ANALYSIS OF THE HETEROGENEITY INFLUENCE ON MAIN PARAMETERS OF POROUS MEDIA AT THE PORE SCALE
DOI:
https://doi.org/10.26577/JMMCS.2021.v112.i4.06Keywords:
Pore Network Modelling, Direct Numerical Computation, Kozeny-Carman equation, permeability, porosityAbstract
The study to analyze the heterogeneity of porous medium, especially its influence of main characteristics is conducted in this paper. For this goal computer versions of real porous models, which were available in open source, were used. These models contain several slices at three directions. Re-build and processing of models were performed using the Avizo Software. For analyzing the influence of the heterogeneity of porous medium on basic parameters, each model were divided into several geometrical pieces. These parameters were computed using computational method of pore network modelling (PNM) and Kozeny-Carman (KC) method with purpose of collation. Also, these two methods were collated with available data from direct numerical computation method (DNC). According to analyzing it was set a good match between PNM and DNC for sandstone models, also KC method showed a divergence with DNC. For carbonate models, a divergence was seen between PNM and DNC, and KC method showed very good match with DNC. The relationship between the parameters for each of piece shows inhomogeneous character for the carbonate model.
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[3] Lai J., Wang G.W., Cao J., "Investigation of pore structure and petrophysical property in tight sandstones" Mar. Pet. Geol., 91 (2018): 179-189.
[4] Mavko G., Nur A., "The effect of a percolation threshold in the Kozeny–Carman relation" Geophysics, 62 (1997): 1355-1673, https://doi.org/10.1190/1.1444251.
[5] Lai J., Wang G.W., Fan Z., "Insight into the pore structure of tight sandstones using NMR and HPMI measurements" Energy Fuels, 30 (2016): 13159–13178, https://doi.org/10.1021/acs.energyfuels.7b01816.
[6] Pape H., Clauser C., Iffland J., "Variation of permeability with porosity in sandstone diagenesis interpreted with a fractal pore space model" Pure Appl. Geophys., 157 (2000): 603–619, https://doi.org/10.1007/PL00001110.
[7] Civan F., "Scale effect on porosity and permeability: kinetics, model and correlation" AIChE J., 47 (2001): 271–287, https://doi.org/10.1002/aic.690470206.
[8] Knackstedt M.A., Latham S., Madadi M., "Digital rock physics: 3D imaging of core material and correlations to acoustic and flow properties" Lead. Edge, 28(1) (2009): 28-33, https://doi.org/10.1190/1.3064143.
[9] Taron J., Elsworth D., Min K.B., "Numerical simulation of thermal-hydrologic-mechanical-chemical
processes in deformable, fractured porous media" Int. J. Rock Mech. Min. Sci., 46(5) (2009): 842-854,
https://doi.org/10.1016/j.ijrmms.2009.01.008.
[10] Blunt M.J., Branko B., Dong H., "Pore-scale imaging and modelling" Adv. Water Resour., 51(1) 2013: 197-216,
https://doi.org/10.1016/j.advwatres.2012.03.003.
[11] Song R., Wang Y., Liu J., Cui M., Lei Y., "Comparative analysis on pore-scale permeability prediction on
micro-CT images of rock using numerical and empirical approaches" Energy Sci. Eng., 7 (2019): 2842-2854,
https://doi.org/10.1002/ese3.465.
[12] Dong H., Blunt M. J., "Pore-network extraction from micro-computerized-tomography images" Phys. Rev. E., 80 (2009): 036307, https://doi.org/10.1103/PhysRevE.80.036307.
[13] Dong H., Fjeldstad S., Alberts L., Roth S., Bakke S., Oren P.-E., "Pore network modelling on carbonate: a comparative study of different micro-ct network extraction methods" International symposium of the society of core analysts, Society of Core Analysts, (2008): 1-12.
[14] Delerue J.-F., Lomov S. V., Parnas R., Verpoest I., Wevers M., "Pore network modeling of permeability for textile reinforcements" Polym. Compos., 24 (3) (2003): 344-357, https://doi.org/10.1002/pc.10034.
[15] Balhoff M.T., Wheeler M.F., "A predictive pore-scale model for non-Darcy flow in porous media" SPE, 14(04) (2009): 579-587, https://doi.org/10.2118/110838-PA.
[16] Xiong Q.R., Todor B., Andrey P.J., "Review of pore network modelling of porous media: experimental
characterisations, network constructions and applications to reactive transport" J. Contam. Hydrol., 192 (2016): 101-117, https://doi.org/10.1016/j.jconhyd.2016.07.002.
[17] Imperial College of London. Micro-CT Images and Networks. https://www.imperial.ac.uk/earthscience/research/research-groups/pore-scale-modelling/micro-ct-images-and-networks/.
[18] Dong H., "Micro-CT imaging and pore network extraction" J (Doctor Thesis, London, UK: Imperial
College London., (2007), https://www.imperial.ac.uk/media/imperial-college/faculty-of-engineering/earth-science-andengineering/recovered-files/33551696.PDF.
[19] Nordahl K., Ringrose P.S., "Identifying the representative elementary volume for permeability in heterolithic deposits using numerical rock models" Math. Geosci., 40 (2008): 753-771, https://doi.org/10.1007/s11004-008-9182-4.
[20] Latief F., Fauzi U., "Kozeny-Carman and empirical formula for the permeability of computer rock models" Int. J. Rock Mech. Min. Sci., 50 (2012): 117-123, https://doi.org/10.1016/j.ijrmms.2011.12.005
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Bolysbek, D. A., Assilbekov, B. K., Akasheva, Z. K., & Soltanbekova, K. A. (2021). ANALYSIS OF THE HETEROGENEITY INFLUENCE ON MAIN PARAMETERS OF POROUS MEDIA AT THE PORE SCALE. Journal of Mathematics, Mechanics and Computer Science, 112(4). https://doi.org/10.26577/JMMCS.2021.v112.i4.06
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