{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T11:33:58Z","timestamp":1776339238208,"version":"3.51.2"},"reference-count":49,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,11,10]],"date-time":"2018-11-10T00:00:00Z","timestamp":1541808000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100011092","name":"Shell Exploration and Production Company","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100011092","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Transp Porous Med"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s11242-018-1190-3","type":"journal-article","created":{"date-parts":[[2018,11,10]],"date-time":"2018-11-10T00:56:25Z","timestamp":1541811385000},"page":"247-267","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["The Impact of Compaction and Sand Migration on Permeability and Non-Darcy Coefficient from Pore-Scale Simulations"],"prefix":"10.1007","volume":"127","author":[{"given":"Sultan","family":"Anbar","sequence":"first","affiliation":[]},{"given":"Karsten E.","family":"Thompson","sequence":"additional","affiliation":[]},{"given":"Mayank","family":"Tyagi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,11,10]]},"reference":[{"key":"1190_CR1","doi-asserted-by":"publisher","first-page":"1823","DOI":"10.1007\/s00707-013-0840-3","volume":"224","author":"PM Adler","year":"2013","unstructured":"Adler, P.M., Malevich, A.E., Mityushev, V.V.: Nonlinear correction to Darcy\u2019s law for channels with wavy walls. Acta Mech. 224, 1823\u20131848 (2013)","journal-title":"Acta Mech."},{"key":"1190_CR2","doi-asserted-by":"publisher","DOI":"10.2118\/25649-pa","author":"MH Al-Rumhy","year":"1993","unstructured":"Al-Rumhy, M.H., Kalam, M.Z.: Relationship of core-scale heterogeneity with non-Darcy flow coefficients. SPE Form. Eval. (1993). \n                    https:\/\/doi.org\/10.2118\/25649-pa","journal-title":"SPE Form. Eval."},{"key":"1190_CR3","unstructured":"Anbar, S.: Multi-scale estimation of inertial effects for frac-pack completed gas reservoirs. (PhD), Lousiana State University (2014). \n                    https:\/\/digitalcommons.lsu.edu\/gradschool_dissertations\/1715\/\n                    \n                  . Accessed 6 Aug 2017"},{"key":"1190_CR4","unstructured":"Avila, C.E., Evans, R.D.: The effect of temperature and overburden pressure upon the non-Darcy flow coefficient in porous media. In: Paper Presented at the 27th U.S. Symposium on Rock Mechanics (USRMS), Tuscaloosa, AL (1986). \n                    http:\/\/www.onepetro.org\/mslib\/app\/Preview.do?paperNumber=ARMA-86-0623&societyCode=ARMA\n                    \n                  . Accessed 5 May 2013"},{"key":"1190_CR5","doi-asserted-by":"publisher","DOI":"10.2118\/110838-pa","author":"MT Balhoff","year":"2009","unstructured":"Balhoff, M.T., Wheeler, M.F.: A predictive pore-scale model for non-Darcy flow in porous media. Soc. Pet. Eng. (2009). \n                    https:\/\/doi.org\/10.2118\/110838-pa","journal-title":"Soc. Pet. Eng."},{"key":"1190_CR6","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s11242-009-9388-z","volume":"81","author":"MT Balhoff","year":"2010","unstructured":"Balhoff, M.T., Mikelic, A., Wheeler, M.F.: Polynomial filtration laws for low Reynolds number flows through porous media. Transp. Porous Media 81, 35\u201360 (2010)","journal-title":"Transp. Porous Media"},{"key":"1190_CR7","volume-title":"Dynamics of Fluid in Porous Media","author":"J Bear","year":"1972","unstructured":"Bear, J.: Dynamics of Fluid in Porous Media. Elsevier, New York (1972)"},{"issue":"3","key":"1190_CR8","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1103\/PhysRev.94.511","volume":"94","author":"PL Bhatnagar","year":"1954","unstructured":"Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94(3), 511\u2013525 (1954)","journal-title":"Phys. Rev."