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A first-order model for temperature rise for uniform and differential compression of sediments in basins

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Abstract

We deduce algebraic expressions for temperature rise for ideal cases of uniform and spatially varying compression of sediments of single mineralogy. According to the results of the present work, the temperature rise is related to the coefficient of volume expansion, isothermal compressibility, dimension, bulk density, and specific heat of the sediment columns. Rise of temperature due to compression of sediment is effectively inversely proportional to the volume coefficient of expansion (or contraction) of sediments. Compression-related temperature rise is expected to augment diagenesis. A more realistic model of temperature rise dealing with the rate of compression of sediments that of the pore fluid(s) and the vacant pore space individually would be required.

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References

  • Allen PA, Allen JR (2013) Basin analysis: principles and applications to petroleum play assessment. 3rd edn. Wiley Blackwell, Hoboken, p 327

    Google Scholar 

  • Anandarajah A, Lavoie D (2002) Numerical simulation of the microstructure and compression behavior of Eckernförde Bay sediments. Mar Geol 182:3–27

    Article  Google Scholar 

  • Armstrong PA, Chapman DS (1999) Combining tectonics and thermal fields in Taranaki Basin, New Zealand. In: Forster A, Merriam DF (eds) Geothermics in basin analysis. Springer Science + Business Media LLC, Berlin, pp 151–176

    Chapter  Google Scholar 

  • Bjervik AS (2012) Seimic analysis of Carboniferous rift basin and Triassic growth-fault basins of Svalbard; analysis of seismic facies patterns with bearing on basin geometry and growth-strata successions. Thesis. Norwegian University of Science and Technology, pp 1–99

  • Bjorlykke K (1999) Principal aspects of compaction and fluid flow in mudstones. In: Aplin AC, Fleet AJ, Macquaker JHG (Eds) Muds and mudstones: physical and fluid flow properties. Geological Society London Special Publications, London, vol 158, pp 73–78

    Google Scholar 

  • Blackwell DD, Steele JL (1989) Thermal conductivity of sedimentary rocks: measurement and significance. In: Naeser ND, McCulloh TH (eds) Thermal history of sedimentary basins. Springer, New York, pp 13–35

    Chapter  Google Scholar 

  • Blatt H, Middleton G, Murrey R (1972) Origin of sedimentary rocks. 2nd edn. Prentice-Hall, New Jersey, p 192

    Google Scholar 

  • Bruthans J, Fillipi M, Gersl M, Zare M, Melkova J, Pazdur A, Bosak P (2006) Holocene marine terraces on two salt diapirs in the Persian Gulf, Iran: age, depositional history and uplift rates. J Quarter Sci 21:843–857

    Article  Google Scholar 

  • Buchan S, Smith DT (1999) Deep-Sea sediment compression curves: some controlling factors, spurious over-consolidation, predictions, and geophysical reproduction. Marine Geores Geotechnol 17:65–81

    Article  Google Scholar 

  • Chakraborty C, Mandal N, Ghosh SK (2003) Kinematics of the Gondwana basins of peninsular India. Tectonophysics 377:299–324

    Article  Google Scholar 

  • Chilingarian GV, Rieke HH, Donaldson EC (1995) Compaction of argillaceous sediments. In: Chilingarian GV, Donaldson EC, Yen TF (eds) Subsidence due to fluid withdrawal. Elsevier, Amsterdam, pp 47–164

    Chapter  Google Scholar 

  • Clevis Q, de Boer P, Wachter M (2003) Numerical modelling of drainage basin evolution and three-dimensional alluvial fan stratigraphy. Sediment Geol 163:85–110

    Article  Google Scholar 

  • Cloetingh S, Ziegler PA (2007) Tectonic models for the evolution of sedimentary basins. In: Watts AB (ed) Treatise on geophysics. Elsevier, Amsterdam, pp 486–611

    Google Scholar 

  • Dandekar AY (2006) Petroleum Reservoir Rock and Fluid Properties, CRC Press, Boca Raton, pp 488

  • Debnath K, Chaudhuri S (2010) Bridge pier scour in clay-sand mixed sediments at near-threshold velocity for sand. J Hydraulic Eng 136:597–609

