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Predicting the long-term durability of limestones subjected to freeze–thaw cycles (case study: Guilan province, north of Iran) | ||
Geopersia | ||
دوره 11، شماره 2 - شماره پیاپی 22287825، بهمن 2021، صفحه 377-397 اصل مقاله (7.18 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/geope.2021.317876.648597 | ||
نویسندگان | ||
Maryam Dehban avan estakhri* ؛ MohammadHossein Ghobadi؛ Hassan Mohseni | ||
Department of Geology,Faculty of Science , Bu-Ali Sina University, Hamedan,Iran | ||
چکیده | ||
Mesozoic limestones with Cretaceous and Jurassic age are widely seen in the Guilan province, north of Iran. Regarding the climate of this area, the development of limestone with a high percent of CaCO3 (rather than 80%) and karst morphology development was investigated to evaluate the effect of freezingthawing (F-T) cycles concerning the karst development. In this way, the physical and mechanical properties of the four lithology units (Kl1, Kl2, Km2, and Jkl) were assessed before and after F-T cycles to study the weathering effects. The survey of the petrography of rocks shows that the samples were grainstone and packstone type, according to Donham classification. The highest deterioration occurred in sample Kl2 after 60 F-T cycles. The physical and mechanical properties of rock samples such as ɣ (unit weight), wa (water absorption), Pv (P-wave velocity), and UCS (uniaxial compressive strength) for both dry and saturated conditions, and after 60 cycles of freezing-thawing (F-T) were attained. The softening coefficient (K1) and freezing coefficient (K2) of samples were calculated using the UCS values. The F-T cycles caused significant losses in the UCS values. The measured Vp during the F-T cycles provided a suitable tool for calculating the damage value and decayed constant (λ). This study showed that the F-T test is capable of creating microcrack and fractures within the rock as the initial factors for increasing the contact surface in the dissolution process. The increase in Dn (damage variable), porosity, water absorption, and decrease of Vp after 60 F-T cycles confirm this result. Also, the increase in tangent Young’s modulus and decrease in strain show that the samples were brittle after 60 F-T periods. Therefore, it is concluded that the freezing and softening coefficient and Vp are effective tools for assessing the rock damage during F-T periods. | ||
کلیدواژهها | ||
Mesozoic limestone؛ freezing-thawing؛ decay value؛ damage variable؛ wing crack | ||
عنوان مقاله [English] | ||
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مراجع | ||
Abdelhamid, M.M.A., Li, D., Ren, G., 2020. Predicting Unconfined Compressive Strength Decrease of Carbonate Building Materials against Frost Attack Using Nondestructive Physical Tests. Sustainability, 12:1379, 1-18.## Andriani, G.F., Walsh, N., 2007. Rocky coast geomorphology and erosional processes: a case study along the Murgia coastline South of Bari, Apulia—SE Italy. Geomorphology, 87: 224-238.## Andriani, G.F., Germinario, L., 2014. Thermal decay of carbonate dimension stones: fabric, physical 394 Dehban Avan Stakhri et al. and mechanical changes. Environmental Earth Science, 72: 2523-2539.## Attewell, P.B., Farmer, I.W., 1976. Principles of engineering geology, Chapman and Hall, London.1075pp.## Anon, O.H., 1979. Classification of rocks and soils for engineering geological mapping. Part 1: rock and soil materials. Bulletin of Engineering Geology and the Environment, 19: 355-371.## ASTM., 1995. Standard test method for unconfined compressive strength of intact rock core specimens. ASTM standards on disc 04.08, Designation, D2938.## ASTM., 1996. Standard test method for laboratory determination of pulse velocities and ultrasonic elastic constants of rock. Designation, D2845-D2895.## ASTM., 2001b. Standard method for determination of the point load strength index of rock. ASTM standards on disc 04.08, Designation, D5731.## ASTM., 2004. Standard Test Method for Evaluation of Durability of Rock for Erosion Control Under Freezing and Thawing Conditions. Designation, D5312 - 04.