Effects of Na2SO4 concentration and surface shape on the weathering of granite during wet–dry cycling

The presence of salts during cyclic wet and dry conditions can cause weathering of rock and is the main cause of damage to ancient and modern buildings. Accordingly, salt weathering, especially of granite, has aroused great interest. Determining the relationship between wet–dry cycling and the physical properties of rock is of great significance to geotechnical engineering. In this paper, granite samples were processed into two shapes (round and semicircular) and subject to 0, 10, 20, 30, 40 and 50 wet–dry cycles, with the wetting achieved with 0%, 5%, 10% or 20% concentrations of Na2SO4 solution. The mass loss, roughness and indentation hardness of granite samples all changed to some extent with cycle number, with greater changes occurring at higher salt concentrations. Rock shape also affects the extent of weathering damage, as surface area and features such as corners facilitate the ingress of salt solution.


Introduction
Rock weathering has long been a research focus in fields, such as engineering geology and materials science. Weathering processes include physical, chemical and biological weathering. In practical engineering scenarios, rock weathering, deformation and failure usually involve water-rock interaction (Hua et al. 2017). Hadizadeh and Law (1991) pointed out that the periodic water-rock interactions caused by rainfall and evaporation and by changes in the water level of surface runoff are the main cause of change in the physical and mechanical properties of rocks, and accelerate rock weathering. Therefore, many experiments on the effects of alternating dry-wet cycles on the physicomechanical properties of rocks have been conducted. Their results show that wet-dry cycling causes varying degrees of deterioration in physical and mechanical properties, such as specific gravity, apparent porosity, bulk density, elastic modulus, hardness, uniaxial compressive strength and uniaxial tensile strength (Hall and Hall 1996;Diop et al. 2008;Sumner and Loubser 2008;Lin et al. 2005;Razouki and Salem 2014;Yao et al. 2011;Zhang et al. 2014;Sun and Zhang 2018;. The water-absorbing minerals that make up rock expand in the presence of water, increasing intergranular pressure. These expanding minerals cause stress absorption and release, which leads to rock fatigue (Dove and Elston 1992). Noor-E-Khuda and Albermani (2019) explained that water is a good solvent in rock weathering as it provides a medium in which reactions can occur; such reactions occur more rapidly in a liquid phase than in a solid phase.
Research has found that salt weathering occurs when rocks are exposed to salt solutions. During a wet-dry cycle, salt solution enters the interior of the rock through pores on the surface and fills the internal pores. A temperature rise may lead to crystallization of salt due to evaporation of water (Benavente et al. 2007). Crystals are constantly growing in rock pores and their growth is limited by the pore walls. So, if the stress on the pore walls is high enough, the rock will be damaged. Kronlund et al. (2016) pointed out that salt crystals generated in rock pores are the most damaging type of crystals to rock. Salt crystals produce different pressures depending on the size and geometry of the rock 1 3 783 Page 2 of 14 pores. Many scholars (Friedman 1965;Zhang et al. 2021;Coussy 2006) have calculated crystal growth pressures in single rock pores and fissures and quantitatively analyzed the effect of the rock's pore-size distribution on crystal growth under dry-wet cycling. Flatt et al. (2014) reported a phase transition from Na 2 SO 4 in the dry state to Na 2 SO 4 ·10H 2 O in the wet state. Na 2 SO 4 was dissolved during rock immersion, resulting in high supra-saturation of Glauber's salt and high crystallization pressure during the crystal growth process, which eventually led to the destruction of the material during the immersion process. Angeli et al. (2010) discussed the influences of ambient temperature and salt solution concentration on rock damage under dry-wet cycling. The results show that rock damage increases with salt solution concentration.
Granite is a traditional building material that is superior to other rock materials in terms of durability and strength. Therefore, many researchers have carried out studies on granite at various scales. Lee et al. (1998) studied the role of particle microstructure in physical and chemical weathering processes. Noor-e- Khuda et al. (2017) studied the influence of accelerated weathering under freeze-thaw cycling on the bending strength of granite. Xu et al. (2010) studied changes in the mechanical properties and microscopic pore characteristics of granite under high-temperature heat treatment. López-Arce et al. (2010) studied the effect of salt crystallization on the surface roughness of granite under dry-wet cycling with Na 2 SO 4 solution. However, there are few studies on the accelerated weathering of granite samples with different shapes that are exposed to salt solutions of different concentrations. Accordingly, this study used experiments to investigate the influence of sample shape (round and semicircular) on granite weathering under dry-wet cycling conditions and analyzed the degree of damage caused by salt crystals precipitating from Na 2 SO 4 solutions of various concentrations (0%, 5%, 10% and 20%). Figure 1 shows the main experimental procedures used in this study: samples were (a) soaked in Na 2 SO 4 solution (concentration = 0%, 5%, 10% or 20%), (b) dried in an electric air-blast drying oven, (c) weighed, and (d) tested for roughness after each wet-dry cycle.

