Journal of
Petroleum and Gas Engineering

  • Abbreviation: J. Petroleum Gas Eng.
  • Language: English
  • ISSN: 2141-2677
  • DOI: 10.5897/JPGE
  • Start Year: 2010
  • Published Articles: 107

Review

Review of studies on pore-network modeling of wettability effects on waterflood oil recovery

Onuoha F. Wopara
  • Onuoha F. Wopara
  • School of Chemical and Metallurgical Engineering, University of the Witwatersrand, Johannesburg, P/Bag 3, Wits 2050, South Africa.
  • Google Scholar
Sunny E. Iyuke
  • Sunny E. Iyuke
  • School of Chemical and Metallurgical Engineering, University of the Witwatersrand, Johannesburg, P/Bag 3, Wits 2050, South Africa.
  • Google Scholar


  •  Received: 14 April 2015
  •  Accepted: 23 May 2018
  •  Published: 30 June 2018

References

Ahmadpour M, Siavashi M, Doranehgard MH (2016). Numerical simulation of two-phase flow in fractured porous media using streamline simulation and IMPES methods and comparing results with a commercial software. Journal of Central South University 23:2630-2637.
Crossref

 

Aidun CK, Clausen JR (2010). Lattice Boltzmann method for complex flows. Annual Review of Fluid Mechanics 42:439-472.
Crossref

 
 

Al-Dhahli A, Geiger S, vanDijke MIJ (2011). Three-phase pore-network modelling for mixed-wet carbonate reservoirs, paper SPE 147991 presented at SPE Reservoir Characterization and Simulation Conference and Exhibition, Society of Petroleum Engineering, Abu Dhabi.

 
 

Al-Dhahli ARS, Van Dijke R, GeigerBoschung S (2013). Accurate modelling of pore-scale films and layers for three-phase flow processes in clastic and carbonate rocks with arbitrary wettability. Transport in Porous Media 98:259-286.
Crossref

 
 

Al-Futaisi A, Patzek TW (2003). Impact of wettability alteration on two-phase flow characteristics of sandstones: a quasi-static description. Water Research Resources 39:1042-1054.
Crossref

 
 

Alhammadi AM, Alratrout A, Singh K, Bijeljic B, Blunt MJ (2017). In situ characterization of mixed-wettability in a reservoir rock at subsurface conditions. Scientific Reports 7:10753.
Crossref

 
 

Al-Kharusi AS, Blunt MJ (2008). Multiphase flow predictions from carbonate pore space images using extracted network models. Water Resource Research 44:W06S01.
Crossref

 
 

Al-Raoushi RI (2009). Impact of wettability on pore-scale characteristics of residual non-aqueous phase liquids. Environmental Science Technology 43(13):4796-4801.
Crossref

 
 

Al-Raoushi RI, Willson CS (2005). A pore-scale investigation of a multiphase porous media system. Journal of Contaminant Hydrology, 77:67-89.
Crossref

 
 

Ameri A, Farajzadeh R, Kaveh NS, Suicmez S, Wof KH, Bruining H (2015). Effect of matrix wettability CO2 assisted gas-oil gravity drainage in naturally fractured reservoirs. 77th EAGE Conference and Exhibition 2015. http://dx.doi: 10.3997/2214-4609.201412723
Crossref

 
 

Anderson WG (1987a). Wettability literature survey-part 4: the effects of wettability on capillary pressure. Journal of Petroleum Technology 39:1283-1300.
Crossref

 
 

Anderson WG (1987b). Wettability literature survey-part 5: the effects of wettability on relative permeability. Journal of Petroleum Technology 39:1453-1468.
Crossref

 
 

Andrew M, Bijeljic B, Blunt M (2015). Reservoir condition pore-scale imaging of multiple fluid phases using X-ray microtomography. Journal of Visualized Experiments 96:52440. 
Crossref

 
 

Arns CH, Knackstedt MA, Pinczewski WV, Martys NS (2004). Virtual permeametry on microtomographic images. Journal Petroleum Science Engineering 45(1-2):41-46.
Crossref

 
 

Bauer D, Youssef S, Fleury M, Bekri S, Rosenberg E, Vizika O (2012). Improving the estimations of petrophysical transport behavior of carbonate rocks using a dual pore network approach combined with computed microtomography. Transport Porous Media 94:505-524.
Crossref

 
 

Bear J (1953). Modeling flow and contaminant transport in fractured rocks. In: Bear J, Tsang C, deMarsily G. editions. Flow and contaminant transport in fractured rocks. San Diego, CA: Academic Press; 1993.

