Characteristics and Time-Space Evolution of Mining Stress in High Stope

Due to the lack of relevant investigation research on the evolution of mining stress in high stope of metal mines, the understanding of how to ensure the safety during mining process is not clear at all. In this paper, by monitoring the mining-induced pressure of the surrounding rock in the 16-2 stope of Lilou IronMine, the evolution of the mining-induced pressure of the subsequent filling and mining method of the high-stage empty field is obtained.,e study shows that there are three stages of pressure change in the second-step stope of Lilou IronMine: I (stress rising stage), II (stable stage), and III (pressure relief stage), and the mining stress in the surrounding rock is transferred from the top to bottom. ,e stress transfer model of stope is proposed, and the variation of vertical stress versus the depth is fitted; the four horizontal sections are fitted, respectively. By establishing the three-dimensional numerical model and distributed excavation simulation, the time-space evolution of mining stress is obtained and compared with the in-site measuring result. ,e two results show high consistency, and the effectiveness of numerical simulation is verified.


Introduction
e stress disturbance of surrounding rock based on the original rock stress state is the direct factor causing the instability and failure of the project, and the mining stress accompanying the mining process of the ore body is an important reason for the failure of the surrounding rock [1,2]. With the continuous increase of the mining scale of mines, the stress conditions of the surrounding rock of the roadway are becoming more complicated [3,4], and the problems related to the ground pressure are also becoming more prominent [5]. In the aspects of ore body mining and roadway support, it can be directly guided by the results of mining stress monitoring to ensure the safety of production [6]. For a long time, some research results about the mining stress distribution characteristics and migration law of surrounding rock have been studied by many scholars [7,8].
e field stress measurement technology based on hollow envelope strain gauge is used to monitor the stress during TBM tunnel construction of the diversion tunnel of Jinping II hydropower station, and the stress evolution characteristics of field monitoring are obtained [9]. By using a longterm stress monitoring system based on the digital CSIRO dual temperature compensation method, the effective monitoring of rock mining stress is realized, and the stress evolution law in the whole mining process is obtained [10]. By studying the abutment pressure changes around the stope, the distribution range, peak value, and spatial position of advanced abutment pressure are analyzed [11][12][13]. According to the space-time evolution law of three-dimensional stress of the floor and the stress of supporting structure, the main reason of roadway segmental failure and repeated failure is the space-time corresponding relationship of the surrounding rock deformation area [14][15][16][17]. According to the evolution law of mining dynamics under different mining conditions, the mining dynamic characteristics of the peak value and position of rock mass support pressure in front of the working face under the influence of mining are obtained [18,19]. Based on the study of three-dimensional mining stress variation law and overburden failure and instability process in deep stope, the action mechanism of vertical stress and horizontal stress in overburden fracture and instability process is mastered [20,21]. Based on the movement state of thick and hard rock strata, the stress transfer model of stope is established [22].
Most of the research studies focus on the law of mining stress evolution in coal mines. However, the effective monitoring methods and theoretical basis of mining stress in high stope of metal mines are a lack of research [23,24], and generally, metal mines can only make simple assumptions and analysis based on experience or engineering analogy, which has certain blindness. erefore, based on the previous research and the engineering background of Lilou Iron Mine, a new stress monitoring system is used to monitor the stope in real time, and the three-dimensional stress evolution of the surrounding rock in the whole mining process is obtained. Compared with the numerical simulation, the reliability of the monitoring method is verified, which is of great significance for revealing the dynamic disaster mechanism of surrounding rock in metal mines.

Monitoring System and Layout of Measuring
Points of Stope Mining Stress 2.1. Mining Stress Monitoring System. As shown in Figure 1, the stress monitoring system is composed of stress monitoring, data acquisition, and data processing. e self-made long-term stress monitoring system for underground cavern mining is mainly used for stress monitoring. e working temperature range is 0°C-60°C, the resistance value of the strain gauge is 120 Ω, the measurement accuracy is ±10 ppm, Bluetooth signal communication is adopted, and the waterproof and moisture-proof battery is continuously powered. e data acquisition format is NMEA 0183, and the resolution of the instrument is ±0.1 microstrain.

