Experimental Study on Physicomechanical Properties of Sandstone under Acidic Environment

-e influence of acid solution and immersion time on the physicomechanical properties of sandstone is investigated. Uniaxial compression tests on sandstone samples are conducted to determine the variations of relative mass, deformation, and strength characteristics of sandstone subjected to different pH sulfuric acid corrosion values. -e changes of pH and Mg and Ca concentration of immersion solutions are monitored during soaking.-e corrosion mechanism of sandstone attacked by the acid solution is discussed with the results of SEM tests. Based on the nondestructive CT scanning test, the damage variables of acidcorroded sandstone are deduced, and the damage degree of sandstone is quantitatively analyzed. -e results indicate that the deformation characteristics of sandstone samples under acid attack are characterized by the softening of rock, and the softening degree gradually increases with the increase of the acidity and the soaking time.-e peak strength of sandstone samples declines as soaking time extends. -e chemical effects lead to a large amount of dissolution of the rock mineral assemblage, resulting in the large-scale development of the pores inside the rock, which changes the macroscopic mechanical properties.-e damage variables of acid corrosion sandstone based on CTnumbers are deduced, and the quantitative relationship between damage variables and immersion time is established, which provides a basis for constructing a damage constitutive model of sandstone in the acidic environment.


Introduction
With the deterioration of environmental pollution, acid deposition has a serious impact on human activities.Acid rain, one of the main products of acid deposition, has various influences on the physical, chemical, and mechanical properties of rock materials.
e deterioration of rock properties caused by acid rock interaction is a slow chemical process, which leads to the change of the mineral composition, microstructure, and mechanical properties of rock, resulting in poor engineering effects.
In recent years, many achievements have been made in the research on the influence of acidic environment on the physical and mechanical properties of rocks.Chen et al. [1] had carried out microscopic mechanical tests on the uniaxial compression fracture process of rocks under chemical corrosion, discussed the corrosion effect of different chemical solutions on uniaxial compression strength of rocks, and analyzed the microfracture characteristics and corrosion mechanism of rock under chemical etching.By simulating the indoor corrosion test under acidic environment, Huo et al. [2,3] studied the degradation of physicomechanical properties and established the constitutive model of acid-corroded sandstone and sandstone-like materials.Xu et al. [4] and Li et al. [5] had carried out shear strength tests of sandstones subjected to different water chemical solution erosion.e mechanism of chemical damage of sandstone was discussed, and the relationship between porosity and shear strength was established.e influence of hydrochemical corrosion on the sandstone destruction, crack opening, and expansion direction was obtained.Chen et al. [6], Ding et al. [7], Han et al. [8], and Gao et al. [9] had performed the physical and mechanical tests on the chemical corrosion and freeze-thaw cycles of granite, limestone, sandstone, and red sandstone, respectively.Physical and mechanical damage laws of rock under the combined action of the freeze-thaw cycle and water chemical solution were analyzed.Wang et al. [10,11] and Han et al. [12] had studied the e ect of chemical solution soaking on mechanical properties of sandstone by uniaxial and triaxial compression tests.ey found that the mechanical properties of sandstone decrease obviously after chemical corrosion, and it is closely related to the change of porosity.e conclusion was drawn that the elastic modulus and compressive strength decrease with the increase of immersion time and acidity.
rough a series of core tests, He and Guo [13] studied the failure of rock strength a ected by di erent acid solutions from macroscopic and microscopic perspectives.Zhang [14] had investigated the macro-and mesodamage characteristics of argillaceous sandstone under dry-wet cycles in acidic condition.e in uence of dry-wet cycles and the acid solution on the mechanical parameters of argillaceous sandstone was analyzed.Ding et al. [15] had studied the mechanical damage characteristics and chemical dissolution behaviour of limestone under di erent chemical solutions.A time-dependent corrosion equation of uniaxial compressive strength of limestone was developed under various chemical solutions.Chemical dynamic erosion equations of limestone were developed.Xie et al. [16] had carried out conventional triaxial and rheological tests on natural limestone and chemically etched porous limestone, respectively.ey analyzed the e ects of chemical corrosion on the pore-changing and aged mechanical properties of limestone.Currently, the study of microscopic damage to rock by CT nondestructive testing technology is gradually emerging [17,18].Yang et al. [19] applied the CT detection technique for the study of rock damage characteristics, established a mathematical model of CT number distribution in damaged rock, and deduced a formula for expressing the rock damage variables by CT numbers.Liu et al. [20,21] used the digital image processing technique to analyze the CT images of rocks under di erent temperatures, achieved the pseudocolour enhancement and histogram analysis of the frozen rock CT images, and completed the digital representation of the frozen rock ice content, frozen water content, and damage information.rough the full-section CT scanning test of three sandstone with di erent initial microstructure, Fu et al. [22] investigated the evolution mechanism of the microscopic damage of the rock samples under the action of the wet-dry cycles and obtained the damage evolution equation of sandstone.
Reviewing the literature, the current research results mainly focus on the in uence of chemical solution on macroscopic mechanical properties of rocks, lacking researches on the in uence of accelerated corrosion on rock physicomechanical properties for a long time, and the rock damage analysis based on CT digital image processing is still rare.Against this background, in this paper, the common sandstone in water conservancy and civil engineering is taken as the research object.Based on the uniaxial compression test, the macroscopic mechanical properties of sandstone under acidic environment are systematically studied.e mechanism of acid rock interaction is discussed by SEM tests and the change of Mg 2+ and Ca 2+ concentration of immersion solutions.e damage variables of acid corrosion sandstone based on CT numbers are deduced, and the quantitative relationship between damage variables and immersion time is established, which provides a basis for constructing the damage constitutive model of sandstone in the acidic environment.

