-high formation pressures in Azerbaijan and the South Caspian Basin (as related to smectite-illite transformations during diagenesis and catagenesis). J Petrol Sci Eng 13:203–218

    Article  Google Scholar 

  • Chamberlin RT (1910) The Appalachian folds of central Pennsylvania. J Geol 18:228–251

    Article  Google Scholar 

  • Dahlstrom CDA (1969) The upper detachment in concentric folding. B Can Petrol Geol 17:326–346

    Google Scholar 

  • Dahlstrom CDA (1990) Geometric constraints derived from the law of conservation of volume and applied to evolutionary models for detachment folding. AAPG Bull 74:336–344

    Google Scholar 

  • Devlin WJ, Cogswell JM, Gaskins GM, Isaksen GH, Pitcher DM, Puls DP, Stanley KO, Wall GRT (1999) South Caspian Basin: young, cool, and full of promise. GSA Today 9:1–9

    Google Scholar 

  • EIA (2013) Overview of oil and natural gas in the Caspian Sea region. US Energy Information Administration

  • Epard JL, Groshong RHJ (1993) Excess area and depth to detachment. Am Assoc Petr Geol B 77:1291–1302

    Google Scholar 

  • Fan J (1992) Design-adaptive nonparametric regression. J Am Stat Assoc 87:998–1004

    Article  Google Scholar 

  • Fan J (1993) Local linear regression smoothers and their minimax efficiencies. Ann Stat 21:196–216

    Article  Google Scholar 

  • Fan J, Gijbels I (1996) Local polynomial modelling and its applications. Chapman & Hall, London

    Google Scholar 

  • Fowler SR, Mildenhall J, Zalova S, Riley G, Elsley G, Desplanques A, Guliyev F (2000) Mud volcanoes and structural development on Shah Deniz. J Petrol Sci Eng 28:189–206

    Article  Google Scholar 

  • Forte AM, Sumner DY, Cowgill E, Stoica M, Murtuzayev I, Kangarli T, Elashvili M, Godoladze T, Javakhishvili A (2014) Late Miocene to Pliocene stratigraphy of the Kura Basin, a subbasin of the South Caspian Basin: implications for the diachroneity of stage boundaries. Basin Res 26:1–25. doi:10.1111/bre.12069

    Article  Google Scholar 

  • Gonzalez-Mieres R, Suppe J (2006) Relief and shortening in detachment folds. Tectonophysics 28:1785–1807. doi:10.1016/j.jsg.2006.07.001

    Google Scholar 

  • Gonzalez-Mieres R, Suppe J (2011) Shortening histories in active detachment folds based on area-of-relief methods. In: McClay K, Shaw J, Suppe J (eds) Thrust fault-related folding. AAPG Memoir, pp 39–67. doi:10.1306/13251332M943428

  • Guest B, Guest A, Axen G (2007) Late Tertiary tectonic evolution of northern Iran: a case for simple crustal folding. Global Planet Change 58:435–453

    Article  Google Scholar 

  • Hinds DJ, Aliyeva E, Allen MB, Davies CE, Kroonenberg SB, Simmons MD, Vincent SJ (2004) Sedimentation in a discharge dominated fluvial-lacustrine system: the Neogene Productive Series of the South Caspian Basin, Azerbaijan. Mar Petrol Geol 21:613–638. doi:10.1016/j.tecto.2007.11.045

    Article  Google Scholar 

  • Hubert-Ferrari A, Suppe J, Gonzalez-Mieres R, Wang S (2007) Mechanisms of active folding of the landscape (southern Tian Shan, China). J Geophys Res 112 B03S09. doi:10.1029/2006JB004362

  • Hudson SM, Johnson CL, Efendiyeva MA, Rowe HD, Feyzullayev AA, Aliyev CS (2008) Stratigraphy and geochemical characterization of the Oligocene Miocene Maikop series: implications for the paleogeography of Eastern Azerbaijan. Tectonophysics 451:40–55

    Article  Google Scholar 

  • Inan S, Yalçin MN, Guliev IS, Kuliev K, Feizullayev AA (1997) Deep petroleum occurrences in the Lower Kura Depression, South Caspian Basin, Azerbaijan: an organic geochemical and basin modeling study. Mar Petrol Geol 14:731–762

    Article  Google Scholar 

  • Jackson J, Priestley K, Allen MB, Berberian M (2002) Active tectonics of the South Caspian Basin. Geophys J Int 148:214–245

