1887
Volume 67, Issue 3
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

The elastic moduli and anisotropy of organic‐rich rocks are of great importance to geoengineering and geoprospecting of oil and gas reservoirs. In this paper, we probe into the static and dynamic moduli of the Ghareb–Mishash chalk through laboratory measurements and new analytical approaches. We define a new anisotropy parameter, ‘hydrostatic strain ratio’ (Ω), which describes the differential contraction of anisotropic rocks consequent to hydrostatic compression. Ω depends on the , , and stiffness constants of a transversely isotropic material, and therefore enables a unique insight into the anisotropic behaviour of TI rocks. Ω proves more sensitive to anisotropy within the weak anisotropy range, when compared with Thomsen's and parameters. We use Ω to derive static moduli from triaxial compression tests performed on a single specimen. This is done by novel employment of a hydrostatic‐deviatoric combination for transversely isotropic elastic stiffnesses. Dynamic moduli are obtained from acoustic velocities measurements. We find that the bedding‐normal velocities are described well by defining kerogen as the load‐supporting matrix in a Hashin–Shtrikman model (‘Hashin–Shtrikman (HS) kerogen’). The dynamic moduli of the Ghareb–Mishash chalk in dry conditions are significantly higher than the static moduli. The dynamic/static moduli ratio decreases from ∼4 to ∼2 with increasing kerogen content. Both the static and dynamic moduli decrease significantly with increasing porosity and kerogen content. The effect of porosity on them is two times stronger than the effect of kerogen.

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2019-03-04
2020-06-03
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References

  1. AhmadovR., VanorioT. and MavkoG.2009. Confocal laser scanning and atomic‐force microscopy in estimation of elastic properties of the organic‐rich Bazhenov Formation. The Leading Edge28, 18–23.
    [Google Scholar]
  2. Al‐TahiniA., SondergeldC. and RaiC.2004. The effect of cementation on static and dynamic properties in Jauf and Unayzah formations at Saudi Arabia. SPE Annual Technical Conference and Exhibition.
  3. American Petroleum Institute
    American Petroleum Institute . 1998. Recommended Practices for Core Analysis (No. 40, 2nd edn). Washington, DC: American Petroleum Institute, Exploration and Production Department.
    [Google Scholar]
  4. BisnovatK., HatzorY.H., VinegarH.J., NguyenS.V., PalchikV. and FeinsteinS.2015. Mechanical and petrophysical behavior of organic‐rich chalk from the Judea Plains, Israel. Marine and Petroleum Geology64, 152–164.
    [Google Scholar]
  5. BridgesM.2016. Mechanical properties of the Niobrara. M.Sc. thesis, Colorado School of Mines, Golden, Co.
  6. BrotonsV., TomásR., IvorraS., GrediagaA., Martínez‐MartínezJ., BenaventeD. and Gómez‐HerasM.2016. Improved correlation between the static and dynamic elastic modulus of different types of rocks. Materials and Structures49, 3021–3037.
    [Google Scholar]
  7. BurgA. and GersmanR.2016. Hydrogeology and geochemistry of low‐permeability oil‐shales–Case study from HaShfela sub‐basin, Israel. Journal of Hydrology540, 1105–1121.
    [Google Scholar]
  8. CarcioneJ.M.2000. A model for seismic velocity and attenuation in petroleum source rocks. Geophysics65, 1080–1092.
    [Google Scholar]
  9. CarcioneJ.M.2014. Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media, 3rd ed.Elsevier.
    [Google Scholar]
  10. CarcioneJ.M., HelleH.B. and AvsethP.2011. Source‐rock seismic‐velocity models: Gassmann versus Backus. Geophysics76(5), N37–N45.
    [Google Scholar]
  11. CavalliniF.1999. The best isotropic approximation of an anisotropic Hooke's law. Bollettino Di Geofisica Teorica Ed Applicata40, 1–18.
    [Google Scholar]
  12. ChengC. and JohnstonD.H.1981. Dynamic and static moduli. Geophysical Research Letters8, 39–42.
    [Google Scholar]
  13. DewhurstD.N., SigginsA.F., SaroutJ., RavenM.D. and Nordgård‐BolåsH.M.2011. Geomechanical and ultrasonic characterization of a Norwegian Sea shale. Geophysics76(3), WA101–WA111.
