DOI QR코드

DOI QR Code

간극공기압을 고려하는 불포화토의 유한요소해석

Finite Element Analysis of Partially Saturated Soil Considering Pore-air Pressure

  • 김재홍 (콜로라도대학교 토목공학과) ;
  • 황영철 (상지대학교 이공대학 건설시스템공학과)
  • 투고 : 2011.01.06
  • 심사 : 2011.03.11
  • 발행 : 2011.03.31

초록

불포화 지반을 이루고 있는 흙의 알갱이, 물과 공기의 연계해석이 전체 지반의 변형에 미치는 영향을 알아보고자, 흙 알갱이와 물의 두 가지 요소로 해석되어지는 기존 관점과의 차이를 분석하고 그에 대한 원인을 비교하였다. 열역학적 가정을 토대로 평형방정식을 이용하여 불포화토 거동을 지배하는 물과 공기의 흐름 관계를 유한요속해석을 위한 수학적인 알고리즘을 유도하여 배수시험 수치해석을 통해 기존 문헌과 비교 검증하였다. 3상으로 이루어진 불포화토 거동을 통해서 흙의 알갱이와 물과의 상호작용에서 공기압의 역할을 분석하여 불포화 지반 내에 물과 공기의 두가지 흐름에 대해 지반공학적인 적용성을 알아보았다.

A model of solid-water-air coupling in triphasic mixture is compared to that of solid-water coupling in biphasic mixture with an application to partially saturated soils. Based on thermodynamics, the mathematical framework governing the behavior of a partially saturated soil is derived by using balance equations, and numerical implementation through drainage experiment of a sand column is carried out to validate the obtained formulations. The role of the air phase in the hydro-mechanical behavior of triphasic mixture can be analyzed from the interaction among phases and from the solid skeleton's constitutive behavior, and the three-phase model found applications in geotechnical engineering problems, such as $CO_2$ sequestration and air storage in an aquifer.

키워드

과제정보

연구 과제 주관 기관 : 상지대학교

참고문헌

  1. Borja, R.I. (2004), "Cam-Clay Plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media", Computer Methods in Applied Mechanics and Engineering, Vol.193, pp.5301-5338. https://doi.org/10.1016/j.cma.2003.12.067
  2. Brooks, R.N. and Corey, A.T. (1966), "Properties of porous media affecting fluid flow", Journal of the Irrigation and Drainage Division, ASCE, Vol. 92, pp. 61-68.
  3. Coussy, O. (2004), Poromechanics, John Wiley and Sons, New York, pp.45-51, 157-168.
  4. Ehlers, W., Graf, T. and Ammann, M. (2004), "Deformation and localization analysis of partially saturated soil", Computer methods in applied mechanics and engineering, Vol.193, pp.2885-2910. https://doi.org/10.1016/j.cma.2003.09.026
  5. Gawin, D., Simoni, L. and Schrefler, B.A. (1997), "Numerical model for hydro-mechanical behaviour in deformable porous media: a benchmark problem", Proceedings of the 9st International Conference on Computer Methods and Advances in Geomechanics, Balkema, Rotterdam, pp.1143-1148.
  6. Hughes, T.J.R. (1987), The Finite Element Method, Prentice-Hall, New Jersey, pp.1-51, 57-75.
  7. Lacasse, S. and Nadim, F. (1994), "Reliability issues and future challenges in geotechnical engineering for offshore structures", Norges Geotekniske Institutt, Norway, Vol.191, pp.1-30.
  8. Laloui, L., Klubertanz, G. and Vulliet, L. (2003), "Solid-liquid-air coupling in multiphase porous media", International Journal for Numerical and Analytical Methods in Geomechanics, Vol.27, No. 3, pp.183-206. https://doi.org/10.1002/nag.269
  9. Liakopoulos, A.C. (1965), Transient flow through unsaturated porous media, Ph.D. Thesis, University of California, Berkeley, pp. 000-000.
  10. Meiri, D. and Karadi, G. (1982), "Simulation of air storage aquifer by finite element model", International Journal for Numerical and Analytical Methods in Geomechanics, Vol.6, pp.339-351. https://doi.org/10.1002/nag.1610060306
  11. Schrefler, B. and Scotta, A. (2001), "A fully coupled dynamic model for two-phase fluid flow in deformable porous media", Computer methods in applied mechanics and engineering, Vol.190, pp.3 223-3246.
  12. Schrefler, B. and Zhan, X. (1993), "A fully coupled model for water flow and airflow in deformable porous media", Water Resources Research, Vol.29, pp.155-167. https://doi.org/10.1029/92WR01737
  13. van Genuchten, M. (1980), "Closed-form equation for predicting the hydraulic conductivity of unsaturated soils", Soil Science Society of America Journal, Vol.44, No.5, pp.35-53.

피인용 문헌

  1. Influence of Soil Characteristic and Rainfall Intensity on Matric Suction of Unsaturated Weathered Soil Slope vol.33, pp.3, 2013, https://doi.org/10.12652/Ksce.2013.33.3.1017
  2. Stability Analysis of Unsaturated Soil Slope Considering Rainfall Infiltration by Two-Pahse Flow Model vol.15, pp.6, 2015, https://doi.org/10.9798/KOSHAM.2015.15.6.321
  3. 부분포화토의 침투와 흙의 거동에 따른 유효응력 계수 분석 vol.27, pp.12, 2011, https://doi.org/10.7843/kgs.2011.27.12.117
  4. 다공성 매질내의 공기압 확산에 대한 실내 배수시험과 유한요소해석 비교분석 vol.30, pp.2, 2011, https://doi.org/10.7843/kgs.2014.30.2.77
  5. 공기흐름을 고려한 수리-역학적 연동모델에 의한 불포화 토사사면의 안정해석 vol.32, pp.1, 2016, https://doi.org/10.7843/kgs.2016.32.1.19