## 7 Conclusions  
Correlation analysis of physical parameters of freeze-thaw weathering induced rocks collected from Ny-Alesund region of Norway was conducted in this study. From the analysis, prediction of future physical properties' changes resulting from freeze-thaw weathering and estimation of remaining time of rock weathering grade change is possible. The followings are key findings from this study:  
1. Among the physical parameters considered in this study, water absorption and P-wave velocity are effective parameters for estimation of rock weathering due to freeze-thaw actions. The rock weathering degree due to freeze-thaw cycles is highly dependent on rock mineralogy composition considering rock mineralogy differ from location to location. Further research is necessary to examine the effect of rock mineralogy on rock freeze-thaw weathering. 2. High correlation between water absorption and P-wave velocity with increasing freeze-thaw cycles enables indirect estimation of remaining time of weathering grade estimated freeze-thaw cycles from the changes of regional air temperatures. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Location**} & **P-Wave Velocity** & **Freeze–thaw Cycles of** & **Variation Years by** & **Variation Years by** \\  & **Decrease Per** & **Variations up to 2000** & **33 Freeze–thaw** & **62 Freeze–thaw** \\  & **Cycle** & **m/s from Initial Value** & **Cycles** & **Cycles** \\ \hline A & 1.164 m/s & 3551 cycles & 108 years & 57 years \\ B & 0.289 m/s & 7704 cycles & 233 years & 124 years \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Variation periods of rock physical properties due to freeze–thaw test. We proposed equations to predict the progression from fresh rocks in the study region to weathered rocks and made calculations using these equations. Freeze-thaw weathering of rocks from Location A was predicted to take \(\geq\)3551 cycles and of rocks from Location B was predicted to take \(\geq\)7704 cycles. Thus, the weathering duration for rocks from Location A was 191-358 years and for rocks from Location B was 159-298 years. The time for the weathering grade of the rocks to be weathered rocks as a result of natural freeze-thaw was 57-108 years for rocks from Location A and 124-233 years for rocks from Location B. 4. The developed predictive equations make it possible to rapidly and accurately predict rock weathering, in order to logically measure the structural durability and limits of use of structures containing rocks. Therefore, these equations will help to determine appropriate times and durations of structural maintenance and repair, improving the sustainability of the current state of structures. However, further studies are needed on the production of spatiotemporal information related to variation in rock physical properties in broad regions and on the effects of past climate change trends on rock weathering. Conceptualization, K.P. and D.K. ; methodology, K.P. ; validation, B.Y.L. and K.L. ; investigation, K.P., B.Y.L. and K.L. ; resources, B.Y.L. ; data curation, K.P. and K.L. ; writing--original draft preparation, K.P. and D.K; writing--review and editing, D.K. ; visualization, K.L. ; supervision, D.K. All authors have read and agreed to the published version of the manuscript. This research was supported by the National Research Foundation of Korea Grant from the Korean Government (MSIT; the Ministry of Science and ICT) (NRF-2016M1A5A1901769; KORRI-PN20081) (Title: Circum Arctic Permarfrost Environment Change Monitoring, Future Prediction and development Techniques of useful biomaterials; CAPEC Project), Industrial Facilities & Infrastructure Research Program (IFIP) funded by Ministry of Land, Infrastructure and Transport of Korean government (19 IFIP-B089075-06;19 IFIP-B089084-06; KORRI-PN19110) and Incheon National University Research in 2019-2020. The authors acknowledge the support by the National Research Foundation of Korea, the Ministry of Land, Infrastructure and Transport of Korean government and Incheon National University, Korea.