Video: Phase Equilibrium of Hydrocarbons Confined in Nanopores from a Modified Peng-Robinson Equation of State

Thommes, M., Findenegg, G. H., & Schoen, M. Critical depletion of a pure fluid in controlled-pore glass. Experimental results and grand canonical ensemble Monte Carlo simulation. Langmuir. 1995, 11(6): 2137–2142.Travalloni, L., Castier, M., & Tavares, F. W. Phase equilibrium of fluids confined in porous media from an extended Peng–Robinson equation of state. Fluid Phase Equilibria. 2014, 362: 335–341.Van der Waals, J. D. Over de Continuiteit van den Gas-en Vloeistoftoestand (Vol. 1). Sijthoff, 1873.Vishnyakov, A., Piotrovskaya, E. M., Brodskaya, E. N., Votyakov, E. V., & Tovbin, Y. K. Critical properties of Lennard-Jones fluids in narrow slit-shaped pores. Langmuir. 2001, 17(14): 4451–4458.Wang L, Parsa E, Gao Y, Ok JT, Neeves K, Yin X, Ozkan E. Experimental study and modeling of the effect of nanoconfinement on hydrocarbon phase behavior in unconventional reservoirs. In SPE Western North American and Rocky Mountain Joint Meeting. Apr 17, 2014.Wang, L., Yin, X., Neeves, K. B., & Ozkan, E. Effect of pore-size distribution on phase transition of hydrocarbon mixtures in nanoporous media. SPE Journal. 2016, 21(06): 1–981.Weinaug, C.F.; and Katz, D.L. Surface Tension of Methane-Propane Mixtures. Ind. Eng. Chem. Fund. 1943, 35(2): 239–246.Wilson, G. A Modified Redlich–Kwong Equation of State, Application to General Physical Data Calculations. Paper No. 15C presented at the AIChE 65th National Meeting, Cleveland, Ohio. May 4-7, 1969.Wong, A. P., Chan, M. H. W. Liquid-vapor critical point of He 4 in aerogel. Physical review letters. 1990, 65(20): 2567.Wu, K., Chen, Z., Li, X., Dong, X. Methane storage in nanoporous material at supercritical temperature over a wide range of pressures. Scientific reports. 2016, 6: 33461.Xiong, X., Devegowda, D., Civan, F., Sigal, R. F., & Jamili, A. Compositional Modeling of Liquid-Rich Shales Considering Adsorption, Non-Darcy Flow Effects and Pore Proximity Effects on Phase Behavior. SPE 168836, paper to be presented at Unconventional Resources Technology Conference held in Denver, Colorado, USA. August 12-14, 2013.Xu, J., Wu, K., Li, R., Li, Z., Li, J., Xu, Q., Chen, Z. Real gas transport in shale matrix with fractal structures. Fuel. 2018, 219(1): 353–63.Xu, J., Wu, K., Yang, S., Cao, J., Chen, Z., Pan, Y., Yan, B. Real gas transport in tapered noncircular nanopores of shale rocks. AIChE Journal. 2017, 63(7): 3224–3242.Yang Cao, Bicheng Yan, Masoud Alfi, John E. Killough. A Novel Compositional Model of Simulating Fluid Flow in Shale Reservoirs "C Some Preliminary Tests and Results. SPE-175589-MS, paper to be presented at the SPE Reservoir Characterization and Simulation Conference and Exhibition, Abu Dhabi, UAE. September 14-16, 2015.Yueliang Liu, Huazhou Andy Li, Ryosuke Okuno. Phase Behavior of Fluid Mixtures in a Partially Confined Space. Paper SPE-181716-MS, presented at the SPE Annual Technical Conference and Exhibition held in Dubai, UAE. September 26-28, 2016.Zarragoicoechea, G. J., Kuz, V. A. Critical shift of a confined fluid in a nanopore. Fluid phase equilibria. 2004, 220(1): 7–9.Zuo, J. Y., Guo, X., Liu, Y., Pan, S., Canas, J., Mullins, O. C. Impact of Capillary Pressure and Nanopore Confinement on Phase Behaviors of Shale Gas and Oil. Energy & Fuels. 2018, 32(4): 4705–4714.Alder, B. J., Young, D. A., Mansigh, M. R., Salsburg, Z. W. Hard sphere equation of state in the close-packed limit. Journal of Computational Physics, 1971, 7(3): 361–366.Alfi M., Nasrabadi H., Banerjee D.. Effect of confinement on bubble point temperature shift of hydrocarbon mixtures: experimental investigation using nanofluidic devices. Paper SPE-187057-MS presented at the SPE Annual Technical Conference and Exhibition held in San Antonio, Texas, USA. 9-11 October, 2017.Adamason A. W.. Physical chemistry of surfaces. Fifth Edition, John Wiley & Sons, New York City, 1990.Alharthy, N. S., Nguyen, T., Teklu, T., Kazemi, H., & Graves, R. Multiphase compositional modeling in small-scale pores of unconventional shale reservoirs. SPE 166306, paper to be presented at SPE Annual Technical Conference and Exhibition held in New Orleans, Louisiana, USA. September 30-October 2, 2013.Brian C. Stimpson. Impacts of Confined Space on Production from Tight Reservoirs. Master Dissertation, Texas A &M University. 2017.Clausius, R. Über die Art der Bewegung, welche wir Wärme nennen. Annalen der Physik. 1857, 176(3): 353–380.Didar, B. R., & Akkutlu, I. Y. Pore-size dependence of fluid phase behavior and properties in organic-rich shale reservoirs. SPE 164099 paper to be presented at the SPE International Symposium on Oilfield Chemistry held in the Woodlands, Texas, USA. April 8-10 2013.Dong, X., Liu, H., Hou, J., Chen, Z., Wu, K., & Zhan, J. Phase Behavior of Multicomponent Hydrocarbons in Organic Nanopores under the Effects of Capillary Pressure and Adsorption Film. SPE-180237-MS, paper to be presented at the SPE Low Perm Symposium held in Denver, Colorado, USA. May 5-6 2016.Evans, R. Fluids adsorbed in narrow pores: phase equilibria and structure. Journal of Physics: Condensed Matter. 