Skip to main content

Simulating Carbonate and Mixed Carbonate-Clastic Sedimentation using Predator-Prey Models

  • Chapter
Geologic Modeling and Simulation

Part of the book series: Computer Applications in the Earth Sciences ((CAES))

Abstract

Carbonate and mixed carbonate clastic sedimentation create a variety of facies types which reflect the population dynamics of carbonate-producing organisms and environmental conditions, under which carbonate sedimentation takes place. In this contribution a simulation model of carbonate and mixed carbonate—clastic sedimentation is presented that considers the population dynamics of the carbonate producing organisms and defines their evolution by simple ecological systems. These systems are represented mathematically by predator—prey models and include a variety of effects such as poisoning of carbonate-producing organisms under the presence of lime mud or clastic sediments and depth-dependent growth functions. In order to test the conceptual model, we apply data from the Lower Cretaceous Mola de Xert carbonate platform (Province Castellón, Spain). The simulated facies succession shows a good fit with the observed facies and demonstrates that predator—prey models can be adapted and calibrated to natural carbonate sequences. The model then is extended to two dimensions in space and tested for effects of sea-level changes on the geometrical and facial evolution of a carbonate deposit, applying data from the Mola de Xert carbonate platform.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bathurst, R. G. C., 1975, Carbonate sediments and their diagenesis: Elsevier, Amsterdam, 658 p.

    Google Scholar 

  • Bice, D. M. 1991, Computer simulation of carbonate platform and basin systems: Kansas Geol. Survey Bull. 233, p. 431–447.

    Google Scholar 

  • Bitzer, K., 1996, Modeling consolidation and fluid flow in sedimentary basins: Computers & Geosciences, v. 22, no. 6, p. 467–478.

    Article  Google Scholar 

  • Bitzer, K., 1999, Two-dimensional simulation of clastic and carbonate sedimentation, consolidation, subsidence, fluid flow, heat flow and solute transport during the formation of sedimentary basins: Computers & Geosciences, v. 25, no 7, p. 431–447.

    Article  Google Scholar 

  • Bitzer, K., and Harbaugh, J. W., 1987, DEPOSIM: A Macintosh computer model for two-dimensional simulation of transport, deposition, erosion, and compaction of clastic sediments: Computers & Geosciences, v. 13, no. 7, p. 611–637.

    Article  Google Scholar 

  • Bonham-Carter, G., and Sutherland, A. J., 1968, Mathematical model and FORTRAN IV program for computer simulation of deltaic sedimentation: Kansas Geol. Survey Computer Contr. 24, 56 p.

    Google Scholar 

  • Bosence, D., and Waltham, D., 1990, Computer modeling the internal architecture of carbonate platforms: Geology, v. 18, no. 1, p. 26–30.

    Article  Google Scholar 

  • Briggs, L. I., and Pollack, H. N., 1967, Digital model of evaporite sedimentation: Science, v. 155, no. 3761, p. 453–456.

    Article  Google Scholar 

  • Choquette, P.W., and James, N.P., 1987, Diagenesis in limestones (Part 3: the deep burial environment): Geoscience Canada, v. 14, no. 1, p. 3–35.

    Google Scholar 

  • Danby, J. M. A., 1985, Computing applications to differential equations: Reston Publ., Reston, Virginia, 257 p.

    Google Scholar 

  • Flemings, P. B., and Grotzinger, J. P., 1996, STRATA: freeware for solving classic stratigraphie problems: GSA Today, v. 6, no. 12, p. 1–7.

    Google Scholar 

  • Flemings, P. B., and Jordan, T.E., 1989, A synthetic stratigraphie model of foreland basin development: Jour. Geophys. Res., v. 94B, no. 4, p. 3851–3866.

    Google Scholar 

  • Flemings, P. B., Grotzinger, J. P., and Morris, J. E., 1996, Strata: a stratigraphie modeling package (user manual):http://hydro.geosc.psu.edu/Strata_html/man.html.

    Google Scholar 

  • Folk, R. L., 1959, Practical petrographic classification of limestones: Am. Assoc. Petroleum Geologists Bull., v. 43, no. 1, p. 1–38.

