pressure condition is 25 MPa, and the capacity of the syringe is 500 ml. The pumps can also control the flow rate in the range of 0.001 - 204 ml/min. The pressure vessel is made of carbon fiber reinforced plastic (CFRP) tube and the flanges made of aluminum are fixed by four shafts at both ends. As Figure 2 shows, rock sample is installed inside of the vessel. In this case, rock sample is surrounded by working fluid. Therefore, the inlet pressure of the fluid and the confining pressure are simultaneously acting on the specimen in this permeation system.
As Equation (1) shows, it is necessary to measure flow velocity u and pressure gradient dp/dx in order to evaluate intrinsic permeability k. When the value of k is expected smaller than 10−16 m2, dp/dx is fixed and u is measured. On the other
Figure 2. Experimental apparatus for one dimensional permeation tests. This system consists of pressure vessels made by CFRP (Carbon Fiber Reinforced Plastic) and two syringe pumps.
hand, when the value of k is expected larger than 10−16 m2, u is fixed and dp/dx is measured. As for the details of the apparatus and the procedure, please refer Sato and Ikeda  .
3.2.2. Rock Samples for Permeation Tests
Schematic model of rock samples for one-dimensional permeation tests is shown in Figure 3. The geometry is same as the samples by Sato and Ikeda  . The length and diameter are approximately 50 mm and 50 mm respectively. The side of the sample is completely sealed by epoxy resin. The porous stone and drain pipe are installed on one end of the sample. The surface is also sealed by epoxy resin. Another end is free and the fluid is injected from this free surface into rock sample. Therefore the one dimensional fluid flow can be simulated. This type of sample is installed in the pressure vessel as Figure 2.
As representatives of porous rocks samples, following 4 types of rocks were chosen; Berea sandstone, Kimachi sandstone, Isahaya sandstone and Concrete. Berea sandstone is produced at Ohaio, U.S.A., and Isahaya and Kimachi sandstone are produced in Japan. Approximate porosities of samples are 24%, 19%, 12% and 12% respectively. These porosities were evaluated by the weight differences between completely dry and water saturated conditions.
3.3. Effect of Aquo-Siloxane Method towards Permeability of Rocks
Intrinsic permeability of same rock types without Aquo-Siloxane treatment has already been evaluated by Sato and Ikeda  . Here, the effects of Aquo-Silox- ane method towards the permeability of rocks are discussed. The temporal changes of permeability or rock samples with Auo-Siloxane treatment are measured during 200 days to 600 days, and the results are shown in Figure 4. Here, the value of k at 0 day represents the results without Aquo-Siloxane treatment. As these figure shows, the value of intrinsic permeability is decreasing gradually in all rock samples during 200 to 600 days. It means that the Aquo-Siloxane develops the effect towards permeability gradually, and it continues more than one year. After several hundred days, the value of k become reaches less than 1/10 to
Figure 3. Rock sample for one-dimensional permeation tests.
(a) (b)(c) (d)
Figure 4. Temporal change of permeability of rocks after Aquo-Siloxane treatment. (a) Berea sandstone; (b) Kimachi sandstone; (c) Isahaya sandstone; (d) Concrete.
1/100 of without Aquo-Siloxane treatment. It represents that Aquo-Siloxane method does not shut out the movement of water but it reduces or mitigates the water permeation. Therefore, it is expected that the Aquo-Siloxane treatment prevent from sudden moisture changes in the stone heritages and that it keeps heritages in relatively stable moisture conditions.
4. X-Ray CT Scanner Systems
X-ray CT is the technique to visualize the density distribution inside of the object, and it has been applied not only to the medical field, but also to various engineering fields. Geoengineering including rock mechanics is also the field where X-ray CT is efficiently applied   . In this study, X-ray CT scanner is applied for observation of rock samples, especially for visualization and analysis of diffusion phenomena. Then the effect of the Aquo-Siloxane method is verified.
Research group, X-Earth Center of Kumamoto University in which authors belongs to, is operating two types of X-ray CT systems, such as industrial X-ray CT scanner and μ-focus X-ray CT scanner. Industrial X-ray CT scanner has relatively higher X-ray tube energy, and it is suitable to visualize relatively large samples or relatively high density materials. On the other hands, μ-focus X-ray CT scanner is the suitable to observe very small region. As its name suggests, several μm order of observation is possible. As for the details including specs and tomography conditions, please refer paper  and  . In this study, macroscopic or nominal diffusion phenomena in cm order are visualized by industrial X-ray CT scanner.
