# Mechanics Model of Floor Heave: Case Study on Thin Coal Seam with Soft Roof and Floor
## 6 Conclusions  
Winker elastic foundation is used to create the mechanical model of floor heave in gob-side entry retention, and the analytical solution to the floor heave deformation deflection equation is provided. The mechanism of the floor heave deformation of the goaf retaining roadway in a thin coal seam is explained. The influence of different factors on the deformation of the floor heave of the goaf retaining roadway was analyzed. An innovative proposal to move the paste-based filler body into the interior of the roadway to reduce floor deformation was provided. The paper has important guiding significance for explaining the mechanism of floor heave in goaf roadway and controlling the deformation of the roadway floor. The conclusions are as follows.  
(1) The results of the theoretical calculations reveal that the deformation of the floor on the side of the solid coal and roadside support body is almost nil, and that the deformation of the floor in the roadway area is characterized by a \"parabola\" and nonsymmetrical phenomenon. The floor heave deformation reaches a maximum value of 628 mm close to the side of the roadside support body.  
(2) With passing time, the floor of 1701 Upper Roadway becomes more deformed. The rate of roadway floor heave deformation is faster in the first 50 days, reaching 13.3 mm/d; after 50 days, the rate is relatively mild, reaching 0.9 mm/d; the maximum deformation is 645 mm after 100 days, and the difference between the maximum value predicted by the theoretical model and the maximum value actually measured is 2.6%.  
(3) Roadside filling bodies and the bottom of solid coal-sided walls deform very little. \"Parabola\", with non-positive symmetry, characterizes the deformation of the floor in the roadway area. The side of the roadside filling body is where the floor heave deforms the most. The buried depth, highway width, and the floor's elastic modulus are all linearly and positively connected with the floor heave value and asymmetry, respectively.  
Conceptualization, P.H. and M.L.; methodology, J.X.; software, G.R.; validation, C.Z. and F.C.S.; formal analysis, P.H.; investigation, M.L.; resources, G.R.; data curation, C.Z.; writing--original draft preparation, P.H.; writing--review and editing, P.H. and J.X.; visualization, C.Z.; supervision, J.X.; project administration, M.L.; funding acquisition, P.H. All authors have read and agreed to the published version of the manuscript.  
Figure 17: The measured gob-side entry retaining floor deformation curve after improvement.  
**Funding:** This research was funded by the National Natural Science Foundation of China (52104105) and the Key Laboratory of Deep Earth Science and Engineering (Sichuan University), Ministry of Education (DESE202203).  
**Institutional Review Board Statement:** Not applicable.  
**Informed Consent Statement:** Not applicable.  
**Data Availability Statement:** The data presented in this study are available on request from the corresponding author.  
**Conflicts of Interest:** The authors declare that they have no conflict of interest to this work.