 
 

Berkowitz B, Balberg I (1993). Percolation theory and its application to groundwater hydrology. Water Resource Research 29(34):775-794.
Crossref

 
 

Blunt MJ (1997). Pore level modeling of the effects of wettability. Society of Petroleum Engineering Journal 2(4):494-510.
Crossref

 
 

Blunt MJ (1998). Physically-based network modeling of multiphase flow in intermediate-wet porous media. Journal of Petroleum Science Engineering 20:117-125.
Crossref

 
 

Blunt MJ (2001). Flow in porous media – pore-network models and multiphase flow. Current Opinion in Colloid and Interface Science 6(3):197-207.
Crossref

 
 

Blunt MJ, King P (1991). Relative permeabilities from two- and three-dimensional pore-scale network modeling. Transport in Porous Media 6(4):407-433.
Crossref

 
 

Blunt MJ, Bijeljic B, Dong H, Gharbi O, Iglauer S, Mostaghimi P, Adriana PA, Pentland C (2013). Pore-scale imaging and modelling. Advances in Water Resource. 51:197-216.
Crossref

 
 

Buckley JS, Liu Y, Monsterleet I (1998). Mechanisms of wetting alteration by crude oils. Society of Petroleum Engineers Journal 3:54-61.
Crossref

 
 

Catalan LJ, Dullien FA, Chatzis I (1994). The effects of wettability and heterogeneities on the recovery of waterflood residual oil with low pressure inert gas injection assisted by gravity drainage. Society of Petroleum Engineers Advanced Technology Series 2(02):140-149.

 
 

Caubit C, Bertin H, Hamon G (2004). Three-phase flow in porous media: wettability effect on residual saturations during gravity drainage and tertiary waterflood. Presented in part at SPE Annual Technical Conference and Exhibition held in Houston Texas, USA, September 2004.
Crossref

 
 

Chatzis I, Dullien FAL (2009). Well flow models for various numerical methods. International Journal of Numerical Analysis and Modeling: Computing and Information 6(3):375-388.

 
 

Chen SY, Doolen GD (1998). Lattice Boltzmann method for fluid flows. Annual review of fluid mechanics 30:329-364.
Crossref

 
 

Coles ME, Spanne P, Muegge EL, Jones, KW (1994). Computed micro-tomograpy of reservoir core samples. Proceedings of the International SCA Meeting. Stavanger.

 
 

Costa TB, Kennedy K, Peszynska M (2018). Hybrid three-scale model for evolving pore-scale geometries. Computational Geosciences 2018:1-26 doi: 10.1007/s10596-018-9733-9
Crossref

 
 

DiCarlo DA, Sahni A, Blunt MJ (2000). The effect of wettability on three-phase relative permeability. Transport in Porous Media 39:347-66.
Crossref

 
 

Dillard LA, Blunt MJ (2000). Development of a pore network simulation model to study non-aqueous phase liquid dissolution. Water Resources Research 36(2):439-454.
Crossref

 
 

Ding D, Farah N, Bourbiaux B, Wu Y, Mestiri I (2017). Simulation of matrix-fracture interaction in low-permeability fractured unconventional reservoirs. In Proceedings of the SPE Reservoir Simulation Conference, Montgomery, TX, USA, 20–22 February 2017.
Crossref

 
 

Dixit AB, Buckley JS, McDougall SR, Sorbie KS (2000). Empirical measures of wettability in porous media and the relationship between them derived from pore-scale modeling. Transport in Porous Media 40:27-54.
Crossref

 
 

Dixit AB, McDougall SR, Sorbie KS, Buckley JS (1999). Pore-scale modeling of wettability effects and their influence on oil recovery. SPE Reservoir Evaluation Engineering 2:25-36.
Crossref