## ASTM., 2011. Standard Test Method for Base Number Determination by Potentiometric Hydrochloric Acid Titration, ASTM international, West Conshohocken, PA, 2003, Standard D4739.## Al-Omari, A., Beck, K., Brunetaud, X., Török, Á., Al-Mukhtar, M., 2015. Critical degree of saturation: A control factor of freeze-thaw damage of porous limestones at Castle of Chambord, France. Engineering Geology, 185: 71-80.## Bayram, F., 2012. Predicting mechanical strength loss of natural stones after freeze-thaw in cold regions. Cold Regions Science and Technology, 84: 98-102.## Bednarik, M., Moshammer, B., Heinrich, M., Holzer, R., Laho, M., Rabeder, J., Uhlir, C.H., Unterwurzacher, M., 2014. Engineering geological properties of Leitha Limestone from historical quarries in Burgenland and Styria, Austria. Engineering Geology, 176: 66-78.## Beier, N.A., Sego, D.C., 2009. Cyclic freeze-thaw to enhance the stability of coal tailings. Cold Regions Science and Technology, 55: 278-285.## Bellanger, M., Homand, F., Remy, J.M., 1993. Water behaviour in limestones as a function of pores structure: application to frost resistance of some Lorraine limestones, Engineering Geology, 36: 99- 108.## Bieniawski, Z.T., 1975. The point load test in geotechnical practice, Engineering Geology, 9: 1-11.## Bortz , S.A., Wonneberger, B., 1997. Laboratory evaluation of building stone weathering. In: Labuz, J.S., (Ed.), Degradation of Natural Building Stone. Geotechnical Special Publications, 72: 85-104.## Broch, E., Franklin, J.A., 1972. The point-load strength test. International Journal Rock Mechanic and Mining Sciences & Geomechanics Abstract, 9: 669-698.## Chen, C.H., Yeung, M.R., Mori, N., 2004. Effect of water saturation on deterioration of welded tuff due to freeze-thaw action. Cold Regions Sciences Technolology, 38: 127-136.## De Kock, T., Turmel, A., Fronteau, G., Cnudde, V., 2017. Rock fabric heterogeneity and its influence on the petrophysical properties of a building limestone: Lede stone (Belgium) as an example. Engineering Geology, 216: 31-41.## Domenico, S.N., 1984. Rock lithology and porosity determination from shear and compressional wave velocity. Geophysics, 49: 1188-1195.## Eslami, J., Walbert, C.H., Beaucour, A., Bourges, A., Noumowe, A., 2018. Influence of physical and mechanical properties on the durability of limestone subjected to freeze-thaw cycles. Construction and Building Materials, 162: 420-429.## Everett, D.H., 1961. The thermodynamics of frost damage to porous solids, Transactions of the Faraday Society, 57: 1541-1551.## Fereidooni, D., Khajevand, R., 2017. Correlations Between Slake-Durability Index and Engineering Properties of Some Travertine Samples Under Wetting Drying Cycles. Journal of Geotechnical Engineering, 36: 1071-1089.## Fookes, P.G., Dearman, W.R., Franklin, J.A., 1971, Some engineering aspects of rock weathering with field examples from Dartmoor and elsewhere. Quarterly Journal of Engineering Geology and Hydrogeology, 5: 139-185.## Ghobadi, M.H., Torabi-Kaveh, M., 2014. Assessing the potential for deterioration of limestones forming Taq-e Bostan monuments under freeze-thaw weathering and karst development. Environmental Earth Sciences, 72: 5035-5047.Abdelhamid, M.M.A., Li, D., Ren, G., 2020. Predicting Unconfined Compressive Strength Decrease of Carbonate Building Materials against Frost Attack Using Nondestructive Physical Tests. Sustainability, 12:1379, 1-18.## Andriani, G.F., Walsh, N., 2007. Rocky coast geomorphology and erosional processes: a case study along the Murgia coastline South of Bari, Apulia—SE Italy. Geomorphology, 87: 224-238.## Andriani, G.F., Germinario, L., 2014. Thermal decay of carbonate dimension stones: fabric, physical 394 Dehban Avan Stakhri et al. and mechanical changes. Environmental Earth Science, 72: 2523-2539.## Attewell, P.B., Farmer, I.W., 1976. Principles of engineering geology, Chapman and Hall, London.1075pp.## Anon, O.H., 1979. Classification of rocks and soils for engineering geological mapping. Part 1: rock and soil materials. Bulletin of Engineering Geology and the Environment, 19: 355-371.