    Google Scholar 

  • Folk, R. L., 1965, Some aspects of recrystallization in ancient limestones, in Pray, L.C., and Murray, R.C., eds., Dolimitization in limestone diagenesis: Soc. Econ. Paleont. Miner., Spec. Publ., v. 13, p. 14–48.

    Chapter  Google Scholar 

  • Goldhammer, R. K., Dunn, P. A., and Hardie, L. A., 1987, High frequencey glacio-eustatic sealevel oscillations with Milankovitch characteristics recorded in middle Triassic platform carbonates in Northern Italy: Am. Jour. Science, v. 287, no. 9, p. 853–892.

    Article  Google Scholar 

  • Haq, B.U., Hardenbol, J., and Vail, P.R., 1987, Chronology of fluctuating sea-levels since the Triassic: Science, v. 235, no. 4793, p. 1156–1167.

    Article  Google Scholar 

  • Harbaugh, J. W., 1966, Mathematical simulation of marine sedimentation with IBM 7090/7094 computers: Kansas Geol. Survey Computer Contr. 1, 52 p.

    Google Scholar 

  • Harbaugh, J. W., and Bonham-Carter, G., 1970, Computer simulation in geology: John Wiley.& Sons, New York, 574 p.

    Google Scholar 

  • Harbaugh, J. W., and Wahlstedt, W. J., 1967; FORTRAN IV program for mathematical simulation of marine sedimentation with IBM 7040/7094: Kansas Geol. Survey Computer Contr. 9, 40 p.

    Google Scholar 

  • Jones, B., and Desrochers, A., 1992, Shallow platform carbonates, in Walker, R.G., and James, N. P., eds., Facies models response to sea level change: Geol. Assoc. Canada (St. John’s, Newfoundland), p. 227–301.

    Google Scholar 

  • Lees, A., and Buller, A.T., 1972, Modern temperate water and warm water shelf carbonate sediments contrasted: Marine Geology, v. 13, no. 5, p. 1767–1773

    Article  Google Scholar 

  • Lerche, I., Dromgoole, E., Kendall, C. G. St. C., Walter, L. M., and Scaturo, D., 1987, Geometry of carbonate bodies: a quantitative investigation of factors influencing their evolution: Carbonates and Evaporites, v. 2, no. 1, p. 15–42.

    Article  Google Scholar 

  • Longman, M. W., 1980, Carbonate diagenetic textures from nearshore diagenetic environments: Am. Assoc. Petroleum Geologists Bull., v. 64, no. 4, p. 461–487.

    Google Scholar 

  • Lotka, A. J., 1924, Elements of mathematical biology: reprinted 1956 by Dover Pub., New York, 465 p.

    Google Scholar 

  • Malchus, N., Pons, J.M., and Salas, R., 1995, Rudist distribution in the Lower Aptian Platform of La Mola de Xert, astern Iberian Range, NE Spain: Revista Mexicana de Ciencias geológicas, v. 12, p. 224–235.

    Google Scholar 

  • Martinez, P.A., and Harbaugh, J.W., 1993, Simulating nearshore environments: Pergamon Press, Oxford, 265 p.

    Google Scholar 

  • May, R. M., 1973, Stability and complexity in model ecosystems: Princeton Univ. Press, Princeton, New Jersey, 275 p.

    Google Scholar 

  • Person, M., and Garven, G., 1994, A sensivity study of driving forces on fluid flow during continental-rift basin evolution: Geol. Soc. America Bull., v. 106, no. 4, p. 461–475.

    Article  Google Scholar 

  • Querol, X., Salas, R., Pardo, G., and Ardevol, L., 1992, Albian coal-bearing deposits of the Iberian Range in northeastern Spain, in McCabe, J.P., and Patrish, J.T., eds., Controls and distribution and quality of Cretaceous coals: Geol. Soc. America, Spec. Paper 267, no. 4, p. 193–208.

    Chapter  Google Scholar 

  • Read, J. F., Grotzinger, J. P., Bova, J. A., and Koerschner, W. F., 1986, Models of generation of carbonate cycles: Geology, v. 14, no. 2, p. 107–110.

