Abstract
The laminar crust, constituting the upper part of calcretes (terrestrial CaCO3 accumulations inside surficial sediments), is a succession of thin layers of various colors and shapes resembling micro-stromatolites. The crust structure and its diagenetic evolution are similar to stromatolites. A quantitative study of its structure was made using image analysis. Euclidian parameters were calculated to describe lamina shape. Eight hundred and eighty-six laminae were divided into six classes from the flatest forms to columnar shapes. The geometrical relationships between the shapes are interpreted as steps in the growth process of the microstromatolite. A fractal model of laminar crust growth was developed, using the diffusion-limited aggregation model (DLA) and dilation (an operation of mathematical morphology). This model simulates all growth steps observed in thin section and emphasizes the necessity of an interface with the atmosphere to explain the variety of shapes. This growth model supports the theory of a surficial and biogenic origin for certain calcrete laminar crusts.
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References
Assereto, R. L. M., and Kendall, G. G. St. C., 1977, Nature, origin and classification of peritidal tepee structures and related breccias: Sedimentology. v. 24. no. 2, p. 153–210.
Botha, G. A., and Hughes, J. C. 1992, Pedogenic palygorskite and dolomite in a Late Neogene sedimentary succession, northwestern Transvaal, South Africa: Geodemia, v. 53, no. 1–2, p. 139–154.
Coster, M., and Chermant, J.-L., 1989. Précis d'analyse d'images: Presses du Centre National de la Recherche Scientifique, Paris, 560 p.
El Soudani, S. M., 1978, Profilometric analysis of fractures: Metallography, v. 11, p. 247–336.
Esteban, M., and Klappa, C. F. 1983, Subaerial exposure environment,in Scholle, P. A., Bebout, D. G., and Moore, C. H., eds., Carbonate depositional environments: Am. Assoc. Petroleum Geologists Mem. 33, p. 24–45.
Freytet, P., 1971, Paléosols résiduels et paléosols alluviaux hydromorphes associés aux dépôts fluviatiles dans le Crétacé supérieur et l'Eocène basal du Languedoc: Rev. Géogr. Phys. et Géol. Dyn., v. 13, no. 3, p. 245–268.
Freytet, P., Plaziat, J.-C., and Purser, B. H., 1982, Continental carbonate sedimentation and pedogenesis in Late Cretaceous and Early Tertiary in southern France: E. Schweizerbare'sche Verlagsbushhandlung, Stuttgart, Contributions to Sedimentology, no. 12, 213 p.
Gile, L. H., Peterson, F. F., and Grossman, R. B., 1966, Morphological and genetic sequences of carbonate accumulation in desert soils: Soil Sci., v. 101, no. 5, p. 347–360.
Gile, L. H., Hawley, J. W., and Grossman, R. B., 1981, Soils and geomorphology in the Basin and Range area of southern New Mexico, Guidebook to the Desert Project: New Mexico Bur. Mines Mineral Res. Mem. 39, 222 p.
Gouyet, J.-F., 1992, Physique el structures fractales: Masson, Paris, 234 p.
Hofmann, H. J., 1969, Attributes of stromatolites: Geol. Survey Canada Paper 69-39, 58 p.
Hofmann, H. J., 1973, Stromatolites: characteristics and utility: Earth Sci. Reviews, v. 9, no. 4, p. 339–373.
Hofmann, H. J., 1976, Stromatoid morphometrics,in Walter, M. R., ed., Stromatolites: Developments in Sedimentology, v. 20, Elsevier, Amsterdam, p. 45–54.
Hofmann, H. J., 1977, On Aphebian stromatolites and Riphean stromatolite stratigraphy: Precambrian Res., v. 5, no. 2, p. 175–205.
Jennings, J. N., and Sweeting, M. M., 1961, Caliche pseudo-anticlines in the Fitzroy Basin, West Australia: Am. Jour. Sci., v. 259, no. 8, p. 635–639.
Jullien, R., 1986, Les phénomènes d'agrégation et les agrégats fractals: Ann. Télécommun., v. 41, p. 343–372.
