Coupled Analyses of Excavations in Saturated Soil

This paper presents finite-element analyses of excavations by using a coupled deformation and flow formulation. Specific numerical procedures were implemented into the finite-element codes to simulate the excavation construction and to solve the nonlinear coupled system. The paper discusses results of two generic excavations, with analyses conducted using different constitutive models and different excavation rates. Although the constitutive model affected the magnitude and distribution of the excess of the pore-water pressure due to the excavation process, the constitutive models only slightly influenced the dissipation rate of the excess pore-water pressure. Excavation rates that were one order of magnitude smaller than the hydraulic conductivity of the soil led to results representative of drained processes. Because of the slow rate needed for drained conditions, partially drained conditions normally prevail during excavations, highlighting the importance of coupled analyses.

[1]  John T. Christian,et al.  PLANE STRAIN CONSOLIDATION BY FINITE ELEMENTS , 1970 .

[2]  J. C. Small,et al.  The analysis of finite elasto-plastic consolidation , 1979 .

[3]  Ranbir S. Sandhu,et al.  Numerical performance of some finite element schemes for analysis of seepage in porous elastic media , 1977 .

[4]  J. C. Small,et al.  An investigation of the stability of numerical solutions of Biot's equations of consolidation , 1975 .

[5]  D. Murray,et al.  On Solutions of Plane Strain Consolidation Problems by Finite Element Methods , 1971 .

[6]  D. V. Griffiths,et al.  Analysis of Delayed Failure in Sloping Excavations , 1993 .

[7]  Jorge G. Zornberg,et al.  Numerical Analysis of a Tunnel in Residual Soils , 2002 .

[8]  E. P. Popov,et al.  Accuracy and stability of integration algorithms for elastoplastic constitutive relations , 1985 .

[9]  Jose Couto Marques,et al.  Stress computation in elastoplasticity , 1984 .

[10]  James M. Duncan,et al.  Hyperbolic Stress-Strain Relationships , 1981 .

[11]  Fook Hou Lee,et al.  Elasto-plastic consolidation analysis for strutted excavation in clay , 1989 .

[12]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[13]  John T. Christian,et al.  ERRORS IN SIMULATING EXCAVATION IN ELASTIC MEDIA BY FINITE ELEMENTS , 1973 .

[14]  M. Crisfield A FAST INCREMENTAL/ITERATIVE SOLUTION PROCEDURE THAT HANDLES "SNAP-THROUGH" , 1981 .

[15]  Ronaldo I. Borja,et al.  Finite element formulation for transient pore pressure dissipation: A variational approach , 1986 .

[16]  Andrew J. Whittle,et al.  Analysis of Deep Excavation in Boston , 1993 .

[17]  Jamshid Ghaboussi,et al.  Incremental finite element analysis of geometrically altered structures , 1984 .

[18]  Ronaldo I. Borja,et al.  Linearization of elasto‐plastic consolidation equations , 1989 .

[19]  E. Wilson,et al.  Flow of compressible fluid in porous elastic media , 1973 .

[20]  Chandrakant S. Desai,et al.  Two numerical schemes for nonlinear consolidation , 1981 .

[21]  John R Booker,et al.  Finite element analysis of excavation , 1985 .

[22]  H. Nagaoka,et al.  Finite Element Method Applied to Biot’s Consolidation Theory , 1971 .

[23]  Poul V. Lade,et al.  Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces , 1977 .

[24]  Scott W. Sloan,et al.  Substepping schemes for the numerical integration of elastoplastic stress–strain relations , 1987 .

[25]  S. Sloan,et al.  Refined explicit integration of elastoplastic models with automatic error control , 2001 .

[26]  K. Terzaghi Erdbaumechanik : auf bodenphysikalischer Grundlage , 1925 .

[27]  Gjw King,et al.  SIMULATION OF EXCAVATION USING FINITE ELEMENTS , 1974 .

[28]  Raymond B. Seed,et al.  NUMERICAL-SIMULATION OF EXCAVATION IN ELASTOPLASTIC SOILS , 1989 .

[29]  David M. Potts,et al.  An evaluation of substepping and implicit stress point algorithms , 1994 .

[30]  D. V. Griffiths,et al.  TRANSIENT ANALYSIS OF EXCAVATIONS IN SOIL , 1992 .

[31]  Hiroaki Nagaoka,et al.  VARIATIONAL PRINCIPLES FOR CONSOLIDATION , 1971 .

[32]  Ronaldo I. Borja,et al.  One-step and linear multistep methods for nonlinear consolidation , 1991 .

[33]  O. C. Zienkiewicz,et al.  Elasto‐plastic stress analysis. A generalization for various contitutive relations including strain softening , 1972 .