Unravelling Effects of the Pore-Size Correlation Length on the Two-Phase Flow and Solute Transport Properties: GPU-based Pore-Network Modeling

被引:28
作者
An, Senyou [1 ]
Hasan, Sharul [1 ]
Erfani, Hamidreza [1 ]
Babaei, Masoud [1 ]
Niasar, Vahid [1 ]
机构
[1] Univ Manchester, Dept Chem Engn & Analyt Sci, Manchester, Lancs, England
关键词
pore-network modeling; GPU computing; relative permeability; mass transfer; non-Fickian transport; dispersivity; RELATIVE PERMEABILITY; CAPILLARY-PRESSURE; POROUS-MEDIA; MULTIPHASE FLOW; INTERFACIAL AREA; DISPERSION; SATURATION; VOLUME; WATER; HETEROGENEITY;
D O I
10.1029/2020WR027403
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Continuum-scale models for two-phase flow and transport in porous media are based on the empirical constitutive relations that highly depend on the porous medium heterogeneity at multiple scales including the microscale pore-size correlation length. The pore-size correlation length determines the representative elementary volume and controls the immiscible two-phase invasion pattern and fluids occupancy. The fluids occupancy controls not only the shape of relative permeability curves but also the transport zonation under two-phase flow conditions, which results in the non-Fickian transport. This study aims to quantify the signature of the pore-size correlation length on two-phase flow and solute transport properties such as the capillary pressure- and relative permeability-saturation, dispersivity, stagnant saturation, and mass transfer rate. Given the capability of pore-scale models in capturing the pore morphology and detailed physics of flow and transport, a novel graphics processing unit (GPU)-based pore-network model has been developed. This GPU-based model allows us to simulate flow and transport in networks with multimillions pores, equivalent to the centimeter length scale. The impact of the pore-size correlation length on all aforementioned properties was studied and quantified. Moreover, by classification of the pore space to flowing and stagnant regions, a simple semianalytical relation for the mass transfer between the flowing and stagnant regions was derived, which showed a very good agreement with pore-network simulation results. Results indicate that the characterization of the topology of the stagnant regions as a function of pore-size correlation length is essential for a better estimation of the two-phase flow and solute transport properties.
引用
收藏
页数:17
相关论文
共 74 条
[1]   Porosity-permeability properties generated with a new 2-parameter 3D hydraulic pore-network model for consolidated and unconsolidated porous media [J].
Acharya, RC ;
van der Zee, SEATM ;
Leijnse, A .
ADVANCES IN WATER RESOURCES, 2004, 27 (07) :707-723
[2]   Digital rock physics benchmarks-Part I: Imaging and segmentation [J].
Andrae, Heiko ;
Combaret, Nicolas ;
Dvorkin, Jack ;
Glatt, Erik ;
Han, Junehee ;
Kabel, Matthias ;
Keehm, Youngseuk ;
Krzikalla, Fabian ;
Lee, Minhui ;
Madonna, Claudio ;
Marsh, Mike ;
Mukerji, Tapan ;
Saenger, Erik H. ;
Sain, Ratnanabha ;
Saxena, Nishank ;
Ricker, Sarah ;
Wiegmann, Andreas ;
Zhan, Xin .
COMPUTERS & GEOSCIENCES, 2013, 50 :25-32
[3]   ON THE DISPERSION OF A SOLUTE IN A FLUID FLOWING THROUGH A TUBE [J].
ARIS, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 235 (1200) :67-77
[4]   Novel insights into pore-scale dynamics of wettability alteration during low salinity waterflooding [J].
Aziz, Rimsha ;
Joekar-Niasar, Vahid ;
Martinez-Ferrer, Pedro J. ;
Godinez-Brizuela, Omar E. ;
Theodoropoulos, Constantinos ;
Mahani, Hassan .
SCIENTIFIC REPORTS, 2019, 9 (1)
[5]   Pore-scale insights into transport and mixing in steady-state two-phase flow in porous media [J].
Aziz, Rimsha ;
Joekar-Niasar, Vahid ;
Martinez-Ferrer, Pedro .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2018, 109 :51-62
[6]   A transport phase diagram for pore-level correlated porous media [J].
Babaei, M. ;
Joekar-Niasar, V. .
ADVANCES IN WATER RESOURCES, 2016, 92 :23-29
[7]   EFFECTS OF DISPERSION AND DEAD-END PORE VOLUME IN MISCIBLE FLOODING [J].
BAKER, LE .
SOCIETY OF PETROLEUM ENGINEERS JOURNAL, 1977, 17 (03) :219-221
[8]   The fractional-order governing equation of Levy motion [J].
Benson, DA ;
Wheatcraft, SW ;
Meerschaert, MM .
WATER RESOURCES RESEARCH, 2000, 36 (06) :1413-1423
[9]   Effect of the variance of pore size distribution on the transport properties of heterogeneous networks [J].
Bernabe, Y ;
Bruderer, C .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1998, 103 (B1) :513-525
[10]   Predictions of non-Fickian solute transport in different classes of porous media using direct simulation on pore-scale images [J].
Bijeljic, Branko ;
Raeini, Ali ;
Mostaghimi, Peyman ;
Blunt, Martin J. .
PHYSICAL REVIEW E, 2013, 87 (01)