Kaye, B. H., 1989, Image analysis techniques for characterizing fractal structures,in Avnir, D., ed., The fractal approach of heterogeneous chemistry: John Wiley & Sons, Chichester, p. 55–66.
Kaye, B. H., 1993, Chaos and complexity: VCH, Weinheim, 593 p.
Klappa, C. F., 1979, Lichen stromatolites: criterion for subaerial exposure and a mechanism for the formation of laminar calcrete (caliche): Jour. Sed. Pet. v. 49, no. 3, p. 387–400.
Klappa, C. F., 1980, Brecciation textures and tepee structures in Quaternary calcrete (caliche) profiles from eastern Spain: the plant factor in their formation: Geol. Jour. v. 15, no. 2, p. 81–89.
Krumbein, W. E., and Giele, C., 1979, Calcification in a coccoid cyanobacterium associated with the formation of desert stromatolites: Sedimentology. v. 26, no. 4, p. 593–604.
Machette, M. N., 1985, Calcic soils of the south-western United States: Geol. Soc. America Spec. Paper 103, p. 1–21.
Matheron, G., 1967, Eléments pour une théorie des milieux poreux: Masson, Paris, 166 p.
Meakin, P., 1983a, Diffusion-controlled cluster formation in 2–6 dimensional space: Physical Rev., v. A27, p. 1495–1507.
Meakin, P., 1983b, Diffusion-controlled deposition on fibers and surfaces: Physical Rev., v. A27, p. 2616–2623.
Meakin, P., 1986, A new model for biological pattern formation: Journ. Theorical Biol., v. 118, p. 101–113.
Meakin, P., and Tolman, S., 1989, Duffision-limited aggregation: Proc. Royal. Soc. London, v. A423, p. 133–148.
Monty, C. L. V., 1976, The origin and development of cryptoalgal fabrics,in Walter, M. R., ed., Stromatolites: Developments in Sedimentology, v. 20, Elsevier, Amsterdam, p. 193–249.
Mullins, W. W., and Sekerka, R. F., 1963, Morphological stability of a particle growing by diffusion of heat flow: Jour. Appl. Phys., v. 34, p. 323–329.
Perrin, B., and Tabeling, P., 1991, Les dendrites: La Recherche, v. 232, p. 656–665.
Price, W. A., 1925, Caliche and pseudo-anticlines: Am. Assoc. Petroleum Geologists Bull., v. 9, no. 6, p. 1009–1017.
Purser, B. H., 1980, Sédimentation et diagénèse des carbonates néritiques récents: Technip, Paris, v. 1, 367 p.
Rabenhorst, M. C., and Wilding, L. P., 1986, Pedogenesis on the Edwards Plateau, Texas: I. Nature and continuity of parent material; II. Formation and occurrence of diagnostic subsurface horizons in a climosequence; III. New model of petrocalcic horizons: Soil Sci. Soc. America Jour., v. 50, no. 3, p. 678–699.
Rabenhorst, M. C., West, L. T., and Wilding, L. P., 1991, Genesis of calcic and petrocalcic horizons in soils over carbonate rocks,in Nettleton, W. D., ed., Occurrence, characteristics and genesis of carbonate, gypsum and silica accumulations in soils: Soil Sci. Soc. America Spec. Publ., v. 26, p. 61–74.
Reeves, C. C. Jr., 1976, Caliche, origin, classification morphology and uses: Estacado Books, Lubbock, Texas, 236 p.
Russ, J. C., 1990, Computer-assisted microscopy, the measurement and analysis of images: Plenum Press, New York, 453 p.
Sancho, C., Melendez, A., Signes, M., and Bastida, J., 1992, Chemical and mineralogical characteristics of Pleistocene caliche deposits from the central Ebro Basin, NE Spain: Clay Minerals, v. 27, no. 3, p. 293–308.
Vanden Heuvel, R. C., 1966, The occurrence of sepiolite and attapulgite in the calcareous zone of a soil near Las Cruces, New Mexico,in Clay and Clay Minerals: Proc. 13th Conf. Clays and Clay Minerals, Pergamon Press, New York, p. 193–207.