Materials.
e sandstone specimens used in the tests were sampled from the water conservancy project in Shanxi Province, China, where the sandstone samples have high homogeneity and integrity.e X-ray di raction test identi ed that the name of the sandstone is green-grey negrained calcareous feldspar sandstone.Table 1 summarizes the main features.Figure 1 shows the microstructure of the sandstone sample.
e sample was processed into a cylinder with a diameter of 50 mm and a height of 100 mm, and the basic dimensions and machining accuracy were in line with Standard for Tests Method of Engineering Rock Masses [23].Before the test, the samples were sonic tested.e specimens with a large di erence in wave velocity were excluded, and the sandstone samples were grouped according to the longitudinal wave velocity.A total of 28 sandstone specimens were selected and divided into three groups.Grouping and soaking of the sandstone samples are shown in Table 2. e sandstone specimens were immersed and etched at room temperature and atmospheric pressure.e experiment was divided into six phases, every 30 days for one phase.To observe the significant changes of the corroded sandstone samples in a relatively short period, the immersion solution was renewed every 30 days during the test (no change of the type and pH of the replacement solution).Before soaking in the solutions, the samples were photographed, and the initial mass of the samples was weighed (Figure 2).en, the samples were placed in the configured two kinds of solution.A reagent bottle with a volume of 3 L was used to avoid evaporation.e pH and ion concentration of Mg 2+ and Ca 2+ of the solution and the mass of the samples were measured periodically.Uniaxial compression strength following GB/T50266-2013 [23] of the specimens after being subjected to acid attack was tested at 30, 90, and 180 days.SEM and CT scanning tests were conducted on the sandstone samples at the same time.

Test Apparatus.
e pH test equipment and ion concentration test equipment used in the experiment are Leica PHS-3C and Metrohm 792 Basic IC, respectively.e weighing instrument is electronic balance JA12002 with a dividing value of 0.01 g. e oven is WGL-30B with a temperature range of room temperature plus 5∼300 °C.e uniaxial compression tests were conducted in a LETRY electrohydraulic rock pressure testing machine (Figure 2).e maximum axial load was 1500 kN.Japan JSM-7500F electron microscope equipment (Figure 3) was used to obtain SEM images of the samples.Philips Brilliance 16 spiral CT machine (Figure 4) was used to obtain the CT images of the samples.

Change Law of pH Values of the Soaking Solution.
e variation curves of the pH values of the soaking solution in different stages are shown in Figures 5(a) and 5(b).It is observed in the figures that the pH values of the soaking solution show an increasing trend first and then tend to be stable with the lengthening of soaking time.e acidity of the soaking solution becomes balanced gradually in the process of rock being acidified.e pH value of the soaking solution increased rapidly in the initial soaking period (0∼15 d), which increased to 2.85 and 4.22 at the first stage for sulfuric acid solutions with pH � 1 and 3, respectively, indicating that the chemical reaction between the samples and acid solution is fierce during the first 15 days of immersion.With the increase of immersion time and lengthening of the infiltration path, the pH value of the solution increased gradually and then tended to be stable, indicating that sulfuric acid had visible time effect on the chemical corrosion of sandstone.For the different acid soaking   Advances in Civil Engineering solution, the change law of pH in each stage is the same.It can be seen from the growth of the pH value that the smaller the pH value of the initial solution (the stronger the acidity), the more severe the chemical reaction of acid rock, the greater the change in the pH value.