 
 

Dodd N, Marathe R, Middleton J, Fogden A, Carnerup A, Knackstedt M, Mogensen K, Marquez X, Frank S, Bounoua N, Noman R (2014). Pore-scale imaging of oil and wettability in native-state, mixed-wet reservoir carbonates. Paper presented at the International Petroleum Technology Conference, Doha, Qatar.
Crossref

 
 

Dong H, Fjeldstad S, Alberts L, Roth S, Bakke S, Øren E (2008). Pore network on carbonate: A comparative study of different micro-CT network extraction methods. Paper SCA2008-31 presented at International Symposium of the Society of Core Analysts, Abu Dhabi.

 
 

Dunsmoir JH, Ferguson SR, D'Amico KL, Stokes JP (1991). X-ray microtomography: a new tool for the characterization of porous media. SPE 22860. In: Proceedings of the 1991 SPE Annual Technical Conference and Exhibition, Dallas.

 
 

Farrad S, Mugisa J, Alahdal HA, Idris AK, Kisiki NH, Kabenge I (2016). Effect of wettability on oil recovery and breakthrough time for immiscible gas flooding. Journal of Petroleum Science and Technology 34(20):1705-1711.
Crossref

 
 

Fassi-Fihri O, Robin M, Rosenberg E (1995). Wettability studies at the pore level: A new approach by the use of Cryo-Scanning Electron Microscopy. SPE Formation Evaluation 10(01):11-19. 
Crossref

 
 

Fatt I (1956a). The network model of porous media I. Capillary pressure characteristics. Trans AIME 207:144-159.

 
 

Fatt I (1956b). The network model of porous media II. Dynamic properties of a single size tube network. Trans AIME 207:160-163.

 
 

Fatt I (1956c). The network model of porous media III. Dynamic properties of networks with tube radius distribution. Trans AIME 207:164-181.

 
 

Fenwick DH, Blunt MJ (1998). Three-dimensional modeling of three-phase imbibition and drainage. Advanced Water Research 21(2):121-143.
Crossref

 
 

Gharbi O, Blunt MJ (2012). The impact of wettability and connectivity on relative permeability in carbonates: A pore network modeling analysis. Water Resources Research 48(12).
Crossref

 
 

Gibrata MA, VanDjike R, Geiger S (2014). Pore scale modeling and its advantage for enhanced oil recovery of near miscible three-phase flow WAG flooding in carbonate reservoir. International Petroleum Technology Conference 10-12 December, Kuala Lumpur, Malaysia. 
Crossref

 
 

Gong K, Shao S, Liu H, Wang B, Tan SK (2016). Two-phase SPH simulation of fluid–structure interactions. Journal of Fluids and Structures 65:155-179.
Crossref

 
 

Guo Z, Zhao TS (2002). Lattice Boltzmann model for incompressible flows through porous media. Physical Review E 66(036304).
Crossref

 
 

Hao L, Cheng P (2010). Pore-scale simulations on relative permeabilities of porous media by lattice Boltzmann method. International Journal of Heat and Mass Transfer 53:1908-1913.
Crossref

 
 

Hazlett RD (1995). Simulation of capillary-dominated displacements in micro-tomographic images of reservoir rocks. Transport in Porous Media 20:21-35.
Crossref

 
 

Hui MH, Blunt MJ (2000). Effects of wettability on three-phase flow in porous media. The Journal of Physical Chemistry B 104:3833-3845.
Crossref

 
 

Ioannidis MA, Chatzis I (2000). A dual-network model of pore structure for vuggy carbonates. Paper SCA 2000-09-(1) presented at International Symposium of the Society of Core Analysts, Abu Dhabi.

 
 

Jackson MD, Valvatne PH, Blunt MJ (2003). Prediction of wettability variation and its impact on flow using pore- to reservoir-scale simulations. ournal of Petroleum Science and Engineering 39:231-246.

 
 

Jadhunandan PP (1990). Effects of brine composition, crude oil and ageing conditions on wettability and oil recovery. PhD Thesis, New Mexico Inst. of Mining and Technology, New Mexico.

