with the scissors device over a travel length of 50 mm and the rail device over a length of 170 mm.
Figure 6: Drilled holes in the treated areas, and the orientations of the transmission waves.
A Hořice quartz sandstone masonry wall was treated, in limited and well-defined areas, with three types of agent: the Remmers KSE 300 – without solvent, with 30 % gel deposition potential; the Remmers KSE 510 – without solvent, with 45 % 237gel deposition potential; the Porosil Z – containing solvent (ethanol), acid catalyst, with 30 % gel deposition potential. The consolidants were applied to the sandstone blocks by brushing. Then a set of holes was drilled.
The impact of the consolidation effect is clearly visible from the obtained data in Figure 7, as are the gradient of its distribution along the depth profile starting from the surface and the attained penetration depth.
Figure 7: US velocities in stones treated with Porosil, KSE 300, and KSE 510 – all applied by brushing – and an untreated stone.
Conclusions
This method provides restorers with a unique capability to monitor the progress and results of consolidation. Measurement is quick and reliable, though problems may arise involving hidden material irregularities, unknown moisture distribution, or gross imperfections along the hole surfaces preventing the necessary probe contact.
Acknowledgement
This paper is based on the results of research supported by the institutional project RVO 68378297.
References
Drdácký, M. F., Slížková, Z. Performance of glauconitic sandstone treated with ethyl silicate consolidation agents, In Proc. of the 11th Int. Congr. on deter. and cons. of stone – J. W.Łukaszewicz, P.Niemcewicz (eds.), Vol.2. Toruń: Nicolaus Copernicus University Press; 2008. pp.1205–1212.
Sasse, H. R., Snethlage, R. Evaluation of stone consolidation treatments. Science and Technology for Cultural Heritage. 1996;5(1):85–92.
S. Garia, A. K. Pal, K. Ravi, A. M. Nair: A comprehensive analysis on the relationships between elastic wave velocities and petrophysical properties of sedimentary rocks based on laboratory measurements. Journal of Petroleum Exploration and Production Technology. 2019, Volume 9, Issue 3, pp. 1869–1881.
Freund D.: Ultrasonic compression and shear velocities in dry clastic rocks as a function of porosity, clay content and confining pressure. Geophys. J. Int. (1992), 108, 125–135.
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239
A NEW SYSTEM FOR FAST ULTRASOUND-TOMOGRAPHY AT MARBLE SCULPTURES
Frank Tiefensee, Christoph Degel, Peter Weber, Wolfgang Bost, Manfred Moses, Marc Schmieger
IN: SIEGESMUND, S. & MIDDENDORF, B. (EDS.): MONUMENT FUTURE: DECAY AND CONSERVATION OF STONE.
– PROCEEDINGS OF THE 14TH INTERNATIONAL CONGRESS ON THE DETERIORATION AND CONSERVATION OF STONE –
VOLUME I AND VOLUME II. MITTELDEUTSCHER VERLAG 2020.
Fraunhofer-Institute for Biomedical Engineering (IBMT), St. Ingbert, Germany
Abstract
The authors present a new ultrasonic system for the automatic determination of tomography on stone. The tomography can be determined with up to 32 ultrasonic transducers in a variable length holding system. The positions of the sensors are determined with a magnetic field tracking or optically with Aruco markers. The signal control is done by a single channel electronic with 32x multiplexer. In this way the determination of a tomography from 32 measuring positions could be reduced to approx. 1 hour.
Introduction
For about 50 years, various ultrasound-based methods have been developed for the examination of stone in the field of cultural heritage and building technology [1]. The review article by Chiesura et al. [2] and the book Architecture in Stone by S. Siegesmund and R. Snethlage [3] provide an informative overview. The speed of sound is the most widely used parameter in the investigation of marble, particularly the speed of sound of longitudinal waves used in 70 % of the articles sighted. The speed of ultrasound depends on the mineralogical, physical and mechanical properties [4], the degree of saturation of water [4, 5] and the degree of aging. The speed of sound in marble varies between 6000 m/s for freshly quarried material and 1500 m/s for heavily weathered material. Therefore, the determination of the speed of sound provides valuable information about the properties and condition of the marble. The most widespread method is the measurement of the sound velocity of longitudinal waves in transmission. Two ultrasonic transducers are mounted opposite each other on the stone to be examined and the sound velocity between them is determined. The transmission method can be modified in various ways by varying the arrangement of the transmitter and receiver in order to adapt them to different measurement tasks. There are, for example, the so-called radial transmission [6], the semi direct transmission [7] or refraction methods with surface waves [7]. A very meaningful technique is ultrasound tomography. It allows the representation of velocity distributions in cross-sections of marble objects and thus the assessment of the course of weathering [8] and the success of conservation measures [9]. Up to now, the measured values for the calculation of a tomography have been recorded manually with (digital) calipers and single-channel electronics with two ultrasonic transducers between 46 kHz and 250 kHz. First, the transmitter transducer is in any measuring position and the receiver transducer 240successively takes up the other measuring positions in the same plane. For each measuring position, the velocity of sound between the transmitter and receiver is determined. The amount of sound velocities that can be assigned to a transmitter position is called projection. After the data of the first projection has been acquired, the transmitter is moved to the next measuring position and the data set of the second projection is measured. A tomography of 32 measuring positions consists of 32 projections, i. e. 31 × 32 = 992 individual measurements. It is easy to understand that recording the data of an ultrasound tomography is very time-consuming and can take more than one working day. The ultrasound system presented here for the first time reduces the required time for a tomography with 32 measuring points to approximately 1 hour.
Methods
The new ultrasonic system consists of the following components: up to 32 ultrasonic transducers with a variable-length holding system, single-channel electronics with 32x multiplexer, a magnetic field tracking system and software for system control and tomography calculation. Figure 1 shows the ultrasound system mounted on a marble colomn of the Marmorpalais in Potsdam. The support system with the ultrasonic transducers (green) is mounted on the marble column, the electronics on the table in the background and the magnetic field generator on the wooden stand.