Change Law of Masses of Sandstone Samples.
During soaking, the samples were taken out from the solution every 10 days, and the surface water of the samples was wiped o with a cotton cloth, and then the samples were left in the air for 5 minutes to ensure that the liquid is volatilized and dried.ey were weighed in an electronic scale and the values were recorded; after that, they were kept in an oven for drying (24 h, 105 °C), and then they were taken out and weighed.
e mass of some of the samples is shown in Table 3.
To analyze the variation of sample mass quantitatively, mass change rate of the acid-corroded sandstone sample is de ned as follows: where M and W are the mass change rates of the dry samples and wet samples, respectively; M 0 , M t , and M ts are the weight of the samples in natural, weight of the dry samples after soaking for t days, and weight of the wet samples after soaking for t days, respectively.e variation curves of the relative mass change rate of the sandstone samples before and after drying are shown in   e sandstone mineral components are hydrolyzed and dissolved, and the mass of the samples decreases.However, the relative mass change rate of the dry samples shows an increasing trend with the extension of soaking time (Figure 6(b)), and the smaller the pH, the greater the mass change rate of the dry samples.is means that the concentration of H + in the soaking solution is the main factor that determines the chemical reaction rate.
e higher the concentration of H + , the more the mineral components of the sample dissolved and the greater the mass loss.
In the rst three soaking stages (0∼90 d), the mass change rate of the dry samples increases signi cantly during the rst 15 days of each stage (30 d) and then gradually slows down (Figure 6(b)).e mass change rate of the wet samples decreases signi cantly during the rst 15 days of each stage and then slows down gradually (Figure 6(a)).In the last three soaking stages (90∼180 d), the mass change rate of samples tends to be stable gradually.Experimental observation showed that a large number of bubbles generated in sulfuric acid solution with pH 1 after 15 days of each soaking stage, and then occule is gradually generated around the samples.However, only some bubbles formed in pH 3 sulfuric acid solution, and no occule is produced (Figure 7).e above analysis shows that the acid rock reaction is severe at each early stage (the rst 15 days) and then tends to be stable over time.

