Determination of Principal Permeability Directions in Reservoir Rocks from Micro-CT Data

Document Type: Research Paper

Authors

1 Faculty of Petroleum and Natural Gas Engineering, Sahand University of Technology, Tabriz, Iran

2 Faculty of Petroleum & Natural Gas Engineering, Sahand University of Technology, Tabriz

3 Shiraz University, School of Chemical & Petroleum Engineering

10.22078/jpst.2018.2966.1482

Abstract

The routine measurement of direction-dependent reservoir rock properties like permeability often takes place along the axial direction of core samples. As permeability is a tensor property of porous materials, it should be fully described by a tensor matrix or by three main permeabilities in principal directions. Due to compaction, cementation, and other lithification processes, which take place after sedimentation, or later distortion and fractionation of the regional earth’s crust, the axial direction of core samples, may not be always one of the main permeability directions. In this paper, a computational technique to find principal permeability directions from micro-CT images of core samples was developed by us. Moreover, an assumed cube inside the core sample data with dimensions small enough to be able to imaginarily rotate inside the core limits has been chosen by us. Also, connected pore network was extracted from micro-CT data, and permeability was calculated in all space directions. In addition, stepwise rotation process continued until all possible space directions were covered. Then calculated permeabilities from all directions have been compared with each other by us. Afterwards, maximum and minimum values have been found by us. In this paper, two micro-CT datasets, which were taken from the Imperial College website, are used. Finally, the obtained results showed that the direction of maximum permeability within the carbonate core sample is about 30° deviation from the axial core direction. In addition to the main direction, the proposed computational technique can be effectively used to describe the permeability tensor of the reservoir rocks.

Keywords


Dong H. and Blunt M. J., “Pore Network Extraction from Micro Computerized Tomography Images,” Journal of Physical Review E, 2009, 80, 36307-36318 .

Blunt M. J., “Flow in Porous Media: Pore Network Models Multiphase Flow,” Curr Opin Colloid Interface Science, 2001, 6, 197-207.

Jin G., Patzek T. W., and Silin D. B., “Direct Prediction of Absolute Permeability of Unconsolidated and Consolidated Reservoir Rocks,” Proceedings of the SPE Annual Technical Conference Exhibition, Heuston, Texas, SPE 90084, 2004, 1-15.

Kang Q., Lichtner P. C., and Zhang D., “Lattice Boltzmann Pore Scale Model for Multicomponent Reactive Transport in Porous Media,” Journal of Geophysics Research 111, B05203, 2006, 2(5), 545-563.

Knackstedt M. A., Arns C. H., Limaye A., Sakellariou A., and et al., “Digital Core Laboratory: Properties of Reservoir Core Derived from 3D Images,” Proceedings of the SPE Asia Pacific conference on integrated modelling or asset management, KualaLumpur, Malaysia, SPE 87009, 2004.

Pan C., Hilpert M., and Miller C. T., “Pore Scale Modeling of Saturated Permeabilities in Random Sphere Packings,” Physical Review E., 2001, 64 (6).

Pan C., Hilpert M., and Miller C. T., “Lattice Boltzmann Simulation of Two-phase Flow in Porous Media,” Journal of Water Resources Research, 2004, 40(1), 1-14.

Piller M., Schena M., Nolich S., Favretto F. and et al., “Analysis of Hydraulic Permeability in Porous Media: from High Resolution X-ray Tomography to Direct Numerical Simulation,” Transp. Porous Media., 2009, 80, 57-78.

D’Humieres D. and Ginzburg I., “Viscosity Independent Numerical Errors or Lattice-Boltzmann Models: from Recurrence Equations to Magic Collision Numbers, Comput. Math. Appl., 2009, 58, 823-840.

Noble D. R., Chen S., Georgiadis J. G., and Buckius R. O., “A Consistent Hydrodynamic Boundary Condition for the Lattice-Boltzmann Method,” Physics of Fluids, AIP Publishing, 1995, 7, 203-210.

Manwart C., Aaltosalmi U., Koponen A., Hilfer R., and et al., “Lattice Boltzmann Finite-difference Simulations for the Permeability for Three-dimentional Porous Media,” Physical Review E., 2002, 66, 16702-16713.

Oren P. E. and Bakke S., “Process Based Reconstruction of Sandstones Prediction of Transport Properties,” Transp. Porous Media, 2002, 46, 311-343.

Kainourgiakis M. E., Kikkinides E. S., Galani A., Charalambopoulou G. C., and et al., “Digitally Reconstructed Porous Media: Transport Sorption Properties,” Transp. Porous Media, 2005, 58, 43-62.

Silin D. B. and Patzek T. W., “Predicting Relative-permeability Curves Directly from Rock Images,” Proceedings of SPE Annual Technical Conference Exhibition, New Orlean, LA, SPE 124974, 2009.

Imperial College, London, UK: PERM, Petroleum and Rock Mechanics Group. Available from: www.imperial.ac.uk/. Accessed 2017.