Working Principle of Mining Stress Monitoring System.
e monitoring system can realize the real-time monitoring of mining stress and automatic data storage, and the stress change in the whole mining process can be fully reflected. Combined with the actual mining process, this instrument is set to collect data every 20 minutes. e main stress measuring instrument of the system is the front-end digital hollow inclusion strain gauge [25], there are three groups of strain gauges in the instrument, each group consists of three circumferential strain gauges and three transverse strain gauges, three parallel measurements are realized, and the measurement error is reduced, as shown in Figure 2, where 1-12 are the strain signal channel and 13-14 are the dual temperature compensation channel.
According to the theory of in situ stress measurement, the stress-strain relationship in each direction is as follows: In the formula, ε θ is the circumferential strain, ε z is the axial strain, c θz is the shear strain, k 1 , k 2 , k 3 , k 4 are the correction coefficient, σ x , σ y , σ z , τ xy , τ yz , τ zx are the stress component, ε ±45°i s the drilling axis, and ±45°is the strain value.
e axial strain along the measuring hole can be obtained by measuring the axial strain gauge, and the resultant force along the circumference of the hole can be obtained by adding 0°, 120°, and 240°of the three circumferential strain gauges. e least square method was used to analyze the 3 sets of repeated data obtained by the instrument monitoring. It can be seen from formula (2) that by averaging the three axial strains in the measurement results, the requirements of three parallel measurement tests can be achieved, and the average axial strain formula is obtained [10]: For hoop strain measurement, 3 strain gauges in the same measurement ring are arranged at 0°, 120°, and 240°, the measurement results are substituted into formula (5), and the results of the three measurement rings are added together to obtain From formulas (5) and (6), the magnitude of the axial stress σ z and the hoop stress level (σ x + σ y ) can be obtained. Decompose (σ x + σ y ) according to the plane strain problem, and the three-dimensional stress at the measuring point can be obtained.

Layout of Stope Monitoring Points.
Lilou Iron Mine adopts the high-stage subsequent filling mining method, and the stope is mined to form a substantial mined-out area of nearly 100 m, 50 m wide, and 20 m long, with a lateral exposed area of 4000 m 2 ∼6000 m 2 . At the same time, it is affected by the mechanical effects of gravity, stress release of the surrounding rock of the upper (lower) plate, and the original pillars on both sides and the blasting impact of the stope. With the development of mining, the stress around the stope is redistributed, which causes stress concentration in some parts and causes a series of ground pressure behavior problems. Such as roof fall and rib spalling, this makes the safety of the surrounding roadway and stope mining and workers' lives and safety are greatly affected.
With the continuous mining of 12-2 # stope, 12-6 # stope, and 14-4 # stope, the roadway in different sections of southern Lilou Iron Mine has been damaged in a large area, and the operation safety of the stope has been seriously affected. Under the condition that the actual production progress of the mine is considered, 16-2 # stope is selected to monitor the mining stress, and one monitoring point is arranged in each of the four horizontal drift sections, as shown in Figure 3 e monitoring point is arranged at the entrance of each section of the horizontal roadway. e row of blastholes that is farthest in the horizontal direction is about 35 m (about 15 rows of blastholes), and the vertical direction is 1.5 m away from the roadway floor. After the monitoring system is installed, the instrument data must be cleared after each data extraction.

Stress Monitoring Data.
e instrument installation and commissioning work are carried out at the four levels of the 16-2 # mining area of Lilou Iron Mine, respectively, the monitoring data of stope were selected from September 9, 2017, to June 4, 2018. e mining stress monitoring system is set to collect data once every 20 minutes, the collected data   Advances in Materials Science and Engineering are processed, and the data chart is drawn in days, as shown in Figure 4. By monitoring the disturbance stress in the high stope, the complete dynamic evolution law of the stope ground pressure is obtained. Since the monitoring instrument is installed vertically, the vertical stress is set as σ z . e transverse horizontal stress is σ x . e axial horizontal stress is σ y . e compressive stress is positive, and the tensile stress is negative. Figure 4 illustrates that in the initial stage of the instrument installation, as the cement gradually solidified, the probe was connected with the rock wall around the hole, under the influence of the original in situ stress of the surrounding rock, the monitoring stress value increased steadily. Five days after the installation of the stress monitoring system, the change value of the vertical stress of the four horizontal sections was the most obvious, reaching 2.6 MPa on average, while the change of the transverse stress and axial stress was relatively not obvious, this was because the stress on one side of the vertical excavation face has been released, and the instrument bears the influence of the vertical stress. During the whole mining process, the vertical stress, axial stress, and transverse stress have a similar evolution law, the specific performance is that the threedimensional stress peak presents a rising trend, and the stress state of stope surrounding rock is clearly affected by blasting vibration; blasting shock and blasting vibration will make the stress of surrounding rock suddenly increase, but gradually the pressure will transfer to the surrounding rock.
Part of it dissipates. is monitoring work will continue until the completion of the mining operation, and finally the monitoring of mining stress will end at a distance of about 4 m from the empty area (no monitoring conditions on-site).
In the long-term mining process, it can be seen that the three-dimensional stress values of −325 m, −350 m, and −375 m horizontal sections are stable, which is the result of stress redistribution after each stope operation. After stress redistribution, the stress value of stope is stable. Affected by far-field operation, the stress value will fluctuate, but it can be ignored. −400 m is the horizontal section of ore removal, due to the influence of the overburden above and the selfweight of the collapsed ore body, the stress increases continuously, and the vertical stress change value is about 24 MPa, which leads to the continuous development of the surrounding rock cracks and eventually the destruction of surrounding rock, which is consistent with the actual situation. erefore, in the actual production process of the mine, the damage condition of the surrounding rock at the level of ore drawing section should be checked regularly, and the areas with potential safety hazards should be dealt with in time.
As shown in Figure  and 3.43 MPa, respectively, which is about 12% compared with the stable bearing stage. When the pressure is in the unloading stage, the pressure is released rapidly due to the rock fracture at the monitoring point, which shows the rapid stress falling down feature on the curve. e three-dimensional stress peak values of the four horizontal segments are further selected as shown in Table 1, in which the vertical stress is higher than the horizontal stress, and the axial stress is higher than the transverse stress. e horizontal and axial horizontal average pressure measurement coefficients are 0.41 and 0.64, respectively, it reflects that the direction of maximum horizontal principal stress in the stope is the direction of instrument installation, and the lateral pressure coefficient also increases with the increase of mining depth, indicating that the in situ stress field in the mining area is dominated by the horizontal tectonic stress and supplemented by vertical tectonic stress. In the development and design of roadway, the distribution of the maximum principal stress in the mining area should be considered, and the direction of the vein roadway should be consistent with the direction of the maximum principal stress or intersect at a small angle, to reduce the pressure on the roadway, which is of great significance to ensure the safety of the roadway.

Mining Stress Evolution.
After the commissioning of the mining stress monitoring system, blasting work was started in 16-2# stope. At the end of the high stope, the cutting groove is formed by one-time blasting with medium depth hole, the cutting groove is taken as the free surface, and every three rows of blastholes are blasted as an operation unit. e upper horizontal section is horizontally ahead of the next horizontal section by an independent advance of one breaking, forming a downward trapezoidal face. When the first row of blastholes was mined in sequence with the last row of blastholes, the whole mining operation is completed. e distance between the mining point and monitoring point of four section and horizontal sections is selected as the horizontal coordinate, respectively, and the peak value of mining stress is taken as the vertical coordinate, as shown in Figure 5. rough the real-time monitoring of the mining stress in the process of high-level stope mining, the dynamic evolution law of the mining stress of the complete stope (stress rising stage, stable stage, and pressure relief stage) is obtained.
(1) I (stress rising stage): with the continuous advance of the working face, the distance between the working face and the monitoring point is decreasing, and the stress state of the rock mass at the monitoring point in front of the working face shows that the vertical stress and horizontal stress are increasing. With the continuous excavation of the ore body, the threedimensional mining stress state of the overlying strata of the roadway has changed, the vertical stress of the roadway is increasing, and the damage of the surrounding rock is accumulating, resulting in roof fall, rib spalling, and other problems. (2) II (stable stage): as the working face continues to move forward, the distance between the working face and the monitoring point is further shortened, the stress on the surrounding rock at the monitoring point gradually reaches its peak, and the three-dimensional stress does not change significantly. At this stage, the surrounding rock force of the roadway is at its peak state, and the rock mass damage will continue to be accumulated. When the rock mass bearing stress limit is reached, the roadway is prone to deformation and failure. (3) III (pressure relief stage): when the three-dimensional stress of the rock mass at the monitoring point reaches the peak value, it will decay rapidly as the working face moves forward again. At this time, the peak stress is transferred to the rock mass in front of the monitoring point, and the stress on the surrounding rock in the stope is released.
As shown in Figure 6, the monitoring results of the four horizontal sections show that the internal stress of some rock mass whose distance from the monitoring point to the working face is more than 15 m is increasing, and the peak stress is reached at about 5.5 m away from the monitoring point. When the distance is less than 5.5 m, the stress decreases rapidly. Due to the presence of micropores and weak structural surfaces in the rock mass, and the repeated action of disturbing stress such as blasting and ore transportation, the rock will produce plastic strain, and the stress-strain response is not synchronized, which is manifested as the stress attenuation of the rock, as shown in Figures 5(a) and 5(d). In the abovementioned engineering disturbances, blasting has the most obvious impact on the stress state of the rock mass. Under the action of the blasting shock wave, the energy in the rock mass accumulates rapidly, and the stress rises rapidly in a short period of time, which is manifested in the phenomenon of stress jump on the monitoring data map. During the entire mining process, due to the advancement of the working face, the stress state of the overlying rock and the surrounding rock of the roadway has changed drastically. e destruction of rock cracks continues to develop, and the stress continues to change and redistribute. At the monitoring point, the rock mass has a temporary stress reduction phenomenon, but as the working face advances, the rock mass stress will rise again, as shown in Figure 5(c).
By further selecting the three-dimensional peak stress in three stages of stress rising stage, pressure bearing stable stage, and pressure relief stage, the time-space evolution law of the three-dimensional peak stress in 16-2 # stope is obtained, as shown in Figure 7. In terms of the horizontal height of different sections of stope, the three-dimensional stress evolution law of the four sublevel levels tends to be consistent in the whole mining process, which indicates that the change of mining stress can be more accurately reflected by the monitoring system. And in terms of the vertical peak stress in the four horizontal sections, as the mining depth increases by 25 m, the vertical stress peak increases by an average of about 2.52 Mpa, which is equal to the weight of the overburden.