Analysis of Mechanical Properties of Sandstone in the
Acidic Environment

In uence of Acidic Environment on Deformation
Characteristics of Sandstone.e sandstone samples were taken out after 30, 90, and 180 days of immersion in the acid solution for the uniaxial compression test.e tests are performed under a displacement-controlled mode with the loading rate set at 0.002 mm/s.e test results and stressstrain curves are shown in Table 4 and Figure 8, respectively.As can be seen from Figure 8, the stress-strain curve of sandstone can be divided into the following four stages: compaction stage, elastic stage, plastic stage, and failure stage.
(1) Compaction Stage.As can be seen from Figure 8 that the concave length of the natural specimen is short and the degree of deformation is small, it enters the elastic phase quickly.However, the compression stage of the sample attacked by acid solution increases obviously.Under the same immersion time, the compaction stage of the acid-corroded sandstone samples increased obviously, and the degree of depression gradually increased with the decrease of the pH values of the soaking solution.Under the same soaking solution, the compaction stage of the sample increased obviously, and the compaction point strain increased signi cantly with the soaking time prolonging.It shows that with the increase of acidity of the soaking solution and the prolongation of immersion time, the pore development in sandstone becomes more signi cant due to the dissolution of mineral particles, Advances in Civil Engineering and the compaction stage of the stress-strain curve is more obvious.
(2) Elastic Stage.With the increase of axial pressure, the rock samples enter the elastic stage from the compaction stage.At this stage, the slope of the straight line segment is the elastic modulus E, and the smaller the E value, the more obvious the softening phenomenon of the rock sample subjected to acid corrosion.As can be seen from Table 4, the elastic modulus of the acid corrosion sandstone samples decreases to varying degrees compared with the natural state samples.e elastic modulus of the sandstone sample changes obviously under the action of di erent pH solutions, and the smaller the pH value of the solution, the larger the elastic modulus change.After soaking for 180 days, the elastic modulus of the sandstone samples subjected to acid solutions decreased signi cantly.e average value of the elastic modulus of the samples under the action of the sulfuric acid solution with pH 3 reduced from 17.83 to 3.36 GPa, decreased by 74.17%.
e average value of the elastic modulus of the samples subjected to the sulfuric acid solution with pH 1 lowered from 17.83 to 4.61 GPa, decreased by 81.17%.e above analysis shows that the enhancement of acidity and the extension of soaking time will make the chemical reaction of acid and rock more thoroughly, and the softening e ect of acid corrosion is more apparent.
(3) Plastic Stage.As can be seen from Figure 8, the plastic deformation stage of the sample is not obvious.e peak point strain of the plastic deformation stage re ects the deformation amount when the sandstone is damaged, and the greater the deformation, the greater the degree of softening of the sandstone by acid corrosion.e axial strain value of the peak point of the sandstone samples corroded by acid solution can be seen from Table 4. Figures 9(a Axial strain at peak point, ε c (10 −3 )  Advances in Civil Engineering and Table 4, the axial strain of the peak point of the samples increases gradually with the increase of the acidity of the chemical solution at the same soaking time.As can be seen from Figure 9(b) and Table 4, the axial strain of the peak point of the rock sample corroded by acid also tends to increase with the immersion time.After 180 days of soaking, the peak point strain of the sample in the sulfuric acid solution with pH 1 and 3 was multiplied by 5.216 and 3.268 times, respectively, than that of the sample in the natural state.
As can be seen from Figure 9 and Table 4, with the increase of acidity and immersion time, the uniaxial compressive strength of the acid-corroded sandstone specimen decreases, and the axial strain of the peak point increases.is indicates that the deformation characteristics of the sandstone samples under acid attack are characterized by the softening of rock, and the softening degree gradually increases with the increase of the acidity and the soaking time.
(4) Destruction Phase.Because of the strong brittleness of the sandstone samples, the destruction of the sandstone samples was often accompanied by a crisp sound, and the stress dropped rapidly after the failure of the samples, so the postpeak stage has not been obtained.

In uence of Acidic Environment on Strength Characteristics of Sandstone.
As can be seen from Table 4, the peak strength of the samples in the natural state is the largest, which is 88.25 MPa, and the peak strength of the samples decreases after the acid attack.After soaking for 30, 90, and 180 days, the peak strength of the sandstone samples subjected to sulfuric acid solution with pH 1 decreased by 34.12%, 46.67%, and 61.16%, respectively, and the peak strength of the sandstone samples subjected to sulfuric acid solution with pH 3 decreased by 30.55%, 34.65%, and 38.37%, respectively.
e analysis shows that the peak Advances in Civil Engineering strength of the sandstone samples decreases with the increase of immersion time and solution acidity, and the degradation e ect of peak strength is more obvious in a strong acid solution.

Chemical Reaction Mechanism of Acid and Sandstone
Samples. e change of macroscopic mechanical properties of the sandstone samples subjected to the acid solution is the result of the change of internal microstructure.At the initial stage of soaking, the chemical reaction between acid and rocks is mainly the ion exchange between H + and mineral components, which lead to the replacement of the cations of mineral crystals and the dissolution and deterioration of mineral components.With the depletion of H + , the chemical reaction between the acid and rock gradually transforms into mineral hydrolysis, and the reaction rate slows down.e solubility of clay mineral in the acidic solution will also be greatly increased.Feldspar solubility in the acidic solution will greatly increase, and the solubility increases with the decrease of pH. e corrosion degree of calcite, dolomite, and other carbonate minerals increased signi cantly at normal pressure and temperature.e dissolution reaction equation is as follows: (2) It can be seen from the above reaction mechanism that the chemical reaction between sulfuric acid and sandstone samples produces cations such as Ca 2+ and Mg 2+ .To analyze the dissolution rate of Mg 2+ and Ca 2+ in the soaking solution quantitatively, which is de ned as the ratio of the variation of cation concentration and corrosion time after every ten days of immersion, the following formula is used: where C 0 is the initial concentration of cation (mg/L), C t is the concentration of cation after soaking t days (mg/L), V is the volume of the soaking solution (L), and Δt is the time di erence before and after corrosion reaction (d).
As observed in Figure 10, the dissolution rates of Mg 2+ and Ca 2+ in two soaking sssolutions showed large change at the initial soaking stage (0∼15 days) and then gradually decreased with the increase of soaking time.Under the same conditions, the smaller the pH value of the soaking solution, the higher the rate of cation dissolution.For example, the maximum dissolution rate of Ca 2+ in the sulfuric acid solution with pH 1 is 8.07 mg/d, which is 1.36 times that of the sulfuric acid solution with pH 3. e dissolution rates of Mg 2+ and Ca 2+ in two di erent solutions at each soaking stage (30 days) were the same.e dissolution rate of cation in the initial immersion stage was higher and then decreased gradually.Moreover, in the same soaking solution and immersion stage, the dissolution rate of Ca 2+ is larger than Mg 2+ , which is the result of reaction of calcite and other calcium llings with the acid solution.