    [Google Scholar]
  14. EmmanuelS., EliyahuM., Day‐StirratR.J., HofmannR. and MacaulayC.I.2016. Impact of thermal maturation on nano‐scale elastic properties of organic matter in shales. Marine and Petroleum Geology70, 175–184.
    [Google Scholar]
  15. FabriciusI.L.2003. How burial diagenesis of chalk sediments controls sonic velocity and porosity. AAPG Bulletin87, 1755–1778.
    [Google Scholar]
  16. FabriciusI.L., HøierC., JapsenP. and KorsbechU.2007. Modelling elastic properties of impure chalk from South Arne Field, North Sea. Geophysical Prospecting55, 487–506.
    [Google Scholar]
  17. FabriciusI.L.2014. Burial stress and elastic strain of carbonate rocks. Geophysical Prospecting62, 1327–1336.
    [Google Scholar]
  18. FjærE., HoltR.M., RaaenA., RisnesR. and HorsrudP.2008. Petroleum Related Rock Mechanics, Elsevier.
    [Google Scholar]
  19. FjærE., StroiszA.M. and HoltR.M.2013. Elastic dispersion derived from a combination of static and dynamic measurements. Rock Mechanics and Rock Engineering46, 611–618.
    [Google Scholar]
  20. Golder Associates
    Golder Associates . 2011. Zoharim In Situ Stress Measurement – Hydraulic Jacking (No. 113‐81968). Tel Aviv: Golder Associates.
    [Google Scholar]
  21. GommesenL. and FabriciusI.L.2001. Dynamic and static elastic moduli of North Sea and deep sea chalk. Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy26, 63–68.
    [Google Scholar]
  22. GordinY., HatzorY.H. and VinegarH.J.2016. Ultrasonic Velocity and Anisotropy of Organic‐Rich Chalks. American Rock Mechanics Association (ARMA), Houston, TX.
    [Google Scholar]
  23. GvirtzmanG., MoshkovitzS. and ReissZ.1985. Senonian to Early Eocene Mount Scopus Group in the HaShefela region, Central Israel: stratigraphy and basin evolution. Israel Journal of Earth Sciences34, 172–192.
    [Google Scholar]
  24. HanD., LiuJ. and BatzleM.2006. Acoustic property of heavy oil‐measured data. SEG Technical Program Expanded Abstracts 2006, 1903–1907.
  25. HashinZ. and ShtrikmanS.1963. A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids11, 127–140.
    [Google Scholar]
  26. HigginsS.M., GoodwinS.A., BrattonT.R. and TracyG.W.2008. Anisotropic stress models improve completion design in the Baxter shale. SPE Annual Technical Conference and Exhibition, Denver, CO.
  27. HofmannR.2006. Frequency dependent elastic and anelastic properties of clastic rocks. Ph.D. thesis, Colorado School of Mines, Golden, CO.
  28. International Society for Rock Mechanics
    International Society for Rock Mechanics . 2007. The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. International Society for Rock Mechanics, Commission on Testing Methods.
  29. JizbaD., MavkoG. and NurA.1990. Static and dynamic moduli of tight gas sandstones. SEG Technical Program Expanded Abstracts 1990, 827–829.
  30. KingM.S.1964. Wave velocities and dynamic elastic moduli of sedimentary rocks. Ph.D. thesis, University of California, Berkeley
  31. KingM.S.1969. Static and dynamic elastic moduli of rocks under pressure. 11th US Symposium on Rock Mechanics (USRMS).
  32. KorsnesR., WerslandE., AustadT., and MadlandM.2008. Anisotropy in chalk studied by rock mechanics. Journal of Petroleum Science and Engineering62, 28–35.
    [Google Scholar]
  33. LedbetterH.1993. Dynamic vs. static young's moduli: a case study. Materials Science and Engineering A65(1), L9–L10.
    [Google Scholar]
  34. LoT., CoynerK.B. and ToksözM.N.1986. Experimental determination of elastic anisotropy of Berea sandstone, Chicopee shale, and Chelmsford granite. Geophysics51, 164–171.
    [Google Scholar]
  35. LöhrS.C., BaruchE.T., HallP.A. and KennedyM.J.2015. Is organic pore development in gas shales influenced by the primary porosity and structure of thermally immature organic matter? Organic Geochemistry87, 119–132.
    [Google Scholar]
  36. LoucksR.G., ReedR.M., RuppelS.C. and HammesU.2012. Spectrum of pore types and networks in mudrocks and a descriptive classification for matrix‐related mudrock pores. AAPG Bulletin96, 1071–1098.
