Abstract
The elastic thickness, Te, is a measure of the strength of the lithosphere under loading and its elastic behavior. While there have been previous investigations on the nature of the lithosphere of Iran using satellite gravity and topography data, here, for the first time, using high-resolution gravity data we determine the elastic thickness for the Iranian lithosphere on a small scale, focusing on a region including Golpayegan, Arak, and Qom Blocks. The lithospheric elastic thickness is calculated using a wavelet transform method. The technique uses a superposition of two-dimensional Morlet wavelets that yields isotropic yet complex wavelet coefficients for the auto- and cross-spectra of gravity and topography data. These are subsequently applied to compute a spatially varying, isostatic coherence, from which both global and local estimates may be obtained. We applied the method to synthetic gravity and topography data generated for a thin elastic plate of uniform elastic thickness. After testing the validity of the technique on synthetic data, it was applied on real terrestrial gravity and topography data obtained from the National Cartographic Center (NCC) with grid spacing of 5 km. The average value calculated for the elastic thickness in the study area is 28 km which is in good accordance with the geological/tectonic structure of the region and previous interpretations for lithospheric strength based on geophysics and geodynamic studies.
Similar content being viewed by others
Data availability
None.
References
Abbaszadeh M, Sharifi MA, Nikkhoo M (2013) A comparison of the estimated effective elastic thickness of the lithosphere using terrestrial and satellite-derived data in Iran. Acta Geophys 61(3):638–648
Agard P, Omrani J, Jolivet L, Mouthereau F (2005) Convergence history across Zagros (Iran): constraints from collisional and earlier deformation. Int J Earth Sci 94(3):401–419
Aghanabati A (2004) Geology of Iran. Geological survey of Iran, Pbls
Allen M, Ghassemi M, Shahrabi M, Qorashi MJ (2003) Accommodation of late Cenozoic oblique shortening in the Alborz range, northern Iran. J Struct Geol 25(5):659–672
Aqrawi AAM, Mahdi TA, Sherwani GH, Horbury AD (2010, March) Characterization of the mid-Cretaceous Mishrif reservoir of the southern Mesopotamian basin, Iraq. In: American Association of Petroleum Geologists Conference and Exhibition, vol 7., pp 7–10
Armstrong GD, Watts AB (2001) Spatial variations in Te in the southern Appalachians, eastern United States. J Geophys Res Solid Earth 106(B10):22009–22026
Artemjev ME, Kaban MK (1991) Isostatic processes and intracontinental orogenesis. J Geodyn 13(1):77–86
Audet P, Mareschal J-C (2004) Variations in elastic thickness in the Canadian Shield. Earth Planet Sci Lett 226(1–2):17–31
Audet P, Mareschal J-C (2007) Wavelet analysis of the coherence between Bouguer gravity and topography: application to the elastic thickness anisotropy in the Canadian Shield. Geophys J Int 168(1):287–298
Bassin CGL (2000) The current limits of resolution for surface wave tomography in North America. EOS Trans. AGU. 81: Fall Meet. Suppl. Abstract
Berberian M (1983) The southern Caspian: a compressional depression floored by a trapped, modified oceanic crust. Can J Earth Sci 20(2):163–183
Berberian M, King GCP (1981) Towards a paleogeography and tectonic evolution of Iran. Can J Earth Sci 18(2):210–265
Berning B, Reuter M, Piller W, Harzhauser M, Kroh A (2009) Larger foraminifera as a substratum for encrusting bryozoans (Late Oligocene, Tethyan Seaway, Iran). Facies 55(2):227–241
Burov E, Diament M (1996) Isostasy, equivalent elastic thickness, and inelastic rheology of continents and oceans. Geology 24(5):419–422
Chen B, Kaban MK, El Khrepy S, Al-Arifi N (2015) Effective elastic thickness of the Arabian plate: weak shield versus strong platform. Geophys Res Lett 42(9):3298–3304
