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3D Electrical Resistivity Tomography for Noninvasive Characterization of Historical Walls

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Handbook of Cultural Heritage Analysis
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Abstract

Electrical resistivity is an important physical property that controls current flow in both natural and man-made materials. This property being sensitive to mineralogy, texture (porosity), fabric, and saturation can easily capture volume contrasts in the investigated material. This capability makes its utilization in the investigation of historical walls a powerful noninvasive tool that can show more insight on possible presence of invisible internal defects as well as on providing bulk information showing the internal distribution of mortar being employed by many engineers for consolidation. The large difference in resistivity values of mortar with respect to the building materials (cemented natural and/or artificial blocks) makes the application of the resistivity method feasible in view of recent advances in hardware and software technologies. This allows for the achievement of detailed 3D resistivity volumes of the otherwise inaccessible internal structure of the historical wall. In this chapter, the geoelectrical resistivity method and the electrical properties of the mortar used in consolidation will be introduced. In addition, two case studies from Italy will be presented.

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Abbreviations

AC:

Alternate current

DC:

Direct current

ERT :

Electrical resistivity tomography

GPR:

Ground penetrating radar

IP:

Induced polarization

k :

Geometric factor of an electrode array

NDT:

Nondestructive testing (used principally by engineering when dealing with indirect investigation of built structures)

ΔV :

Electric potential drop

λ:

Electrical anisotropy coefficient

ρ a :

Apparent resistivity

ρ :

Electrical resistivity

References

  1. Telford WM, Geldart LP, Sheriff RE (1990) Applied geophysics. Cambridge University Press, Cambridge, p 770

    Book  Google Scholar 

  2. Sheriff RE (2002) Encyclopedic dictionary of applied geophysics. SEG, vol 13, p 429. Geophysical references no. 13

    Book  Google Scholar 

  3. Reynolds MJ (2011) An introduction to applied and environmental geophysics. Willey-Blackwell, New York

    Google Scholar 

  4. Cardarelli E, Godio A, Morelli G, Sambuelli L, Santarato G, Socco V (2002) Integrated geophysical surveys to investigate the scarsella vault of St. John’s Baptistery in Florence. Lead Edge 21:467–470

    Article  Google Scholar 

  5. Abu-Zeid N, Botteon D, Cocco G, Santarato G (2006) Non-invasive characterisation of ancient foundations in Venice using the electrical resistivity imaging technique. NDT & E Int 39(1):67–75

    Article  Google Scholar 

  6. Res2Dinv: http://www.Geotomosoft.com. Last accessed Sept 2019

  7. Dahlin T, Zhou B (2004) A numerical comparison of 2D resistivity imaging with 10 electrodes arrays. Geophys Prospect 52:379–398

    Article  Google Scholar 

  8. Res3Dinv: http://www.Geotomosoft.com. Last accessed Sept 2019

  9. Ertlab. Software for the 2D/3D inversion of resistivity and Induced Polarisation data. http://www.geostudiastier.it. Last accessed Sept 2019

  10. Binley A.: R2 and R3 forward-inverse modelling code for 2D/3D current flow resistivity problems in an unstructured (tetrahedral) or structured (triangular prism) mesh. http://www.es.lancs.ac.uk/people/amb/Freeware/Freeware.htm. Last accessed Sept 2019

  11. Open Python GUI for R2 and sister codes. https://gitlab.com/hkex/pyr2 (2019). Accompanying paper can be found in https://www.researchgate.net/project/pyR2-GUI-for-inversion-codes-cR2-R2-cR3-and-R3

  12. Binley A (2015) Tools and techniques: DC electrical methods. In: Schubert G (ed) Treatise on geophysics, vol 11, 2nd edn. Elsevier, pp 233–259. https://doi.org/10.1016/B978-0-444-53802-4.00192-5

    Chapter  Google Scholar 

  13. Akca I. (2016) ELRIS2D: A MATLAB Package for the 2D Inversion of DC Resistivity/IP Data. Acta Geophysica 64(2): 443–462. https://doi.org/10.1515/acgeo-2015-0071

  14. ResInvM3D: a MATLAB package for inverting 3D Dc Resistivity and Electrical Resistivity Tomography data (2007). https://software.seg.org/2007/0001/index.html). Last accessed Sept 2019

  15. Santarato G, Dondi M, Vaccaro C (2000) Valutazione del degrado di cortine murarie in cotto mediante indagini di tomografia elettrica integrate con dati mineralogico-petrografici. In: Laterizi e terrecotte architettoniche: la conoscenza per la conservazione. University Press, Bologna, pp 79–83. [In Italian]

    Google Scholar 

  16. Pasetti L (2007) Studio di un’apparecchiatura per l’acquisizione delle proprietà elettriche dei materiali in modalità elettrostatica. Unpublished doctorate thesis, Department of Earth Sciences, University of Ferrara, 350 pp. [In Italian]

    Google Scholar 

  17. Abu Zeid N, Balducci M, Bartocci F, Regni R, Santarato G (2010) Indirect estimation of injected mortar volume in historical walls using the Electrical Resistivity Tomography. J Cult Herit 11:220–227

    Article  Google Scholar 

  18. Modena C, Valluzzi MR, Tongini R, Folli L, Binda L (2002) Design choices and intervention techniques for repairing and strengthening of the Monza cathedral bell-tower. Constr Build Mater 16:385–395

    Article  Google Scholar 

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Correspondence to Nasser Abu Zeid .

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Abu Zeid, N. (2022). 3D Electrical Resistivity Tomography for Noninvasive Characterization of Historical Walls. In: D'Amico, S., Venuti, V. (eds) Handbook of Cultural Heritage Analysis. Springer, Cham. https://doi.org/10.1007/978-3-030-60016-7_28

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