Кеуектi ортаның бiркелкi еместiгiнiң оны сиппаттайтын параметрлерге әсерiн кеуек масштабын зерттеу
DOI:
https://doi.org/10.26577/JMMCS.2021.v112.i4.06Кілттік сөздер:
кеуектi желiнi модельдеу, тiкелей сандық модельдеу, Козени-Карман теңдеуi, өткiзгiштiк, кеуектiлiкАннотация
Бұл мақалада кеуектi ортаның бiртексiздiгiнiң, әсiресе оның негiзгi сипаттамаларға әсерiн талдау үшiн зерттеу жүргiзiлдi. Осы мақсатта нақты кеуектi модельдердiң компьютерлiк нұсқалары пайдаланылды. Бұл үлгiлерде үш бағытта бiрнеше тiлiм бар. Үлгiлердi қайта құру және өңдеу Avizo бағдарлама арқылы жүзеге асырылды. Ортаның бiртексiздiгiнiң негiзгi параметрлерге әсерiн талдау үшiн әрбiр модель бiрнеше геометриялық бiрдей бөлiктерге бөлiндi. Бұл параметрлер салыстыру үшiн кеуек желiсiн модельдеу (КЖМ) және КозениКарман (КК) әдiстерiмен есептелдi. Сонымен қатар, бұл екi әдiс тiкелей сандық модельдеу (ТСМ) әдiсiнiң қолда бар деректерiмен салыстырылды. Талдауға сәйкес, құмтас әлгiлерi үшiн КЖМ және ТСМ арасында жақсы сәйкестiк табылды, ал КК әдiсi ТСМ әдiсiмен сәйкессiздiктi көрсеттi. Карбонатты модельдер үшiн КЖМ және ТСМ әдiсiтiрiнiң арасында сәйкессiздiк байқалды, ал КК әдiсi ТСМ өте жақсы сәйкестiк көрсеттi. Әрбiр бөлiк үшiн параметрлер арасындағы байланыс карбонатты модель үшiн гетерогендi сипат көрсеттi.
Библиографиялық сілтемелер
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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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Как цитировать
Bolysbek, D. A., Assilbekov, B. K., Akasheva, Z. K., & Soltanbekova, K. A. (2021). Кеуектi ортаның бiркелкi еместiгiнiң оны сиппаттайтын параметрлерге әсерiн кеуек масштабын зерттеу. Қазұу Хабаршысы. Математика, механика, информатика сериясы, 112(4). https://doi.org/10.26577/JMMCS.2021.v112.i4.06
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