},{"key":"1190_CR9","doi-asserted-by":"crossref","unstructured":"Bigno, Y., Oyeneyin, M.B., Peden, J.M.: Investigation of pore-blocking mechanism in gravel packs in the management and control of fines migration. In: Paper SPE 27342 Presented at the SPE Formation Damage Control Conference, Lafayette, Louisiana, 7\u201310 February (1994)","DOI":"10.2118\/27342-MS"},{"key":"1190_CR10","volume-title":"Transport Phenomena","author":"RB Bird","year":"1965","unstructured":"Bird, R.B., Stewart, W.E., Lightfoot, E.N.: Transport Phenomena. Wiley, New York (1965)"},{"key":"1190_CR11","unstructured":"Borujeni, A.T.: Multi-scale modeling of inertial flows through propped fractures. PhD dissertation, Louisiana State University (2013). \n                    https:\/\/digitalcommons.lsu.edu\/gradschool_dissertations\/3031\/\n                    \n                  . Accessed 17 Sept 2014"},{"key":"1190_CR13","first-page":"150","volume":"15","author":"PC Carman","year":"1937","unstructured":"Carman, P.C.: Fluid flow through granular beds. Trans. Inst. Chem. Eng. Lond. 15, 150\u2013166 (1937)","journal-title":"Trans. Inst. Chem. Eng. Lond."},{"key":"1190_CR14","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/0166-6622(87)80339-6","volume":"27","author":"CM Cerda","year":"1987","unstructured":"Cerda, C.M.: Mobilization of kaolinite fines in porous media. Colloids Surf. 27, 219\u2013241 (1987)","journal-title":"Colloids Surf."},{"key":"1190_CR15","unstructured":"Chukwudozie, C.P.: Pore-scale lattice Boltzmann simulations of inertial flows in realistic porous media: a first principle analysis of the Forchheimer relationship. MS Thesis, Louisiana State University (2011). \n                    https:\/\/digitalcommons.lsu.edu\/gradschool_theses\/3220\/\n                    \n                  . Accessed 25 Nov 2012"},{"key":"1190_CR16","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/s11242-010-9557-0","volume":"85","author":"F Civan","year":"2010","unstructured":"Civan, F.: Non-isothermal permeability impairment by fines migration and deposition in porous media including dispersive transport. Transp. Porous Media 85, 233\u2013258 (2010)","journal-title":"Transp. Porous Media"},{"key":"1190_CR17","volume-title":"Reservoir Formation Damage: Fundamentals, Modeling, Assessment, and Mitigation","author":"F Civan","year":"2007","unstructured":"Civan, F.: Reservoir Formation Damage: Fundamentals, Modeling, Assessment, and Mitigation, 2nd edn. Gulf Professional Publishing, Elsevier, Burlington (2007)","edition":"2"},{"key":"1190_CR18","doi-asserted-by":"crossref","unstructured":"Civan, F., Evans, R.D.: Non-Darcy flow coefficients and relative permeabilities for gas\/brine systems (1991)","DOI":"10.2118\/21516-MS"},{"key":"1190_CR19","doi-asserted-by":"publisher","DOI":"10.2118\/57755-pa","author":"JW Cooper","year":"1999","unstructured":"Cooper, J.W., Wang, X., Mohanty, K.K.: Non-Darcy-flow studies in anisotropic porous media. SPE J. (1999). \n                    https:\/\/doi.org\/10.2118\/57755-pa","journal-title":"SPE J."},{"issue":"10","key":"1190_CR20","doi-asserted-by":"publisher","first-page":"2145","DOI":"10.1021\/ie50526a021","volume":"45","author":"D Cornell","year":"1953","unstructured":"Cornell, D., Katz, D.L.: Flow of gases through consolidated porous media. Ind. Eng. Chem. 45(10), 2145\u20132152 (1953). \n                    https:\/\/doi.org\/10.1021\/ie50526a021","journal-title":"Ind. Eng. Chem."