    Article  Google Scholar 

  • Salas, R., 1989, Evolución estratigráfica secuencial y tipos de plataformas de carbonatos del intervalo Oxfordiense-Berriasiense en las cordilleras Ib-rica oriental y Costero Catalana meridional. Cuadernos Geol. Ibér., v. 13, p. 121–157.

    Google Scholar 

  • Salas, R., and Casas, A., 1993, Mesozoic extensional tectonics, stratigraphy and crustal evolution during the Alpine cycle of the eastern Iberian basin: Tectonophysics, v. 228, nos. 1–2, p. 33–55.

    Article  Google Scholar 

  • Salas, R., and Guimerà, J., 1996, Main structural features of the lower Cretaceous Maestrat Basin (Eastern Iberian Range): Geogaceta, v. 20, no. 7, p. 1704–1706.

    Google Scholar 

  • Salas, R., and Guimerà, J., 1997, Estructura y Estratigrafía Secuencial de la Cuenca del Maestrazgo durante la Etapa de Rift Jurásica superior-Cretácica inferior (Cordillera Ibérica Oriental): Boletín Geológico y Minero, v. 108, no. 4, p. 393–402.

    Google Scholar 

  • Salas. R., and Martin-Closas, C., 1991, eds., El Cretácico Inferior del nordeste de Iberia: III Coloquio del Cretacico de España, Morella, 1991, Publicaciones Universidad Barcelona, 153 p.

    Google Scholar 

  • Salas, R., Martín-Closas, C., Querol, X., Guimerà, J., and Roca, E., 1995, Evolución tectonosedimentaria de las cuencas del Maestrazgo y Aliaga-Penyagolosa durante el Cretácico inferior, in Salas R., and Martín-Closas, C., eds., El Cretácico Inferior del Nordeste de Iberia. Publicaciones Universitat de Barcelona, p. 13–94.

    Google Scholar 

  • Salas, R., Guimerà, J., Mas, R., Martín-Closas, C., Meléndez, A., and Alonso, A., 2000, Evolution of the Mesozoic Central Iberian Rift System and its Cenozoic inversion (Iberian Chain), in Cavazza, W., Robertson, A.H.F., and Ziegler, P.A., eds., Peritethyan rift/wrench basins and passive margins: Perithetyan Memoires no. 6, in press.

    Google Scholar 

  • Tetzlaff, D., and Harbaugh, J. W., 1989, Simulating elastic sedimentation: Van Nostrand Reinhold, New York, 202 p.

    Book  Google Scholar 

  • Tipper, J., 1997, Modeling carbonate platform sedimentation ¡ª lag comes naturally: Geology, v. 25, no. 6, p. 495–498.

    Article  Google Scholar 

  • Tucker, M. E., and Wright, V. P., 1990, Carbonate sedimentology: Blackwell Scientific Publ., New York, 482 p.

    Book  Google Scholar 

  • Vail, P.R., Mitchum, R.M., and Thompson, S., 1977, Seismic stratigraphy and global changes of sea level, part 4: global cycles of relative changes of sea level: Am. Assoc. Petroleum Geologists, Mem. 26, p. 83–97.

    Google Scholar 

  • Volterra, V., 1931, Lecons sur la théorie mathématique de la lutte pour la vie: Gauthier-Villars, Paris.

    Google Scholar 

  • Wendebourg, J., and Harbaugh, J. W., 1997, Simulating oil entrapment in clastic sequences: Elsevier, Amsterdam, 199 p.

    Google Scholar 

  • Wright, V. P., and Burchette, T. P., 1996, Shallow-water carbonate environment, in Reading, H.G., ed., Sedimentary environments: processes, facies and stratigraphy: Blackwell Science, Oxford, p. 325–453.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bitzer, K., Salas, R. (2001). Simulating Carbonate and Mixed Carbonate-Clastic Sedimentation using Predator-Prey Models. In: Merriam, D.F., Davis, J.C. (eds) Geologic Modeling and Simulation. Computer Applications in the Earth Sciences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1359-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-1359-9_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5515-1

  • Online ISBN: 978-1-4615-1359-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics