Page 30 - Numerical Analysis and Modelling in Geomechanics
P. 30

SURFACE DISPLACEMENTS OF AN AIRFIELD RUNWAY 11
            analysis was completed in less than two hours elapsed time using a workspace of
            approximately  400  Mb  on  a  SUN  workstation  connected  to  the  university
            network.  Three-dimensional  isoparametric  finite  elements  from  the  PAFEC
            37110 element library were chosen. These elements have curved faces and are
            provided in a 20-node brick shape and a 15-node wedge shape. Element nodes
            have  three  translatory  degrees  of  freedom  and  the  PAFEC  analysis  provides
            nodal displacements, nodal stresses, stresses at element centres and at the centres
            of element faces. The authors were satisfied that this was a realistic model and that
            any further refinement would not have made a significant impact on the analysis.
            Figure 1.3 shows a quarter finite element model of the camouflet for a detonation
            depth of 12.354 m.


                                 Camouflet determination
            The requirement to define the extent and the size of a camouflet under a runway
            is similar to the determination of a void under a highway. Voids under highways
            have implications for the maintenance, repair and safety of vehicles and people
            using the highway [42]. Using current technology, some voids in the subgrade
            under  a  highway  are  easily  detected,  while  others  are  problematic  [42].  To
            improve  the  detectability  of  highway  voids,  the  effectiveness  of  various
            geophysical and non-destructive testing methods such as ground probing radar, has
            been proved [42]. Other geophysical techniques such as seismic methods, which
            use  the  spectral  analysis  of  surface  waves,  microgravity  surveys  and  non-
            destructive test methods such as the falling weight deflectometer have yet to be
            evaluated.
              For highways, the number and types of load applications and vehicular speed
            are  usually  unknown,  as  is  the  time  of  the  initiation  of  the  void.  For  runways,
            construction  details  and  maintenance  data,  types  and  frequency  of  loading  are
            readily and accurately known. Further, the time at which a camouflet occurs is
            precisely  known.  What  is  required  is  unambiguous  evidence  to  identify  that
            a  camouflet  is  present  and  to  be  able  to  determine  its  size  and  its  effect  on
            runway support.
              Laboratory  tests  have  shown  that  for  a  saturated  clay  subgrade,  subjected  to
            static  and  superimposed  cyclic  load  of  low  frequency,  there  is  an  initial  rapid
            settlement constituting between 60% and 80% of the total permanent settlement
            and it is completed within the first ten cycles of loading [43]. This is followed by
            secondary settlement at a slower rate, which continues for up to 15,000 to 20,000
            load cycles until equilibrium is reached. Settlement is then practically negligible
            for  all  other  load  cycles.  For  runways,  it  is  possible  to  obtain  deflection  and
            settlement measurements as heavy aircraft traverse the length of the undamaged
            runway.  These  deflection  and  settlement  records  allow  the  determination  of
            whether the runway, prior to the introduction of a camouflet, was in its initial,
            secondary or equilibrium settlement stages.
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