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Determination of the Overburden Permeability of North Sea Chalk

  • Meysam NouraniEmail author
  • Aurelien Gabriel Meyer
  • Hans Jørgen Lorentzen
  • Lykourgos Sigalas
  • Mirhossein Taheriotaghsara
  • Dan Olsen
  • Lars Stemmerik
Technical Note
  • 64 Downloads

Introduction

Absolute permeability is a key reservoir parameter and is particularly vital for reservoir management during the reservoir life cycle. The basic law of fluid flow in porous media is Darcy’s Law. The Darcy equation demonstrates that the velocity of a fluid in a porous medium is inversely proportional to the fluid viscosity and proportional to the pressure gradient (Ahmed and McKinney 2005):
$$Q= - \frac{{KA}}{\mu }\frac{{{\text{d}}P}}{{{\text{d}}L}},$$

Keywords

Porosity Absolute permeability Overburden permeability Pore compressibility Permeability modulus North sea chalk 

List of Symbols

\(Q\)

Volumetric flow rate

\(K\)

Absolute permeability

\(A\)

Cross-sectional area of flow

\(\frac{{{\text{d}}P}}{{{\text{d}}L}}\)

Pressure gradient

\(\mu\)

Fluid viscosity

\(\sigma\)

Effective confining pressure

\({K_{\text{k}}}\)

Klinkenberg-corrected permeability

\(a\)

Coefficient (Slope)

\({K_{\text{b}}}\)

Coefficient (Intercept)

\({K_{\text{c}}}\)

Fitting parameter

\(\varphi\)

Porosity

\({C_{\text{p}}}\)

Pore volume compressibility

\(\gamma\)

Permeability modulus

\(n\)

Number of samples

\({K_{\text{g}}}\)

Measured absolute permeability

\(\Delta P\)

Difference pressure between the overburden sleeve pressure and ambient sleeve pressure

\(P\)

Pressure

Notes

Acknowledgements

The authors are grateful for the financial support by the Centre for Oil and Gas-DTU/Danish Hydrocarbon Research and Technology Centre (DHRTC). We are also grateful to Niels Springer, Niels Hemmingsen Schovsbo, Margrethe Thorup Nielsen and Louise Ponsaing Lauridsen for their highly constructive comments and recommendations.

Funding

This study was funded by the Centre for Oil and Gas-DTU/Danish Hydrocarbon Research and Technology Centre (DHRTC).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflicts of interest.