Microstructure Changes of Sandstone Samples before and after Acid Attack.
e acid-corroded sandstone samples were magni ed 2000 times by scanning electron microscopy (SEM).e SEM images of the samples attacked by sulfuric acid solution (pH 3 and 1) and the SEM images of natural sandstone samples are shown in Figures 11 and 12   8

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As can be seen from Figures 11(a) and 12(a), in the natural state, the mineral crystals of sandstone are mostly irregular ake-like or lump-like, and the mineral particles are disorderly distributed without apparent directionality.
e mineral particles are in point-like or linear contact with each other, and the pores and ssures of the sample are developed.e SEM images of the sandstone samples soaked in the pH 3 sulfuric acid solution for 30 days (Figure 11(b)) show that the surface of the mineral crystal becomes rough due to the dissolution.e interlayer cementing materials of the sandstone samples are dissolved, and the lamellar crystals are decomposed after the acid attack.When soaked for 90 days (Figure 11(c)), the surface of the mineral crystals becomes rougher, the original large-size crystal particles in the form of akes and blocks no longer exist, and the dissolution holes appear on the surface of the crystals, which make the rock pores increase.Compared with the pH 3 sulfuric acid solution, the SEM images of the sandstone samples attacked by the pH 1 sulfuric acid solution (Figures 12(b) and 12(c)) show that the microstructure change is more visible.Especially after soaking for 90 days (Figure 12(c)), the dissolution degree of mineral particles is severe, the cementation degree between particles is worse, the initial microcracks are fully developed, and the penetration of

Pores and fissures
Lump-like crystals Flake-like crystals  Advances in Civil Engineering many small holes increases the connectivity of the porosity of the specimen, thus forming a loose granular skeleton structure.e above analysis shows that after the sandstone samples are corroded by sulfuric acid, the mineral aggregates and cement of the samples are dissolved and destroyed, the particle size of mineral particles decreases, and the secondary pores and fissures of the samples develop obviously.is results in changes in the mechanical properties of the sandstone samples.