Eshagh M, Tenzer R, Eshagh M (2020) Elastic thickness of the Iranian lithosphere from gravity and seismic data. Tectonophysics 774:228186
Forsyth DW (1985) Subsurface loading and estimates of the flexural rigidity of continental lithosphere. J Geophys Res Solid Earth 90(B14):12623–12632
Grossmann A, Morlet J (1984) Decomposition of functions into wavelets of constant shape, and related transforms. BiBoS,
Harzhauser M, Kroh A, Mandic O, Piller WE, Göhlich U, Reuter M, Berning B (2007) Biogeographic responses to geodynamics: a key study all around the Oligo–Miocene Tethyan Seaway. Zool Anz J Comp Zool 246(4):241–256
Jackson JJN (1980) Reactivation of basement faults and crustal shortening in orogenic belts. Nature 283(5745):343–346
Jackson J, McKenzie D (1988) The relationship between plate motions and seismic moment tensors, and the rates of active deformation in the Mediterranean and Middle East. Geophys J Int 93(1):45–73
Jackson J, McKenzie D, Priestley K, Emmerson B (2008) New views on the structure and rheology of the lithosphere. J Geol Soc 165(2):453–465
Kirby JF (2005) Which wavelet best reproduces the Fourier power spectrum? Comput Geosci 31(7):846–864
Kirby JF (2014) Estimation of the effective elastic thickness of the lithosphere using inverse spectral methods: the state of the art. Tectonophysics 631:87–116
Kirby JF, Swain CJ (2004) Global and local isostatic coherence from the wavelet transform. Geophys Res Lett 31(24):n/a-n/a
Kirby JF, Swain CJ (2006) Mapping the mechanical anisotropy of the lithosphere using a 2D wavelet coherence, and its application to Australia. Phys Earth Planet Inter 158(2–4):122–138
Kirby JF, Swain CJ (2008) An accuracy assessment of the fan wavelet coherence method for elastic thickness estimation. Geochem Geophys Geosyst 9(3). https://doi.org/10.1029/2007GC001773
Kirby JF, Swain CJ (2009) A reassessment of spectral Te estimation in continental interiors: the case of North America. J Geophys Res Solid Earth 114(B8):n/a-n/a
Kirby JF, Swain CJ (2011) Improving the spatial resolution of effective elastic thickness estimation with the fan wavelet transform. Comput Geosci 37(9):1345–1354
Kirby JF, Swain CJ (2013) Power spectral estimates using two-dimensional Morlet-fan wavelets with emphasis on the long wavelengths: jackknife errors, bandwidth resolution and orthogonality properties. Geophys J Int 194(1):78–99
Laske G, Masters G, Ma Z, Pasyanos M (2013) Update on CRUST1. 0—a 1-degree global model of Earth’s crust. In: Geophys Res Abstr p 2658
Lowry AR, Smith RB (1994) Flexural rigidity of the Basin and Range-Colorado Plateau-Rocky Mountain transition from coherence analysis of gravity and topography. J Geophys Res Solid Earth 99(B10):20123–20140
Macario A, Malinverno A, Haxby WF (1995) On the robustness of elastic thickness estimates obtained using the coherence method. J Geophys Res Solid Earth 100(B8):15163–15172
Maggi A, Priestley KJGJI (2005) Surface waveform tomography of the Turkish–Iranian plateau. Geophys J Int 160(3):1068–1080
McKenzie D (2003) Estimating Te in the presence of internal loads. J Geophys Res Solid Earth 108(B9):n/a-n/a
Mohammadi E, Ameri H (2015) Biotic components and biostratigraphy of the Qom Formation in northern Abadeh, Sanandaj–Sirjan fore-arc basin, Iran (northeastern margin of the Tethyan Seaway). Arab J Geosci 8(12):10789–10802
Mohammadi E, Safari A, Vaziri-Moghaddam H, Vaziri M-R, Ghaedi M (2011) Microfacies analysis and paleoenviornmental interpretation of the Qom Formation, South of the Kashan, Central Iran. Carbonates Evaporites 26(3):255–271
Mohammadi E, Hasanzadeh-Dastgerdi M, Ghaedi M, Dehghan R, Safari A, Vaziri-Moghaddam H, Baizidi C, Vaziri M-R, Sfidari E (2013) The Tethyan Seaway Iranian Plate Oligo-Miocene deposits (the Qom Formation): distribution of Rupelian (Early Oligocene) and evaporate deposits as evidences for timing and trending of opening and closure of the Tethyan Seaway. Carbonates Evaporites 28(3):321–345