## ASTM., 1995. Standard test method for unconfined compressive strength of intact rock core specimens. ASTM standards on disc 04.08, Designation, D2938.## ASTM., 1996. Standard test method for laboratory determination of pulse velocities and ultrasonic elastic constants of rock. Designation, D2845-D2895.## ASTM., 2001b. Standard method for determination of the point load strength index of rock. ASTM standards on disc 04.08, Designation, D5731.## ASTM., 2004. Standard Test Method for Evaluation of Durability of Rock for Erosion Control Under Freezing and Thawing Conditions. Designation, D5312 - 04.## ASTM., 2011. Standard Test Method for Base Number Determination by Potentiometric Hydrochloric Acid Titration, ASTM international, West Conshohocken, PA, 2003, Standard D4739.## Al-Omari, A., Beck, K., Brunetaud, X., Török, Á., Al-Mukhtar, M., 2015. Critical degree of saturation: A control factor of freeze-thaw damage of porous limestones at Castle of Chambord, France. Engineering Geology, 185: 71-80.## Bayram, F., 2012. Predicting mechanical strength loss of natural stones after freeze-thaw in cold regions. Cold Regions Science and Technology, 84: 98-102.## Bednarik, M., Moshammer, B., Heinrich, M., Holzer, R., Laho, M., Rabeder, J., Uhlir, C.H., Unterwurzacher, M., 2014. Engineering geological properties of Leitha Limestone from historical quarries in Burgenland and Styria, Austria. Engineering Geology, 176: 66-78.## Beier, N.A., Sego, D.C., 2009. Cyclic freeze-thaw to enhance the stability of coal tailings. Cold Regions Science and Technology, 55: 278-285.## Bellanger, M., Homand, F., Remy, J.M., 1993. Water behaviour in limestones as a function of pores structure: application to frost resistance of some Lorraine limestones, Engineering Geology, 36: 99- 108.## Bieniawski, Z.T., 1975. The point load test in geotechnical practice, Engineering Geology, 9: 1-11.## Bortz , S.A., Wonneberger, B., 1997. Laboratory evaluation of building stone weathering. In: Labuz, J.S., (Ed.), Degradation of Natural Building Stone. Geotechnical Special Publications, 72: 85-104.## Broch, E., Franklin, J.A., 1972. The point-load strength test. International Journal Rock Mechanic and Mining Sciences & Geomechanics Abstract, 9: 669-698.## Chen, C.H., Yeung, M.R., Mori, N., 2004. Effect of water saturation on deterioration of welded tuff due to freeze-thaw action. Cold Regions Sciences Technolology, 38: 127-136.## De Kock, T., Turmel, A., Fronteau, G., Cnudde, V., 2017. Rock fabric heterogeneity and its influence on the petrophysical properties of a building limestone: Lede stone (Belgium) as an example. Engineering Geology, 216: 31-41.## Domenico, S.N., 1984. Rock lithology and porosity determination from shear and compressional wave velocity. Geophysics, 49: 1188-1195.## Eslami, J., Walbert, C.H., Beaucour, A., Bourges, A., Noumowe, A., 2018. Influence of physical and mechanical properties on the durability of limestone subjected to freeze-thaw cycles. Construction and Building Materials, 162: 420-429.## Everett, D.H., 1961. The thermodynamics of frost damage to porous solids, Transactions of the Faraday Society, 57: 1541-1551.## Fereidooni, D., Khajevand, R., 2017. Correlations Between Slake-Durability Index and Engineering Properties of Some Travertine Samples Under Wetting Drying Cycles. Journal of Geotechnical Engineering, 36: 1071-1089.## Fookes, P.G., Dearman, W.R., Franklin, J.A., 1971, Some engineering aspects of rock weathering with field examples from Dartmoor and elsewhere. Quarterly Journal of Engineering Geology and Hydrogeology, 5: 139-185.## Ghobadi, M.H., Torabi-Kaveh, M., 2014. Assessing the potential for deterioration of limestones forming Taq-e Bostan monuments under freeze-thaw weathering and karst development. Environmental Earth Sciences, 72: 5035-5047.## González, J., Saldaña, M., Arzúa, J., 2019. Analytical Model for Predicting the UCS from P-Wave Velocity, Density, and Porosity on Saturated Limestone. Applied Sciences, 9(23): 52-65.## Han, D.H., Nur, A., Morgan, D., 1986. Effects of porosity and clay content on wave velocities in sandstones. Geophysics, 51: 2093-2107.## Hashemi, M., Bashiri Goudarzi, M., Jamshidi, A., 2018. Experimental investigation on the performance of Schmidt hammer test in durability assessment of carbonate building stones against freeze-thaw weathering. Environmental Earth Sciences, 77(684):1-15.## Hassanvand, M., Moradi, S., Fattahi, M., Zargar, G.H., 2018. Estimation of rock uniaxial compressive strength for an Iranian carbonate oil reservoir: Modeling vs. artificial neural network application. Petroleum Research, 3: 336-345.## Hori, M., Morihiro, H., 1998. Micromechanical analysis on deterioration due to freezing and thawing in porous brittle materials. International Journal of Engineering Science, 36: 511-522.## ISRM., 1981. ISRM suggested methods. In: Brown, E.T., (Ed.), Rock characterization, testing and monitoring. Pergamon Press, London, 211pp.## Jamshidi, A., Zamanian, H., Zarei Sahamieh, R., 2018. The effect of density and porosity on the correlation between uniaxial compressive strength and P-wave velocity. Rock mechanics and Rock engineering, 51(4): 1279-1286.## Jamshidi, A., Nikudel, M.R., Khamehchiyan, M., 2016. Evaluation of the durability of Gerdoee travertine after freeze-thaw cycles in fresh water and sodium sulfate solution. Engineering Geology, 202: 36-43.## Jamshidi, A., Nikudel, M.R., Khamehchiyan, M., 2015. Estimating the engineering properties of building stones after freeze-thaw using multiple regression analysis. Iranian Journal of Sciences and Technology, Transaction A: Science, 39A2: 147-163.## Jamshidi, A., Nikudel, M.R., Khamehchiyan, M., 2013. Predicting the long-term durability of building stones against freeze-thaw using a decay function model. Cold Regions Sciences and Technology, 92: 29-36.## Khanlari, G.R, Heidari, M, Sepahi-Gero, A. A, Fereidooni, D., 2014. Quantification of strength anisotropy of metamorphic rocks of the Hamedan province, Iran, as determined from cylindrical punch, point load and Brazilian tests. Engineering Geology, 169: 80-90.## Koch, A., Siegesmund, S., 2004. The combined effect of moisture and temperature on the anomalous expansion behaviour of marble. Environmental Geology, 46: 350-363.## Luque, A., Ruiz-Agudo, E., Cultrone, G., Sebastia´n, E., Siegesmund, S., 2011. Direct observation of microcrack development in marble caused by thermal weathering. Environmental Earth Sciences, 62: 1375-1386.## Multuturk, M., Altindag, R., Turk, G., 2004. A decay function model for the integrity loss of rock when subjected to recurrent cycles of freezing-thawing and heating-cooling, International Journal of Rock Mechanics and Mining Sciences, 41: 237-244.## Matsuoka, N., 1990. Mechanisms of rock breakdown by frost action: an experimental approach. Cold Regions Sciences and Technology, 17: 253-270.## Nicholson, H., Dawn, T., Nicholson, F.H., 2000. Physical deterioration of sedimentary rocks subjected to experimental freeze-thaw weathering. Earth Surface Processes and Landforms, 25: 1295-1307.## Oda, M., Suzuki, K., Maeshibu, T., 1984. Elastic compliance for rock-like materials with random cracks. Soils and Foundations, 24: 27-40.## Pápay, Z., 2018. Effect of Thermal and Freeze-thaw Stress on the Mechanical Properties of Porous Limestone. Periodica Polytechnica Civil Engineering, 62(2): 423-428.## Plevova´, E., Kozˇusˇnı´kova´, A., Vaculı´kova´, L., Simha Martynkova´, G., 2010. Thermal behavior of selected Czech marble samples. Journal of Thermal Analysis and Calorimetry, 101: 657-664.## Proskin, S., Sego, D., Alostaz, M., 2010. Freeze-thaw and consolidation tests on Suncor mature fine tailings (MFT). Cold Regions Sciences and Technology, 63: 110-120.## Powers, T.C., Helmuth, R. A., 1953. Theory of volume changes in hardened Portland cement paste during freezing. Proceedings of the annual meeting - Highway Research Boar, 32: 285- 297.## Ruedrich, J., Kirchner, D., Siegesmund, S., 2011. Physical weathering of building stones induced by freeze-thaw action: a laboratory longterm study. Environmental Earth Sciences, 63: 1573-1586.