    Article  Google Scholar 

  • De Lapp RC, Le Boeuf EJ (2004) Thermal analysis of whole soils and sediment. J Environ Qual 33:330–337

    Article  Google Scholar 

  • Drost-Hansen W (1991) Some effects of vicinal water on the sedimentation process, compaction, and ultimate properties of sediments. In: Bennett RH, Bryant WR, Hulbart MH (eds) Microstructures of fine-grained sediments: from mud to shale. Springer, New York, p 264

    Google Scholar 

  • Dutta NC (1986) Shale compaction, burial diagenesis, and geopressures: a dynamic model, solution and some results. In: Burrus J (ed) Thermal modeling in sedimentary basins. Gulf Publishing Company, Houston, pp 149–172

    Google Scholar 

  • Fjar E, Holt RM, Raaen AM, Risnes R, Horsrud P (2008) Petroleum related rocks mechanics. 2nd edn. Elsevier, Amsterdam, p 393

    Google Scholar 

  • Galloway WE, Ganey-Curry P, Whiteaker TL (2009) Regional controls from temporal and spatial distribution of continental slope and Abyssal Plain Reservoir Systems of the Gulf of Mexico Basin. Search and Discovery Article #50226. AAPG Database

  • Hansley PL, Whitney CG (1990) Petrology, Diagenesis, and Sedimentology of Oil Reservoirs in Upper Cretaceous Shannon Sandstone Beds, Powder River Basin, Wyoming. US Geol Surv Bull

  • Hantschel T, Kauerauf AI (2008) Fundamentals of basin and petroleum system modeling. pp 31–101

    Chapter  Google Scholar 

  • Huggett J, Hooker JN, Cartwright J (2017) Very early diagenesis in a calcareous, organic-rich mudrock from Jordan. Arab J Geosci 10:270

    Article  Google Scholar 

  • Jackson D, ‎Richardson M (2007) High-frequency seafloor acoustics. Springer, Berlin (ISBN 978-0-387-34154-5)

    Book  Google Scholar 

  • Jones ME, Addis MA (1985) On changes in porosity and volume during burial of argillaceous sediments. Mar Pet Geol 2:247–253

    Article  Google Scholar 

  • Knapp JH, Knapp CCD, Connor JA, McBride JH, Simmons MD (2007) Deep seismic exploration of the South Caspian Basin: lithospherescale imaging of the world’s deepest basin. In: Yilmaz PO, Isaksen GH (Eds) Oil and gas of the Greater Caspian area. AAPG Studies in Geol, vol 55, pp 47–49

  • L’Heureux I, Fowler AD (2000) A simple model of flow patterns in overpressured sedimentary basins with heat transport and fracturing. J Geophys Res 105:23741–23752

    Article  Google Scholar 

  • Lerche I, Petersen K (1995) Salt and sediment dynamics. CRC Press, Boca Raton, pp 1–4

    Google Scholar 

  • Lin W, Chen L, Lu Y, Hu H, Liu L, Liu X, Wei W (2017) Diagenesis and its impact on reservoir quality for the Chang 8 oil group tight sandstone of the Yanchang formation (upper Triassic) in southwestern Ordos basin, China. J Petrol Expl Prod Tech 7:947–959

    Article  Google Scholar 

  • Lonergan L, Cartwright J, Laver R, Staffurth J (2002) Polygonal faulting in the Tertiary of the central North Sea: implications for reservoir geology. In: Holdsworth RH, Turner JP (eds) Extensional tectonics: faulting and related processes. The Geol. Soc., Key Issues in Earth Sciences, vol 2, pp 299–315

  • Meckel TA, ten Brink US, Williams J (2006) Current subsidence rates due to compaction of Holocene sediments in southern Louisiana. Geophys Res Lett 33:L11403

    Article  Google Scholar 

  • Michon L, Merle O (2003) Mode of lithospheric extension: Conceptual models from analogue modeling. Tectonics 22:1028

    Article  Google Scholar 

  • Mukherjee S (2011) Estimating the viscosity of rock bodies—a comparison Between the Hormuz- and the Namakdan Salt Domes in the Persian Gulf, and the Tso Morari Gneiss Dome in the Himalaya. J Ind Geophys Union 15:161–170