Mohammadzadeh Moghaddam M, Mirzaei S, Nouraliee J, Porkhial S (2016) Integrated magnetic and gravity surveys for geothermal exploration in Central Iran. Arab J Geosci 9(7):506
Morley CK, Kongwung B, Julapour AA, Abdolghafourian M, Hajian M, Waples D, Warren J, Otterdoom H, Srisuriyon K, Kazemi HJG (2009) Structural development of a major late Cenozoic basin and transpressional belt in central Iran: the Central Basin in the Qom-Saveh area. Geosphere 5(4):325–362
Nissen E, Tatar M, Jackson JA, Allen MB (2011) New views on earthquake faulting in the Zagros fold-and-thrust belt of Iran. Tectonics 186(3):928–944
Parker RL (1973) The rapid calculation of potential anomalies. Geophys J Int 31(4):447–455
Paul A, Hatzfeld D, Kaviani A, Tatar M, Péquegnat C (2010) Seismic imaging of the lithospheric structure of the Zagros mountain belt (Iran). Geol Soc Lond, Spec Publ 330(1):5–18
Peitgen H-O, Saupe D (eds) (1988) The science of fractal images. Springer-Verlag, Berlin
Pérez-Gussinyé M, Lowry AR, Watts AB, Velicogna I (2004) On the recovery of effective elastic thickness using spectral methods: examples from synthetic data and from the Fennoscandian Shield. J Geophys Res Solid Earth 109(B10). https://doi.org/10.1029/2003JB002788
Pérez‐Gussinyé M, Lowry AR, Watts AB (2007) Effective elastic thickness of South America and its implications for intracontinental deformation. Geochem Geophys Geosyst 8(5). https://doi.org/10.1029/2006GC001511
Pérez-Gussinyé M, Metois M, Fernández M, Vergés J, Fullea J, Lowry AR (2009) Effective elastic thickness of Africa and its relationship to other proxies for lithospheric structure and surface tectonics. Earth Planet Sci Lett 287(1–2):152–167
Press WH, Teukolsky SA, Flannery BP, Vetterling WT (1992) Numerical recipes in Fortran 77: volume 1, volume 1 of Fortran numerical recipes: the art of scientific computing. Cambridge University Press, Cambridge
Rahimzadeh F (1994) Treatise on the geology of Iran, Oligocene, Miocene, Pliocene. Geol Surv Iran Publ 12:1–311
Reuter M, Piller W, Harzhauser M, Mandic O, Berning B, Rögl F, Kroh A, Aubry M-P, Wielandt-Schuster U, Hamedani A (2009) The Oligo-/Miocene Qom Formation (Iran): evidence for an early Burdigalian restriction of the Tethyan Seaway and closure of its Iranian gateways. Int J Earth Sci 98(3):627–650
Saura E, Garcia-Castellanos D, Casciello E, Parravano V, Urruela A, Vergés J (2015) Modeling the flexural evolution of the Amiran and Mesopotamian foreland basins of NW Zagros (Iran-Iraq). Tectonics 34(3):377–395
Schuster F, Wielandt U (1999) Oligocene and Early Miocene coral faunas from Iran: palaeoecology and palaeobiogeography. Int J Earth Sci 88(3):571–581
Sengor A, Altiner D, Cin A, Ustaomer T, Hsu K (1988) Origin and assembly of the Tethyside orogenic collage at the expense of Gondwana Land. Geol Soc Lond Spec Publ 37(1):119–181
Shad Manaman N, Shomali H, Koyi H (2011) New constraints on upper-mantle S-velocity structure and crustal thickness of the Iranian plateau using partitioned waveform inversion. Geophys J Int 184(1):247–267
Shapiro NM, Ritzwoller MH (2004) Inferring surface heat flux distributions guided by a global seismic model: particular application to Antarctica. Earth Planet Sci Lett 223(1):213–224
Simons FJ, Zuber MT, Korenaga J (2000) Isostatic response of the Australian lithosphere: estimation of effective elastic thickness and anisotropy using multitaper spectral analysis. J Geophys Res Solid Earth 105(B8):19163–19184
Simons FJ, van der Hilst RD, Zuber MT (2003) Spatiospectral localization of isostatic coherence anisotropy in Australia and its relation to seismic anisotropy: implications for lithospheric deformation. J Geophys Res Solid Earth 108(B5). https://doi.org/10.1029/2001JB000704