Quantitative Calculation of Acid-Corroded Sandstone Damage
Figure 13 shows the CT scanning images of the middle layer of the sandstone samples in different stages immersed in two Advances in Civil Engineering di erent pH solutions.It can be seen from Figure 13 that the damage of the sandstone samples is obviously di erent when immersed in the sulfuric acid solution at di erent pH values for di erent periods of time, and the smaller the pH value of the solution, the more serious the acid corrosion of the sandstone samples.e middle layer CT scanning images of the sandstone specimen in di erent soaking stages (0, 30, 90, and 180 days) of the pH 1 sulfuric acid solution are selected.e CT value frequency distribution curves of the samples are obtained by MATLAB based on the CT histogram technique, which is shown in Figure 14.As can be seen from Figure 14, the peak shape of the frequency curve of the CT value of the natural sandstone specimen showed a unimodal distribution, which begins to appear a bimodal distribution after 30 days of being acid-etched.With the extension of the etching time, the second peak increases gradually, and the peak di erence gradually decreases.
Indicating that the damage of sandstone is not only the original damage caused by material defect after acid corrosion but also hollow damage caused by dissolution of mineral particles.With the extension of corrosion time, these damages become more and more dominant.e damage variable, as a measure of the damage degree of the rock, indicates the decrease of the e ective bearing area of the rock sample due to the defects such as microcracks in the process of corrosion damage.
e initial damage characteristics of sandstone are the unimodal distribution [19] of CT numbers (Figure 14(a)).After being acid-etched, the distribution of the CT number is bimodal distribution (Figures 14(b)-14(d)).
e damage variable formula based on the bimodal distribution of CT numbers has been deduced [19].en, the following assumptions [24] are deduced to derive the formula of rock material damage variables based on the bimodal distribution of CT numbers:  Advances in Civil Engineering (1) e damage in the rock appears as holes, and the holes are distributed randomly in the rock.(2) e area of one single hole in that CT resolution unit is approximately equal, and v 0 is used as the area of the hole.(3) e number of voids is independent of each other in mutually intersecting areas.(4) e probability that there are h holes in the bodycentred T domain is only related to t, not related to T, and not constant to 1. ( 5) ere are only a limited number of holes in the finite area T, that is,  ∞ k�0 p h (t) � 1. (6) e probability of appearing for one hole in the area t is the higher order infinitesimal about T, that is, lim t → 0 (1 − P 0 (t) − P 1 (t))/t � 0.
For the rock material whose CT frequency curve is unimodal distribution, supposing the area of CT resolution unit is t, the probability that the number n of holes in the area t is k can be proved by the assumptions (2)-( 5): where λ is the mathematical expectation of the number of holes per unit area.
If the density of nondestructive rock material is ρ 0 and the number of holes in the resolution unit is n, the average density distribution in the resolution unit can be written as follows: For different resolution units, the distribution in ( 6) is given by (5), and the expectation and variance of formula (6) are obtained as follows: where the E(ρ) and D(ρ) represent mathematical expectation and variance, respectively, and the above two formulas can be used to solve the problem of void area v 0 and void density λ as follows: For v 0 and λ within the unit area only, the damage variable on the corresponding scan section is as follows: where S is the cross-sectional area of rock scanning, S 1 is the effective area of the scanning section, S 2 is the defect area of the scanning section damage, A is that number of resolution units in the scan section, and t is the area of the resolution unit.
If the resolution of the CT device is w, then t � w 2 and A � S/w 2 , and D can be obtained as follows: ere are two types of damage in rock materials with the bimodal distribution of CT numbers: damage caused by material defects (characteristic distribution parameters are λ 1 and v 01 ) and void damage caused by dissolution of mineral particles (characteristic distribution parameters are λ 2 and v 02 ).
e damage variable based on the bimodal distribution of CT numbers can be written as follows: e relationship between CT number and rock density is known from [19] as follows: where H is the CT number of the damaged sandstone, H r is the CT number of the sandstone matrix material, and ρ r is the density of the sandstone matrix material.Equations ( 11) and ( 12) can solve the damage variables of the scanned cross section of acid-eroded sandstone based on the CT number.e calculated damage variables at different corrosion stages of the middle scanning layer of the sandstone samples attacked by the sulfuric acid solution with pH � 3 and 1 are shown in Table 5.It can be seen from Table 5 that the chemical damage of the sandstone samples in different soaking stages is different.With the increase of acidity and corrosion time, the damage variable of the sandstone samples shows an increasing trend, and the stronger the acidity, the bigger the increase of the damage variable.

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Fitting the damage variables can obtain the relationship between the damage variable of acid-corroded sandstone and the soaking time (Figure 15): pH 3 H 2 SO 4 : D(t) 0.032t 0.48 R 2 0.942 , pH 1 H 2 SO 4 : D(t) 0.036t 0.52 R 2 0.968 .(13) erefore, the damage variables of acid-corroded sandstone can be expressed as where α and β are the chemical in uence coe cients, which are related to the type of acid and the pH value.

Conclusions
Based on the results of this study, the following conclusions can be drawn: (1) Under the acidic environment, the pH value of the immersion solution and the mass change of the sandstone samples have phased characteristics.e pH value of the solution increased rapidly at the initial stage of each immersion phase (15 days) and tended to be stable gradually with the prolongation of soaking time.e mass change rate of the wet sandstone samples increased rapidly in the rst 15 days of soaking and then gradually decreased and stabilized.e mass change rate of the dry sandstone samples shows a tendency of increase during the entire corrosion stage, and its growth rate gradually decreased and stabilized.(2) With the prolongation of immersion time and the increase of solution acidity, the compaction phase of the sandstone samples became longer, the elastic phase became shorter, the axial strain of the peak point increases, and the softening degree of the sandstone samples enhances gradually.Compared with the natural state, the acidic environment has an apparent e ect on the mechanical deterioration of sandstone.e peak intensity of sandstone after attacking 180 days by the sulfuric acid solution with pH 1 and 3 decreased by 61.16% and 38.37%, respectively.
(3) e action of the acid solution can not only dissolve interlayer cement of sandstone but also dissolve and decompose the large-size mineral aggregates, which leads to the large-scale development of the pores in the rock and changes its macroscopic mechanical properties.(4) Based on the bimodal distribution of CT value histogram, the damage variables of sandstone in the acidic environment are deduced.e quantitative relationship between damage variable and corrosion time is established, which provides a basis for constructing the damage constitutive model of sandstone subjected to acid corrosion.Advances in Civil Engineering