## Royer-Carfagni, G. F., 1999. On the thermal degradation of marble. International Journal of Rock 396 Dehban Avan Stakhri et al. Mechanics and Mining Sciences, 36: 119-126.## Saad, A., Guedon, S., Martineau, F., 2010. Microstructural weathering of sedimentary rocks by freezethaw cycles: experimental study of state and transfer parameters. Comptes Rendus Geoscience, 342: 197-203.## Setzer, M.J., Seter, M., Auberg, R., 1997. Basis of testing the freeze-thaw resistance Surface and internal deterioration. E & FN Spon London, pp. 157-173.## Shalabi, F. I., Cording, E. J., Al-Hattamleh, O. H., 2007. Estimation of rock engineering properties using hardness tests. Engineering Geology, 90: 138-147.## Siegesmund, S., Ullemeyer, K., Weiss, T., Tschegg, E.K., 2000. Physical weathering of marbles caused by anisotropic thermal expansion. International Journal of Earth Sciences, 89: 170-182.## Siegesmund, S., Weiss, T., Vollbrecht, A., 2002. Natural Stone, Weathering Phenomena, Conservation Strategies and Case Studies. Geological Society, London, 205pp.## Siegesmund, S., Grimm, W.D., Du¨rrast, H., Ruedrich, J., 2010. Limestones in Germany used as building stones: an overview. In: Smith, B. J., Go´mez-Heras, M., Viles, H. A., Cassar, J., (Ed.), Limestone in the built environment: present-day challenges for the preservation of the past. Geological Society, London, pp 37-59.## Siegesmund, S., Dürrast, H., 2014. Physical and mechanical properties of rocks. In: Siegesmund, S., Snethlage, R., (Ed.), Stone in architecture, 5th edn. Springer, Berlin, pp 97-225.## Stück, H., Plagge, R., Siegesmund, S., 2013. Numerical modeling of moisture transport in sandstone: the influence of pore space, fabric and clay content. Environmental Earth Sciences, 69(4): 1161- 1187.## Shushakova, V., Fuller, E. R. Jr., Siegesmund, S., 2011. Influence of shape fabric and crystal texture on marble degradation phenomena: simulations. Environmental Earth Sciences, 63: 1587-1601.## Shushakova, V., Fuller, E. R. J.r., Siegesmund, S., 2013. Microcracking in calcite and dolomite marble: microstructural influences and effects on properties. Environmental Earth Sciences, 69: 1263-1279.## Takarli, M., Prince, W., Siddique, R., 2008. Damage in granite under heating/cooling cycles and water freeze-thaw condition. International Journal Rock Mechanic and Mining Sciences, 45: 1164-1175.## Tan, X., Chen, W., Yang, J., Cao, J., 2011. Laboratory investigation on the mechanical properties degradation of granite under freeze-thaw action. Cold Regions Sciences and Technology, 68: 130- 138.## Torabi‑Kaveh, M., Heidari, M., Mohseni, H., Menendez, B., 2019. Role of petrography in durability of limestone used in construction of Persepolis complex subjected to artificial accelerated ageing tests. Environmental Earth Sciences, 78 (297): 1-18.## Walbert, C. H., Eslami, J., Beaucour, A., Bourges, A., Noumowe, A., 2015. Evolution of the mechanical behaviour of limestone subjected to freeze-thaw cycles. Environmental Earth Sciences, 74: 6339- 6351.## Weiss, T., Siegesmund. S., Fuller, E. R. J. r., 2003. Thermal degradation of marble: indications from finite-element modelling. Build Environmental, 38: 1251-1260.## Yagiz, S., 2011. Correlation between slake durability and rock properties for some carbonate Rocks. Bulletin of Engineering Geology and the Environment, 70: 377-383.## Yagiz, S., 2018. The Effect of pH of the Testing Liquid on the Degradability of Carbonate Rocks. Geotechnical and Geological Engineering, 36: 2351-2363.## Yavuz, H., Altindag, R., Sarac, S., Ugur, I., Sengun, N., 2006. Estimating the index properties of deteriorated carbonate rocks due to freeze-thaw and thermal shock weathering. International Journal of Rock Mechanics and Mining Sciences, 43: 767-775.## Yu, J., Chen, X., Li, H., Zhou, J. W., 2015. Effect of Freeze-Thaw Cycles on Mechanical Properties and Permeability of Red Sandstone under Triaxial Compression. Journal of Mountain Science, 12: 218-231.