The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Voi. XXXVII. Part B5. Beijing 2008
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The main assumptions for the geostructural model used for the
analyses of the circuit wall are the following:
a) the Acropolis circuit wall is a typical case of gravity wall, b)
the structure of circuit wall simulates very well to that of a
jointed rock mass while the material of structural blocks are
typical natural geomaterial (mainly poros stone from the marly
limestone of Peireas): that simply means that the principles of
rock mechanics can successfully be applied to the analyses (e.g.
Medley, 2007), c) with the exception of limited parts of the
wall (areas with intense planimetric differentiation as comers,
areas with local peculiarities of backfill and so on) plain strain
conditions are prevailing, given the great length of the wall
comparing to its width; that is 2-D analyses can accurately
simulate the response of the wall at the various loading cases
examined, d) the initial values of mechanical properties of the
materials involved in the analyses are coming from the -
anyway limited- existing laboratory data, the experience of the
author on materials of similar origin, and the reported literature
as well; however, further interpretation of material properties
can originate from study of case histories, through adequate
back-analyses, e) the seismological data for the analyses are
based i) on historical recordings, ii) the relevant literature for
site response (Kramer 1996), iii) on the relevant provisions of
Greek antiseismic code (EAK, 2000), and, iv) on EC-8
provisions (Eurocode 8, 1998), taken into account the increased
importance factor for monuments and the topography effects of
the surface.
The following preliminary geostructural analyses concern two
characteristic cases in the north part of the circuit wall: a) a case
history from back-analysis of an intensely distorted part of the
wall, and b) the effect of Arrephorion reburial embankment on
the stability of the circuit wall in contact.
A. Preliminary Case Study of rotated/distorted cross-section of
the North Wall (figures 9 and 10):
wall base, according to the 3-D model is almost 7cm, and the
observed rotation is about 1°. In addition, the backfill of the
wall has a recently deposited extra charge from the arrangement
of scattered marbles.
Finally, it is worth noting that, according to archaeological
evidence, this part of the wall has sustained no visible
intervention in contrast with neighbouring wall sections.
The structural back-analysis performed in this case aims at the
reproduction of the distorted geometry, based on reasonable
assumptions for both the loading history of the section (soil
thrust, earthquake etc.) and the calibration of material
parameters involved. From the analysis results a 6.6cm
displacement at the top of wall, for acceleration 0.08g. This
value of assumed acceleration is in agreement with available
historical evidence in the area of Athens (Papazachos et al,
2003).
In the proximity of Arrephorion reburial exists an intensely
rotated section of the ancient North Wall with about 5m height.
The horizontal displacement of the wall crest in relation to the
Figure 9. North part of Acropolis circuit wall. Rotated section
of the circuit wall. By EJ.Egglezos
Horizontal
Displacement
-6.60e-002
-6.00e-002
-5.40e-002
-4.80e-002
-4.20e-002
-3.60e-002
-3.00e-002
-2.40e-002
-1.80e-002
-1.20e-002
-6.00e-003
0.00e+000
6.00e-003
Shear
Tension
Figure 10. Results from back analysis on distorted North Wall section (exaggerated).