Materials
A large and fresh granite specimen from Linyi City, Shandong Province, is selected for this test, with good lithofacies uniformity and no obvious defects or cracks. The X-ray diffraction analysis showed that the primary minerals are alkaline feldspar and plagioclase (58.4%), quartz (32.0%), amphibole (6.1%), and mica (3.4%). Most mineral grains in granites are larger than 5 mm, which is defined as coarsegrained granites. The test samples were granite with two geometrical shapes. As shown in Fig. 2, one shape was a 50 mm × 25 mm disk with a shear fracture crack 18 mm long and 1.6 mm wide, and the other was a semicircular disk with a shear fracture crack 12 mm long and 1.6 mm wide.

Wet-dry cycle testing
In this experiment, Na 2 SO 4 solutions with four concentrations (0%, 5%, 10% or 20%) were prepared (Fig. 1a). Granite samples were immersed in Na 2 SO 4 solution for 2 h at room temperature. After soaking, the samples were put into an electric blast-drying oven (Fig. 1b) and dried at 105 ℃ for 1 h. This cycle was repeated 50 times. After each cycle, samples were weighed and tested for roughness, while pressed-in hardness was measured after 50 cycles.

Mass measurement
Before starting the wet-dry cycle testing, granite samples were measured using an electronic balance with an accuracy of 0.0001 g (Fig. 1c) to obtain the initial mass m. After the start of testing, the mass m c of the granite sample was measured after 5, 10, 15, 20, 30, 40 and 50 cycles, and the mass-loss rate was calculated using Eq. (1).
where Δm is the mass loss; m is the initial mass of the granite sample (g), and m c is the mass after a wet-dry cycle (g).

Roughness measurement
The surface roughness of granite samples was measured by a surface roughness meter (0918; Fig. 1d) with an accuracy of 0.001 mm. First, one side of each sample was polished and the initial roughness measured. As shown in Fig. 3, each measurement was carried out around the shear crack on the same plane to ensure that measurements were made in the same area. The surface roughness of granite samples was measured after 10, 20, 30, 40 and 50 wet-dry cycles using the four concentrations of salt solution.

Indentation hardness measurement
Indentation hardness was measured using a rock hardness tester (HYY-B; Fig. 5). Point load testing under a certain stress was carried out using a press. The experimental process is shown in Fig. 4. Load-displacement deformation curves of granite samples were obtained after 10, 20, 30, 40 and 50 cycles for each of the four Na 2 SO 4 solutions (concentrations = 0%, 5%, 10% or 20%). According to the load-displacement curves, the indentation hardness and plasticity coefficient values of granite samples were calculated at each cycle number and solution concentration. Figure 5 shows the configuration of the point-load ends, which provided a basis for calculating the press-in hardness. Figure 6 shows the typical load-displacement curves of the three types of rocks. Equations (2) and (3) were used to obtain the indentation hardness and plasticity coefficient of each sample, respectively.
(2) P y = P S where P y is the indentation hardness (N/mm 2 ), P is the peak load (N) and S is the base area of the flat-bottom cylindrical indenter (mm 2 ). The diameter of the indenter d was 1.6 mm.
where K P is the plasticity coefficient, A OABC is the total work expended before the rock broke (equivalent to the OABC area in Fig. 6b) and A ODE is the work of elastic deformation (equivalent to the ODE area in Fig. 6b).

