Ultrasonic Properties of a Stone Architectural Heritage and Weathering Evaluations Based on Provenance Site

: In this study, we performed customized ultrasonic measurements of the stone block foundation of the Sungnyemun Gate, which is representative of the stone architectural heritage in the Republic of Korea. Furthermore, the weathering evaluation standards, which are extensively used in stone heritage, were improved considering the type of rock and its provenance site. In particular, the absolute weathering grade used the ultrasonic velocity (P-wave) of a universal hard rock, whereas the relative weathering grade used the differences between the ultrasonic velocities of the materials in the stone block foundation of the Sungnyemun Gate (weathered stone) and the fresh rocks in the provenance. Among these, the absolute weathering grade was observed to be constant regardless of the type of rock; however, the relative weathering grade varied depending on the type dof rock. Because the average ultrasonic velocity of the original blocks of the stone block foundation of the Sungnyemun Gate was 2665 m/s, it was estimated that their ultrasonic velocity reduced by approximately 2.1 m/s per year as compared to that observed in case of fresh rocks (average 3932 m/s) in the provenance site. Furthermore, the weathering evaluation exhibited that there were approximately two stages of difference between the original blocks and the new blocks. As compared to the relative weathering grade, the absolute weathering grade was observed to underestimate the overall ultrasonic velocity of the stone block foundation of the Sungnyemun Gate. This study presents a customized method for performing ultrasonic measurements and for evaluating weathering. It is assumed that the results of this study will be extensively used in diagnosing and monitoring the stone architectural heritage. compared


Introduction
The physical and structural deformation of stone architectural heritage is generally caused by natural weathering and short-term damage. Fortunately, the rocks are considerably durable because they have been able to endure several million years of geological activity; therefore, long-term weathering does not considerably impact the stability of a stone architectural heritage. However, structural defects, environmental changes, and intentional damage are important factors that cause the short-term damage of a stone architectural heritage. Therefore, evaluating and monitoring the durability of constituent rocks against weathering and damage are essential to maintain the stability of a stone architectural heritage that is exposed outdoors, thereby preserving its original form.
The most extensively known methods for evaluating the weathering of a stone architectural heritage include visual inspection and non-destructive testing. Although visual inspection based on a preliminary survey is very useful for precisely categorizing and mapping the defects, the scope of visual inspection is limited because it depends on the visual resolution and because it only detects the surface [1,2]. Further, non-destructive testing is advantageous to quantitatively determine the physical and structural defects that are observed from the surface to the inside of the structure.
However, ultrasonic measurements are influenced by various factors such as the petrological characteristics and shape of the stone heritage, the external environment, the measurement conditions, and the level of experience of the user. Thus, researchers have attempted to improve the reliability of these measurements by conducting experiments related to the moisture content [18][19][20][21] and anisotropy [22][23][24] of the rocks, the surface roughness [25], the direct and indirect correlation of ultrasonic waves [26][27][28][29], and the effects of the probe [30], couplant [25], and measuring operator [31].
Such studies have made a significant contribution to set the conditions for performing ultrasonic measurements. However, there are still several issues related to analysis and evaluation of weathering considering the material characteristics and the conservation conditions of a stone architectural heritage. This is because even a stone architectural heritage can include different types of stones; further, if a stone architectural heritage shows poor conservation condition, new stones may be used to replace the weathered stones during restoration. Furthermore, different types of rock exhibit different physical properties; even identical types of rock may exhibit different absolute strengths depending on its origin. Therefore, the weathering grade standards that consider the type of rock and the conservation condition of a target heritage should be established to evaluate the weathering of a stone architectural heritage based on ultrasonic measurements [32][33][34][35][36][37].
In this study, the conservation condition of the surface of the stone block foundation of the Sungnyemun Gate, one of the most representative stone buildings in the Republic of Korea, was primarily examined. The weathering of each block was quantitatively evaluated by performing ultrasonic measurements. First, a detailed visual inspection, a simple testing, and an analysis of contaminants were conducted to diagnose the conservation condition. Further, suitable customized conditions were established for performing the ultrasonic measurements of the stone block foundation of the Sungnyemun Gate, and the reliability of weathering evaluation was improved by considering the material characteristics and the provenance of the constituent stone materials. Because this study presents a customized model for performing ultrasonic measurements and for evaluating weathering, it is assumed that the results of these measurements will be extensively used in diagnosing and monitoring the stone architectural heritage.

Historical Implications
The Sungnyemun Gate, which is the front gate of the Seoul City Wall (included in the temporary UNESCO World Heritage list), is one of the oldest fortress gates in the Republic of Korea. The structure has a stone block foundation that is built with rectangular stone materials with an arch in the center. On top, there is a gatehouse with five spaces at the front and two spaces at the side. Construction began in 1396 (year 5 of the reign of King Taejo) and was completed in 1398. Partial repair work was undertaken in 1448 (year 40 of the reign of King Sejong) and in 1479 (year 10 of the reign of King Seongjong).
For the subsequent 500 years or so, the original form of the gate was well maintained; however, in the early 1900s, the expansion of roads and the operation of streetcars led to the demolition of the left and right walls of the gate. During the Korean War in 1950, the stone block foundation and gatehouse were heavily damaged due to the fighting and a considerable part of the gate was destroyed. Between 1961 and 1963, major repair work was conducted during which the partial disassembly and restoration resulted in replacing some stone blocks with new ones (Figure 1a,b). Additionally, in February 2008, a fire broke out, which destroyed more than half of the gatehouse; however, fortunately, the stone block foundation was only slightly damaged ( Figure 1c). The restoration work was completed in 2013 after five years of repair work. Since then, the gate has been maintained in a stable manner (Figure 1d). Appl. Sci. 2022, 12, x FOR PEER REVIEW 3 of 17 considerable part of the gate was destroyed. Between 1961 and 1963, major repair work was conducted during which the partial disassembly and restoration resulted in replacing some stone blocks with new ones (Figures 1a,b). Additionally, in February 2008, a fire broke out, which destroyed more than half of the gatehouse; however, fortunately, the stone block foundation was only slightly damaged ( Figure 1c). The restoration work was completed in 2013 after five years of repair work. Since then, the gate has been maintained in a stable manner (Figure 1d).

Material Characteristics
The petrological properties of constituent stones in the stone block foundation of the Sungnyemun Gate have been detailed by Jo et al. [38], based on which we can summarize the material characteristics. Initially, the categorization of original and new blocks based on the repair work that was conducted after the Korean War exhibited that 60 (20.7%) out of 290 blocks on the south face and 28 (7.4%) out of 375 blocks on the north face were replaced with new blocks. Thus, the overall percentages of original and new blocks were observed to be approximately 86.8% and 13.2%, respectively ( Figure 2).

Material Characteristics
The petrological properties of constituent stones in the stone block foundation of the Sungnyemun Gate have been detailed by Jo et al. [38], based on which we can summarize the material characteristics. Initially, the categorization of original and new blocks based on the repair work that was conducted after the Korean War exhibited that 60 (20.7%) out of 290 blocks on the south face and 28 (7.4%) out of 375 blocks on the north face were replaced with new blocks. Thus, the overall percentages of original and new blocks were observed to be approximately 86.8% and 13.2%, respectively ( Figure 2). considerable part of the gate was destroyed. Between 1961 and 1963, major repair work was conducted during which the partial disassembly and restoration resulted in replacing some stone blocks with new ones (Figures 1a,b). Additionally, in February 2008, a fire broke out, which destroyed more than half of the gatehouse; however, fortunately, the stone block foundation was only slightly damaged ( Figure 1c). The restoration work was completed in 2013 after five years of repair work. Since then, the gate has been maintained in a stable manner (Figure 1d).

Material Characteristics
The petrological properties of constituent stones in the stone block foundation of the Sungnyemun Gate have been detailed by Jo et al. [38], based on which we can summarize the material characteristics. Initially, the categorization of original and new blocks based on the repair work that was conducted after the Korean War exhibited that 60 (20.7%) out of 290 blocks on the south face and 28 (7.4%) out of 375 blocks on the north face were replaced with new blocks. Thus, the overall percentages of original and new blocks were observed to be approximately 86.8% and 13.2%, respectively ( Figure 2).  The constituent materials of the stone block foundation of the Sungnyemun Gate are medium-to coarse-grained granite. Based on the petrographic features using visible observation and polarizing microscopy, the original blocks comprise pink feldspar granite (60.5%) and leucogranite (26.2%), whereas the new blocks only comprise pink feldspar granite ( Figure 2). By considering that these rocks are almost identical with each other in terms of their mineralogical and geochemical characteristics even though they differ in terms of color and magnetic susceptibility, we infer that all of these rocks originate from magma of the same type. An analysis of the provenance of the stone materials that were located around the Seoul City Wall showed that both the pink feldspar granite and the leucogranite originated from within 4 km of the Sungnyemun Gate [38].

Physical Deterioration
The stone block foundation of the Sungnyemun Gate exhibits physical damage, mainly cracks, blistering, scaling, granular disintegration, fragmentation, and bullet traces by a gunfight. As depicted in the physical deterioration map in Figure 3, the frequency of cracks on the north face was approximately three times that observed on the south face. The cracks are concentrated in the original blocks and can be divided into hair, blistering, and structural cracks. Further, the crack index proposed by Jo and Lee [39] was calculated. The hair crack index was 0.16 on the south face and 1.09 on the north face, the blistering crack index was 1.76 on the south face and 3.06 on the north face, and the structural crack index was 0.15 on the south face and 0.75 on the north face. The blistering cracks showed the most damage. There was less crack damage on the south face, where a higher number of original blocks was replaced with new blocks as compared to the north face. The constituent materials of the stone block foundation of the Sungnyemun Gate are medium-to coarse-grained granite. Based on the petrographic features using visible observation and polarizing microscopy, the original blocks comprise pink feldspar granite (60.5%) and leucogranite (26.2%), whereas the new blocks only comprise pink feldspar granite ( Figure 2). By considering that these rocks are almost identical with each other in terms of their mineralogical and geochemical characteristics even though they differ in terms of color and magnetic susceptibility, we infer that all of these rocks originate from magma of the same type. An analysis of the provenance of the stone materials that were located around the Seoul City Wall showed that both the pink feldspar granite and the leucogranite originated from within 4 km of the Sungnyemun Gate [38].

Physical Deterioration
The stone block foundation of the Sungnyemun Gate exhibits physical damage, mainly cracks, blistering, scaling, granular disintegration, fragmentation, and bullet traces by a gunfight. As depicted in the physical deterioration map in Figure 3, the frequency of cracks on the north face was approximately three times that observed on the south face. The cracks are concentrated in the original blocks and can be divided into hair, blistering, and structural cracks. Further, the crack index proposed by Jo and Lee [39] was calculated. The hair crack index was 0.16 on the south face and 1.09 on the north face, the blistering crack index was 1.76 on the south face and 3.06 on the north face, and the structural crack index was 0.15 on the south face and 0.75 on the north face. The blistering cracks showed the most damage. There was less crack damage on the south face, where a higher number of original blocks was replaced with new blocks as compared to the north face.  The deterioration of the stone block foundation due to blistering was examined by tapping testing and quantification modeling [40] based on a thermographic analysis. The blistering on the south face was 9.4% on the original blocks and 0.9% on the new blocks, whereas the blistering on the north face was 3.9% on the original blocks and 0.1% on the Appl. Sci. 2022, 12, 1498 5 of 16 new blocks. It can be assumed that the reason for the relatively higher blistering damage on the south face as compared to that observed on the north face was the gun battle that occurred near the south face in 1950 during the Korean War, which may have caused blistering ( Figure 3).
Additionally, scaling was 7.1% (6.6% on the original blocks and 0.5% on the new blocks) on the south face and 7.9% (7.8% on the original blocks and 0.1% on the new blocks) on the north face. Fragmentation was only visible on the arch of the south face. Disintegration was 41.1% on the south face (37.8% on the original blocks and 3.3% on the new blocks) and 37.6% on the north face (36.5% on the original blocks and 1.1% on the new blocks). Even though the disintegration is similar for each face, it is concentrated in the original blocks.

