The in situ stress state of deep surrounding rock is critically important for mine safety and resource extraction. This study focuses on a lead–zinc mine in Yunnan Province, China, with the objective of characterizing the distribution of the deep in situ stress field. A self-developed digital wireless acquisition system for in situ stress measurement with dual temperature compensation was emplo6yed to conduct measurements at eight underground points. Based on the measured data, the in situ stress field was inverted using the finite difference method combined with multiple linear regression, and a three-dimensional geological model of the mining area was established. The results indicate that the stress field is predominantly governed by horizontal tectonic stress, with the principal stresses showing an approximately linear increase with depth. The average relative error between the inverted and measured stress field values was 7.74%. Finally, stress parameters at key underground locations derived from the inversion model were applied in numerical simulations, providing data support for the engineering design and safety assessment in deep mining of this lead–zinc mine.

The stabilization of rock mass vibrations in underground excavations presents a critical engineering challenge due to the interplay of viscoelastic dynamics, impulsive shocks from blasting or rock bursts, and time-varying delays induced by wave propagation and sensor–actuator networks. In this paper, an integral sliding mode control scheme is developed for a Kelvin–Voigt type hyperbolic system subject to such impulsive effects and time-varying delays. To preserve sliding surface continuity under impulsive disturbances, the impulse information is explicitly incorporated into the design of the integral sliding function. The resulting sliding mode dynamics, which include discrete state jumps, are analyzed using a piecewise Lyapunov functional combined with inequality techniques; sufficient conditions are derived to guarantee asymptotic stability. Moreover, a sliding mode control law is synthesized to ensure that the system trajectories reach and remain on the sliding manifold from the initial time onward, despite parameter uncertainties and external disturbances. Numerical simulations with parameters reflecting realistic mining scenarios verify the effectiveness of the proposed control strategy, demonstrating its potential for practical rock mass vibration stabilization in geotechnical engineering.