5. One-Dimensional Diffusion Tests
In this study, one-dimensional diffusion tests are also conducted towards rock samples with and without Aquo-Siloxane treatment. Then the phenomenon which happens in rocks or in the pores of rock sample is visualized by X-ray CT scanners, and its effect is verified.
Diffusion is the phenomena that solute moves according to the concentration gradient. Generally it is expressed by Fick’s law.
here, c is concentration of solution, D is diffusion coefficient, t is time and x is the nominal direction of diffusion. In this study, one-dimensional diffusion tests are conducted and this process is visualized by X-ray CT method. Then, diffusion coefficient D of rock samples with and without Aquo-Siloxane treatment is evaluated.
Diffusion is the movement of solute, and nominal movement is expressed as concentration of solution as Equation (2) shows. In the X-ray CT method, density distribution of solute can be visualized. However, the concentration of solute is proportional to the density, and the change of concentration can be also visualized by X-ray CT method.
5.2. Rock Samples for One-Dimensional Diffusion Tests
Geometry of rock samples for diffusion observations is shown in Figure 5. Fundamental geometry of the samples is almost same as the ones for permeation tests, however, it has only one free surface and the other faces are completely sealed by epoxy resin. Therefore, solute can diffuses into rock sample only from the free surface. As rock samples, same types of rock samples used by one-di- mensional permeation tests, such as Berea sandstone, Isahaya sandstone, Kimachi sandstone and Concrete, are also used in the diffusion test. In all cases, the size of the rock sample is 50 mm in diameter and 50 mm in length. X-ray CT im-
Figure 5. Rock sample for macroscopic diffusion tests.
ages of rock samples before diffusion tests are shown in Figure 6. These images are taken along cylindrical axis. Generally in X-ray CT images, brighter region represents the higher density region and darker region represents lower density region. As these figures show, the internal structures of rock samples are clearly visualized. In the case of Berea sandstone, sedimentary layers are clearly confirmed. It is confirmed that the Kimachi sandstone consists relatively larger grains compare with Isahaya sandstone. Usually harder rocks are used as aggregates in Concrete. Therefore, aggregates are expected to have higher density than mortal part. The existences are also clearly visualized.
5.3. Procedures of One-Dimensional Diffusion Tests
Sato and Ikeda  conducted one-dimensional diffusion tests and introduced a series of procedure to evaluate diffusion coefficient from X-ray CT image data. The same procedures are also taken in this study.
Schematic of macroscopic diffusion observation is shown in Figure 7. Initially, rock samples are fully saturated by water in both condition of with and without Aquo-Siloxane treatment. These rock samples are put in the tracer, then the tracer diffuses into samples from free surface. For the comparison, diffusion tests are conducted using same rock type sample with and without Aquo-Siloxane treatment simultaneously as Figure 7 shows.
As stated before, X-ray CT method is the one to visualize density distribution. Therefore, in order to visualize diffusion phenomena by X-ray CT scanner, it is necessary to give enough density change during diffusion process which X-ray CT scanner system can detect. In this study, KI (potassium iodide) solution is applied as a tracer. Here, 30% of KI solution is used for diffusion tests. The value corresponds to the density of 1254 kg/m3. KI solution also has the characteristics that it is hardly adsorbed to rocks. Therefore, it is well known as one of the representative tracers, and it is suitable for the detection of water flow and diffusion phenomena    .
5.4. X-ray CT Images during Diffusion Tests
The examples of CT images during diffusion test are shown in Figures 8-11. In
(a) (b)(c) (d)
Figure 6. X-ray CT images of rock samples. (a) Berea sandstone; (b) Kimachi sandstone; (c) Isahaya sandstone; (d) Concrete.
Figure 7. Schematic of macroscopic 1D diffusion tests.
(a) (b) (c)
Figure 8. X-ray CT images during diffusion tests, Berea sandstone. (a) 10 minute; (b) 3 hours; (c) 7 hours.
(a) (b) (c)
Figure 9. X-ray CT images during diffusion tests, Kimachi sandstone. (a) 10 minute; (b) 3 hours; (c) 30 hours.
(a) (b) (c)
Figure 10. X-ray CT images during diffusion tests, Isahaya sandstone. (a) 10 minute; (b) 3 hours; (c) 7 hours.