    Google Scholar 

  • Mukherjee S (2017) Airy’s isostatic model: a proposal for a realistic case. Arabian J Geosci 10:268

    Article  Google Scholar 

  • Mukherjee S (2018a) Locating center of pressure in 2D geological situations. J Ind Geophys Union 22:49–51

    Google Scholar 

  • Mukherjee S (2018b) Locating center of gravity in geological contexts. Int J Earth Sci 107:1935–1939

    Article  Google Scholar 

  • Mukherjee S (2018c) Moment of inertial for rock blocks subject to bookshelf faulting with geologically plausible density distributions. J Earth Sys Sci. https://doi.org/10.1007/s12040-018-0978-4

    Article  Google Scholar 

  • Mukherjee S, Talbot CJ, Koyi HA (2010) Viscosity estimates of salt in the Hormuz and Namakdan salt diapirs, Persian Gulf. Geol Mag 147:497–507

    Article  Google Scholar 

  • Murton BJ, Biggs J (2003) Numerical modelling of mud volcanoes and their flows using constraints from the Gulf of Cadiz. Marine Geol 195:223–236

    Article  Google Scholar 

  • Nemec W (1988) Coal correlations and intrabasinal subsidence: a new analytical perspective. In: Kleinspeheu KL, Paola C (eds) New perspectives in basin analysis. Springer, New York, pp 161–188

    Chapter  Google Scholar 

  • Parson M, Banerjee A, Rupp J, Medina C, Lichtner P, Gable C, Pawar R, Celia M. McIntosh J, Bense V (2010) Assessment of basin-scale hydrologic impacts of CO2 sequestration, Illinois basin. Int J Greenhouse Gas Control 4:840–854

    Article  Google Scholar 

  • Payne FC, Quinner JA, Potter ST (2008) Remediation hydraulics. CRC Press, Boca Raton, p 40

    Book  Google Scholar 

  • Pettijohn FJ (2004) Sedimentary rocks, 3rd edn. CBS Publishers and Distributors, New Delhi, pp 276

  • Potter PE, Maynard JB, Depetris PJ (2005) Mud and mudstones: introduction and overview, pp. 129. Springer, Berlin, p 130

    Google Scholar 

  • Ramsay JG, Lisle R (2000) The Techniques of modern structural geology: applications of continuum mechanics in structural geology, vol 3. Academic Press, San Francisco, p 926

    Google Scholar 

  • Renchao Y, Aiping F, Zuozhen H, Xiuping W (2012) Diagenesis and porosity evolution of sandstone reservoirs in the East II part of Sulige gas field, Ordos Basin. Int J Mining Sci Tech 22:311–316

    Article  Google Scholar 

  • Rieke HH, Chilingarian GV (1974) Compaction of argillaceous sediments. Elsevier Scientific Publishing Company, Amsterdam, pp 1–424

    Google Scholar 

  • Ryer TA, Langer AW (1980) Thickness change involved in the peat-to-coal transformation for a bituminous coal of Cretaceous age in central Utah. J Sedi Res 50:987–992

    Google Scholar 

  • Stanley J-D, Corwin KA (2013) Measuring strata thicknesses in cores to assess recent sediment compaction and subsidence of Egypt’s Nile delta coastal margin. J Coastal Res 29:657–670

    Article  Google Scholar 

  • Stuwe K (2007) Geodynamics of the lithosphere. 2nd edn, Springer, Berlin, p 272

    Google Scholar 

  • Tari G, Dovenyi P, Dunkl I, Horvath F, Lenkey L, Stefannescu M, Zafian PS, Toth T (1999) Lithosphric structure of the Pannonian basin derived from seismic, gravity and geothermal data. In: Durand B, Jolivet L, Harvath F, Serranne M (eds) The Mediterranean basins: tertiary extension within the Alpine Orogen. Geological Society London Special Publications, London, vol 156, pp 215–250

    Google Scholar 

  • Tucker M (1981) Sedimentary petrology: an introduction. Blackwell Scientific Publications, Hoboken, p 87

