 
          956
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
            Proceedings of the 18
          
        
        
          
            th
          
        
        
          
            International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
          
        
        
          where: (
        
        
          
            σ
          
        
        
          
            1
          
        
        
          
            -σ
          
        
        
          
            3
          
        
        
          )
        
        
          max =
        
        
          asymptotic value of stress difference
        
        
          
        
        
          
        
        
          axial strain
        
        
          
            E
          
        
        
          
            i
          
        
        
          =
        
        
          initial tangent modulus i.e., the slope of
        
        
          
        
        
          
        
        
          
        
        
          curve
        
        
          While modeling, the initial Young’s modulus was assumed to
        
        
          be 5 MPa for dry sand considering the lower soil stiffness in
        
        
          small scale footings. Following Terzaghi’s (1943) suggestion
        
        
          that the Young’s modulus reduces by 50% in submerged sand,
        
        
          the initial Young’s modulus in this sand was taken as half of
        
        
          that of the dry sand.  The asymptotic stress difference relates
        
        
          closely to the ultimate strength of the soil mass and was taken as
        
        
          the bearing capacities of footings on dry and submerged sands
        
        
          obtained from pressure-settlement curves derived from the
        
        
          model tests. The test on circular footing placed on dense sand
        
        
          was modeled in this paper. The rise of water table depth was
        
        
          simulated using appropriate parameters and correction factors at
        
        
          various water table depths were observed.
        
        
          Figure 5. Water table correction factor diagram for 100 mm diameter
        
        
          circular footing obtained from experimental results and numerical
        
        
          modeling.
        
        
          Figure 5 shows the comparison of water table correction
        
        
          factor diagrams obtained from numerical modeling (dotted line)
        
        
          and experimental results (solid line). The diagrams were similar
        
        
          in shape, both being curved rather than linear as previously
        
        
          proposed by some researchers. Also, both the curves indicate
        
        
          that the effect of water table depth is negligible at a greater
        
        
          depth, whereas settlement increases rapidly as the water table
        
        
          gets closer to the footing base. The assumed soil parameters
        
        
          may contribute to the differences in correction factors obtained
        
        
          from numerical modeling and laboratory testing.
        
        
          6    SUMMARY AND CONCLUSIONS
        
        
          Laboratory model tests were carried out to investigate the effect
        
        
          of various factors on increase in shallow foundation settlement
        
        
          when subjected to fluctuation in ground water level. Additional
        
        
          settlements at various water table depths were observed and
        
        
          water table correction factor diagram for each case was
        
        
          obtained.
        
        
          The results show significant increase in settlement as the soil
        
        
          immediately below the footing level gets saturated. The results
        
        
          clearly indicated that the increment is higher in soils having
        
        
          lower density; however, the increment is significant even in
        
        
          dense soils. The effect of footing shapes on additional
        
        
          settlement in saturated sand was not evident from the results.
        
        
          Comparison of applied pressure-settlement curves in dry and
        
        
          submerged sands suggest that the additional settlement due to
        
        
          submergence increases with the stress level. Modeling a circular
        
        
          footing in FLAC and its comparison with test data confirms that
        
        
          the correction factor diagram is not linear, and the correction
        
        
          factor increases at a faster rate in the vicinity of the footing. The
        
        
          results obtained will help to understand how the fluctuating
        
        
          water level affects the shallow foundation settlements on
        
        
          granular soils and will allow designers to apply appropriate
        
        
          correction factors for water level rise.  There is a scope for
        
        
          further investigations to identify the effect of other important
        
        
          factors (e.g. depth of embedment, footing width, and soil
        
        
          gradation) in settlement behaviour of shallow footings with
        
        
          changing groundwater level. More laboratory testing with
        
        
          different initial densities might be useful to develop water table
        
        
          correction factor charts for varying relative densities and shear
        
        
          strength parameters. Also, advanced soil models can be used to
        
        
          study the effect of rising water table on shallow foundation
        
        
          settlement on cohesionless soils.
        
        
          7    REFERENCES
        
        
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