## Zhou, X. P., Cheng, H., Feng, Y. F., 2014. An experimental study of crack coalescence behavior in rocklike materials containing multiple flaws under uniaxial compression. Rock Mechanics and Rock Engineering, 47(6): 1961-1986.## Zhou, X. P., Zhang, J. Z., Wong, L. N. Y., 2018a. Experimental study on the growth, coalescence and wrapping behaviors of 3D cross embedded flaws under uniaxial compression. Rock Mechanics and Rock Engineering, 51(5): 1379-1400.## Zhang, J. Z., Zhou, X. P., Zhu, J.Y., Xian, C., Wang, Y. T., 2018. Quasi-static fracturing in doubleGeopersia 2021, 11(2): 377-397 397## flawed specimens under uniaxial loading: the role of strain rate. International Journal of Fracture, 211(1-2): 75-102.## Zeisig, A., Siegesmund, S., Weiss, T., 2002. Thermal expansion and its control on the durability of marbles. In: Siegesmund, S., Weiss, T., Vollbrecht, A., (Ed.), Natural stone, weathering phenomena, conservation strategies and case studies, vol 205, Special Publications. Geological Society, London, pp 65-80.## González, J., Saldaña, M., Arzúa, J., 2019. Analytical Model for Predicting the UCS from P-Wave Velocity, Density, and Porosity on Saturated Limestone. Applied Sciences, 9(23): 52-65.## Han, D.H., Nur, A., Morgan, D., 1986. Effects of porosity and clay content on wave velocities in sandstones. Geophysics, 51: 2093-2107.## Hashemi, M., Bashiri Goudarzi, M., Jamshidi, A., 2018. Experimental investigation on the performance of Schmidt hammer test in durability assessment of carbonate building stones against freeze-thaw weathering. Environmental Earth Sciences, 77(684):1-15.## Hassanvand, M., Moradi, S., Fattahi, M., Zargar, G.H., 2018. Estimation of rock uniaxial compressive strength for an Iranian carbonate oil reservoir: Modeling vs. artificial neural network application. Petroleum Research, 3: 336-345.## Hori, M., Morihiro, H., 1998. Micromechanical analysis on deterioration due to freezing and thawing in porous brittle materials. International Journal of Engineering Science, 36: 511-522.## ISRM., 1981. ISRM suggested methods. In: Brown, E.T., (Ed.), Rock characterization, testing and monitoring. Pergamon Press, London, 211pp.## Jamshidi, A., Zamanian, H., Zarei Sahamieh, R., 2018. The effect of density and porosity on the correlation between uniaxial compressive strength and P-wave velocity. Rock mechanics and Rock engineering, 51(4): 1279-1286.## Jamshidi, A., Nikudel, M.R., Khamehchiyan, M., 2016. Evaluation of the durability of Gerdoee travertine after freeze-thaw cycles in fresh water and sodium sulfate solution. Engineering Geology, 202: 36-43.## Jamshidi, A., Nikudel, M.R., Khamehchiyan, M., 2015. Estimating the engineering properties of building stones after freeze-thaw using multiple regression analysis. Iranian Journal of Sciences and Technology, Transaction A: Science, 39A2: 147-163.## Jamshidi, A., Nikudel, M.R., Khamehchiyan, M., 2013. Predicting the long-term durability of building stones against freeze-thaw using a decay function model. Cold Regions Sciences and Technology, 92: 29-36.## Khanlari, G.R, Heidari, M, Sepahi-Gero, A. A, Fereidooni, D., 2014. Quantification of strength anisotropy of metamorphic rocks of the Hamedan province, Iran, as determined from cylindrical punch, point load and Brazilian tests. Engineering Geology, 169: 80-90.## Koch, A., Siegesmund, S., 2004. The combined effect of moisture and temperature on the anomalous expansion behaviour of marble. Environmental Geology, 46: 350-363.## Luque, A., Ruiz-Agudo, E., Cultrone, G., Sebastia´n, E., Siegesmund, S., 2011. Direct observation of microcrack development in marble caused by thermal weathering. Environmental Earth Sciences, 62: 1375-1386.## Multuturk, M., Altindag, R., Turk, G., 2004. A decay function model for the integrity loss of rock when subjected to recurrent cycles of freezing-thawing and heating-cooling, International Journal of Rock Mechanics and Mining Sciences, 41: 237-244.## Matsuoka, N., 1990. Mechanisms of rock breakdown by frost action: an experimental approach. Cold Regions Sciences and Technology, 17: 253-270.