Two-phase flow model based on 3D pore structure of geomaterials

ZHANG Peng-wei; HU Li-ming; Meegoda Jay N; Celia Michael A

doi:10.11779/CJGE202001004

Volume 42 Issue 1

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Chinese Journal of Geotechnical Engineering > 2020 > 42(1): 37-45. > DOI: 10.11779/CJGE202001004

ZHANG Peng-wei, HU Li-ming, Meegoda Jay N, Celia Michael A. Two-phase flow model based on 3D pore structure of geomaterials[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(1): 37-45. DOI: 10.11779/CJGE202001004

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Two-phase flow model based on 3D pore structure of geomaterials

1.
State Key Laboratory of Hydro-science and Engineering, Tsinghua University, Beijing 100084, China
2.
Beijing JiaoTong University, Beijing 100044, China
3.
New Jersey Institute of Technology, Newark 07102, USA
4.
Princeton University, Princeton 08544, USA

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Received Date: April 19, 2019
Available Online: December 07, 2022

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Abstract

Abstract

Geomaterials normally have low pore-connectivity in underground reservoir, and the macro-scale flow simulation normally ignores the micro pore connectivity and uses macro parameters such as permeability and tortuosity to reflect the conductivity of underground reservoir. However, due to the complex pore structure and pore connectivity of geomaterials, the macro-scale method cannot reflect the micro flow mechanisms. The pore-structure model provides an effective way to reflect the micro-flow mechanisms for complex porous media since the pore geometry and pore connectivity can be included in the model itself. In this work, an equivalent pore-network model (EPNM) is established considering pore-size distribution, spatial correlation and pore-connectivity. EPNM aims at reflecting 3D pore structure of geomaterials by the equivalent hydraulic parameters, and the effectiveness is verified by permeability tests. Furthermore, a dynamic two-phase flow model is developed based on EPNM, and simulate the dynamic invasion of each phase, reflect the preferential flow in porous media, and it can provide apparent permeability, relative permeability curve, breakthrough curve for macro-scale simulation. Finally, the dynamic two-phase flow model is applied to the wetting phase trap during shale gas exploitation. The results show that the residual saturation in shale matrix is around 30%, and this residual saturation decreases significantly with the increase of the average pore coordination number.
- two-phase flow,
- equivalent pore-network model,
- relative permeability,
- shale gas,
- preferential flow

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References (26)