Macro-and micro-scale changes
Denudation of the granite samples by Na 2 SO 4 solution was observed and analyzed using macroscopic and microscopic images. Figures 7 and 8 show the macroscopic changes to granite samples after wet-dry cycling in the four Na 2 SO 4 solutions of different concentrations. Figure 7 shows circular granite samples with signs of spalling at the edges after 50 cycles in 10% and 20% Na 2 SO 4 solutions. Compared with the other three concentrations, the edge of the sample at 20% concentration showed uneven peeling. In Fig. 8, the semicircular granite sample shows slight peeling at the edges and corners after 50 cycles with 5% (3) and 10% solutions. At the 20% concentration, there were obvious signs of spalling at 40 cycles that increased with further cycling. Because the semicircular granite sample was eroded by Na 2 SO 4 solution, there were three eroded contact surfaces at the edges and corners. Therefore, peeling started from the edges and corners and then gradually spread to the center, thereby expanding the peeling area. As a result, the overall shape of the sample became smaller and irregular, even losing the semicircular shape. When the granite sample was eroded by Na 2 SO 4 solution, the rate of mineral exfoliation inside the rock was higher than that on the surface.   Figure 9 shows the microscopic changes to the granite samples. At both 5% and 10% concentrations, the edges of mineral particles were first eroded and then gradually peeled off with increasing cycles, and only a small range of mineral particles directly peeled off. At the 20% concentration, whole dark mineral particles were directly peeled off. Under constant erosion by the Na 2 SO 4 solution, the peeling area of the mineral particles gradually expanded and deepened. Table 1 shows the mass-loss rates of the granite samples. Figure 10 shows the relationship between the mass-loss rate of granite samples and number of wet-dry cycles based on the data in Table 1. While the 0% curve does not change significantly, those of the other three Na 2 SO 4 solutions generally decrease first and then increase. At the beginning of a cycle, the mass-loss rate is negative, which indicates that the mass of the granite sample increases. After a certain amount of cycling damage, the mass of the sample decreases, mass-loss rate results in a positive increase. This phenomenon was more significant with the 20% Na 2 SO 4 solution.

Changes in mass
At 50 wet-dry cycles, the mass-loss rate of semicircular samples was nearly double that of circular samples. In 20% Na 2 SO 4 solution, the mass-loss rate of the circular sample was 0.9907% while that of the semicircular sample was 1.7045%. The reason is that the semicircular granite samples had a greater surface area in contact with the solution than the circular samples.

