Formulation of a three dimensional analytical solution to evaluate stresses in backfilled vertical narrow openings

The mechanical response of backfill in narrow openings is significantly influenced by its interaction with the surrounding walls. Previous work conducted on backfilled trenches and mining stopes indicates that the theory of arching can be used to estimate earth pressures in narrow, vertical backfilled openings. In this paper, a 3D analytical solution is proposed to evaluate the state of stress along the boundaries of the openings. The proposed solution, based on a generalized version of the Marston approach, is compared with numerical modeling and laboratory experimental results taken from the literature. A discussion follows on some particular features and limitations of the analytical solutions.

[1]  K. Terzaghi STRESS DISTRIBUTION IN DRY AND IN SATURATED SAND ABOVE A YIELDING TRAP-DOOR , 1936 .

[2]  Dan Kump Backfill -- Whatever it takes , 2001 .

[3]  J. Atkinson,et al.  Model tests on shallow tunnels in sand and clay : 7F, 9R. Tunnels and tunnelling, July, 1974, P28–32 , 1974 .

[4]  K. Terzaghi Theoretical Soil Mechanics , 1943 .

[5]  Li Li,et al.  Modeling arching effets in narrow backfilled stopes with FLAC , 2003 .

[6]  Sam Frydman,et al.  Earth Pressure on Retaining Walls Near Rock Faces , 1987 .

[7]  P. L. Bransby,et al.  SIDE FRICTION IN MODEL RETAINING-WALL EXPERIMENTS , 1975 .

[8]  G. Struble,et al.  The evaluation of cemented rockfill spans at the Murray Mine , 1999 .

[9]  G. C. Gardner,et al.  Limiting spans for arching of bulk materials in vertical channels , 1962 .

[10]  Sven Knutsson Stresses in the hydraulic backfill from analytical calculations and in-situ measurements , 1981 .

[12]  R J Mitchell Earth Structures Engineering , 1983 .

[13]  Richard L. Handy Anatomy of an Error , 2004 .

[14]  Kousick Biswas,et al.  REVIEW OF CURRENT HIGH DENSITY PASTE FILL AND ITS TECHNOLOGY , 2002 .

[15]  A. H. Birks,et al.  Measurement of static stresses on the wall of a cylindrical container for particulate solids , 1987 .

[16]  Van Horn A STUDY OF LOADS ON UNDERGROUND STRUCTURES , 1964 .

[17]  John Colin Richards,et al.  The storage and recovery of particulate solids : a report of a working party of the Institution of Chemical Engineers , 1966 .

[18]  G. E. Blight,et al.  Pressures exerted by materials stored in silos: part II, fine powders , 1986 .

[19]  M. Aubertin,et al.  Measurement and prediction of internal stresses in an underground opening during its filling with cemented fill , 2004 .

[20]  Roy E. Hunt,et al.  GEOTECHNICAL ENGINEERING ANALYSIS AND EVALUATION , 1986 .

[21]  Herbert H. Einstein,et al.  Determination of Vertical Loading on Underground Structures Based on an Arching Evolution Concept , 1999 .

[22]  B. Ladanyi,et al.  A STUDY OF THE TRAP-DOOR PROBLEM IN A GRANULAR MASS , 1969 .

[23]  A. J. Valsangkar,et al.  Earth pressures on unyielding retaining walls of narrow backfill width , 2001 .

[24]  Li Li,et al.  Interaction Between Backfill and Rock Mass in Narrow Stopes Interacción Entre el Relleno y la Masa de Roca en Excavaciones Escalonadas Estrechas , 2003 .

[25]  Michel Aubertin,et al.  Development of a 3D analytical solution to evaluate stresses in backfilled vertical openings , 2005 .

[26]  David F. McCarthy,et al.  Essentials of Soil Mechanics and Foundations: Basic Geotechnics , 1982 .

[27]  Li Li A 3 D ANALYTICAL SOLUTION FOR EVALUATING EARTH PRESSURES IN VERTICAL BACKFILLED STOPES , 2004 .

[28]  A Marston,et al.  THE THEORY OF EXTERNAL LOADS ON CLOSED CONDUITS IN THE LIGHT OF THE LATEST EXPERIMENTS , 1930 .

[29]  R. Handy The Arch in Soil Arching , 1985 .

[30]  Stephen C. Cowin,et al.  The Theory of Static Loads in Bins , 1977 .

[31]  D. P. Krynine,et al.  Discussion of Stability and Stiffness of Cellular Cofferdams by Karl Terzaghi , 1945 .

[32]  H. Janssen Versuche uber Getreidedruck in Silozellen , 1895 .