Sokoutis D, Corti G, Bonini M, Brun JP, Cloetingh S, Mauduit T, Manetti P (2007) Modelling the extension of heterogeneous hot lithosphere. Tectonophysics 444(1-4):63–79
Stark CP, Stewart J, Ebinger CJ (2003) Wavelet transform mapping of effective elastic thickness and plate loading: validation using synthetic data and application to the study of southern African tectonics. J Geophys Res Solid Earth 108(B12). https://doi.org/10.1029/2001JB000609
Swain CJ, Kirby JF (2006) An effective elastic thickness map of Australia from wavelet transforms of gravity and topography using Forsyth’s method. Geophys Res Lett 33(2):n/a-n/a
Tassara A, Swain C, Hackney R, Kirby J (2007) Elastic thickness structure of South America estimated using wavelets and satellite-derived gravity data. Earth Planet Sci Lett 253(1–2):17–36
Tesauro M, Audet P, Kaban MK, Bürgmann R, Cloetingh S (2012) The effective elastic thickness of the continental lithosphere: comparison between rheological and inverse approaches. Geochem Geophys Geosyst 13(9):n/a-n/a
Vergés J, Saura E, Casciello E, Fernandez M, Villaseñor A, Jimenez-Munt I, García-Castellanos D (2011) Crustal-scale cross-sections across the NW Zagros belt: implications for the Arabian margin reconstruction. Geol Mag 148(5-6):739–761
Watts AB (2001a) Gravity anomalies, flexure and crustal structure at the Mozambique rifted margin. Mar Pet Geol 18(4):445–455
Watts AB (2001b) Isostasy and flexure of the lithosphere. Cambridge University Press, Cambridge
Watts AB, Lamb SH, Fairhead JD, Dewey JF (1995) Lithospheric flexure and bending of the Central Andes. Earth Planet Sci Lett 134(1):9–21
Wrobel-Daveau J-C, Ringenbach J-C, Tavakoli S, Ruiz GM, Masse P, de Lamotte DF (2010) Evidence for mantle exhumation along the Arabian margin in the Zagros (Kermanshah area, Iran). Arab J Geosci 3(4):499–513
Zamani A, Samiee J, Kirby JF (2013) Estimating the mechanical anisotropy of the Iranian lithosphere using the wavelet coherence method. Tectonophysics 601:139–147
Zamani A, Samiee J, Kirby JF (2014) The effective elastic thickness of the lithosphere in the collision zone between Arabia and Eurasia in Iran. J Geodyn 81:30–40
Acknowledgments
The National Cartographic Center of Iran is appreciated for providing the data. We use the software prepared by Prof. Jon F. Kirby. Dr. Hosein Shahnas (shahnas@es.utoronto.ca) is acknowledged for his valuable comments on this paper. The constructive comments of the Editor and Reviewers are acknowledged by authors which greatly improved the paper.
Funding
The first author’s sabbatical leave at the Earth Sciences Department of the University of Toronto, was financially supported by the University of Tehran, under Prof. Pysklywec’s supervision during the period from March 2017 to August 2017.
Author information
Authors and Affiliations
Contributions
Samira Ghalehnovi: methodology, synthetic analysis, data processing, software, writing of original draft
Vahid E. Ardestani: first supervisor of Ph.D. thesis of the first author, conceptualization, validation, writing and review and editing
Russell N. Psyklywec: second supervisor of Ph.D. thesis of the first author, conceptualization, review and editing
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Code availability
None
Additional information
Responsible Editor: François Roure
Rights and permissions
About this article
Cite this article
Ghalehnovi, S., Ardestani, V.E. & Pysklywec, R.N. Determination of elastic thickness of the lithosphere using gravity and topography data: a case study for the Golpayegan, Arak, and the Qom Blocks. Arab J Geosci 13, 1264 (2020). https://doi.org/10.1007/s12517-020-06250-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12517-020-06250-5