},{"issue":"1792","key":"1190_CR21","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1098\/rsta.2001.0955","volume":"360","author":"D d\u2019Humieres","year":"2002","unstructured":"d\u2019Humieres, D., Ginzburg, I., Krafczyk, M., Lallemand, P., Luo, L.S.: Multiple-relaxation-time lattice Boltzmann models in three dimensions. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 360(1792), 437\u2013451 (2002). \n                    https:\/\/doi.org\/10.1098\/rsta.2001.0955","journal-title":"Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci."},{"key":"1190_CR22","unstructured":"Dong, H.: Micro CT Imaging and Pore Network Extraction. (PhD), Imperial College, London (2007)"},{"key":"1190_CR23","doi-asserted-by":"publisher","DOI":"10.2118\/14206-pa","author":"RD Evans","year":"1987","unstructured":"Evans, R.D., Hudson, C.S., Greenlee, J.E.: The effect of an immobile liquid saturation on the non-Darcy flow coefficient in porous media. SPE Prod. Eng. (1987). \n                    https:\/\/doi.org\/10.2118\/14206-pa","journal-title":"SPE Prod. Eng."},{"key":"1190_CR24","doi-asserted-by":"publisher","DOI":"10.2118\/6827-pa","author":"A Firoozabadi","year":"1979","unstructured":"Firoozabadi, A., Katz, D.L.: An analysis of high-velocity gas flow through porous media. J. Pet. Technol. (1979). \n                    https:\/\/doi.org\/10.2118\/6827-pa","journal-title":"J. Pet. Technol."},{"key":"1190_CR25","first-page":"45","volume":"1781","author":"P Forchheimer","year":"1901","unstructured":"Forchheimer, P.: Wasserbewewegung Durch Boden. Z. Ver. Deutsch, Ing. 1781, 45 (1901)","journal-title":"Z. Ver. Deutsch, Ing."},{"key":"1190_CR26","unstructured":"French, L.B.: Multiscale modeling of particle transport in petroleum reservoirs. MS Thesis, Louisiana State University (2015). \n                    https:\/\/digitalcommons.lsu.edu\/gradschool_theses\/1795\/\n                    \n                  . Accessed 6 Aug 2017"},{"key":"1190_CR27","first-page":"1","volume":"12168","author":"GA Gabriel","year":"1983","unstructured":"Gabriel, G.A., Inamdar, G.R.: An experimental investigation of fines migration in porous media. J. Soc. Pet. (SPE) 12168, 1\u201312 (1983)","journal-title":"J. Soc. Pet. (SPE)"},{"key":"1190_CR28","doi-asserted-by":"publisher","DOI":"10.2118\/4706-pa","author":"J Geertsma","year":"1974","unstructured":"Geertsma, J.: Estimating the coefficient of inertial resistance in fluid flow through porous media. Soc. Pet. Eng. J. (1974). \n                    https:\/\/doi.org\/10.2118\/4706-pa","journal-title":"Soc. Pet. Eng. J."},{"issue":"6","key":"1190_CR29","first-page":"847","volume":"22","author":"C Gruesbeck","year":"1982","unstructured":"Gruesbeck, C., Collins, R.E.: Entrainment and deposition of fine particles in porous media. SPE J. 22(6), 847\u2013856 (1982)","journal-title":"SPE J."},{"key":"1190_CR30","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1021\/ie50725a003","volume":"62","author":"JP Herzig","year":"1970","unstructured":"Herzig, J.P., Leclerc, D.M., Goff, P.L.: Flow of suspensions through porous media\u2014application to deep filtration. Ind. Eng. Chem. 62, 8\u201335 (1970)","journal-title":"Ind. Eng. Chem."},{"key":"1190_CR31","unstructured":"Jones, S.C.: Using the inertial coefficient, B, to characterize heterogeneity in reservoir rock. In: Paper Presented at the SPE Annual Technical Conference and Exhibition, Dallas, Texas (1987). \n                    http:\/\/www.onepetro.org\/mslib\/app\/Preview.do?paperNumber=00016949&societyCode=SPE\n                    \n                  . Accessed 13 Oct 2012"},{"key":"1190_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9074-7","volume-title":"Migrations of Fines in Porous Media","author":"K Khilar","year":"1998","unstructured":"Khilar, K., Fogler, H.: Migrations of Fines in Porous Media. Kluwer Academic