All Issue

2016 Vol.32, Issue 1 Preview Page
Prediction of Soil-Water Characteristic Curve and Relative Permeability of Jumunjin Sand Using Pore Network Model

공극 네트워크 모델을 이용한 주문진표준사의 함수특성곡선 및 상대투수율 예측에 관한 연구

Hyung Suk Suh1
,
Tae Sup Yun2*
,
Kwang Yeom Kim3
서 형석1
,
윤 태섭2*
,
김 광염3
1Graduate Student, School of Civil and Environmental Engrg., Yonsei Univ.
2Member, Associate Prof., School of Civil and Environmental Engrg., Yonsei Univ.
3Member, Research Fellow, Korea Institute of Civil Engrg. and Building Technology
1연세대학교 토목환경공학과 석사과정
2연세대학교 토목환경공학과 부교수
3한국건설기술연구원 Geo-인프라연구실 연구위원
*교신저자. *Corresponding Author. 
31 January 2016. pp. 55-62
PDF XML Citation
Abstract

This study presents the numerical results of soil-water characteristic curve for sandy soil by pore network model. The Jumunjin sand is subjected to the high resolution 3D X-ray computed tomographic imaging and its pore structure is constructed by the web of pore body and pore channel. The channel radius, essential to the computation of capillary pressure, is obtained based on the skeletonization and Euclidean Distance transform. The experimentally obtained soil-water characteristic curve corroborates the numerically estimated one. The pore channel radius defined by minimum radii of pore throat results in the slightly overestimation of air entry value, while the overall evolution of capillary pressure resides in the acceptable range. The relative permeability computed by a series of suggested models runs above that obtained by pore network model at high degree of saturation.

Keywords
Pore network model
Soil water characteristic curve
Relative permeability
3D X-ray CT

본 연구에서는 공극 네트워크 모델을 이용하여 사질토의 함수특성곡선을 수치해석적으로 획득하였다. 주문진표준사의 시편을 고해상도 3차원 X-ray CT 촬영하여 공극 영상을 획득하였고, 이를 공극방과 공극목으로 이루어진 관망으로 재구성하였으며 이 때 관의 반경은 공극목의 최소반경으로 정의하였다. 모세관압에 영향을 미치는 공극목의 반경은 세선화알고리즘과 유클리디언 거리변환을 통해 계산하였다. 수치해석적으로 얻은 함수특성곡선을 실험결과와 비교하였으며, 수치해석 결과는 실험결과에 비해 공기함입치가 과대평가 되었으나 전체 모세관압은 유사한 분포를 나타냈다. 또한 실험결과로부터 도출된 상대투수율은 높은 포화도에서 수치해석 결과에 비해 큰 값을 보였다.