Surface Contamination and Discoloration
Because of the complex interaction of discoloration that is caused by natural chemical weathering and contaminants in the air, it is difficult to verify the color and texture of the original rock that is used in the stone block foundation of the Sungnyemun Gate. A majority of the surface contamination and discoloration has resulted in a brownish color because of the weathering of ferruginous minerals, dark brown rust from the iron plates between the blocks, black crusts due to exhaust gases from automobiles, efflorescence caused by the materials used for repairs, and microorganisms that exist in some places ( Figure 4). Therefore, a scanning electron microscopy/energy dispersive X-ray spectroscopy (SEM/EDS) analysis was conducted on micro-specimens to determine the causes and mechanism of various contaminants (Table 1).
The deterioration of the stone block foundation due to blistering was examined by tapping testing and quantification modeling [40] based on a thermographic analysis. The blistering on the south face was 9.4% on the original blocks and 0.9% on the new blocks, whereas the blistering on the north face was 3.9% on the original blocks and 0.1% on the new blocks. It can be assumed that the reason for the relatively higher blistering damage on the south face as compared to that observed on the north face was the gun battle that occurred near the south face in 1950 during the Korean War, which may have caused blistering ( Figure 3).
Additionally, scaling was 7.1% (6.6% on the original blocks and 0.5% on the new blocks) on the south face and 7.9% (7.8% on the original blocks and 0.1% on the new blocks) on the north face. Fragmentation was only visible on the arch of the south face. Disintegration was 41.1% on the south face (37.8% on the original blocks and 3.3% on the new blocks) and 37.6% on the north face (36.5% on the original blocks and 1.1% on the new blocks). Even though the disintegration is similar for each face, it is concentrated in the original blocks.

Surface Contamination and Discoloration
Because of the complex interaction of discoloration that is caused by natural chemical weathering and contaminants in the air, it is difficult to verify the color and texture of the original rock that is used in the stone block foundation of the Sungnyemun Gate. A majority of the surface contamination and discoloration has resulted in a brownish color because of the weathering of ferruginous minerals, dark brown rust from the iron plates between the blocks, black crusts due to exhaust gases from automobiles, efflorescence caused by the materials used for repairs, and microorganisms that exist in some places ( Figure 4). Therefore, a scanning electron microscopy/energy dispersive X-ray spectroscopy (SEM/EDS) analysis was conducted on micro-specimens to determine the causes and mechanism of various contaminants (Table 1).   It is assumed that the stone block foundation of the Sungnyemun Gate has undergone chemical weathering, primarily due to the oxidation of ferruginous minerals and moisture but also because of secondary contaminants, such as air pollutants, salt crystals, clay minerals, and microorganisms, all of which are consistently adhered onto the surface and promote discoloration (Figure 4d). Such organic and inorganic contaminants not only damage the beauty of the heritage but can also cause physical damage, such as blistering, scaling, and disintegration, by increasing the surface pressure. Therefore, an urgent conservation treatment is required.