(a) (b) (c)
Figure 11. X-ray CT images during diffusion tests, Concrete. (a) 10 minute; (b) 3 hours; (c) 30 hours.
the case of Berea sandstone and Isahaya sandstone, diffusion occurs relatively fast and the diffusion tests were conducted for 7 hours. On the other hands, in the case of Kimach sandstone and Concrete, diffusion is very slow and tests were
conducted for 30 hours. In each image, left hand side is the free surface and the solute diffuses intro rock sample from this surface. In the figures, inside of the dotted line is the region where density is increased due to diffusion. In the case of Berea sandstone and Kimachi sandstone, it is relatively easy to confirm the diffused region. However, generally rock samples have strong heterogeneity and the density change itself due to the diffusion is small, and it is difficult to identify the diffused region in many cases.
In this study, image subtraction method is applied in order to extract the necessary information due to diffusion  . As is stated before, X-ray CT images were taken before and after commencement of diffusion tests. This is the technique to conduct subtraction between an image at initial condition and images after commencement of diffusion tests, and it is known as efficient technique to extract necessary information, that is change of density.
5.5. Evaluation of Diffusion Coefficient
Sato and Ikeda  introduced the method to evaluate diffusion coefficient D from the CT image data taken during diffusion tents. Firstly, one dimensional concentration distribution in the X-axis is detected from X-ray CT images. On the other hand, theoretical concentration distribution can be calculated from Equation (2). Here, diffusion coefficient D is evaluated by comparing experimental results and numerical solutions of concentration profiles as Sato and Ikeda  shows.
As representative examples, X-ray CT images after image subtraction and the concentration profiles of Berea sandstones are shown in Figure 12 and Figure 13. The mean concentration value along the nominal diffusion direction (X-axis direction in Figure 5) is evaluated from the subtracted CT images. These are concentration profiles 7 hours after commencement of diffusion tests. In these figures, concentration in rock sample C is normalized by the concentration of solute C0. As these figures show, amount of solute which diffuses into rock sample is smaller in the case of rock sample with Aquo-Siloxane treatment. In the case of the sample without Aquo-Siloxane treatment, solute diffuses into approximately 20 mm from inlet free surface. However, in the case of sample with the treatment, diffusion area is limited up to approximate 10 mm. The mean value of concentration increment of the sample with the treatment is also smaller than the one without treatment. The same tendency is also confirmed in the other rock samples, and it is confirmed that the diffusion of solute is obviously suppressed by Aquo-Siloxane treatment.
As stated before, diffusion coefficients of 4 types of rock samples with and without Aquo-Siloxane treatment are evaluated. Here, we would like to discuss the relation between intrinsic permeability and diffusion coefficient before and after applying Aquo-Siloxane treatment. The results are shown in Figure 14. This figure shows the relation between diffusion coefficients and intrinsic permeability. The values of intrinsic permeability are obtained at one-dimensional permeation tests stated before. It is found that values of both intrinsic permea-
Figure 12. Concentration profile evaluated from X-ray CT image data without Aquo- Ailoxane treatment. (a) X-ray CT image after image subtraction. The brighter region represents the region where density is increased due to diffusion; (b) Distribution of normalized mean increment of concentration.
Figure 13. Concentration profile evaluated from X-ray CT image data with Aquo- Ailoxane treatment. (a) X-ray CT image after image subtraction. The brighter region represents the region where density is increased due to diffusion; (b) Distribution of normalized mean increment of concentration.
Figure 14. Relation between intrinsic permeability and diffusion coefficient of rock samples with and without Aquo-Siloxane treatment.
bility and diffusion coefficients are decreased by applying Aquo-Siloxane treatment. In the case of intrinsic permeability, even though the difference of the value of Kimachi sandostone is smaller than the other samples, the value decreases to approximately 1/10 to 1/100 of the one without the treatment. In the case of diffusion coefficient, the change is not so larger, however, all values are decreased by applying the treatment. Therefore, it is revealed that water permeation and material movement due to diffusion is efficiently suppressed by applying Aquo-Siloxane method.
Micro scale observations of solute in porous rock samples have been conducted by Sato et al.  . Here, diffusion phenomena in rock samples with and without Aquo-Siloxane treatment were visualized by μ-focus X-ray CT system. It was shown that solute migrates relatively large pores and that the solute hardly diffuses into pores by applying Aquo-Siloxane treatment. They also estimated that amount of diffused solute after applying Aquo-Siloxane treatment became almost 1/2 to 1/3 of without Aquo-Siloxane treatment. The results coincide with the change of diffusion coefficients before and after applying Aquo-Siloxane treatment.
