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Abstract

The paper presents a solution for testing the humidity of a brick wall using electrical tomography. Different prototypes of measurement systems based on the device with hybrid tomography were prepared. Prepared constructions contain 16 electrodes in a brick wall on one side and two-sided. Electrical tomography, which is based on the measurement of potential difference, can be used to check historical buildings. The way in which we can determine the condition of a wall of moisture depends on the fact that each material has a unique conductivity. The use of modern tomographic techniques in combination with topological algorithms will allow non-destructive and non-destructive very accurate spatial assessment of the humidity level. The proposed application uses the Total Variation, Gauss–Newton and level set method to solve the inverse problem in electrical tomography.

Keywords

Electrical tomography inverse problem level set method hybrid methods

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References

Adler

and Lionheart

, Uses and abuses of EIDORS: An extensible software base for EIT, Phys. Meas. 27 (2006), 25–42.

Duda

Adamkiewicz

and Rymarczyk

, Nondestructive method to examine brick wall dampness, in: International Interdisciplinary Phd Workshop 2016, 2016, pp. 68–71.

Filipowicz

S.F.

and Rymarczyk

, Measurement methods and image reconstruction in electrical impedance tomography, Przeglad Elektrotechniczny 88(6) (2012), 247–250.

Filipowicz

S.F.

and Rymarczyk

, The shape reconstruction of unknown objects for inverse problems, Przeglad Elektrotechniczny 88(3A) (2012), 55–57.

Lechleiter

and Rieder

, Newton regularizations for impedance tomography: convergence by local injectivity, Inverse Problems 24(6) (2008), 1967–1987, doi:10.1088/0266-5611/24/6/065009.

Holder

D.S.

, Introduction to biomedical electrical impedance tomography, in: Electrical Impedance Tomography Methods, History and Applications, Institute of Physics, Bristol, 2005.

Hoła

Matkowski

Schabowic

Sikora

Nita

and Wójtowicz

, Identificationof moisture content in brick walls by means of impedance tomography, COMPEL 31(6) (2012), 1774–1792.

Ito

Kunish

and Li

, The level-set function approach to an inverse interface problem, Inverse Problems 17(5) (2001), 1225–1242.

Karhunen

Seppänen

Lehikoinen

Monteiro

P.J.

and Kaipio

J.P.

, Electrical Resistance Tomography Imaging of Concrete, Cement and Concrete Research 40 (2010), 137–145.

10.

Osher

and Sethian

J.A.

, Fronts propagating with curvature dependent speed: algorithms based on Hamilton–Jacobi formulations, J. Comput. Phys. 79 (1988), 12–49.

11.

Rymarczyk

, Using electrical impedance tomography to monitoring flood banks, International Journal of Applied Electromagnetics and Mechanics 45 (2014), 489–494.

12.

Rymarczyk

, New methods to determine moisture areas by electrical impedance tomography, International Journal of Applied Electromagnetics and Mechanics 37(1-2) (2016), 79–87.

13.

Rymarczyk

Adamkiewicz

Duda

Szumowski

and Sikora

, New electrical tomographic method to determine dampness in historical buildings, Archives of Electrical Engineering 65(2) (2016), 273–283.

14.

Rymarczyk

Tchórzewski

Adamkiewicz

Duda

Szumowski

and Sikora

, Practical implementation of electrical tomography in a distributed system to examine the condition of objects, IEEE Sensors Journal (2017), doi:10.1109/JSEN.2017.2746748.

15.

Soleimani

Mitchell

C.N.

Banasiak

Wajman

and Adler

, Four-dimensional electrical capacitance tomography imaging using experimental data, Progress in Electromagnetics Research 90 (2009), 171–186.

16.

Smolik

, Forward problem solver for image reconstruction by nonlinear optimization in electrical capacitance tomography, Flow Measurement and Instrumentation 21 (2010), 70–77.

17.

Tai

Chung

and Chan

, Electrical impedance tomography using level set representation and total variational regularization, Journal of Computational Physics 205(1) (2005), 357–372.

18.

Voutilainen

Lehikoinen

Vauhkonen

and Kaipio

J.P.

, Three-dimensional nonstationary electrical impedance tomography with a single electrode layer, Measurement Science and Technology 21 (2010), 035107.

19.

Wajman

Fiderek

Fidos

Jaworski

Nowakowski

Sankowski

and Banasiak

, Metrological evaluation of a 3D electrical capacitance tomography measurement system for two-phase flow fraction determination, Meas. Sci. Technol. 24 (2013).

20.

Wang

, Industrial Tomography: Systems and Applications, Elsevier, 2015.