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Quantitative analysis of experimental and synthetic microstructures for sedimentary rock

Author

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  • Biswal, B.
  • Manwart, C.
  • Hilfer, R.
  • Bakke, S.
  • Øren, P.E.

Abstract

A quantitative comparison between the experimental microstructure of a sedimentary rock and three theoretical models for the same rock is presented. The microstructure of the rock sample (Fontainebleau sandstone) was obtained by microtomography. Two of the models are stochastic models based on correlation function reconstruction, and one model is based on sedimentation, compaction and diagenesis combined with input from petrographic analysis. The porosity of all models closely match that of the experimental sample and two models have also the same two point correlation function as the experimental sample. We compute quantitative differences and similarities between the various microstructures by a method based on local porosity theory. Differences are found in the degree of anisotropy, and in fluctuations of porosity and connectivity. The stochastic models differ strongly from the real sandstone in their connectivity properties, and hence need further refinement when used to model transport.

Suggested Citation

  • Biswal, B. & Manwart, C. & Hilfer, R. & Bakke, S. & Øren, P.E., 1999. "Quantitative analysis of experimental and synthetic microstructures for sedimentary rock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 452-475.
    • Handle: RePEc:eee:phsmap:v:273:y:1999:i:3:p:452-475
    DOI: 10.1016/S0378-4371(99)00248-4
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    References listed on IDEAS

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    1. Biswal, B. & Manwart, C. & Hilfer, R., 1998. "Three-dimensional local porosity analysis of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 221-241.
    2. Andraud, C. & Beghdadi, A. & Haslund, E. & Hilfer, R. & Lafait, J. & Virgin, B., 1997. "Local entropy characterization of correlated random microstructures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 307-318.
    3. Hilfer, R., 1993. "Local porosity theory for electrical and hydrodynamical transport through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 406-414.
    4. Biswal, B. & Hilfer, R., 1999. "Microstructure analysis of reconstructed porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 307-311.
    5. Hilfer, R. & Nøst, B. & Haslund, E. & Kautzsch, Th. & Virgin, B. & Hansen, B.D., 1994. "Local porosity theory for the frequency dependent dielectric function of porous rocks and polymer blends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 19-27.
    6. Boger, F. & Feder, J. & Jøssang, T. & Hilfer, R., 1992. "Microstructural sensitivity of local porosity distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 55-70.
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    Cited by:

    1. Marina V Karsanina & Kirill M Gerke & Elena B Skvortsova & Dirk Mallants, 2015. "Universal Spatial Correlation Functions for Describing and Reconstructing Soil Microstructure," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-26, May.
    2. Manwart, C. & Hilfer, R., 2002. "Numerical simulation of creeping fluid flow in reconstruction models of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 706-713.
    3. Tscheschel, A. & Stoyan, D. & Hilfer, R., 2000. "Erosion–dilation analysis for experimental and synthetic microstructures of sedimentary rock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 46-58.
    4. Xiaobin Li & Wei Wei & Lei Wang & Jianchao Cai, 2022. "Fractal Dimension of Digital 3D Rock Models with Different Pore Structures," Energies, MDPI, vol. 15(20), pages 1-16, October.
    5. Latief, F.D.E. & Biswal, B. & Fauzi, U. & Hilfer, R., 2010. "Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1607-1618.
    6. Hilfer, R., 2006. "Macroscopic capillarity without a constitutive capillary pressure function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 209-225.

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