Methodology for Weathering Evaluation
The evaluation of the weathering of the rock by measuring its ultrasonic velocity has been performed for a long time. Because this evaluation is a highly reliable method of non-destructive testing, several countries use it as the geological standard. Many researchers quantitatively categorize weathering grades into three to five stages according to various types of rocks, such as natural stone [41], acidic volcanic rock [37], limestone [42], andesite [36], marble [43], and granite [44] (Table 2). Among these, the durability of the natural stone does not only depend on the alteration factors, and it also depends on the mineralogy, the rock fabric, and the pore system [45]. To determine the weathering status of a stone architectural heritage based on ultrasonic velocity, we can use the already reported standards. Granite 4220∼5100 2480∼4120 1450∼2400 --However, Iliev [35] reported that the physical and structural changes of a weathered stone could be analyzed by comparing its ultrasonic velocity with that of a fresh rock, based on which K, the weathering coefficient, can be determined as follows: where V f and V w are the P-wave velocities of a fresh and weathered rock, respectively. As the stone weathers, K increases uniformly. Further, K encompasses the overall effect of various factors, such as the density, porosity, and expansion of micro-cracks, which are highly sensitive to weathering. It is a relatively simple and highly applicable measure of weathering [46,47]. Thus, applying the already reported standards or calculating the weathering coefficient, K, is required to evaluate the weathering of a stone architectural heritage using ultrasonic measurements. Among these, the weathering coefficient K, based on the rates of ultrasonic velocity, changes between fresh and weathered rocks; it can be customized by considering the rock type of a stone architectural heritage [48]. In case of the weathering coefficient, once the ultrasonic velocity of fresh rock in the provenance of a stone architectural heritage is determined, the relative weathering after construction can be determined. Additionally, the coefficient can compare the absolute strength between rocks regardless of the rock type using the ultrasonic velocity of a universal hard rock (5000 m/s) without considering that of a fresh rock in the provenance. Therefore, this study classified the weathering coefficient K as the relative and absolute weathering grades according to the standard ultrasonic velocities of the fresh rocks. These grades were applied to the analysis of the stone block foundation of the Sungnyemun Gate.
To determine the relative weathering of the stone block foundation of the Sungnyemun Gate, the ultrasonic velocities of fresh pink feldspar granite and leucogranite were measured at the provenance site (quarry). The site is reported as the Namsan mountain in Seoul, Republic of Korea by Jo et al. [38] and Jo and Lee [49]. The ultrasonic measurements of the rocks at the provenance were conducted using same methods and procedures as those used for analyzing the stone block foundation. The average ultrasonic velocity of fresh pink feldspar granite was 3829 m/s (3659-4000 m/s), and that of fresh leucogranite was 4036 m/s (3911-4286 m/s), indicating that the overall physical properties of leucogranite were somewhat high (Table 3). These ultrasonic velocities were used as fresh standards for evaluating the relative weathering of the two types of rock that constituted the stone block foundation of the Sungnyemun Gate. The rocks that constitute the stone architectural heritage include granite, gneiss, marble, and sandstone. At the time of this study, these rocks exhibit different physical properties and strengths from those at the time of their creation. Therefore, the ultrasonic velocity of a universal hard rock needs to be determined to compare the absolute strengths observed in various types of rocks. In this study, a database was established by analyzing a Republic of Korean and foreign research that provided the ultrasonic velocity of fresh rock (Table 4). Each rock type exhibited a different ultrasonic velocity; even rocks of the same type can possess different ultrasonic velocities based on the corresponding provenance sites.
The granites in the database exhibit ultrasonic velocities that are similar to those observed at the provenance site of the stone block foundation of the Sungnyemun Gate. In this study, the absolute weathering used a 5000 m/s ultrasonic velocity [32], which was extensively used as the standard for fresh rock, among the various ultrasonic velocities observed based on the type of rock. Table 5 presents the relative weathering grade using the ultrasonic velocity of fresh rock in the provenance site of the stone block foundation of the Sungnyemun Gate and absolute weathering grade based on a 5000 m/s velocity. Although the relative weathering grade differs with the type of rock, the absolute weathering grade is standard regardless of the type of rock.