    Google Scholar 

  • Jones RW, Simmons, MD (1997) A review of the stratigraphy of Eastern Paratethys (Oligocene-Holocene), with particular emphasis on the Black Sea. In: Robinson AG (eds) Regional and petroleum geology of the Black Sea and surrounding region. AAPG Memoir pp 39–52

  • Loader C (1999) Change point estimation using nonparametric regression. Ann Stat 27:1667–1678

    Article  Google Scholar 

  • Mangino S, Priestley K (1998) The crustal structure of the southern Caspian region. Geophys J Int 133:630–648

    Article  Google Scholar 

  • McClay KR (1992) Glossary of thrust tectonics terms. In: McClay KR (ed) Thrust tectonics. Chapman & Hall, London, pp 419–433

    Chapter  Google Scholar 

  • Mitra S (2002) Fold-accommodation faults. AAPG Bull 86:671–693

    Google Scholar 

  • Mitra S (2002) Structural models of faulted detachment folds. AAPG Bull 86:1673–1694

    Google Scholar 

  • Mitra S (2003) A unified kinematic model for the evolution of detachment folds. J Struct Geol 25:1659–1673

    Article  Google Scholar 

  • Mitra S, Namson J (1989) Equal-area balancing. Am J Sci 289:563–599

    Article  Google Scholar 

  • Morton A, Allen M, Simmons M, Spathopoulos F, Still J, Hinds D, Ismail-Zadehz A, Kroonenberg S (2003) Provenance patterns in a Neotectonic basin: pliocene and quaternary sediment supply to the SouthCaspian. Basin Res 15:321–337

    Article  Google Scholar 

  • Nadirov RS, Bagirov E, Tagiyev M, Lerche I (1997) Flexural plate subsidence, sedimentation rates, and structural development of the super-deep South Caspian Basin. Mar Petrol Geol 14:383–400

    Article  Google Scholar 

  • Narimanov AA (1993) The petroleum systems of the South Caspian Basin. In: Doré, AG et al (eds) Basin modelling advances and applications. NPF Special Publication pp 599–608

  • Neprochnov YP (1968) Structure of the earths crust of epi-continental seas: Caspian, Black, and Mediterranean. Can J Earth Sci 5:1037–1043

    Article  Google Scholar 

  • Percival D, Walden A (2000) Wavelet methods for time series analysis. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Poblet J, McClay K (1996) Geometry and kinematics of single-layer detachment folds. AAPG Bull 80:1085–1109

    Google Scholar 

  • Poblet J, McClay K, Storti F, Muñoz JA (1997) Geometries of syntectonic sediments associated with single-layer detachment folds. J Struct Geol 19:369–381

    Article  Google Scholar 

  • Poblet J, Bulnes M, McClay K, Hardy S (2004) Plots of crestal structural relief and fold area versus shortening—a graphical technique to unravel the kinematics of thrust-related folds. In: McClay KR (ed) Thrust tectonics and hydrocarbon systems. AAPG Memoir pp 372–399

  • Poblet J (2012) 2D kinematic models of growth fault-related folds in contractional settings. In: Busby C, Azor A (eds) Tectonics of sedimentary basins: recent advances. Blackwell, Chichester, pp 538–564

    Chapter  Google Scholar 

  • Priestley MB, Chao MT (1972) Nonparametric function fitting. J R Stat Soc B 34:385–392

    Google Scholar 

  • Ramsay JG, Huber MI (1987) The techniques of modern structural geology. Volume 2: folds and fractures. Academic Press, London

    Google Scholar 

  • Roberts KS, Davies RJ, Stewart SA (2010) Structure of exhumed mud volcano feeder complexes, Azerbaijan. Basin Res 22:439–451. doi:10.1111/j.1365-2117.2009.00441.x

    Article  Google Scholar 

  • Rowan MG (1997) Three-dimensional geometry and evolution of a segmented detachment fold, Mississippi Fan foldbelt, Gulf of Mexico. J Struct Geol 19:463–480

    Article  Google Scholar 

  • Rowan MG, Trudgill BD, Fiduk JC (2000) Deep-water, salt-cored foldbelts: leassons from the Mississipi Fan and Perdido Fold belts, Northern Gulf of Mexico. In: Mohriak W, Talwani M (eds) Atlantic rifs and continental margins. AGU Geoohys Mon pp 173–191

  • Ruppert D, Wand MP (1994) Multivariate locally weighted least squares regression. Ann Stat 22:1346–1370