References

[1]	FATT I. The network model of porous media: I capillary pressure characteristics[J]. Trans. AIME, 1956, 207: 144. doi: 10.2118/574-G
[2]	NICHOLSON D, PETROPOULOS J H. Capillary models for porous media: Ⅲ two-phase flow in three-dimensional network with Gaussian radius distribution[J]. Journal of Physics D: Applied Physics, 1971, 4(2): 181-189. doi: 10.1088/0022-3727/4/2/302
[3]	DULLIEN F A. Porous Media-fluid Transport and Pore Structure[M]. New York: Academic Press, 1979.
[4]	REEVES P C, CELIA M A. A function relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model[J]. Water Resources Research, 1996, 32(8): 2345-2358. doi: 10.1029/96WR01105
[5]	ACHARYA R C, SJOERD E A T M, LEIJNSE A. Porosity-permeability properties generated with a new 2-parameter 3D hydraulic pore-network model for consolidated and unconsolidated porous media[J]. Advances in Water Resources, 2004, 27: 707-723. doi: 10.1016/j.advwatres.2004.05.002
[6]	RAOOF A, HASSANIZADEH S M. A New method for generating pore-network models of porous media[J]. Transport in Porous Media, 2009, 81(3): 391-407.
[7]	GAO S Y, MEEGODA J N, HU L M. Two methods for pore network of porous media[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2012, 36: 1954-1970. doi: 10.1002/nag.1134
[8]	王晨晨, 姚军, 杨永飞, 等. 基于规则网络的碳酸盐岩多尺度网络模型构建方法研究[J]. 计算力学学报, 2013, 30(2): 0231-0235. https://www.cnki.com.cn/Article/CJFDTOTAL-JSJG201302011.htm WANG Chen-chen, YAO Jun, YANG Yong-fei, et al. The construction of carbonate multiscale network model based on regular network[J]. Chinese Journal of Computational Mechanics, 2013, 30(2): 0231-0235. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JSJG201302011.htm
[9]	ARNS J Y, ROBINS V, SHEPPARD A P, et al. Effect of network topology on relative permeability[J]. Transport in Porous Media, 2004, 55: 21-46. doi: 10.1023/B:TIPM.0000007252.68488.43
[10]	BLUNT M J, JACKSON M D, PIRI M, et al. Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow[J]. Advances in Water Resources, 2002, 25: 1069-1089. doi: 10.1016/S0309-1708(02)00049-0
[11]	JOEKAR-NIASAR V, HASSANIZADEH S M, LEIJNSE A. Insights into the relationships among capillary pressure, saturation, interfacial area and relative permeability using pore-network modeling[J]. Transport in Porous Media, 2008, 74: 201-219. doi: 10.1007/s11242-007-9191-7
[12]	KOPLIK J, LASSETER T J. One and two-phase flow in network models of porous media[J]. Chemical Engineering Communications, 1984, 26: 285-295. doi: 10.1080/00986448408940216
[13]	JOEKAR-NIASAR V, HASSANIZADEH S M, DAHLE H K. Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling[J]. Journal of Fluid Mechanics, 2010, 655: 38-71. doi: 10.1017/S0022112010000704
[14]	GAO S Y, MEEGODA J N, HU L M. A dynamic two-phase flow model for air sparging[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2013, 37: 1801-1821. doi: 10.1002/nag.2109
[15]	HUANG X W, BANDILLA K W, CELIA M A. Multi-physics pore-network modeling of two-phase shale matrix flows[J]. Transport in Porous Media, 2016, 111: 123-141. doi: 10.1007/s11242-015-0584-8
[16]	MAHMOODLU M G, RAOOF A, SWEIJEN T, et al. Effects of sand compaction and mixing on pore structure and the unsaturated soil hydraulic properties[J]. Vadose Zone Journal, 2016, 15(8): 1-11. doi: 10.2136/vzj2015.12.0157
[17]	HAUGHEY D P, BEVERIDGE G G. Local voidage variation in arandomly packed bed of equal-sized spheres[J]. Chemical Engineering Science, 1966, 21(10): 905-915. doi: 10.1016/0009-2509(66)85084-4
[18]	ØREN P E, BAKKE S. Process based reconstruction of sandstones and prediction of transport properties[J]. Transport in Porous Media, 2002, 46: 311-343. doi: 10.1023/A:1015031122338
[19]	VALVATNE P H, PIRI M, LOPEZ X, et al. Predictive pore-scale modeling of single phase and multiphase flow[J]. Transport in Porous Media, 2005, 58: 23-41. doi: 10.1007/s11242-004-5468-2
[20]	MADONNA C, QUINTAL B, FREHNER M, et al. Synchrotron-based X-ray tomography microscopy for rock physics investigations[J]. Geophysics, 2013, 78(1): 53-64. doi: 10.1190/geo2012-0113.1
[21]	SHARQAWY M H. Construction of pore network models for Berea and Fontainebleau sandstones using non-linear programing and optimization techniques[J]. Advances in Water Resources, 2016, 98: 198-210. doi: 10.1016/j.advwatres.2016.10.023
[22]	SOEDER D J. Porosity and permeability of Eastern Devonian gas shale[J]. SPE Formation Evaluation, 1988, 3: 116-124. doi: 10.2118/15213-PA
[23]	CURTIS M E, SONDERGELD C H, AMBROSE R J, et al. Microstructural investigation of gas shales in two and three dimensions using nanometer-scale resolution imaging[J]. AAPG Bulletin, 2012, 96(4): 665-677. doi: 10.1306/08151110188
[24]	CHALMERS G R, BUSTIN R M, POWER I M. Characterization of gas shale pore systems by porosimetry, pycnometry, surface area, and field emission scanning electron microscopy/transmission electron microscopy image analyses: examples from the Barnett, Woodford, Haynesville, Marcellus, and Doig units[J]. AAPG Bulletin, 2012, 96(6): 1099-1108. doi: 10.1306/10171111052
[25]	郭为, 熊伟, 高树生, 等. 页岩气等温吸附/解吸特征[J]. 中南大学学报(自然科学版), 2013,44(7): 2836-2840. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201307029.htm GUO Wei, XIONG Wei, GAO Shu-sheng, et al. Isothermal adsorption/desorption characteristics of shale gas[J]. Journal of Central South University (Science and Technology), 2013, 44(7): 2836-2840. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201307029.htm
[26]	ROYCHAUDHURI B, TSOTSIS T, JESSEN K. An experimental investigation of spontaneous imbibition in gas shales[J]. Journal of Petroleum Science and Engineering, 2013, 111: 87-97. doi: 10.1016/j.petrol.2013.10.002

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