Changes in surface roughness
The surface roughness of granite samples is expressed by the arithmetic mean deviation (Ra). As shown in Fig. 11, in the case of the 0% Na 2 SO 4 solution, the roughness did not change significantly with cycle number. In the 5%, 10% and 20% Na 2 SO 4 solutions, with increasing cycles, roughness shows an increasing trend overall. This process of increase can be divided into two stages: (1) a slow stage (0-40 cycles) where roughness increases slowly with cycle number. Because the Na 2 SO 4 solution left crystals on the surface of the granite or filled areas where crystals fell off, the data for each cycle fluctuated up and down slightly, with a slight increase overall. With 5%, 10% and 20% Na 2 SO 4 solutions, the initial roughness of the circular granite samples were 0.031, 0.035 and 0.041 mm, respectively. After 40 cycles, the roughness of circular samples were 0.045,  (2) The second stage is a rapid growth stage (40-50 cycles). Here, roughness increases rapidly with cycle number, most obviously with the 20% Na 2 SO 4 solution. After 50 cycles with 5%, 10% and 20% Na 2 SO 4 solutions, the roughness of circular granite samples were 0.052, 0.064 and 0.072 mm and those of semicircular granite samples were 0.054, 0.074 and 0.171 mm, respectively. Compared with that at 40 cycles, the roughness of circular samples were 0.007, 0.020 and 0.022 mm greater, while those of semicircular samples were 0.010, 0.029 and 0.103 mm greater. The above results show that the concentration of Na 2 SO 4 solution has a significant effect on the surface roughness of granite. The higher the concentration of salt solution, the greater the change in surface roughness. Figure 12 shows the load-displacement deformation curves derived from the point-load indentation hardness tests, which shows the deformation characteristics of the granite samples during the indentation process. The peak load of the initial sample was the highest, with the peak values of the curves decreasing obviously with increases in the number of cycles. At a given number of cycles, the peak values decrease with increases in concentration. At 10 cycles, the peak load decreased from 4604.31 to 3382.65 as the Na 2 SO 4 solution concentration increased from 0 to 20%. At 20 cycles, the peak load decreases from 4848.33 to 3658.95. At 30 cycles, the peak load decreases from 4623.56 to 3002.87. At 40 cycles, the peak load decreases from 4813.93 to 3098.40. At 50 cycles, the peak load decreases from 5122.38 to 3032.51. At a given number of cycles, the curve peak is lowest and the vertical displacement is the largest with the 20% Na 2 SO 4 solution. With 0% and 5% concentrations, the deformation curves show obvious brittleness characteristics, and the relationship between load and vertical displacement is almost linear. At concentrations of 10% and 20%, the samples exhibit plastic and brittle characteristics and the curve shows a convex shape in a certain range before reaching the peak load. Figure 13 shows the variation in indentation hardness P y in the point-load test obtained by Eq. (2). With increasing cycle number, the fluctuation of the granite with the sample 0% solution shows almost no change, while those of samples with 5%, 10% and 20% solutions all show downward trends. The average hardness of the granite samples stays almost the same (2322.62-2333.18) between 10 and 50 cycles with the 0% Na 2 SO 4 solution. With the 5% solution, the average hardness decreases from 2116.62 to 1839.66. At 10%, the average hardness decreases from 2041.67 to 1582.04. At 20%, the average hardness decreases from 1850.99 to 1507.38. At a given number of cycles, the greater the Na 2 SO 4 concentration, the lower the indentation hardness. Figure 14 is a graph from which the plasticity coefficient can be derived according to the initial load-displacement curves of the granite samples and Eq. (3). The plasticity coefficients were obtained by calculation, as shown in Fig. 11 Relationships between wet-dry cycle number and the surface roughness of circular and semicircular granite specimens with various concentrations of Na 2 SO 4 solution  Fig. 15. It shows that at a given Na 2 SO 4 concentration, the plasticity coefficient gradually increases with cycle number. The plasticity coefficient shows a linear increase with the 10% and 20% Na 2 SO 4 solutions (Fig. 16). The plasticity coefficient increases from 1.41 to 1.53 over cycles 10-50 with the 5% Na 2 SO 4 solution. The plasticity coefficient increases from 1.46 to 1.53 with the 10% solution and from 1.59 to 2.27 with the 20% solution. It can be seen from Fig. 17 that at a given cycle number, the higher the concentration, the lower the indentation hardness and the larger the plasticity coefficient of a granite sample. After 50 cycles, the indentation hardness and plasticity coefficient of the sample in 20% Na 2 SO 4 solution were significantly different from the initial values.