 
 

Jadhunandan PP, Morrow NR (1995). Effect of wettability on waterflood recovery for crude-oil brine rock systems. SPE Reservoir Engineering 10:40-46.
Crossref

 
 

Jafari I, Masihi M, Zarandi MN (2017). Numerical simulation of counter-current spontaneous imbibition in water-wet fractured porous media: Influences of water injection velocity, fracture aperture, and grains geometry. Physics of Fluids 29:113305. 
Crossref

 
 

Jerauld GR, Salter SJ (1990). The effect of pore-structure on hysteresis in relative permeability and capillary pressure: pore-level modeling. Transportation in Porous Media 5:103-130.
Crossref

 
 

Jiang Z, Wu K, Couples GS, van Dijke MIJ, Sorbie KS, Ma J (2007). Efficient extraction of networks from three-dimensional porous media. Water Resources Research 43(W12S03):17.

 
 

Jiang Z, van Dijke R, Geiger S, Couples G, Wood R (2012). Extraction of fractures from 3D rock images and network modelling of multi-phase flow in fracture-pore systems. SCA2012-57, Paper prepared for presentation at the International Symposium of the Society of Core Analysts held in Aberdeen, Scotland, UK, 27-30 August.

 
 

Ju B, Fan T (2012).Wettability Alteration and Its Effects on Production in Water Flooding. Petroleum Science and Technology 30(16):1692-1703. 
Crossref

 
 

Karabakal U, Bagci S (2004). Determination of wettability and its effect on waterflood performance in limestone medium. Energy Fuels 18(2):438-449.
Crossref

 
 

Kallel W, Wood R, van Dijke MIJ, Sorbie KS, Jiang Z, Harland S (2015). Modelling the effect of wettability distributions on oil recovery from microporous carbonate reservoirs. Advances in Water Resources 3:1-21. 
Crossref

 
 

Kang Q, Zhang D, Chen S (2002). Unified lattice Boltzmann method for flow in multiscale porous media. Physical Review E 66(5):056307.
Crossref

 
 

Karadimitriou NK, Hassanizadeh SM (2012). A review of micromodels and their use in two-phase flow studies. Vadose Zone Journal 11(3). 
Crossref

 
 

Khorshidian H, James LA, Butt SD (2017). Pore-level study of the effect of miscibility and wettability on oil recovery during gas assisted gravity drainage. SCA2017-057 presented at the International Symposium of the Society of Core Analysts held in Vienna, Austria, 27 August - 1 September 2017

 
 

Klug-Santner B (2017). EOR: How to Enhance Oil Recovery?

View (Accessed March 15, 2018)

 
 

Knackstedt M, Arns C, Ghous A, Sakellariou A, Senden T, Sheppard A (2006). 3D imaging and flow characterization of the pore space of carbonate core samples. Paper SCA2006-P78 presented at 20th International Symposium of the Society of Core Analysts, Trondheim, Norway.

 

Koplik J, Redner S, Wilkinson D (1998). Transport and dispersion in random networks with percolation disorder. Physical Review A 37: 2619-2636.
Crossref

 

Kovscek AR, Wong H, Radke CJ (1993). A pore-level scenario for the development of mixed wettability in oil reservoirs. American Institute of Chemical Engineers Journal 39:1072-1085.
Crossref

 
 

Lenormand R, Zarcone C, Sarr A (1983). Mechanisms of the displacement of one fluid by another in a network of capillary ducts. Journal Fluid Mechanism 135:337-353.
Crossref

 
 

Leu L, Georgiadis A, Blunt MJ, Busch A, Bietier P, Schweinar K, Liebi M, Menzel A, Ott H (2016). Multiscale description of shale pore systems by scanning SAXS and WAXS microscopy. Energy Fuels 30:10282-1029.
Crossref

 
 

Liou M-F (2005). A Numerical Study of Transport Phenomena in Porous Media. PhD Thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University.