Ultrasonic Measurement Conditions
The equipment used for the ultrasonic measurement of the stone block foundation of the Sungnyemun Gate was a Pundit-plus instrument by CNS Farnell (Borehamwood, UK), which is extensively used in Republic of Korea and various other countries in rock en-gineering and for a stone architectural heritage. The ultrasonic pulse voltage was set to 1200 V. The stone block foundation of the Sungnyemun Gate has surface irregularities that impact transducer and decrease the repeatability and reliability of measurements. There, the exponential transducer (a nominal 54-kHz frequency) with a 6-mm contact area and dried rubber clay couplant, which does not leave a residue, was used for the measurements. This setup is suitable for performing ultrasonic measurements of rough surfaces, such as that of a stone architectural heritage [25,55].
Water increases the ultrasonic velocity when it fills pores and microcracks of rocks [56]. Accordingly, the on-site ultrasonic measurements were considered drying conditions of the stone block foundation that are unaffected by the rain. The path length between the transmitter and receiver was set to 200 mm using the indirect method. The areas of contaminants and rough surfaces that may reduce the ultrasonic were avoided; thus, ultrasonic velocities were acquired from 790 and 1067 points on the south and north faces, respectively. The resulting indirect ultrasonic velocity was converted to a direct ultrasonic velocity using the mean correction factor for medium-to-coarse granite, 1.50, as proposed by Lee and Jo [29].  Table 6). The overall average ultrasonic velocity was 2665 m/s. Further, for the new blocks that were used as replacement stones after the Korean War, the average ultrasonic velocities and ranges on the south and north faces were almost identical at 3892 m/s (2360-4732 m/s) and 3869 m/s (2564-4762 m/s), respectively. The overall average ultrasonic velocity was 3884 m/s. Thus, the difference between the average ultrasonic velocities of the original and new blocks was 1219 m/s ( Figure 5, Table 6).   The ultrasonic velocities were projected onto the south and north elevations to examine the overall weathering trend ( Figure 6). As a result, the constituent stone materials of the stone block foundation manifested different physical properties based on the original and new blocks. In particular, some blocks on the south and north faces exhibited an extremely low ultrasonic velocity of lower than 1000 m/s; the low ultrasonic velocity zone was concentrated on the lowest part of the south face.

Classification of the Weathering Grade
The relative weathering coefficient of the stone materials for each face were calculated based on the ultrasonic velocity of the fresh pink feldspar granite and leucogranite at the provenance site of the stone block foundation of the Sungnyemun Gate (Figure 7). The weathering of the new and original blocks in both the south and north faces is clearly different. Overall, the south face, which has more new blocks than the north face, exhibits diverse weathering characteristics, from the fresh stage to the completely weathered stage.

Classification of the Weathering Grade
The relative weathering coefficient of the stone materials for each face were calculated based on the ultrasonic velocity of the fresh pink feldspar granite and leucogranite at the provenance site of the stone block foundation of the Sungnyemun Gate (Figure 7). The weathering of the new and original blocks in both the south and north faces is clearly different. Overall, the south face, which has more new blocks than the north face, exhibits diverse weathering characteristics, from the fresh stage to the completely weathered stage.
A quantitative comparison was conducted between the relative and absolute coefficients of the stone block foundation of the Sungnyemun Gate by combining the weathering coefficients, K, of each point of the ultrasonic measurement by each block. The relative weathering grade of the original blocks based on the ultrasonic velocity of the fresh rock at the provenance site exhibits a normal distribution that is centered on the moderately weathered stage (63.6%); however, the stages are observed to be mainly from the fresh (55.2%) to the slightly weathered stage (41.4%) for the new block (Figure 8a, Table 7).

Classification of the Weathering Grade
The relative weathering coefficient of the stone materials for each face were calculated based on the ultrasonic velocity of the fresh pink feldspar granite and leucogranite at the provenance site of the stone block foundation of the Sungnyemun Gate (Figure 7). The weathering of the new and original blocks in both the south and north faces is clearly different. Overall, the south face, which has more new blocks than the north face, exhibits diverse weathering characteristics, from the fresh stage to the completely weathered stage.   A quantitative comparison was conducted between the relative and absolute coefficients of the stone block foundation of the Sungnyemun Gate by combining the weathering coefficients, K, of each point of the ultrasonic measurement by each block. The relative weathering grade of the original blocks based on the ultrasonic velocity of the fresh rock at the provenance site exhibits a normal distribution that is centered on the moderately weathered stage (63.6%); however, the stages are observed to be mainly from the fresh (55.2%) to the slightly weathered stage (41.4%) for the new block (Figure 8a, Table 7).   Furthermore, from the absolute weathering grade based on the ultrasonic velocity (5000 m/s) of a universal hard rock, majority of the original blocks were observed to be at the highly weathered stage (72.3%), while approximately 7.1% of the blocks were at the completely weathered stage. However, the new blocks were almost evenly split between the moderately (54.0%) and slightly (42.5%) weathered stages (Figure 8b, Table 7). To summarize, the original and new blocks of the stone block foundation of the Sungnyemun Gate differed by approximately two weathering stages. The absolute weathering grade tends to underestimate the overall physical properties and strength of the blocks compared with the relative weathering grade.