Publishers, Dordrecht (1998)"},{"key":"1190_CR33","first-page":"271","volume":"136","author":"J Kozeny","year":"1927","unstructured":"Kozeny, J.: Ueber kapillare Leitung des Wassers im Boden. Stizungs-ber Akad Wiss Wien 136, 271\u2013306 (1927)","journal-title":"Stizungs-ber Akad Wiss Wien"},{"issue":"10","key":"1190_CR34","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1080\/00986440490464200","volume":"191","author":"H Lao","year":"2004","unstructured":"Lao, H., Neeman, H.J., Papavassiliou, D.V.: A pore network model for the calculation of non-Darcy flow coefficients in fluid flow through porous media. Chem. Eng. Commun. 191(10), 1285\u20131322 (2004)","journal-title":"Chem. Eng. Commun."},{"key":"1190_CR35","doi-asserted-by":"publisher","unstructured":"Lemley, E.C., Papavassiliou, D.V., Neeman, H.J.: Non-Darcy flow pore network simulation: development and validation of a 3D model. In: ASME. Fluids Engineering Division Summer Meeting, Volume 2: Fora, Parts A and B, pp.1331\u20131337 (2007). \n                    https:\/\/doi.org\/10.1115\/fedsm2007-37278","DOI":"10.1115\/fedsm2007-37278"},{"key":"1190_CR36","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1007\/s11242-018-1024-3","volume":"122","author":"Q Li","year":"2018","unstructured":"Li, Q., Prigiobbe, V.: Numerical simulations of the migration of fine particles through porous media. Transp. Porous. Med. 122, 745 (2018). \n                    https:\/\/doi.org\/10.1007\/s11242-018-1024-3","journal-title":"Transp. Porous. Med."},{"key":"1190_CR37","doi-asserted-by":"publisher","DOI":"10.2118\/95-10-05","author":"X Liu","year":"1995","unstructured":"Liu, X., Civan, F., Evans, R.D.: Correlation of the non-Darcy flow coefficient. J. Can. Pet. (1995). \n                    https:\/\/doi.org\/10.2118\/95-10-05","journal-title":"J. Can. Pet."},{"issue":"2","key":"1190_CR38","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.cageo.2009.08.004","volume":"36","author":"EW Llewellin","year":"2010","unstructured":"Llewellin, E.W.: LBflow: an extensible lattice Boltzmann framework for the simulation of geophysical flows. Part I: theory and implementation. Comput. Geosci. 36(2), 115\u2013122 (2010). \n                    https:\/\/doi.org\/10.1016\/j.cageo.2009.08.004","journal-title":"Comput. Geosci."},{"key":"1190_CR39","doi-asserted-by":"publisher","first-page":"122","DOI":"10.2118\/26150-PA","volume":"12","author":"H Ma","year":"1997","unstructured":"Ma, H., Ruth, D.W.: Physical explanations of non-Darcy effects for fluid flow in porous media. SPE Form. Eval. 12, 122 (1997). \n                    https:\/\/doi.org\/10.2118\/26150-pa","journal-title":"SPE Form. Eval."},{"key":"1190_CR40","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1017\/S0022112091001258","volume":"222","author":"CC Mei","year":"1991","unstructured":"Mei, C.C., Auriault, J.-L.: The effect of weak inertia on flow through a porous medium. J. Fluid Mech. 222, 647\u2013663 (1991)","journal-title":"J. Fluid Mech."},{"key":"1190_CR41","doi-asserted-by":"crossref","unstructured":"Morita, N., Boyd, P.A.: Typical sand production problems: case studies and strategies for sand control. In: Paper SPE 22739, Presented at the 66th SPE Annual Technical Conference and Exhibition, Dallas, Texas, USA, October 6\u20139 (1991)","DOI":"10.2118\/22739-MS"},{"key":"1190_CR42","doi-asserted-by":"publisher","first-page":"144","DOI":"10.2118\/7007-PA","volume":"31","author":"TW Muecke","year":"1979","unstructured":"Muecke, T.W.: Formation fines and factors controlling their movement in porous media. J. Pet. Technol. 31, 144\u2013150 (1979)","journal-title":"J. Pet. Technol."