In this way, Aquo-Siloxane method does not shut out the movement of solute but it reduces or mitigates the diffusion same as the effect to water permeation. In other words, Aquo-Siloxane can keep stone heritages in relatively stable condition.
6. Application Example to the Preservation of Tone heritage
Even though the Aquo-Siloxane is a new method, there are several application examples in order to preserve or protect stone heritages. Here, a case which the Aquo-Siloxane treatment was applied is introduced. The sample is 10 stories stone tower as shown in Figure 15. It is a part of ruined temple which located at Manno town in Kagawa Prefecture, Japan. The heritage is now also registered as
Figure 15. Stone tower made by tuff breccia before applying Aquo-Siloxane method.
one of a national heritages of Japan. The height is approximately 2.5 m, and most of parts are made by tuff breccia. It is estimated that this tower was built approximately 700 years ago. As Figure 15 shows, the tower has been located outside since it was built. Therefore, it is strongly damaged by weathering and some parts have been already chipped and fallen down. Towards the stone tower, several preservation treatments including Aquo-Siloxane methods were applied in 2012. The lost and chipped parts are restored and fixed by same kind tuff breccia as shown in Figure 16. Then, the Aquo-Siloxane was painted on the all surfaces of the stone tower. The condition of the tower one year and four years after the treatments are shown in Figure 17. As these figure show, the stone tower is kept in good condition during four years, and no more chipping and cracks have been observed. It depends on the weather condition the stone tower after Aquo- Siloxane treatment looks keeping moisture or watery. It is a characteristic point
Figure 16. Restored and fixed part of the stone tower.
Figure 17. Stone tower after preservation treatments including Aquo-Siloxane treatment. (a) After one year; (b) After four years.
of Aquo-Siloxane treatment when it is applied to stone materials. This is because that Aquo-Siloxane treatment reduces or mitigates the water permeation stated before in this study. In order to hand historical heritages down to posterity, it is necessary to keep them in good condition for long time. Authors will also continue to observe the heritages and to verify the effect of Aquo-Siloxane treatment in future.
Kyushu Research Institute for Cultural Properties Inc. and Kumamoto University have been introduced a new method, Aquo-Siloxane Method, in order to protect the stone heritages. In this study, preservation effect by Aquo-Siloxane method towards water permeation and material diffusion were verified. Here one-dimensional permeation and diffusion tests are conducted, and the intrinsic permeability and diffusion coefficient of rock samples with and without Aquo- Siloxane treatments are evaluated. As rock samples, 3 types of sandstones, such as Berea sandstone, Kimachi sandstone and Isahaya sandstone, and concrete were applied.
One-dimensional permeation tests are conducted towards rock sample with and without Aquo-Siloxane treatment, and intrinsic permeability of samples are evaluated. It is found that the permeability decreases to less than 1/10 to 1/100 of without Aquo-Siloxane treatment, and that Aquo-Siloxane can effectively mitigate the effect of water flow in pores in rocks. The permeation tests conducted during 200 to 600 days, and at several time intervals, intrinsic permeability is measured. As a result, it is also found that the effect gradually develops during more than one year and that the value of intrinsic permeability gradually keeps decreasing.
One-dimensional diffusion tests are also conducted and diffusion coefficient of rock samples with and without Aquo-Siloxane treatment are evaluated. Here, the diffusion processes in rock samples are visualized by X-ray CT scanner system. Then, by comparing CT image data and numerical solutions, diffusion coefficients of rock samples are evaluated. As a result, diffusion coefficients also become smaller by applying Aquo-Siloxane treatments. It means that the Aquo- Siloxane can also mitigate the effect solute movement in pores of rocks. It is revealed that not only the water permeation but also material movement due to diffusion are efficiently suppressed by applying Aquo-Siloxane method.
As stated above, Aquo-Siloxane method does not shut out the movement of solute but it reduces or mitigates the diffusion same as the effect to water permeation. In other words, Aquo-Siloxane can keep stone heritages in relatively stable condition.
Finally, Aquo-Siloxane method was applied to a stone heritage. It was found that the heritage has been kept in good condition for at least four years.