Discussion
To use ultrasonic technology for the non-destructive testing of a stone architectural heritage, sufficiently reliable data must be acquired and a customized evaluation of the integrity must be conducted by considering the actual conservation condition of the target heritage. Therefore, in this study, ultrasonic measurement conditions that were suitable for a stone architectural heritage were established based on previous studies ( Figure 9). To achieve this objective, a 54-kHz exponential transducer and rubber clay couplant were used. The ultrasonic velocity acquired at a 200 mm distance using the indirect transmission method was converted to a direct ultrasonic velocity using the average correction factor for medium-to-coarse granite of 1.50, as proposed by Lee and Jo [29].
The existing evaluation method, which is extensively used, can be improved by proposing weathering standards based on the material characteristics and provenance site of the constituent stone materials of the stone block foundation of the Sungnyemun Gate. In particular, the absolute weathering grade based on the ultrasonic velocity of universal hard rock and the relative weathering grade based on the ultrasonic velocity of fresh rock at the provenance site were suggested.
The standard ultrasonic velocity of the absolute weathering grade was set to 5000 m/s, which corresponded to that of fresh rock, as proposed by studies such as those by Matula et al. [41], Iliev [32], and Köhler [43]. The standard ultrasonic velocity of the relative weathering grade was measured from the provenance site of the constituent stone materials for the stone block foundation of the Sungnyemun Gate, based on which the weathering standards for fresh pink feldspar granite (3829 m/s) and leucogranite (4036 m/s) were established. The difference in weathering between the original and new blocks exhibited that the absolute weathering grade underestimated the overall physical properties and strength compared with the relative weathering grade.
To use ultrasonic technology for the non-destructive testing of a stone architectural heritage, sufficiently reliable data must be acquired and a customized evaluation of the integrity must be conducted by considering the actual conservation condition of the target heritage. Therefore, in this study, ultrasonic measurement conditions that were suitable for a stone architectural heritage were established based on previous studies (Figure 9). To achieve this objective, a 54-kHz exponential transducer and rubber clay couplant were used. The ultrasonic velocity acquired at a 200 mm distance using the indirect transmission method was converted to a direct ultrasonic velocity using the average correction factor for medium-to-coarse granite of 1.50, as proposed by Lee and Jo [29]. The existing evaluation method, which is extensively used, can be improved by proposing weathering standards based on the material characteristics and provenance site of the constituent stone materials of the stone block foundation of the Sungnyemun Gate. In particular, the absolute weathering grade based on the ultrasonic velocity of universal hard rock and the relative weathering grade based on the ultrasonic velocity of fresh rock at the provenance site were suggested. In particular, the ultrasonic velocity of fresh rock that was acquired from the provenance site was used as a standard for determining not only the weathering degree of the stone block foundation of the Sungnyemun Gate but also for the weathering trend. Because stone structures are originally built using fresh rocks, it can be assumed that the ultrasonic velocity of fresh rocks is the ultrasonic velocity of the stone block foundation of the Sungnyemun Gate when it was completed in 1398. Thus, at the time of the survey, the average ultrasonic velocities of the pink feldspar granite (2713 m/s) and leucogranite (2575 m/s) of the original blocks were observed to be a result of weathering for approximately 600 years.
The annual change in ultrasonic velocity was calculated as a linear function by dividing the difference between the ultrasonic velocities of fresh and weathered rocks by the weathering time. The result exhibited that the ultrasonic velocities of pink feldspar granite and leucogranite decreased annually by approximately 1.8 and 2.4 m/s, respectively ( Figure 10). Thus, the annual change in the ultrasonic velocity of leucogranite is higher. By considering that intentional damage was caused to the original blocks in 1950 during the Korean War, this change in velocity was not attributed only to natural weathering. If this result is compared with that for stone structures without intentional damage, a relative comparison of weathering characteristics may be possible. Appl The standard ultrasonic velocity of the absolute weathering grade was set to 5000 m/s, which corresponded to that of fresh rock, as proposed by studies such as those by Matula et al. [41], Iliev [32], and Köhler [43]. The standard ultrasonic velocity of the relative weathering grade was measured from the provenance site of the constituent stone materials for the stone block foundation of the Sungnyemun Gate, based on which the weathering standards for fresh pink feldspar granite (3829 m/s) and leucogranite (4036 m/s) were established. The difference in weathering between the original and new blocks exhibited that the absolute weathering grade underestimated the overall physical properties and strength compared with the relative weathering grade.
In particular, the ultrasonic velocity of fresh rock that was acquired from the provenance site was used as a standard for determining not only the weathering degree of the stone block foundation of the Sungnyemun Gate but also for the weathering trend. Because stone structures are originally built using fresh rocks, it can be assumed that the ultrasonic velocity of fresh rocks is the ultrasonic velocity of the stone block foundation of the Sungnyemun Gate when it was completed in 1398. Thus, at the time of the survey, the average ultrasonic velocities of the pink feldspar granite (2713 m/s) and leucogranite (2575 m/s) of the original blocks were observed to be a result of weathering for approximately 600 years.
The annual change in ultrasonic velocity was calculated as a linear function by dividing the difference between the ultrasonic velocities of fresh and weathered rocks by the weathering time. The result exhibited that the ultrasonic velocities of pink feldspar granite and leucogranite decreased annually by approximately 1.8 and 2.4 m/s, respectively (Figure 10). Thus, the annual change in the ultrasonic velocity of leucogranite is higher. By considering that intentional damage was caused to the original blocks in 1950 during the Korean War, this change in velocity was not attributed only to natural weathering. If this result is compared with that for stone structures without intentional damage, a relative comparison of weathering characteristics may be possible.

