## 5 Conclusions  
Assessment of the stability of the geological environment during disposal HLRW for the period of their radiobiological hazard (more than ten thousand years) is a very difficult task in the field of Earth sciences. Currently, this complex problem is being solved in several countries. For example, in Sweden (<<Forsmark>>) and Finland (<<Aspo>>), similar facilities are already under construction. The proposed methodology for assessing sustainability complements the methods used in these and other countries to assess the suitability of the geological environment for the disposal of HLRW. The degree of stability of the environment as a geodynamic active system is related to the distribution features of the geospatial data complex, including the characteristics of the relief, tectonic faults, geophysical fields, stresses, etc. The search for anomalies and morphological patterns in the distribution of data allows us to identify possible sites of the destruction of structural blocks. The presented methodology for assessing the stability of the geological environment based on the methods of DMA and fuzzy logic is informed by the analysis of dynamic indicators as functions of geodynamic activity of the environment by groups: geological and geophysical data, geomorphological variability of relief, the density of tectonic faults, stress-strain state, and magnetic and gravity field anomalies for the area [46; 47; 48; 49]. A detailed analysis of the correlation matrix of the MDAI for four groups' characteristics of the environment \(\mu D_{f}\) demonstrated that the absolute majority have a weak correlation. This is a positive point, as the features should not be collinear. Otherwise, due to the high variance of the data, the generalizing ability of the integral measure of geodynamic safety \(S_{F}(w)\) would decrease. Medium and strong correlations were found within the groups of indicators \(\mu D_{f}\). The integral measure of geodynamic safety \(S_{F}(w)\), which combines different MDAIs, allows geodynamic zoning of the HLRW disposal area and specifying places for field instrumental observations. The effectiveness of the presented methodology depends on the quality and volume of the source data. In our study, the methodology only demonstrates a possible approach to the systemic assessment of stability, and it could be expanded in the future both in terms of increasing features and by creating new algorithms. It could also be used for the identification of linear anomalies associated with hidden tectonic faults and dangerous zones of geodynamic instability. It was found that most of the studied territory, where HLRW disposal is currently planned, is located in an intermediate zone in terms of the degree of geodynamic stability \(S_{F}\geq 0.75\). The number of dangerous clusters \(S_{F}\leq 0.25\) is very small and occupies about 1.1% of the entire territory. Conceptualization, S.M.A. and V.N.T. ; methodology, S.M.A. and I.V.L. ; software, I.O.B. ; validation, I.V.L., I.O.B. and M.A.P. ; formal analysis, A.I.M. ; investigation, M.A.P. ; resources, I.V.L. and A.I.M. ; data curation, I.V.L. ; writing--original draft preparation, S.M.A., I.V.L. and A.I.M. ; writing--review and editing, V.N.T., M.A.P., I.O.B. and I.V.L. ; visualization, I.V.L. and A.I.M. ; supervision, V.N.T. ; project administration, S.M.A. ; funding acquisition, V.N.T. All authors have read and agreed to the published version of the manuscript. **Funding:** This research was funded by the Russian Science Foundation (project No. 18-17-00241). **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Informed consent was obtained from all subjects involved in the study. **Data Availability Statement:** The data presented in this study are available upon request from the corresponding author. The data are temporarily not publicly available due to research policies and implementation of research programs.