    Article  Google Scholar 

  • Ruppert D, Wand MP, Carroll RJ (2003) Semiparametric regression. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Sánchez-Borrego I, Martinez-Miranda MD, González-Carmona A (2006) Local linear kernel estimation of the discontinuous regression function. Comput Stat 21:557–569

    Article  Google Scholar 

  • Santos Betancor I, Soto JI (2015) 3D geometry of a shale-cored anticline in the western South Caspian Basin (offshore Azerbaijan). Mar Pet Geol 67:829–851. doi:10.1016/j.marpetgeo.2015.06.012

    Article  Google Scholar 

  • Santos Betancor I, Lonergan L, Soto JI, Macellari CE (2014) Gravity-instability processes and mass-transport complexes during folding: the case of a shale-cored anticline in the Western South Caspian Basin. In: Pardo-Igúzquiza E, Guardiola-Albert C, Heredia J, Moreno-Merino L, Durán JJ and Vargas-Guzmán JA (eds) Mathematics of Planet Earth. Proceedings of the 15th annual conference of the international association for mathematical geosciences. Lectures notes in earth system sciences pp 775-778. doi:10.1007/978-3-642-32408-6-167

  • Shikalibeily ES, Grigoriants BV (1980) Principal features of the crustal structure of the South-Caspian basin and the conditions of its formation. Tectonophysics 69:113–121

    Article  Google Scholar 

  • Smith-Rouch LS (2006) OligoceneMiocene Maykop/Diatom total petroleum system of the South Caspian Basin Province, Azerbaijan, Iran, and Turkmenistan. US Geol Surv Bull 2201I:1–27

    Google Scholar 

  • Soto JI, Santos Betancor I, Sánchez Borrego IR, Macellari, CE (2011) Shale diapirism and associated folding history in the South Caspian Basin (offshore Azerbaijan). AAPG Search and Discovery #30162

  • Stewart SA, Davies RJ (2006) Structure and emplacement of mud volcano systems in the South Caspian Basin. AAPG Bull 90:771–786

    Article  Google Scholar 

  • Van Baak CGC, Vasiliev I, Stoica M, Kuiper KF, Forte AM, Aliyeva E, Krijgsman W (2013) A magnetostratigraphic time frame for Plio-Pleistocene transgressions in the South Caspian Basin, Azerbaijan. Global Planet Change 103:119–134. doi:10.1016/j.gloplacha.2012.05.004

    Article  Google Scholar 

  • Wiltschko DV, Groshong RH Jr (2012) The Chamberlin 1910 balanced section: Context, contribution, and critical reassessment. J Struct Geol 41:7–23. doi:10.1016/j.jsg.2012.01.019

    Article  Google Scholar 

  • Wu J, Chu C (1993) Nonparametric function estimation and bandwidth selection for discontinuous regression functions. Stat Sinica 3:557–576

    Google Scholar 

  • Yusifov M, Rabinowitz PD (2004) Classification of mud volcanoes in the South Caspian Basin, offshore Azerbaijan. Mar Petrol Geol 21:965–975. doi:10.1016/j.marpetgeo.2004.06.002

    Article  Google Scholar 

  • Zonenshain LP, Le Pichon X (1986) Deep basins of the Black Sea and Caspian Sea as remnants of Mesozoic back-arc basins. Tectonophysics 123:181–211

    Article  Google Scholar 

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Acknowledgments

The authors would like to thank REPSOL Exploración, S.A. for kindly providing the data and financial support to conduct this study. We acknowledge the work done by the Editor-in-Chief Roussos Dimitrakopoulos, as well as the detailed revision and suggestions provided by an anonymous reviewer. This research was also financed by MICINN research projects TRA2009-0205, MTM2015-63609-R and MTM2012-35650, and CEICE research projectSEJ2954 (Spain).This is a contribution from the research groups FQM365 and RNM376 of the Junta de Andalucía in Spain. Seismic interpretation has been conducted with the Kingdom package. This software is kindly provided by IHS through an academic agreement with the Granada University.

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Correspondence to I. R. Sánchez-Borrego.

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Sánchez-Borrego, I.R., Soto, J.I., Rueda, M. et al. Nonparametric Estimation to Reconstruct the Deformation History of an Active Fold in the Caspian Basin. Math Geosci 48, 985–1011 (2016). https://doi.org/10.1007/s11004-016-9650-1

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