    [Google Scholar]
  37. MarionD.P.1990. Acoustical, mechanical, and transport properties of sediments and granular materials. Ph.D. thesis, Stanford University, CA.
  38. MashinskyE.I.2003. Differences between static and dynamic elastic moduli of rocks: physical causes. Russian Geology and Geophysics44, 953–959.
    [Google Scholar]
  39. MavkoG., MukerjiT. and DvorkinJ.2009. The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media. Cambridge University Press.
    [Google Scholar]
  40. MeilijsonA., Ashckenazi‐PolivodaS., IllnerP., AlsenzH., SpeijerR.P., Almogi‐LabinA., et al. 2015. Evidence for specific adaptations of fossil benthic foraminifera to anoxic–dysoxic environments. Paleobiology42, 77–97.
    [Google Scholar]
  41. MeilijsonA., Ashckenazi‐PolivodaS., Ron‐YankovichL., IllnerP., AlsenzH., SpeijerR.P., et al. 2014. Chronostratigraphy of the Upper Cretaceous high productivity sequence of the southern Tethys, Israel. Cretaceous Research50, 187–213.
    [Google Scholar]
  42. Meléndez‐MartínezJ., and SchmittD.R.2016. A comparative study of the anisotropic dynamic and static elastic moduli of unconventional reservoir shales: Implication for geomechanical investigations. Geophysics81(3), D245–D261.
    [Google Scholar]
  43. MinsterT.2009. Oil shale deposits in israel (no. GSI/18/2009). Jerusalem, Israel: GSI.
  44. NajibiA.R., GhafooriM., LashkaripourG.R. and AsefM.R.2015. Empirical relations between strength and static and dynamic elastic properties of Asmari and Sarvak limestones, two main oil reservoirs in Iran. Journal of Petroleum Science and Engineering126, 78–82.
    [Google Scholar]
  45. OlsenC.2007. Elastic and electric properties of North Sea Chalk. Ph.D. thesis, Technical University of Denmark, Department of Environmental Engineering, Kongens Lyngby, Denmark.
  46. OlsenC., ChristensenH.F. and FabriciusI.L.2008a. Static and dynamic Young's moduli of chalk from the North Sea. Geophysics73(2), E41–E50.
    [Google Scholar]
  47. OlsenC., HedegaardK., FabriciusI.L. and PrasadM.2008b. Prediction of Biot's coefficient from rock‐physical modeling of North Sea chalk. Geophysics73(2), E89–E96.
    [Google Scholar]
  48. OngO.N., SchmittD.R., KofmanR.S. and HaugK.2016. Static and dynamic pressure sensitivity anisotropy of a calcareous shale. Geophysical Prospecting64, 875–897.
    [Google Scholar]
  49. PalchikV.2013. Is there link between the type of the volumetric strain curve and elastic constants, porosity, stress and strain characteristics? Rock Mechanics and Rock Engineering46, 315–326.
    [Google Scholar]
  50. PollastroR. and ScholleP.1986. Diagenetic relationships in a hydrocarbon‐productive chalk‐The Cretaceous Niobrara Formation. Studies in Diagenesis: U.S. Geological Survey Bulletin1578, 219–236.
    [Google Scholar]
  51. PrasadM., MbaK.C., SadlerT. and BatzleM.L.2011. Maturity and impedance analysis of organic‐rich shales. SPE Reservoir Evaluation & Engineering14, 533–543.
    [Google Scholar]
  52. RøgenB., FabriciusI.L., JapsenP., HøierC., MavkoG. and PedersenJ.M.2005. Ultrasonic velocities of North Sea chalk samples: influence of porosity, fluid content and texture. Geophysical Prospecting53, 481–496.
    [Google Scholar]
  53. SaroutJ., MolezL., GuéguenY. and HoteitN.2007. Shale dynamic properties and anisotropy under triaxial loading: Experimental and theoretical investigations. Physics and Chemistry of the Earth, Parts A/B/C32, 896–906.
    [Google Scholar]
  54. SayersC.M.2013. The effect of anisotropy on the Young's moduli and Poisson's ratios of shales. Geophysical Prospecting61, 416–426.
    [Google Scholar]
  55. ShitritO., HatzorY.H., FeinsteinS., PalchikV. and VinegarH.J.2016. Effect of kerogen on rock physics of immature organic‐rich chalks. Marine and Petroleum Geology73, 392–404.
