지구물리와물리탐사 (Geophysics and Geophysical Exploration)

  • 제17권3호
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  • Pages.121-128
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  • 2014
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  • 1229-1064(pISSN)
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  • 2384-051X(eISSN)
한국지구물리·물리탐사학회 (Korean Society of Earth and Exploration Geophysicists)
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공극률과 건조율을 이용한 다공질 사암의 투과도 추정방법 제안

A Suggested Method for Predicting Permeability of Porous Sandstone Using Porosity and Drying Rate

  • 고은지 (동남권 건설교통기술 지역거점센터) ;
  • 김진후 (동아대학교 에너지.자원공학과)
  • Ko, Eunji (Dongnam Regional Infrastructure Technology Management Center) ;
  • Kim, Jinhoo (Dong-A University, Department of Energy and Mineral Resources Engineering)
  • 투고 : 2014.04.07
  • 심사 : 2014.08.11
  • 발행 : 2014.08.31
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초록

투과도는 다공질 암석 내에서 유체의 유동 특성을 나타내는 중요한 매개변수로서 일반적으로 코어 시료의 유체 유동실험을 통해 산출된다. 하지만, 유체 유동실험을 위해서는 별도의 실험장치가 필요하며, 투과도가 낮을 경우 많은 시간이 소요될 수 있다. 본 연구에서는 일련의 투과도 측정 실험 없이 시료의 건조과정만으로 투과도를 도출하기 위해 유체투과도, 공극률, 건조율간의 상관관게를 분석하였다. 공극률은 표면건조 포화시료를 건조시키면서 무게 변화를 연속적으로 측정하는 건조 모니터링 방법을 이용하여 산출하였으며, 건조율은 물 포화율에 따른 시료의 무게 변화율로부터 구했다. 70 ~ 670 mD의 투과도를 보이는 6개의 베레아 사암을 이용해 회귀분석한 결과 공극률 및 건조율로부터 다공성 사암의 투과도를 예측할 수 있는 새로운 경험식을 도출하였다.

As the permeability is an important parameter to characterize the ease with which a porous medium transmits fluids, it is usually obtained by fluid flow experiment using core samples. In order to measure the permeability, however, an experimental apparatus is required and it might take long measurement time, especially for tight samples. In this study, the relationship between permeability and porosity as well as drying rate has been investigated to predict the permeability without a series of measuring experiments. Porosity is measured by drying monitoring method, which measures weight variation continuously while drying surface-dried saturated sample, and drying rate is obtained from weight variation ratio with respect to the water saturation. The total of 6 Berea sandstone samples, which have a permeability range of 70 to 670 mD, were used in this work, and a new and empirical equation which could predict permeability of porous sandstone by using porosity and drying rate were obtained through regression analysis.