 
 

Lowery MI, Miller CT (1995). Pore-scale modeling of non-wetting-phase residual in porous media. Water Resources Research 31:455-473.
Crossref

 
 

Maroufi P, Ayatollahi S, Rahmanifard H, Jahanmiri A, Riazi M (2013). Experimental investigation of secondary and tertiary oil recovery from fractured porous media. Journal of Petroleum Exploration and Product Technology 3(3):179-188. 
Crossref

 
 

MartysNS, Chen H (1996). Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. Physical Review E 53(1):743-750.
Crossref

 
 

McDougall SR, Sorbie KS (1995). The impact of wettability on waterflooding - pore-scale simulation. SPE Reservoir Engineering 10:208-213.
Crossref

 
 

McDougall SR, Sorbie KS (1997). The application of network modeling techniques to multiphase flow in porous media. Petroleum Geoscience 3:161-169.
Crossref

 
 

Meakin P, Tartakovsky AM (2009). Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media. Review of Geophysics 47: RG3002.
Crossref

 
 

Meakin P, Tartakovsky A, Scheibe T, Tartakovsky D, Redden G, Long PE, Brooks SC, Xu Z (2007). Particle methods for simulation of subsurface multiphase fluid flow and biogeochemical processes. Journal of Physics: Conference Series 7: 012047. 
Crossref7

 
 

Meshioye O, Mackay E, Chukuwezi M (2010). Optimization of water flooding using smart well technology. Paper SPE 136996 presented at the 34th Annual SPE International Conference and Exhibition held in Tinapa – Calabar, Nigeria, 31 July–7 August.

 
 

Miyan M, Pant PK (2015). Flow and diffusion equations for fluid flow in porous rocks for the multiphase flow phenomena. American Journal of Engineering Research 4(7):139-148.

 
 

Morrow NR (1990). Wettability and its effects on oil recovery. Journal of Petroleum Technology 42:1476-1484.
Crossref

 
 

Morrow NR, Mason G (2001). Recovery of oil by spontaneous imbibition. Current Opinion in Colloid and Interface Science 6:321-337.
Crossref

 
 

Noetinger B, Roubinet D, DeDreuzy J, Russian A, Gouze P, LeBorgne T, Dentz M, Delay F (2016). Random walk methods for modeling hydrodynamic transport in porous and fractured media from pore to reservoir scale. Transport in Porous Media 115(2):345-385.
Crossref

 
 

Nunes JP, Blunt MJ, Bijeljic B (2016). Pore-scale simulation of carbonate dissolution in micro-CT images. Journal of Geophysics Research in Solid Earth 121:558-576. 
Crossref

 
 

Pan C, Luo LS, Miller CT (2006). An evaluation of lattice Boltzmann schemes for porous media flow simulation. Computers and Fluids 35(8-9):898-909.
Crossref

 
 

Parsaei R, Chatzis I (2011). Experimental investigation of production characteristics of the gravity-assisted inert gas injection (GAIGI) process for recovery of waterflood residual oil: Effects of wettability heterogeneity. Energy Fuels 25(5):2089-2099.
Crossref

 
 

Raeesi B, Piri M (2009). The effects of wettability and trapping on relationships between interfacial area, capillary pressure and saturation in porous media: A pore-scale network modeling approach. Journal of Hydrology 376(3):337-352.
Crossref

 
 

Raeini AQ, Bijeljic B, Blunt MJ (2017). Generalized network modeling: Network extraction as a coarse-scale discretization of the void space of porous media. Physical Review E 96:013312.
Crossref

 
 

Raeini AQ, Blunt MJ, Bijeljic B (2012). Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method. Journal of Computational Physics 231(17):5653-5668. 
Crossref

 
 

Raoof A, Hassanizadeh SM (2010). A new method for generating pore-network models of porous media. Transportation in Porous Media 81:391-407. 
Crossref

 
 

Regaieg M, Moncorgé A (2017). Adaptive dynamic/quasi-static pore network model for efficient multiphase flow simulation. Computational Geosciences 21(4):795-806.
Crossref

 
 

Regaieg M, Moncorge A (2016). Improving the computational efficiency of a dynamic pore network model - A hybrid approach for a better performance. Paper presented at ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery, 29 August.
Crossref

 
 

Rezaveisi M, Rostami B, Kharrat R, Ayatollahi Sh, Ghotbi C (2010). Experimental investigation of tertiary oil gravity drainage in fractured porous media. Special Topics & Reviews in Porous Media — An International Journal 1(2):179-191.