    [Google Scholar]
  56. ShitritO., HatzorY.H., FeinsteinS. and VinegarH.J.2017. Acoustic and petrophysical evolution of organic‐rich chalk following maturation induced by unconfined pyrolysis. Rock Mechanics and Rock Engineering50, 3273–3291.
    [Google Scholar]
  57. SimmonsG. and BraceW.1965. Comparison of static and dynamic measurements of compressibility of rocks. Journal of Geophysical Research70, 5649–5656.
    [Google Scholar]
  58. SoneH. and ZobackM.D.2013. Mechanical properties of shale‐gas reservoir rocks—Part 1: static and dynamic elastic properties and anisotropy. Geophysics78(5), D381–D392.
    [Google Scholar]
  59. SpiroB.1980. Geochemistry and mineralogy of bituminous rocks in Israel. Unpublished Ph.D. thesis. The Hebrew University of Jerusalem, Jerusalem, Israel.
  60. TalesnickM., HatzorY. and TsesarskyM.2001. The elastic deformability and strength of a high porosity, anisotropic chalk. International Journal of Rock Mechanics and Mining Sciences38, 543–555.
    [Google Scholar]
  61. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  62. TogashiY., KikumotoM. and TaniK.2017. An experimental method to determine the elastic properties of transversely isotropic rocks by a single triaxial test. Rock Mechanics and Rock Engineering50, 1–15.
    [Google Scholar]
  63. TutuncuA. and SharmaM.1992. Relating static and ultrasonic laboratory measurements to acoustic log measurements in tight gas sands. SPE Annual Technical Conference and Exhibition.
  64. VernikL.1994. Hydrocarbon‐generation‐induced microcracking of source rocks. Geophysics59, 555–563.
    [Google Scholar]
  65. VernikL. and LandisC.1996. Elastic anisotropy of source rocks: implications for hydrocarbon generation and primary migration. AAPG Bulletin80, 531–544.
    [Google Scholar]
  66. VernikL. and LiuX.1997. Velocity anisotropy in shales: a petrophysical study. Geophysics62, 521–532.
    [Google Scholar]
  67. VernikL. and MilovacJ.2011. Rock physics of organic shales. The Leading Edge30, 318–323.
    [Google Scholar]
  68. VernikL. and NurA.1992. Ultrasonic velocity and anisotropy of hydrocarbon source rocks. Geophysics57, 727–735.
    [Google Scholar]
  69. WangZ.
    and NurA. (Eds.). 2000. Seismic and Acoustic Velocities in Reservoir Rocks, Vol. 3, Recent Developments (Geophysics Reprint Series, Number 19 ed.). Tulsa, OK, Society of Exploration Geophysicists.
    [Google Scholar]
  70. WangZ., WangH. and CatesM.E.2001. Effective elastic properties of solid clays. Geophysics66, 428–440.
    [Google Scholar]
  71. YanF. and HanD.2013. Measurement of elastic properties of kerogen. 2013 SEG Annual Meeting, Houston, TX.
  72. YanF., HanD. and YaoQ.2015. Physical constraints on c13 and δ for transversely isotropic hydrocarbon source rocks. Geophysical Prospecting64, 1524–1536.
    [Google Scholar]
  73. YanF., HanD., SilS. and ChenX.2016. Analysis of seismic anisotropy parameters for sedimentary strata. Geophysics81(5), D495–D502.
    [Google Scholar]
  74. ZargariS., PrasadM., MbaK.C. and MattsonE.D.2013. Organic maturity, elastic properties, and textural characteristics of self resourcing reservoirs. Geophysics78(4), D223–D235.
    [Google Scholar]
  75. ZhaoL., QinX., HanD., GengJ., YangZ. and CaoH.2016. Rock‐physics modeling for the elastic properties of organic shale at different maturity stages. Geophysics81(5), D527–D541.
    [Google Scholar]
  76. ZhaoL., QinX., ZhangJ., LiuX., HanD., GengJ. and XiongY.2017. An effective reservoir parameter for seismic characterization of organic shale reservoir. Surveys in Geophysics39, 509–541.
    [Google Scholar]
  77. ZismanW.A.1933. Comparison of the statically and seismologically determined elastic constants of rocks. Proceedings of the National Academy of Sciences of the United States of America19, 680–686.
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  • Article Type: Research Article
Keyword(s): Anisotropy , Elastics , Petrophysics and Rock physics
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