Development of the Back Analysis Technique Using Incremental Displacements Measured in a Multistep Excavation

다단계 터널굴착시 계측된 증분변위를 이용한 역해석 기법의 개발

  • 이연규 (정회원, 서울대학교 공과대학 부설 에너지자원신기술연구소 특별연구원) ;
  • 이정인 (정회원, 서울대학교 공과대학)
  • Published : 1997.02.01

Abstract

By applying the finite element theory which is capable of handling the geometrically altered structure in a successive manner, the linear relationship between incremental displacements and the magnitude of the initial stress field was derived. Based on this relationship, back analysis code having the capability of dealing multi-step excavation problem was built and verified With this back analysis code, the measurements of the incremental displacements in a particular excavation step make it possible to back-calculate the initial stress state. illustrative examples showed the applicability of this code to a practical problem.

구조물의 형상 변화를 연속적으로 고려할 수 있는 유한요소법 원리에 기초하여 탄성지반내에 단계적 터널굴착시 임의의 굴착단계에서 발생한 증분변위와 굴착전 암반내에 존재하는 초기응력의 크기가 선형관계에 있음을 유도하였다. 즉, 총변위가 아닌 임의 단계에서 계측된 증분변위만으로 탄성지반내 초기음력의 역산이 가능함을 이론적으로 증명하였다. 이러한 이론적 관계식에 기초하여 다단계 터널굴착시 계측된 증분변위를 이용하여 초기응력을 역산할 수 있는 역해석 프로그램을 작성하였다. 간단한 예제를 통하여 구성한 프로그램의 정확성과 현장 적용 가능성을 검토하였다.

Keywords

References

  1. Proc. 7th Int. Confer. on Computer Methods and Advances in Geomech The back analysis of in-situ stresses in a multiple stage excavation problem Akutagawa,S.;Meek,J.L.;Brown,E.T.
  2. 6th ISRM Congress Interpretation of tunnel convergence measurements Barlow,J.P.;Kaiser,P.K.
  3. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. v.18 Some aspect of characterization problem in geomechanics Cividini,A.;Jurina,L.;Gioda,G.
  4. Int. J. Numer. & Anal. Methods in Geomech. v.11 Optimal estimation of in-situ gorund stresses from displacement measurements Feng,Z.L.;Lewis,R.W.
  5. Int. J. for Num. Meth. in Eng. v.20 Incremental finite element analysis of geometrically altered structures Ghaboussi,J.;Pecknold,D.A.
  6. Int. J. Numer. Mech. Eng. v.15 Direct search solution of an inverse problem in elastoplasticity:identification of cohesion, friction angle and in situ stress by presure tunnel tests Gioda,G.;Maier,G.
  7. J. of Korean Geotech. Society v.12 Back analysis of displacements measured during excavation of underground storage caverns Lee,C.I.;Lee,Y.K.;Kim,C.H.
  8. Proc. Int. Symp. on Weak Rock On the displacement forecasting methods and their application to tunneling by NATM Otsuka,M.;Kondoh,T.
  9. Tunneling 82, IMM Analysis of convergence behind the face of a tunnel Panet,M.;Guenot,A.
  10. Rock Mech. & Rock Eng. v.16 no.3 Back analysis of measured displacements of tunnels Sakurai,S.;Takeuchi,K.
  11. The finite element method Zienkiewicz,O.C.