References
1
1.Aker, E., K. Måløy, K. J., Hansen, A., and Batrouni G. G. (1998), “A Two-dimensional Network Simulator for Two-phase Flow in Porous Media”, Transport in Porous Media, Vol.32, No.2, pp. 163-186.
2
2.Baldwin, C. A., Sederman, A. J., Mantle, M. D., Alexander, P., and Gladden, L. F. (1996), “Determination and Characterization of the Structure of a Pore Space from 3D Volume Images”, Journal of Colloid and Interface Science, Vol.181, No.1, pp.79-92.
3
3.Blunt, M. J. (2001), “Flow in Porous Media—pore-network Models and Multiphase Flow”, Current opinion in colloid & interface science, Vol.6, No.3, pp.197-207.
4
4.Blunt, M. J. and King, P. (1991), “Relative Permeabilities from Two- and Three-dimensional Pore-scale Network Modelling”, Transport in Porous Media, Vol.6, No.4, pp.407-433.
5
5.Brooks, R. H. and Corey, A. T. (1964), “Hydraulic Properties of Porous Media”.
6
6.Bryant, S. and Blunt, M. J. (1992), “Prediction of Relative Per-meability in Simple Porous Media”, Physical Review A, Vol.46, No.4, 2004.
7
7.Corey, A. T. (1954), “The Interrelationship between Oil and Gas Permeabilities”, Producers Monthly, Vol.19, No.1, pp.38-41.
8
8.Dong, H. (2007), “Micro CT Imaging and Pore Network Extraction”, PhD Thesis, Imperial College London.
9
9.Dong, H. and Blunt, M. J. (2009) “Pore-network Extraction from Micro-computerized-tomography Images”, Physical Review E, Vol.80, No.3, 036307.
10
10.Fredlund, M. D., Fredlund, D. G., and Wilson, G. W. (1997), “Prediction of the Soil-water Characteristic Curve from Grain-size Distribution and Volume-mass Properties”, In Proc., 3rd Brazilian Symp. on Unsaturated Soils, Rio de Janeiro. Vol.1, pp.13-23.
11
11.Van Genuchten, M. T. (1980), “A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils”, Soil science society of America journal, Vol.44, No.5, pp.892-898.
12
12.Jang, J. and Santamarina, J. C. (2011), “Recoverable Gas from Hydrate-bearing Sediments: Pore Network Model Simulation and Macroscale Analyses”, Journal of geophysical research: Solid Earth, Vol.116, B08202.
13
13.Jang, J. and Santamarina, J. C. (2014), “Evolution of Gas Saturation and Relative Permeability during Gas Production from Hydrate- bearing Sediments: Gas Invasion vs. Gas Uucleation”, Journal of Geophysical Research: Solid Earth, Vol.119, No.1, pp.116-126.
14
14.Karpyn, Z. T. and Piri, M. (2007), “Prediction of Fluid Occupancy in Fractures Using Network Modeling and X-ray Microtomography. I: Data Conditioning and Model Description”, Physical Review E, Vol.76, No.1, 016315.
15
15.Kim, D.H., Yang, H. J., Kim, K.Y., and Yun, T.S. (2015), “Experimental Investigation of Evaporation and Drainage in Wettable and Water- repellent Sands”, Sustainability, Vol.7, No.5, 5648-5663.
16
16.Piri, M. and Karpyn, Z. T. (2007), “Prediction of Fluid Occupancy in Fractures Using Network Modeling and X-ray Microtomography. II: Results”, Physical Review E, Vol.76, No.1, 016316.
17
17.Lee, T. C., Kashyap, R. L., and Chu, C. N. (1994), “Building Skeleton Models via 3-D Medial Surface Axis Thinning Algorithms”, CVGIP: Graphical Models and Image Processing, Vol.56, No.6, pp.462-478.
18
18.Li, K. and Horne, R. N. (2006), “Comparison of Methods to Calculate Relative Permeability from Capillary Pressure in Consolidated Water-wet Porous Media”, Water resources research, Vol.42, No.6.
19
19.Liang, Z., Ioannidis, M. A., and Chatzis, I. (2000), “Geometric and Topological Analysis of Three-dimensional Porous Media: Pore Space Partitioning based on Morphological Skeletonization”, Journal of colloid and interface science, Vol.221, No.1, pp.13-24.
20
20.Øren, P. E. and Bakke, S. (2002), “Process based Reconstruction of Sandstones and Prediction of Transport Properties”, Transport in Porous Media, Vol.46, No.2-3, pp.311-343.
21
21.Prodanović, M., Lindquist, W. B., and Seright, R. S. (2006), “Porous Structure and Fluid Partitioning in Polyethylene Cores from 3D X-ray Microtomographic Imaging”, Journal of Colloid and Interface Science, Vol.298, No.1, pp.282-297.
22
22.Raoof, A., Nick, H. M., Hassanizadeh, S. M., and Spiers, C. J. (2013), “PoreFlow: A Complex Pore-network Model for Simulation of Reactive Transport in Variably Saturated Porous Media”, Computers & Geosciences, Vol.61, pp.160-174.
23
23.Silin, D. and Patzek, T. (2006), “Pore Space Morphology Analysis Using Maximal Inscribed Spheres”, Physica A: Statistical Mechanics and its Applications, Vol.371, No.2, pp.336-360.
24
24.Valvatne, P. H. (2004), “Predictive Pore-scale Modelling of Multiphase Flow”, PhD Thesis, Imperial College London.
25
25.Yang, H. J. (2014), “Experimental Study on the Wettability of Synthesized Water-repellent Sand and Silty Soils”, MS Thesis, Yonsei University.
26
26.Zhao, H. Q., Macdonald, I. F., and Kwiecien, M. J. (1994), “Multi- orientation Scanning: A Necessity in the Identification of Pore Necks in Porous Media by 3-D Computer Reconstruction from Serial Section Data”, Journal of colloid and interface science, Vol. 162, No.2, pp.390-401.
Information
  • Publisher :The Korean Geotechnical Society
  • Publisher(Ko) :한국지반공학회
  • Journal Title :Journal of the Korean Geotechnical Society
  • Journal Title(Ko) :한국지반공학회 논문집
  • Volume : 32
  • No :1
  • Pages :55-62
  • Received Date : 2015-12-03
  • Revised Date : 2016-01-06
  • Accepted Date : 2016-01-07
  • DOI :https://doi.org/10.7843/kgs.2016.32.1.55
Journal Informaiton Journal of the Korean Geotechnical Society Journal of the Korean Geotechnical Society
Archives
: Vol.23~28 (2007~2012)
  • NRF
  • KOFST
  • KISTI Current Status
  • KISTI Cited-by
  • crosscheck
  • orcid
  • open access
  • ccl
Journal Informaiton Journal Informaiton - close