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.
Similar content being viewed by others
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
Telford WM, Geldart LP, Sheriff RE (1990) Applied geophysics. Cambridge University Press, Cambridge, p 770
Sheriff RE (2002) Encyclopedic dictionary of applied geophysics. SEG, vol 13, p 429. Geophysical references no. 13
Reynolds MJ (2011) An introduction to applied and environmental geophysics. Willey-Blackwell, New York
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
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
Res2Dinv: http://www.Geotomosoft.com. Last accessed Sept 2019
Dahlin T, Zhou B (2004) A numerical comparison of 2D resistivity imaging with 10 electrodes arrays. Geophys Prospect 52:379–398
Res3Dinv: http://www.Geotomosoft.com. Last accessed Sept 2019
Ertlab. Software for the 2D/3D inversion of resistivity and Induced Polarisation data. http://www.geostudiastier.it. Last accessed Sept 2019
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
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
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
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
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
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]
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]
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
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
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 Springer Nature Switzerland AG
About this entry
Cite this entry
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-60016-7_28
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-60015-0
Online ISBN: 978-3-030-60016-7
eBook Packages: Earth and Environmental ScienceReference Module Physical and Materials ScienceReference Module Earth and Environmental Sciences