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deformation occurred. Thus, the threshold of the rate of temperature change (RTC) at which thermal shock fracturing occurs varies among studies. However, in many cases, the threshold value is set at 2 °C/ min (Matsuoka et al. 2017). At such a threshold, thermal 180shock fracturing of stone is likely to occur outdoors due to solar radiation.

      Minerals have various coefficients of thermal expansion, therefore, heating leads to the formation of thermal stresses in a polycrystalline mineral assemblage. The thermal stress is a result of the anisotropy in the thermal expansion properties of different minerals. As a result, microcracks initiate at the mineral grain boundaries. To capture microcrack occurrence along such grain boundaries, the use of acoustic emission (AE) technology in geotechnical engineering has been developed during recent years. When a material is subjected to a stress and cracks develop, a transient elastic wave is produced by a sudden redistribution of stress in the material. This phenomenon of transient elastic wave generation is termed acoustic emission.

      The AE technique is effective in that it is possible to nondestructively investigate the progress of stone degradation. However, there are few measurement cases in the field, and monitoring is an issue. To monitor crack growth in a brittle material, therefore, an AE technique that picks up the elastic wave is among the unique technologies as a nondestructive technique. Accordingly, herein, we estimate thermally induced weathering of stone via nondestructive monitoring of AE concurrently generated with microcrack formation.

       Description of rock specimens

      Rock types that have frequently been used for stone items or edifices important to cultural heritage are granite, marble, and sandstone. We selected these three rock types as test rock.

      The first rock selected is a granite collected in Inada, Japan, and which is used for buildings and tombstones. The second is a marble (Bianco Carrara) from Italy used for sculptures and building decor. The third is a sandstone from Cambodia used for the historical temples of Angkor, a World Heritage Site.

      These selected rocks have different characteristics as follows. The granite selected has a polymineralic structure and is mainly composed of quartz, plagioclase, microcline, biotite, and amphibole. Although the average mineral size is approximately 2 mm, some quartz and plagioclase have a grain size > 5 mm. Meanwhile, the marble is practically monomineralic (calcite) metamorphic rock. The average size of the calcite is < 0.5 mm. Major minerals in the sandstone are quartz and albite; its average size is < 0.5 mm. Clinochlore and illite occur between the major minerals as a matrix of the sandstone. At the microscopic level, the granitic minerals have cleavage planes and previously formed intramineral microcracks. Regarding the marble and sandstone, the mineral cleavage planes and microcracks are obscure.

      Regarding the physical and mechanical properties of samples, specific gravity ranges from 2.60 for the granite to 2.72 for the marble, and the porosity shows 0.64 % for the granite, 2.23 % for the marble, and 13.5 % for the sandstone. Mechanically, the granite is more brittle, and the granite and sandstone (9.4 MPa) have a higher tensile strength than that of the marble (6.4 MPa).

      The P-wave velocity was determined for each specimen (50 mm in diameter and 100 mm in height) before testing using a TICO instrument (Proceq). The velocity shows 4,654 m/s for the granite, 4,410 m/s for the marble, and 3,092 m/s for the sandstone.

       Methodology for the AE and strain monitoring

      To monitor the AE and strain, specimens were formed into a cylindrical shape with a diameter of 50 mm and a length of 100 mm. Before the test, each specimen was washed using water to remove contaminants and dried for 10 days in a vacuum desiccator. The specimen was installed in a temperature-controlled chamber after setting up equipment for AE, strain, and air and rock surface temperature measurement. The AE and strain data were recorded using a laptop computer.

      The AE equipment employed during the test consisted of an amplifier and a piezoelectric sensor (Fig. 1). In this study, peak amplitude, which is an important parameter in the test because it determines AE signal detectability, was continuously monitored during the entire test period at 1/100 s. 181The sensor was placed on an axis face of the specimen. Notably, vaseline was smeared in the contact area of the sensor and specimen to ensure their coupling effect; then, a c-clamp was used to fix the sensor on the specimen.

      Figure 1: A schematic diagram of the AE and strain monitoring system.

      Self-temperature-compensated strain gauges (10 mm in length) were installed on the center of the specimen in the axial and lateral directions using a three-wire system to reduce thermally induced apparent strain. A dedicated adhesive was used to glue strain gauges to the specimens. The specimen strain was continuously recorded using a measuring unit.

      The surface temperature of the specimens was monitored at a 1-s interval using a thermocouple sheet and logger. Air temperature in the chamber was also recorded by a logger at a 10-s interval.

      The chamber was programed with a heating–cooling range of 4–84 °C and an RTC of ±2 °C/min based on field measurements. Namely, Peel (1974) reported a maximum rock surface temperature (dark sandstone) of 79.3 °C in the Tibesti Mountains. This temperature is thought to be the highest rock surface temperature ever recorded. Meanwhile, Waragai (2019) reported the results of field measurements conducted during the dry season at Cambodia. The range of the surface temperature of the sandstone specimen varied from a 1.50 °C/min increasing rate to a −1.88 °C/min decreasing rate. As possible temperatures due to insolation, the heating–cooling range and RTC were therefore set inside the chamber: the specimens were heated from 4 °C to 84 °C over 40 min after cooling from room temperature to 4 °C over 8 h and 8 min. Then, the specimens were maintained at 84 °C for 4 h and then cooled to the initial temperature of 4 °C over 40 min. In the test, the temperature change of 4–84 °C was repeated four times. After that, the P-wave velocity of the specimen was measured using a TICO.

       Results and Discussion

       AE amplitude and strain

      Generally, the thermal expansion behavior of rock is affected by the temperature history. To avoid the influence of such a history, termed the Kaiser effect, the peak amplitude of the AE (mV) within the large temperature change that the specimens were first exposed to is shown in Figure 2. The air and rock surface temperatures shown in Figure 2 are data obtained by thinning out every 10 s from the data recorded at each time interval. Regarding 182the AE signal, the integrated peak amplitude for 10 s, excluding the peak amplitude < 100 mV from the measured data, is shown.

      Figure 2: The AE amplitude and the rock and air temperatures versus time evolutions of the rock samples. A: granite, B: marble, C: sandstone.

      There is a difference in the size of the amplitude and the appearance frequency over time of the AE amplitude depending on the rock types; however, it can be seen that the AE signal occurred in all specimens when the temperature increased and decreased. Following the test, no apparent damage such as cracks was found in the specimens. However, the P-wave velocity decreased by 25 % for the granite (3,476 m/s), 7 % for the marble (4,090 m/s), and 0.1 % for the sandstone (3,014 m/s). Therefore, the AE signal is considered to correspond to stress waves when microcracks form at grain boundaries.

      The range of the strain due to the temperature change is the largest for the strains of granite (the range of axial strain = 380) followed by that of the marble (351) and sandstone (262). The occurrence of the AE amplitude corresponds to this amount of strain, and the maximum peak amplitude is greatest in the granite (4,140 mV), followed by that of the marble (1,597 mV) and sandstone (1,000 mV). Excluding the effects of crack opening and closing due to temperature changes and the hysteresis effect, the amount of strain and generation of AE signals are closely related. The porosity is lowest for the

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