Discussion
Initially, increases in cycle number lead to increases in sample quality, which is caused by insufficient drying (Noor-e-Khuda et al. 2017). Granite is composed of a variety of minerals that have tiny cracks between their crystals (Hiraga et al. 1999). When a granite sample is soaked, Na 2 SO 4 solution enters its pores and micro-cracks. As the temperature rises during drying, the water gradually evaporates and salt crystallization occurs. Crystals eventually form to fill the pores and cracks, making the sample more compact and with greater mass (Steiger and Asmussen 2008 the Na 2 SO 4 solution, some mineral crystals on the surface of the sample begin to fall off. The rate of mineral shedding is greater than the rate of salt crystallization inside the rock, so the mass of the sample begins to decrease. In later cycles, the mass loss changes linearly because the crystallization rate of Na 2 SO 4 and the chemical reaction between the Na 2 SO 4 solution and minerals in the granite stabilizes. In this process, the internal pore size of the granite is constant and the salt solution constantly crystallizes in the pores, while crystal growth is restricted by the pore walls. Failure of the rock occurs when the crystal pressure exceeds the bearing limit of the pore walls, as shown in Fig. 18. As shown in Fig. 19, Alonso et al. (2008) studied the roughness changes of granite after 15 cycles in 14% Na 2 S salt solution, and the roughness of the sample increased by 50% after 15 cycles. López-Arce et al. (2010) studied the roughness changes of different minerals in granite after 15 cycles in 14% Na 2 SO 4 solution, and the roughness of biotite increased by 115%. The roughness of feldspar minerals increased by 61%. Quartz roughness increased by 58%, and biotite was found to have the largest roughness variation, followed by feldspar minerals. Alonso et al. (2008) found that the contact between biotite and feldspar and its particles is very fragile; areas of such contact are most likely to be damaged by erosion.
A large amount of biotite and feldspar shedding was also the main factor causing changes in roughness. As shown in Fig. 20, with increases in solution concentration, more and more minerals are shed, most of them being biotite. Through the comparison between previous studies and our test this time, it is found that in salt solution, with the increase of the number of cycles, the rock will be damaged and the roughness will increase significantly. The experiment also found that the semicircular granite samples were degraded more than the circular ones. This indicates that the smoothness of the rock and the surface area in contact with the solution can indirectly affect the degree of weathering. Under the action of water-rock interaction and Na 2 SO 4 crystal stress, rock micro-cracks are prone to occur at the edges and corners of the sample, and salt solution penetrates into the interior of the rock along the direction of the cracks, causing spherical weathering of the rock (Windom et al. 1981;Sarracino et al. 1987;Hirata et al. 2017). Crystallization pressure acts on the pore walls in different directions, causing mineral shedding to be most serious at the edges and corners.The edges and corners of a semicircular sample have three faces, so the edges and corners are weathered in three directions during weathering. The edges of the rounded sample are weathered in only two directions. Therefore, the edges and corners of the The plasticity coefficient of the initial granite sample is 1.478 The indentation hardness of the initial granite sample is 2507.75 Indentation hardness Plastic coefficient 10Cycles 40Cycles 20Cycles 50Cycles 30Cycles Solution concentration Indentation hardness P y N/mm 2 Plastic coefficient K P semicircular sample are weathered the most and the fastest, and the edges and corners gradually shrink and tend to be spherical.

Conclusion
1. The mass loss and surface roughness of granite increase with increases in wet-dry cycling. The mass loss initially decreases and then increases and accelerates with increasing numbers of cycles. The roughness changes obviously after 40 cycles. The indentation hardness of granite decreases with wet-dry cycling and becomes obviously lower after 50 cycles. The plasticity coefficient of granite increases with wet-dry cycling, with linear increases observed with 10% and 20% Na 2 SO 4 solutions. 2. Changes in the mass, roughness, and macroscopic and microscopic morphology of two shapes of granite sam-ples under wet-dry cycling were analyzed. Damage was more serious to semicircular samples than circular ones, indicating that the presence of edges and corroded surfaces increases the weathering effect. After 50 cycles in 20% Na 2 SO 4 solution, the mass loss of the circular granite sample was 0.9907% and that of the semicircular sample was nearly double, at 1.7045%. The roughness of the circular sample increased by 0.031 mm, while that of the semicircular sample increased by 0.132 mm. 3. The effects of Na 2 SO 4 solutions of different concentrations on weathering damage to granite were compared. Weathering damage increased with Na 2 SO 4 concentration for both shapes of samples. The higher the concentration, the more obvious the changes in mass, roughness, indentation hardness and plasticity coefficient. With increases in salt concentration, the granite properties change from brittleness to plastic brittleness.