한국지반공학회논문집 (Journal of the Korean Geotechnical Society)

  • 제27권3호
  • /
  • Pages.75-83
  • /
  • 2011
  • /
  • 1229-2427(pISSN)
  • /
  • 2288-646X(eISSN)
한국지반공학회 (Korean Geotechnical Society)
권호 표지
DOI QR코드

DOI QR Code

불포화지반에 대한 열-수리-역학 거동의 수식화

Formulation of Fully Coupled THM Behavior in Unsaturated Soil

  • 신호성 (울산대학교 건설환경공학부)
  • Shin, Ho-Sung (Dept. of Civil and Environmental Engrg., Univ. of Ulsan)
  • 투고 : 2010.11.18
  • 심사 : 2011.02.23
  • 발행 : 2011.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

일반적인 불포화지반의 거동뿐만 아니라, 열과 관련된 분야, 지반환경 분야 등 다양한 분야에서 불포화 다공질 재료의 열적-수리적-역학적으로 결합된 문제들이 대두되면서 이러한 문제들을 해석하기 위한 수치도구 개발의 필요성이 대두되고 있다. 본 논문에서는 거시적 접근법(macroscopic approach)에 근거하여 불포화지반에 대한 열-수리-역학거동의 수식화를 하였다. 흙, 물, 공기에 대한 질량보존의 법칙, 에너지 보존법칙, 그리고 하중평형 조건식으로부터 결합된(coupled) 4개의 지배방정식을 유도하였다. Galerkin 간략화와 시간적분으로부터 주 변수인 변위(u), 가스압($P_g$), 유체압($P_1$), 온도(T)를 Newton의 반복과정을 이용하여 구하는 유한요소 프로그램(FEM)을 작성하였다. 개발된 프로그램을 이용하여 다공질재료에서 2상 흐름 문제 중 일차원 배수실험(u-$P_g-P_1$), 온도 압밀(u-$P_1$-T), 그리고 지표면 온도변화에 의한 말뚝의 주변지반에 대한 영향(u-$P_1$-T)에 대하여 수치해석을 수행하고 논의하였다.

Emerging issues related with fully coupled Thermo-Hydro-Mechanical (THM) behavior of unsaturated soil demand the development of a numerical tool in diverse geo-mechanical and geo-environmental areas. This paper presents general governing equations for coupled THM processes in unsaturated porous media. Coupled partial differential equations are derived from three mass balances equations (solid, water, and air), energy balance equation, and force equilibrium equation. With Galerkin formulation and time integration of these governing equations, finite element code is developed to find nonlinear solution of four main variables (displacement-u, gas pressure-$P_g$), liquid pressure-$P_1$), and temperature-T) using Newton's iterative scheme. Three cases of numerical simulations are conducted and discussed: one-dimensional drainage experiments (u-$P_g-P_1$), thermal consolidation (u-$P_1$-T), and effect of pile on surrounding soil due to surface temperature variation (u-$P_1$-T).

키워드

과제정보

연구 과제번호 : 신임교원정착과제

연구 과제 주관 기관 : 울산대학교

참고문헌

  1. Alonso, E.E., Gens, A., and Josa, A. (1990), "A constitutive model for partially saturated soils", Geotechnique, Vol.40, pp.405-430. https://doi.org/10.1680/geot.1990.40.3.405
  2. Bear, J. (1990), "Introduction to modeling of transport phenomena in porous media", Dordrecht, Kluwer Academic Publishers.
  3. Coussy, O. (1995), "Mechanics of porous continua", Chichester, Wiley.
  4. Del Olmo, C., Fioravante, V., Gera, F., Hueckel, T., Mayor, J.C., and Pellegrini, R. (1996), "Thermo-mechanical properties of deep argillaceous formations", Engineering Geology, Vol.41, pp.87-102. https://doi.org/10.1016/0013-7952(95)00048-8
  5. Demars, K.R., and Charles, R.D. (1982), "Soil volume changes induced by temperature cycling", Canadian Geotechnical Journal, Vol.19, pp.188-194. https://doi.org/10.1139/t82-021
  6. Gens, A., and Olivella, S. (2001), "THM phenomena in saturated and unsaturated porous media", Environmental Geomechanics, Vol. 5, pp. 693-717.
  7. 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, pp. 183-206. https://doi.org/10.1002/nag.269
  8. Lewis, R.W., and Schrefler, B.A. (1998), "The finite element method in the static and dynamic deformation and consolidation of porous media", New York, John Wiley.
  9. Liakopoulos, A.C. (1965), "Transient flow through unsaturated porous media", University of California, Berkeley.
  10. Olivella, S., Gens, A., Carrera, J., and Alonso, E.E. (1996), "Numerical formulation for a simulator (CODE_BRIGHT) for the coupled analysis of saline media", Engineering Computations, Vol.13, pp.87-&. https://doi.org/10.1108/02644409610151575
  11. Rutqvist, J., Barr, D., Birkholzer, J.T., Fujisaki, K., Kolditz, O., Liu, Q.S., Fujita, T., Wang, W.Q., and Zhang, C.Y. (2009), "A comparative simulation study of coupled THM processes and their effect on fractured rock permeability around nuclear waste repositories", Environmental Geology, Vol.57, pp.1347-1360. https://doi.org/10.1007/s00254-008-1552-1
  12. Rutqvist, J., Borgesson, L., Chijimatsu, M., Kobayashi, A., Jing, L., Nguyen, T.S., Noorishad, J., and Tsang, C.F. (2001), "Thermohydro- mechanics of partially saturated geological media: Governing equations and formulation of four finite element models", International Journal of Rock Mechanics and Mining Sciences, Vol.38, pp.105-127. https://doi.org/10.1016/S1365-1609(00)00068-X
  13. Schrefler, B.A., and Scotta, R. (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.3223-3246. https://doi.org/10.1016/S0045-7825(00)00390-X
  14. Zienkiewicz, O.C., Xie, Y.M., Schrefler, B.A., Ledesma, A., and Bicanic, N. (1990), "Static and dynamic behaviour of soils: A rational approach to quantitative solutions, II, Semi-saturated problems", Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences, Vol.429, pp.311-321.

피인용 문헌

  1. 지중 열교환 시스템을 위한 열-수리 파이프 요소의 개발 vol.29, pp.8, 2011, https://doi.org/10.7843/kgs.2013.29.8.65