    Google Scholar 

  • Turgut A (1997) Inversion of bottom/subbottom statistical parameters from acoustic backscatter data. J Acoustical Soc Am 102:833–852

    Article  Google Scholar 

  • Wangen M (2010) Physical principles of sedimentary basin analysis. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Watts AB (2007) Lithospheric flexure due to prograding sediment loads: implications for the origin of offlap/onlap patterns in sedimentary basins. Basin Res 2:133–144

    Article  Google Scholar 

  • Watts AB, Ryan WBF (1976) Flexure of the lithosphere and continental margin basins. Tectonophysics 36:25–44

    Article  Google Scholar 

  • Weaver CE, Beck KC, Pollard CO (1971) Clay Water diagenesis during burial: how mud becomes gneiss. Geol. Soc. Am. Spec. Pap., p 134, https://doi.org/10.1130/SPE134-p1

    Google Scholar 

  • Weeks LG (1952) Factors of sedimentary basin development that control oil occurrence. AAPG Bull 36:2071–2124

    Google Scholar 

  • Weinberger R, Lyakhovsky V, Baer G, Begin ZB (2006) Mechanical modeling and InSAR measurements of Mount Sedom uplift, Dead Sea basin: Implications for effective viscosity of rock salt. Geophys Geochem Geosys 7Q:05014

    Google Scholar 

  • Wood RJ (1981) The subsidence history of Conoco well 15/30-1, central North Sea. Earth Planet Sci Lett 54:306–312

    Article  Google Scholar 

  • Worden RH, Burley S (2003) Sandstone diagenesis: the evolution of sand to stone. In: Burley S, Worden RH (eds) Sandstone diagenesis: recent and ancient. Blackwell Publishing, Hoboken, pp 3–44

    Google Scholar 

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Acknowledgements

Research sabbatical for the year 2017 and the CPDA grant received from IIT Bombay supported SM. Editorial handling by Christian Dullo, Monika Dullo and the Topic Editor. Detail review by an anonymous reviewer.

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Authors and Affiliations

  1. Department of Earth Sciences, Indian Institute of Technology Bombay, Powai, Mumbai, Maharashtra, India

    Soumyajit Mukherjee & Nishant Kumar

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  1. Soumyajit Mukherjee
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  2. Nishant Kumar
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Correspondence to Soumyajit Mukherjee.

Appendices

Appendix 1

The compaction coefficient/uniaxial compressibility is (Fjar et al. 2008)

$$\Delta h/h{\text{ }}={\text{ }}{C_{\text{m}}}\alpha \Delta {P_{\text{f}}},$$
(29)

where Δh is the change in height of sedimentary layer due to compaction, h is the initial height of the layer, Cm is the coefficient of uniaxial compression, α is the Biot’s poro-elastic parameter, and ΔPf is the change in pore fluid pressure.

Appendix 2

As per Mukherjee (2017; also see Mukherjee 2018a, b, c for similar equations), kx is the density gradient along X-horizontal direction up to a distance l0 and ky is the density gradient along a perpendicular Y direction up to a distance b0. Vertically down along Z direction, and up to h0 distance porosity falls as per Athy’s exponential law. In this case,

$${\rho _{\text{e}}}={\text{ }}{\rho _{\text{m}}}+{\text{ }}0.5\left( {{k_x}{l_0}+{\text{ }}{k_y}{b_0}} \right){\text{ }}+{\text{ }}\left( {{\rho _{\text{m}}} - {\text{ }}{\rho _{\text{f}}}} \right){\emptyset _0}{z_1}^{{ - 1}}\lambda \left( {{{\exp }^{ - {\text{ho}}}}{\lambda ^{ - 1}} - 1} \right).$$
(30)

Symbols defined in “Conclusions and discussion”. ρe can be substituted in place of ρ in Eqs. (20) and (26) and proceeded for the subsequent derivations.

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Mukherjee, S., Kumar, N. A first-order model for temperature rise for uniform and differential compression of sediments in basins. Int J Earth Sci (Geol Rundsch) 107, 2999–3004 (2018). https://doi.org/10.1007/s00531-018-1634-6

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