References

  1. Ahmed T, McKinney PD (2005) Advanced reservoir engineering. Elsevier Science, BurlingtonGoogle Scholar
  2. Andersen P et al (2018) Comparative study of five outcrop chalks flooded at reservoir conditions: chemo-mechanical behaviour and profiles of compositional alteration. Transp Porous Media 121(1):135–181CrossRefGoogle Scholar
  3. Berg CF (2014) Permeability description by characteristic length, tortuosity, constriction and porosity. Transp Porous Media 103(3):381–400CrossRefGoogle Scholar
  4. Chilingarian GV, Donaldson EC, Yen TF (1996) Subsidence due to fluid withdrawal. Elsevier Publ. Co. Elsevier Science, AtlantaGoogle Scholar
  5. Fatt I, Davis DH (1952) Reduction in permeability with overburden pressure. Petrol Trans AIME 12:329–329.  https://doi.org/10.2118/952329-G CrossRefGoogle Scholar
  6. Gray DH, Fatt I, Bergamini G (1963) The effect of stress on permeability of sandstone cores. Soc Pet Eng J 3:95–100CrossRefGoogle Scholar
  7. Hall HN (1953) Compressibility of reservoir rocks. Petrol Trans AIME 5:309–311.  https://doi.org/10.2118/953309-G CrossRefGoogle Scholar
  8. Hancock JM (1975) The petrology of the chalk. In: Proc. Geolo. Assoc., Elsevier, Atlanta, pp 499–535Google Scholar
  9. HjuleraI ML, Fabriciusb L (2009) Engineering properties of chalk related to diagenetic variations of upper cretaceous onshore and offshore chalk in the north sea area. J Pet Sci Eng 68:151–170.  https://doi.org/10.1016/j.petrol.2009.06.005 CrossRefGoogle Scholar
  10. Jones SC (1988) Two-point determinations of permeability and PV vs. Net confining stress. SPE Form Eval 3:235–241.  https://doi.org/10.2118/15380-PA CrossRefGoogle Scholar
  11. Klinkenberg LJ (1941) The permeability of porous media to liquids and gases. In: Drilling and productions practices. American Petroleum Institute, New York, pp 200–213Google Scholar
  12. Lock E, Ghasemi M, Mostofi M, Rasouli V (2012) An experimental study of permeability determination in the lab. WIT Trans Eng Sci 81(10):221–230CrossRefGoogle Scholar
  13. Louis CA, Dessenne JL, Feuga B (1977) Interaction between water flow phenomena and the mechanical behavior of soil or rock masses. In: Gudehus G (ed) Finite elements in geomechanics. Wiley, New York, pp 479–511Google Scholar
  14. Marek BF (1979) Permeability loss in depletion reservoirs. In: The 54th annual technical conference and exhibition, Las Vegas, Nevada, 23–26 September. Society of Petroleum EngineersGoogle Scholar
  15. Meyer AG, Stemmerik L, Frykman P, Buls T, Nourani M (2019) Modifications of chalk microporosity geometry during burial – an application of mathematical morphology. Mar Pet Geol 100:212–224CrossRefGoogle Scholar
  16. Mortensen J, Engstrøm F, Lind I (1998) The relation among porosity, permeability, and specific surface of chalk from the gorm field, Danish north sea. SPE Reserv Eval Eng 1:245–251.  https://doi.org/10.2118/31062-PA CrossRefGoogle Scholar
  17. Nelson R (1975) Fracture permeability in porous reservoirs: experimental and FieM approach. Texas A&M University, College StationGoogle Scholar
  18. Nur A, Yilmaz O (1985) Pore pressure fronts in fractured rock systems. Department of Geophysics, Stanford University, StanfordGoogle Scholar
  19. Ranjilh PG (2009) Analytical and numerical investigation of water and air flow through rock med. University of Wollongong, WollongongGoogle Scholar
  20. Soracco CG (2015) Effects of compaction due to machinery traffic on soil pore configuration. Rev Bras Ciênc Solo 39:408–415.  https://doi.org/10.1590/01000683rbcs20140359 CrossRefGoogle Scholar
  21. Surlyk F, Stemmerik L, Ahlborn M, Harlou R, Lauridsen BW (2010) The cyclic rørdal member a new lithostratigraphic unit of chronostratigraphic and. Geological Society of Denmark, DenmarkGoogle Scholar
  22. Teeuw D (1971) Prediction of formation compaction from laboratory compressibility data. Old SPE J 11:263–271Google Scholar
  23. Wel KK, Morrow NR, Brower KR (1986) Effect of fluid confining pressure and temperature on absolute permeability of low permeability sandstones. SPE Form Eval J 1:413–423.  https://doi.org/10.2118/13093-PA CrossRefGoogle Scholar
  24. Wingerden EV (2016) Chalk facies and its petrophysical expression from core and wireline data, North Sea basin, the Netherlands. VU University Amsterdam, AmsterdamGoogle Scholar
  25. Zhang L (2005) Engineering properties of rocks. Elsevier Science, AtlantaGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  • Meysam Nourani
    • 1
    Email author return OK on get
  • Aurelien Gabriel Meyer
    • 2
  • Hans Jørgen Lorentzen
    • 1
  • Lykourgos Sigalas
    • 1
  • Mirhossein Taheriotaghsara
    • 3
  • Dan Olsen
    • 1
  • Lars Stemmerik
    • 2
  1. 1.Geological Survey of Denmark and Greenland (GEUS)CopenhagenDenmark
  2. 2.Natural History MuseumUniversity of CopenhagenCopenhagenDenmark
  3. 3.Center for Oil and GasThe Technical University of Denmark (DTU)CopenhagenDenmark

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