Verrecchia, E., 1987, Le contexte morpho-dynamique des croûtes calcaires: apport des analyses séquentielles à l'échelle microscopique: Zeit. f. Geomorph., v. 31, no. 2, p. 179–193.
Verrecchia, E., 1992, Le rôle de la sédimentation, de l'activité biologique et de la diagénèse dans l'édification des nari-calcretes de Nazareth (Galilée, Israël): unpubl. doctorate of science dissertation, Mémoires des Sciences de la Terre, Université Pierre et Marie Curie, Paris, no. 92–17, 447 p.
Verrecchia, E., 1994, L'origine biologique et superficielle des croûtes zonaires: Bull. Soc. Géol. de France, v. 165, p. 583–592.
Verrecchia, E., and Freytet, P., 1987, Interférence pédogénèse-sédimentation dans les croûtes calcaires, Proposition d'une nouvelle méthode d'étude: l'analyse séquentielle,in Fédoroff, N., Bresson, L., and Courty, M. A., eds., Acetes de la VII reunion intern. de micromorphologie des sols: Assoc. Française pour l'Etude du Sol, Plaisir, p. 555–561.
Verrecchia, E. P., and Verrecchia, K. E., 1994, Needle-fiber calcite: a critical review and a proposed classification: Jour. Sed. Res., v. A64, no. 3, p. 650–664.
Verrecchia, E. P., Ribier, J., Patillon, M., and Rolko, K. E., 1991, Stromatolitic origin for desert laminar limecrusts—a new paleoenvironmental indicator for arid regions: Naturwissenschaften, v. 78, p. 505–507.
Vicsek, T., 1992, Fractal growth phenomena: World Scientific, Singapore, 488 p.
Walter, M. R., 1976, Glossary of selected terms,in Walter, M. R., ed., Stromatolites: Developments in Sedimentology, v. 20, Elsevier, Amsterdam, p. 687–692.
Watts, N. L., 1977, Pseudo-anticlines and other structures in some calcretes of Bostwana and South Africa: Earth Surf. Processes, v. 2, no. 1, p. 63–74.
Witten, T. A., and Sanders, L. M., 1981, Diffusion-limited aggregation, a kinetic critical phenomena: Phys. Rev. Letters, v. 47, p. 1400–1403.
Witten, T. A., and Sanders, L. M., 1983, Diffusion-limited aggregation: Physical Rev., v. B27, p. 5686–5697.
Wright, K., and Karlsson, B., 1983, Topographic quantification of non-planar localized surfaces: Journ. Microscopy, v. 130, p. 37–51.
Wright, V. P., 1989, Terrestrial stromatolites and laminar calcretes: A review: Sedimentary Geology, v. 65, no. 1–2, p. 1–13.
Wright, V. P., 1994, Paleosols in shallow marine carbonate sequences: Earth Sci. Reviews, v. 35, no. 4, p. 367–395.
Yaalon, D. H., 1970, Parallel stone cracking, a weathering process on desert surfaces: Technol. and Econ. Bull., Bucarest, v. C18, p. 107–111.
Yaalon, D. H., and Singer, S., 1974, Vertical variation in strength and porosity of calcrete (Nari) on chalf, Shefela, Israel, and interpretation of its origin: Jour. Sed. Pet., v. 44, no. 4, p. 1016–1023.
Zhang, Y., and Hofmann, H. J., 1982, Precambrian stromatolites: image analysis of lamina shape: Jour. Geology, v. 90, no. 3, p. 253–268.
Zhang, Y., and Hoffmann, L., 1992, Blue-green algal mats of the salinas in San-ya, Hai-nan Island (China): structure, taxonomic composition, and implications for the interpretation of Precambrian stromatolites: Precambrian Res., v. 56, p. 275–290.
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Verrecchia, E.P. Morphometry of microstromatolites in calcrete laminar crusts and a fractal model of their growth. Math Geol 28, 87–109 (1996). https://doi.org/10.1007/BF02273525
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DOI: https://doi.org/10.1007/BF02273525