 
 

Rezaveisi M, Ayatollahi S, Rostami B (2012). Experimental investigation of matrix wettability effects on water imbibition in fractured artificial porous media. Journal of Petroleum Science and Engineering 86:165. doi.org/10.1016/j.petrol.2012.03.004
Crossref

 
 

Rostami B, Kharrat R, Ghotbi C, Tabrizy VA (2008). Wettability effect on oil recovery and residual saturation during forced gravity drainage and secondary waterflood. Paper presented at the 10th International Symposium of Wettability and SCA 2008 held in Abu Dhabi, UAE.

 
 

Ruidiaz EM, Winter A, Trevisan OV (2018). Oil recovery and wettability alteration in carbonates due to carbonate water injection. Journal of Petroleum Exploration and Product Technology 8:249-258.
Crossref

 
 

Ryazanov AV, van Dijke MIJ, Sorbie KS (2009). Two-phase pore-network modelling: existence of oil layers during water invasion. Transport in Porous Media 80:79-99.
Crossref

 
 

Ryazanov A, Sorbie K, van Dijke M (2014). Structure of residual oil as a function of wettability using porenetwork modelling. Advances in Water Resources 63(11).
Crossref

 
 

Saedi B, Ayatollahi S, Masihi M (2015). Free fall and controlled gravity drainage processes in fractured porous media: Laboratory and modelling investigation. The Canadian Journal of Chemical Engineering 93(12): 2286-2297. 
Crossref

 
 

Sahimi M (1995). Flow and transport in porous media and fractured rock: from classical methods to modern approaches. Weinheim, VHC.

 
 

Salathiel RA (1973). Oil recovery by surface film drainage in mixed-wettability rocks. Journal Petroleum Technology 25:1216-1224.
Crossref

 
 

Sallès J, Thovert JF, Adler PM (1993). Reconstructed porous media and their application to fluid flow and solute transport. Journal of Contaminant Hydrology 13(1-4): 3-22. 
Crossref

 
 

Shadloo MS, Oger G, Touzé DLe (2016). Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: Motivations, current state, and challenges. Computers and Fluids 136:11-34. 
Crossref

 
 

Shan X, Chen H (1993). Lattice Boltzmann model for simulating flows with multiple phases and components. Physical Review E 47:1815-1819.
Crossref

 
 

Sok R, Varslot T, Ghous A, Latham S, Sheppard A, Knackstedt M (2010). Pore scale characterization of carbonates at multiple scales: Integration of micro-CT BSEM and FIBSEM. Petrophysics 51(6): 379-387.

 
 

Sok RM, Knackstedt MA, Sheppard AP, Pinczewski WV, Lindquist WB, Venkatarangan A, Paterson L (2002). Direct and stochastic generation of network models from tomographic images; effect of topology on two phase flow properties. Transport in Porous Media 46:345-372. 
Crossref

 
 

Suicmez VS, Piri M, Blunt MJ (2008). Effects of wettability and pore-level displacement on hydrocarbon trapping. Advances in Water Research 31(3):503-512.
Crossref

 
 

Sun S, Jenkins EW, Chen Z, Geiser J (2012a). Mathematical and numerical modeling of flow and transport. Journal of Applied Mathematics 2011: Article ID 901380, pp. 1-4. 
Crossref

 
 

Sun T, Mehmani Y, Balhoff MT (2012b). Hybrid multi-scale modeling through direct substitution of pore-scale models into near-well reservoir simulators. Energy Fuels 26(9):5828-5836. 
Crossref

 
 

Tang Y, Valocchi AJ, Werth CJ (2015). A hybrid pore‐scale and continuum‐scale model for solute diffusion, reaction, and biofilm development in porous media. Water Resources Research 51(3):1846-1859. 
Crossref

 
 

Tartakovsky AM, Meakin P (2006). Pore-scale modeling of immiscible and miscible flows using smoothed particle hydrodynamics. Advances in Water Resources 29:1464 -1478. 