1990, 2(46): 8989.Gasem, K. A. M., Gao, W., Pan, Z., & Robinson, R. L.Jr A modified temperature dependence for the Peng–Robinson equation of state. Fluid phase equilibria. 2001, 181(1-2): 113–125.Islam, A. W., Patzek, T. W., & Sun, A. Y. Thermodynamics phase changes of nanopore fluids. Journal of Natural Gas Science and Engineering. 2015, 25: 134–139.Jana, S., Singh, J. K., & Kwak, S. K. Vapor-liquid critical and interfacial properties of square-well fluids in slit pores. The Journal of chemical physics. 2009, 130(21): 214707.Jin, L., Ma, Y., & Jamili, A. nvestigating the effect of pore proximity on phase behavior and fluid properties in shale formations. SPE 166192, paper to be presented at SPE Annual Technical Conference and Exhibition held in New Orleans, Louisiana, USA. September 30-October 2, 2013.Jin, Z., & Firoozabadi, A. (2016). Thermodynamic modeling of phase behavior in shale media. SPE Journal. 2016, 21(01): 190–207.Keizer, A., Michalski, T., & Findenegg, G. H. Fluids in pores: experimental and computer simulation studies of multilayer adsorption, pore condensation and critical-point shifts. Pure and applied chemistry. 1991, 63(10): 1495–1502.Kuchta, B., Dundar, E., Formalik, F., Llewellyn, P. L., & Firlej, L. Adsorption-Induced Structural Phase Transformation in Nanopores. Angewandte Chemie. 2017, 129(51): 16461–164164.Li, Z., Jin, Z., & Firoozabadi, A. (2014). Phase behavior and adsorption of pure substances and mixtures and characterization in nanopore structures by density functional theory. SPE Journal, 19(06): 1–096.Li, Y., Zuo, L., Yu, W., Chen, Y. A Fully Three Dimensional Semianalytical Model for Shale Gas Reservoirs with Hydraulic Fractures. Energies. 2018, 11(2): 436.Liu, S., Wang, J., He, H., Wang, H. Mechanism on Imbibition of Fracturing Fluid in Nanopore. Nanoscience and Nanotechnology Letters. 2018, 10(1): 87–93.Luo, S., Lutkenhaus, J. L., Nasrabadi, H. Use of differential scanning calorimetry to study phase behavior of hydrocarbon mixtures in nano-scale porous media. Journal of Petroleum Science and Engineering, 2016.Machin, W. D. Temperature dependence of hysteresis and the pore size distributions of two mesoporous adsorbents. Langmuir. 1994, 10(4): 1235–1240.Misawa, M. Effective diameter of molecules and liquid-gas critical point. The Journal of chemical physics. 1990, 93(11): 8401–8402.Morishige, K., & Shikimi, M. Adsorption hysteresis and pore critical temperature in a single cylindrical pore. The Journal of chemical physics. 1998, 108(18): 7821–7824.Morishige, K., Fujii, H., Uga, M., Kinukawa, D. Capillary critical point of argon, nitrogen, oxygen, ethylene, and carbon dioxide in MCM-41. Langmuir. 1997, 13(13): 3494–3498.Nagarajan, N.R.; Hanapour, M.M.; and Arasteh, F. Critical Role of Rock and Fluid Impact on Reservoir Performance on Unconventional Shale Reservoirs. Paper SPE-168864, presented at the Unconventional Resources Technology Conference, Denver, USA. August 12-14, 2013.Nojabaei, B., Johns, R. T., Chu, L. Effect of capillary pressure on phase behavior in tight rocks and shales. SPE Reservoir Evaluation & Engineering. 2013, 16(03): 281–289.Peng, D. Y.; Robinson, D. B. A New Two-Constant Equation of State. Ind. Eng. Chem. Fundam. 1976, 15: 59–64.Pitakbunkate, T., Balbuena, P., Moridis, G. J., Blasingame, T. A. Effect of confinement on PVT properties of hydrocarbons in shale reservoirs. In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers. October, 2014.Rachford H H, Rice J D. Procedure for use of electronic digital computers in calculating flash vaporization hydrocarbon equilibrium. Journal of Petroleum Technology. 1952, 4(10): 19–20.Singh, S. K., & Singh, J. K. Effect of pore morphology on vapor–liquid phase transition and crossover behavior of critical properties from 3D to 2D. Fluid Phase Equilibria. 2011, 300(1-2): 182–187.Singh, S. K., Sinha, A., Deo, G., & Singh, J. K. Vapor- liquid phase coexistence, critical properties, and surface tension of confined alkanes. The Journal of Physical Chemistry C. 2009, 113(17): 7170–7180.Sonwane, C. G., Bhatia, S. K., & Calos, N. Experimental and theoretical investigations of adsorption hysteresis and criticality in MCM-41: studies with O2, Ar, and CO2. Industrial & engineering chemistry research. 1998, 37(6): 2271–2283.Teklu, T. W., Alharthy, N., Kazemi, H., Yin, X., Graves, R. M., AlSumaiti, A. M. Phase behavior and minimum miscibility pressure in nanopores. SPE Reservoir Evaluation & Engineering. 2014 17(03): 396–403.