Figure 5 :
Figure 5: Variation curves of the pH values of sulfuric acid solution with time: (a) pH 1 and (b) pH 3.
Figures 6(a) and 6(b).As observed in the gures, the relative mass change rate of the samples soaked in di erent pH solutions shows di erent changing rules with prolonging the soaking time.e relative mass change rate of the wet samples soaked in the sulfuric acid solution with pH 1 and 3 increases rapidly at the initial soaking time (0∼15 d) and then decreases gradually with the increase of soaking time (Figure6(a)).is shows that the di usion of the solution is dominant during the initial reaction of acid rock reaction, and the mass of the sample increases due to water absorption.With the samples gradually saturated, the chemical corrosion plays a dominant role.e sandstone mineral components are hydrolyzed and dissolved, and the mass of the samples decreases.However, the relative mass change rate of the dry samples shows an increasing trend with the extension of soaking time (Figure6(b)), and the smaller the pH, the greater the mass change rate of the dry samples.is means that the concentration of H + in the soaking solution is the main factor that determines the chemical reaction rate.e higher the concentration of H + , the more the mineral components of the sample dissolved and the greater the mass loss.In the rst three soaking stages (0∼90 d), the mass change rate of the dry samples increases signi cantly during the rst 15 days of each stage (30 d) and then gradually slows down (Figure6(b)).e mass change rate of the wet samples decreases signi cantly during the rst 15 days of each stage and then slows down gradually (Figure6(a)).In the last three soaking stages (90∼180 d), the mass change rate of samples tends to be stable gradually.Experimental observation showed that a large number of bubbles generated in sulfuric acid solution with pH 1 after 15 days of each soaking stage, and then occule is gradually generated around the samples.However, only some bubbles formed in pH 3 sulfuric acid solution, and no occule is produced (Figure7).e above

Figure 6 :
Figure 6: Mass change rate curves of the sandstone samples in di erent pH solutions: (a) wet samples and (b) dry samples.

Figure 7 :
Figure 7: Experimental phenomenon of the samples in di erent pH solutions after soaking for 15 days.

Figure 8 :
Figure 8: Uniaxial compressive stress-strain curves for the sandstone samples attacked by acid solutions for di erent soaking days: (a) 30 days, (b) 90 days, and (c) 180 days. .

Figure 9 :
Figure 9: Relationships between axial peak strains of samples and (a) pH of solutions and (b) immersion time.

Figure 10 :
Figure 10: Cation dissolution rate diagram of soaking solution.Dissolution rate of Mg 2+ in H 2 SO 4 solution at (a) pH 1 and (b) pH 3. Dissolution rate of Ca 2+ in H 2 SO 4 solution at (c) pH 1 and (d) pH 3.

Figure 11 :
Figure 11: SEM images of the sandstone samples attacked by pH � 3 H 2 SO 4 solution.(a) Natural sandstone sample.Sandstone samples soaked in sulfuric acid solution at pH � 3 for (b) 30 days and (c) 90 days.

Figure 12 :
Figure 12: SEM images of the sandstone samples attacked by pH � 1 H 2 SO 4 solution.(a) Natural sandstone sample.Soaking in pH � 1 sulfuric acid solution for (b) 30 days and (c) 90 days.

Figure 15 :
Figure 15: Relationship between the damage variables of the sandstone samples and immersion time under di erent pH sulfuric acid solutions.

Table 1 :
Debris components and contents.
2.2.Test Methods.In this paper, pH � 1 and 3 sulfuric acid solutions (H 2 SO 4 ) were used to simulate the acidic environment.

Table 2 :
Debris components and contents.

Table 3 :
Mass change of the sandstone samples soaked in acid solution.

Table 4 :
Uniaxial compressive test results of the sandstone samples subjected to acid corrosion.

Table 5 :
Damage variables of the intermediate scanning layer of the sandstone samples at different time intervals in different solutions.