},{"key":"1190_CR43","doi-asserted-by":"crossref","unstructured":"Nabzar, L., Chauveteau, G., Roque, C.: A new model for formation damage by particle retention. In: Paper SPE 1283 Presented at the SPE Formation Damage Control Symposium, Lafayette, Louisiana, USA, 14\u201315 February (1996)","DOI":"10.2118\/31119-MS"},{"key":"1190_CR45","doi-asserted-by":"publisher","first-page":"898","DOI":"10.1016\/j.compfluid.2005.03.008","volume":"35","author":"C Pan","year":"2006","unstructured":"Pan, C., Luo, L.S., Miller, C.T.: An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Comput. Fluids 35, 898 (2006)","journal-title":"Comput. Fluids"},{"issue":"6","key":"1190_CR44","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1209\/0295-5075\/17\/6\/001","volume":"17","author":"YH Qian","year":"1992","unstructured":"Qian, Y.H., D\u2019Humi\u00e8res, D., Lallemand, P.: Lattice BGK models for Navier\u2013Stokes equation. EPL (Europhys. Lett.) 17(6), 479 (1992)","journal-title":"EPL (Europhys. Lett.)"},{"issue":"7","key":"1190_CR46","doi-asserted-by":"publisher","first-page":"1553","DOI":"10.1016\/0009-2509(87)80160-4","volume":"42","author":"SD Rege","year":"1987","unstructured":"Rege, S.D., Fogler, H.S.: A network model for straining dominated capture in porous media. Chem. Eng. Sci. 42(7), 1553 (1987)","journal-title":"Chem. Eng. Sci."},{"issue":"3","key":"1190_CR47","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/BF01063962","volume":"7","author":"D Ruth","year":"1992","unstructured":"Ruth, D., Ma, H.: On the derivation of the Forchheimer equation by means of the averaging theorem. Transp. Porous Media 7(3), 255\u2013264 (1992). \n                    https:\/\/doi.org\/10.1007\/bf01063962","journal-title":"Transp. Porous Media"},{"key":"1190_CR49","volume-title":"Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers","author":"MC Sukop","year":"2007","unstructured":"Sukop, M.C., Thorne, D.T.J.: Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers. Springer, Berlin (2007)"},{"key":"1190_CR50","doi-asserted-by":"publisher","first-page":"799","DOI":"10.2118\/147-PA","volume":"14","author":"MR Tek","year":"1962","unstructured":"Tek, M.R., Coats, K.H., Katz, D.L.: The effect of turbulence on flow of natural gas through porous reservoirs. J. Pet. Technol. 14, 799\u2013806 (1962)","journal-title":"J. Pet. Technol."},{"issue":"1","key":"1190_CR51","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1023\/A:1006558926606","volume":"31","author":"F Thauvin","year":"1998","unstructured":"Thauvin, F., Mohanty, K.K.: Network modeling of non-Darcy flow through porous media. Transp. Porous Med. 31(1), 19\u201337 (1998). \n                    https:\/\/doi.org\/10.1023\/a:1006558926606","journal-title":"Transp. Porous Med."}],"container-title":["Transport in Porous Media"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11242-018-1190-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11242-018-1190-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11242-018-1190-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,11,9]],"date-time":"2019-11-09T19:04:17Z","timestamp":1573326257000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11242-018-1190-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,10]]},"references-count":49,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["1190"],"URL":"https:\/\/doi.org\/10.1007\/s11242-018-1190-3","relation":{},"ISSN":["0169-3913","1573-1634"],"issn-type":[{"value":"0169-3913","type":"print"},{"value":"1573-1634","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,11,10]]},"assertion":[{"value":"10 February 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 October 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 November 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}