## 4 Analysis of Test Results
### Spatial Distribution Characteristics of Goaf Pressure
#### 4.2.2 Goal Pressure Inversion Analysis
While the BPPS data show greater variability, the optical fiber inversion results present a smooth and continuous curve. Overall, the two methods exhibit good consistency in trends. This study represents the first systematic comparison of the performance of these two monitoring methods across different advancement distances. The complementarity of this dual monitoring system not only validates the reliability of each method's data but also provides a more comprehensive and accurate dataset for studying the evolution of pressure in the gob area, offering significant value for guiding engineering practices. The considerable discrepancy between fiber optic-inverted goat pressure and BPPS measurements can be attributed to two primary factors: the challenges in quantifying sensor-formation interfacial coupling efficiency and the inherent geological anisotropy of the ambient strata. These limitations necessitate further comprehensive investigation to enhance measurement accuracy. The comprehensive experimental results demonstrate a robust validation of the theoretical framework through multiple lines of evidence: the distributed optical fiber sensing system successfully captured the predicted strain evolution patterns, with measurements showing the theoretically anticipated threshold of 4000 \(\mu\epsilon\), marking the transition from continuous to discontinuous deformation. The experimental data revealed precise correlations between face advancement distances and deformation characteristics, matching the theoretical predictions of stress field evolution. Furthermore, the dual-monitoring approach, combining DOFS with DIC and BPPS measurements, provided cross-validation of the theoretical model's predictions, with measurement deviations consistently remaining within 15% across different advancement stages. The observed \"U-shaped\" pressure distribution pattern in the goat area aligns perfectly with the theoretical stress transfer mechanisms, while the temporal evolution of strain patterns and pressure distributions corresponds closely to the predicted mechanical behavior of the rock mass. This multifaceted experimental validation not only confirms the accuracy of the theoretical framework but also establishes its practical applicability for real-world mining operations, thereby bridging the gap between theoretical understanding and engineering implementation. Through the comprehensive analysis of critical layer deformation and goat pressure inversion, we have gained valuable insights into the spatial distribution characteristics of goat pressure and the underlying mechanical behavior of surrounding rock masses. Building upon these experimental findings, the following discussion section will explore the broader implications of our results, examine potential mechanisms driving the observed phenomena, and evaluate their significance for mining engineering practices. This critical examination will not only help validate the existing theoretical frameworks but also identify areas where our current understanding could be enhanced through future research.