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참고문헌

  1. Adler, P. M., Jacquin, C. G., and Rahon, D., 1991, Three-dimensional reconstructed porous media- Application to the study of transport mechanisms in sandstones, Abstracts for the Second European Core Analysis Symposium (EUROCAS II), Society of Core Analysts- A Chapter-at-Large of SPWLA, 393-405.
  2. Berea Sandstone Petroleum Cores, 2014, http://www.bereasandstonecores.com/cores.php (March 31, 2014 Accessed).
  3. Carman, P. C. 1956, Flow of gases through porous media, Butterworths Scientific Publications, London.
  4. Carrier III, W. D., 2003, Goodbye, Hazen; Hello, Kozeny-Carmen, Journal of Geotechnical and Geoenvironmental Engineering, 129, 1054-1056. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:11(1054)
  5. Franzen, C. and Mirwald, P. W., 2004, Moisture content of natural stone: static and dynamic equilibrium with atmospheric humidity, Environmental Geology, 46, 391-401.
  6. Gao, Z. and Hu, Q., 2013, Estimating permeability using median pore-throat radius obtained from mercury intrusion porosimetry, Journal of Geophysics and Engineering, 10, 025014(7pp). https://doi.org/10.1088/1742-2132/10/2/025014
  7. Goertz, D. and Knight, R., 1998, Elastic wave velocities during evaporative drying, Geophysics, 63, 171-183. https://doi.org/10.1190/1.1444310
  8. Hazen, A. 1911, Discussion: dams on sand foundations, Trans. Am. Soc. Civ. Eng., 73, 199.
  9. Hu, D. K. and Keehm, Y. S., 2008, Concept of rock physics modeling and application to Donghae-1 gas field, 2008 Korean Geophysics and Geophysical Exploration Conference, Korean Society of Earth and Exploration Geophysicists, 173-178.
  10. Jacquin, C. G., 1964, CorrElations entre la permEabilitE et les caractEristiques gEomEtriques du gres de Fontainebleau, Revue de 1'Institut Francais du PEtrole, 19, 921-937.
  11. Jun, J. Y., Kam, F. J., Jeong, C. K., Kang, J. M., Jang, I. S., and Kim, J. Y., 2007, Proceedings of Fall Conference, The Korean Society of Energy Engineering, 314-319.
  12. Keehm, Y. S. and Mukerji, J., 2004, Permeability and relative permeability from digital rocks: Issues on grid resolution and representative elementary volume, SEG Int'l Exposition and 74th Ann. Mtg. Expanded Abstracts, Society of Exploration Geophysicists, 1654-1657.
  13. Kim, H. T., Huh, D. K., and Kim, S. J., 2002, Permeability measuring experiment for non-conventional reservoir, 2002 Joint Conference of the Geological Science & Technology of Korea, The Korean Society of Economic and Environmental Geology, 385-388.
  14. Ko, E. J., 2014, A study on the Correlation between Drying Exponent and Permeability of Rock and Cement Base Specimens, M.S. Dissertation, Dong-A University, 71p.
  15. Ko, E. J., Kim, J. H., and Kim, S. B., 2012, Calculation of drying exponent by using drying curve of rock specimen, Proceeding of the 99th Fall Conference, Korean Society of Mineral and Energy Resources Engineers, 200-202.
  16. Kozeny, J. 1927. Ueber kapillare Leitung des Wassers im Boden, Wien, Akad. Wiss., 136(2a), 271.
  17. KSRM (Korea Society for Rock Mechanics), 2006, Standard test method for porosity and density of rock, Tunnel & underground Space, 16, 95-98.
  18. Lee, M. H. and Keehm, Y. S., 2009, Smoothing effect in X-ray microtomogram and its influence on the physical property estimating of rocks, Jigu-Mulli-wa-Mulli-Tamsa, 12, 347-354.
  19. Lee, S. K. and Lee, T. J., 2010, A new suggested method for determining solid weight of rock samples by weight monitoring during drying process, Journal of the Korean Society for Geosystem Engineering, 47, 183-190.
  20. Mujumdar A. and Devahastin, S., Fundamental Principles of Drying, http://staff.sut.ac.ir/haghighi/download/documents/Drying.pdf, (Sept. 20, 2012 Accessed).
  21. Okabe, H. and Blunt, M. J., 2004, Prediction of permeability for porous media reconstructed using multiple-point statistics, Physical Review E, 70, 066135-1-10. https://doi.org/10.1103/PhysRevE.70.066135
  22. Oren, P.-E. and Bakke, S., 2003, Reconstruction of Brea sandstone and pore-scale modelling of wettability effects, Journal of Petroleum Science and Engineering, 39, 179-199.
  23. Rezaee, M. R., Jafari, A., and Kazemzadeh, E., 2006, Relationships between permeability, porosity and pore throat size in carbonate rocks using regression analysis and neural networks, J. Geophys. Eng., 3, 370-376. https://doi.org/10.1088/1742-2132/3/4/008
  24. Ruth, D., Lindsay, C., and Allen, M., 2013, Combining electrical measurement and mercury porosimetry to predict permeability, Petrophysics, 54, 531-537.
  25. Siegesmund, S. and Snethlage, R., 2011, Stone in Arhitecture: properties, durability, 4th Ed., Springer, Berlin.
  26. Tiab, D. and Donaldson, E. C., 2012, Petrophysics: Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties, 3rd Ed., Elsevier, Amsterdam.
  27. Yang, H. Y., Kim, H. N., Kim, K. M., Kim, K. Y., and Min, K. B., 2013, A study of locally changing pore characteristics and hydraulic anisotrophy due to bedding of porous sandstone, Tunnel & Underground Space, 23, 228-240. https://doi.org/10.7474/TUS.2013.23.3.228
  28. Zinszner, B. and Pellerin, F.M., 2007, A Geoscientist's Guide to Petrophysics, IFP Publications.