## Nicholson, H., Dawn, T., Nicholson, F.H., 2000. Physical deterioration of sedimentary rocks subjected to experimental freeze-thaw weathering. Earth Surface Processes and Landforms, 25: 1295-1307.## Oda, M., Suzuki, K., Maeshibu, T., 1984. Elastic compliance for rock-like materials with random cracks. Soils and Foundations, 24: 27-40.## Pápay, Z., 2018. Effect of Thermal and Freeze-thaw Stress on the Mechanical Properties of Porous Limestone. Periodica Polytechnica Civil Engineering, 62(2): 423-428.## Plevova´, E., Kozˇusˇnı´kova´, A., Vaculı´kova´, L., Simha Martynkova´, G., 2010. Thermal behavior of selected Czech marble samples. Journal of Thermal Analysis and Calorimetry, 101: 657-664.## Proskin, S., Sego, D., Alostaz, M., 2010. Freeze-thaw and consolidation tests on Suncor mature fine tailings (MFT). Cold Regions Sciences and Technology, 63: 110-120.## Powers, T.C., Helmuth, R. A., 1953. Theory of volume changes in hardened Portland cement paste during freezing. Proceedings of the annual meeting - Highway Research Boar, 32: 285- 297.## Ruedrich, J., Kirchner, D., Siegesmund, S., 2011. Physical weathering of building stones induced by freeze-thaw action: a laboratory longterm study. Environmental Earth Sciences, 63: 1573-1586.## Royer-Carfagni, G. F., 1999. On the thermal degradation of marble. International Journal of Rock 396 Dehban Avan Stakhri et al. Mechanics and Mining Sciences, 36: 119-126.## Saad, A., Guedon, S., Martineau, F., 2010. Microstructural weathering of sedimentary rocks by freezethaw cycles: experimental study of state and transfer parameters. Comptes Rendus Geoscience, 342: 197-203.## Setzer, M.J., Seter, M., Auberg, R., 1997. Basis of testing the freeze-thaw resistance Surface and internal deterioration. E & FN Spon London, pp. 157-173.## Shalabi, F. I., Cording, E. J., Al-Hattamleh, O. H., 2007. Estimation of rock engineering properties using hardness tests. Engineering Geology, 90: 138-147.## Siegesmund, S., Ullemeyer, K., Weiss, T., Tschegg, E.K., 2000. Physical weathering of marbles caused by anisotropic thermal expansion. International Journal of Earth Sciences, 89: 170-182.## Siegesmund, S., Weiss, T., Vollbrecht, A., 2002. Natural Stone, Weathering Phenomena, Conservation Strategies and Case Studies. Geological Society, London, 205pp.## Siegesmund, S., Grimm, W.D., Du¨rrast, H., Ruedrich, J., 2010. Limestones in Germany used as building stones: an overview. In: Smith, B. J., Go´mez-Heras, M., Viles, H. A., Cassar, J., (Ed.), Limestone in the built environment: present-day challenges for the preservation of the past. Geological Society, London, pp 37-59.## Siegesmund, S., Dürrast, H., 2014. Physical and mechanical properties of rocks. In: Siegesmund, S., Snethlage, R., (Ed.), Stone in architecture, 5th edn. Springer, Berlin, pp 97-225.## Stück, H., Plagge, R., Siegesmund, S., 2013. Numerical modeling of moisture transport in sandstone: the influence of pore space, fabric and clay content. Environmental Earth Sciences, 69(4): 1161- 1187.## Shushakova, V., Fuller, E. R. Jr., Siegesmund, S., 2011. Influence of shape fabric and crystal texture on marble degradation phenomena: simulations. Environmental Earth Sciences, 63: 1587-1601.## Shushakova, V., Fuller, E. R. J.r., Siegesmund, S., 2013. Microcracking in calcite and dolomite marble: microstructural influences and effects on properties. Environmental Earth Sciences, 69: 1263-1279.## Takarli, M., Prince, W., Siddique, R., 2008. Damage in granite under heating/cooling cycles and water freeze-thaw condition. International Journal Rock Mechanic and Mining Sciences, 45: 1164-1175.## Tan, X., Chen, W., Yang, J., Cao, J., 2011. Laboratory investigation on the mechanical properties degradation of granite under freeze-thaw action. Cold Regions Sciences and Technology, 68: 130- 138.## Torabi‑Kaveh, M., Heidari, M., Mohseni, H., Menendez, B., 2019. Role of petrography in durability of limestone used in construction of Persepolis complex subjected to artificial accelerated ageing tests. 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