 
 

Tartakovsky AM, Meakin P, Scheibe TD, West RME (2007a). Simulations of reactive transport and precipitation with smoothed particle hydrodynamics. Journal of Computational Physics 222:654-672.
Crossref

 
 

Tartakovsky AM, Meakin P, Scheibe TD, Wood BD (2007b). A smoothed particle hydrodynamics model for reactive transport and mineral precipitation in porous and fractured porous media, Water Resources Research 43:W05437. 
Crossref

 
 

Thibodeaux TW, Sheng Q, Karsten E, Thompson KE (2015). Rapid estimation of essential porous media properties using image-based pore-scale network modeling. Industrial and Engineering Chemistry Research 54(16):4474-4486. 
Crossref

 
 

Treiber LE, Archer DL, Owens WW (1971). A laboratory evaluation of the wettability of fifty oil-producing reservoirs. Society of Petroleum Engineers Journal 12:531-540.
Crossref

 
 

Tuller M, Or D, Dudley IM (1999). Adsorption and capillary condensation in porous media: liquid retention and interfacial configurations in angular pores. Water Resources Research 35(7):1949-1964.
Crossref

 
 

Valvatne PH, Blunt MJ (2004). Predictive pore‐scale modeling of two‐phase flow in mixed wet media. Water Resources Research 40(7):W07406.
Crossref

 
 

Valvatne PH, Piri M, Lopez X, Blunt MJ (2005). Predictive pore-scale modeling of single and multiphase flow. Transport in Porous Media 58(1): 23-41. 
Crossref

 
 

Wang P, Zhang X, Lu X, Zheng, W, Liu Q (2016). A dual percolation model for predicting the connectivity of fractured porous Media. Water Resources 43:95-110.
Crossref

 
 

Wopara OF (2016). Pore network modelling of wettability effects on waterflood oil recovery from Agbada sandstone formation in the Niger Delta. PhD thesis, University of the Witwatersrand, Johannesburg, South Africa.

 
 

Wopara OF, Iyuke SE (2017). Fluid transport properties and characterization of wettability trends of Agbada sandstone petroleum reservoir. Petroleum and Coal 59(5):567-581.

 
 

Wopara FO, Iyuke SE (2018). Prediction of flow and transport properties in porous media. International Journal of Oil, Gas and Coal Technology 17(3):284-303.
Crossref

 
 

Wu K, Li X, Wang X, Yan B, Ren M (2013). Predicting the method of oil recovery in the gas-assisted gravity drainage process. Petroleum Science and Technology 31(23):2527-2533.
Crossref

 
 

Xu Y, Li Q, King HE (2017). Modeling oil recovery for mixed macro- and micro-pore carbonate grainstones. Scientic Reports 7:9780. 
Crossref

 
 

Zendehboudi S, Rezaei N, Chatzis I (2011). Effect of wettability in free-fall and controlled gravity drainage in fractionally wet porous media with fractures. Energy Fuels Article 25(10):4452-4468, Zendehboudi S, Shafiei A, Chatzis I, Dusseault MB (2012). Numerical simulation of free fall and Controlled gravity drainage processes in Porous media. Journal of Porous Media 15(3):211-232.
Crossref

 
 

Zhang A, Sun P, Ming F, Colagrossi A (2017). Smoothed particle hydrodynamics and its applications in fluid-structure interactions. Journal of Hydrodynamics, Ser. B. 29(2):187-216.

 
 

Zhao X, Blunt MJ, Yao J (2010). Pore-scale modeling: Effects of wettability on waterflood oil recovery. Journal of Petroleum Science and Engineering 71:169-178.
Crossref

 
 

Zhenpeng L, Weifeng Lv, Qingjie L, Ninghong J, Jianhua Q, Zhibin J, Danyong L (2015). Application of pore scale network modeling technology for waterflooding oil recovery evaluation in different wettability conditions. SPE-176344-MS. SPE/IATMI Asia Pacific Oil & Gas Conference and Exhibition, 20-22 October, Nusa Dua, Bali, Indonesia. 
Crossref

 
 

Zhu Y, Fox PJ (2002). Simulation of pore-scale dispersion in periodic porous media using smoothed particle hydrodynamics. Journal of Computational Physics 182: 622-645.
Crossref