Conclusions
In this study, customized conditions for ultrasonic measurements were established for the stone block foundation of the Sungnyemun Gate, a representative stone architectural heritage structure in the Republic of Korea, to enhance the reliability of the weathering evaluation. Furthermore, the extensively used method for evaluating the weathering

Conclusions
In this study, customized conditions for ultrasonic measurements were established for the stone block foundation of the Sungnyemun Gate, a representative stone architectural heritage structure in the Republic of Korea, to enhance the reliability of the weathering evaluation. Furthermore, the extensively used method for evaluating the weathering was improved by proposing weathering standards that accounted for the material characteristics and provenance of the constituent stone materials.
The physical damage on the stone block foundation of the Sungnyemun Gate was mainly attributed to the blistering cracks (crack index 3.71), blistering (6.8%), scaling (7.5%), and disintegration (39.2%). Further, surface contamination and discoloration were primarily caused by the oxidation of the ferruginous mineral and moisture. The continuous attachment of air pollutants, salt crystals, clay minerals, and microorganisms may have increased the discoloration of the stone blocks.
The average difference between the ultrasonic velocities of the original (average 2665 m/s) and new (average 3884 m/s) blocks belonging to the stone block foundation of the Sungnyemun Gate was approximately 1219 m/s. Additionally, based on the assumption that fresh rock from the provenance site was used during the original construction, the calculation of the rate of weathering as a linear function exhibited that the ultrasonic velocity of pink feldspar granite and leucogranite of the original block decreased annually by approximately 1.8 and 2.4 m/s, respectively. This rate of weathering could be partly attributed to the intentional damage caused during the Korean War. Thus, it was estimated that the rate of weathering would be lower than these results under natural weathering conditions. In this study, the relative weathering grade based on the ultrasonic velocity of fresh rocks at the provenance site and absolute weathering grade based on the ultrasonic velocity of a universal hard rock were proposed. The evaluation of the weathering of the stone block foundation of the Sungnyemun Gate exhibited that the original and new blocks exhibited a difference in weathering of approximately two stages. The absolute weathering grade underestimated the overall physical properties and strength compared with the relative weathering grade.
This study makes a significant contribution to improve the reliability of non-destructive testing by proposing a customized model for performing ultrasonic measurements and evaluating the weathering of a stone architectural heritage. In particular, the weathering evaluation method based on the types and origin of the rock can be extensively used to diagnose and monitor similar stone architectural heritage structures.