Mining Stress Transfer Model.
Combined with the above analysis of the time-space evolution law of mining stress, to grasp the distribution state of surrounding rock stress in high stope, the vertical stress with the greatest influence on As shown in Figure 8, with the mining of the ore body, the stress is mainly borne by the pillar, and the vertical stress of −325 m horizontal section reaches the peak value first, and the stress peak of −350 m horizontal section, −375 m e surrounding rock of the roadway presents "layered ladder" stress transfer, and it is "layered ladder" stress transfer from top to bottom. e formula can be used to estimate the numerical range of the vertical stress σ z of the surrounding rock of the roadway when the roadway is buried in different depths and excavated to a certain position in the stope mining process, which provides a certain guidance for the safety production of the mine.

Comparative Analysis of Numerical Simulation
On the basis of the abovementioned in situ experimental analysis, to further grasp the stress and displacement of the surrounding rock of the roadway during the mining process of the large structure parameter stope, the 16-2 # stope of Lilou Iron Mine was selected and combined with the numerical software FLAC3D authenticating.

Model Construction and Mechanical Parameter Selection.
rough a comprehensive analysis of the occurrence characteristics of the Lilou iron ore body, the location of the excavated ore body, and the scope of the excavation influence, a three-dimensional calculation model was established.
e size of the model is 400 m × 180 m × 300 m, and the model height is −200 m∼500 m; the ore body is located between −400 m and −300 m in elevation. In the process of establishing the ore body model, the MIDAS-GTS software was used for modeling without considering the small-scale geological structure surface with little impact on the mining area. e numerical model is composed of a hanging wall, ore body, footwall, and filling body. e X direction is perpendicular to the ore body strike, the Y direction is along the ore body strike, and Z is the vertical direction. Geotechnical engineering numerical simulation software is used to construct the model and mesh. It is divided into 77,919 units and 55,406 nodes, as shown in Figure 9. Considering the stope structure parameters of Lilou Iron Mine are large, the stope is mined by layers, and the mining time of each section level varies greatly; the mine pillars to be excavated are subdivided according to the horizontal section. Combined with the actual situation of on-site mining, the model excavation calculation is carried out in 9 times. e internal excavated ore body model is shown in Figure 10.
is simulation takes into account the actual situation of the site. To maximize the restoration of the site conditions and reflect the time-space effect during excavation, four sublevel minings are designed, and there is a certain time difference in the mining progress; the excavation of the ore body starts from ① and ends at ⑨, as shown in Figure10(b). Figure 10(a) shows that the stope adjacent to 16-2 # stope has been mined and filled with backfill. e rock mass in the project area is sampled, and dolomite marble, specularite, and chlorite schist are processed into standard test pieces for physical and mechanical properties tests. Limited to space, some test results are shown, as shown in Figure 11. e rock parameters are determined by combining the results of joint surface investigation on the project site, and the reduction schemes of rock type, rock classification RMR value, GSI value of rock structure surface, etc. e mechanical parameters obtained from the test are weakened, as shown in Table 2.

Constitutive Selection and Boundary Condition Setting.
e rock mass parameters used in this model calculation are dolomite, basalt, chlorite, schist, and cemented infill. According to engineering experience, the Mohr-Coulomb yield condition is generally used as the constitutive calculation. e expression is In the formula, the sign stipulates as follows: tensile stress is "positive," compressive stress is "negative," σ 1 and σ 3 stand for maximum and minimum principal stresses, and c and φ stand for cohesion and internal friction angle. When f s > 0, the material will undergo shear failure. In the state of tensile stress, if the tensile stress exceeds the tensile strength of the material, that is, when σ 3 ≥σ T , the material will undergo tensile failure. e upper boundary of the model is loaded with 4.9 MPa, and the lower boundary is fixed. e horizontal constraint boundary of the ore body strike (i.e., Y direction) is imposed, and the boundary displacement of ore body dip direction (i.e., X direction) is fixed. Because the initial in situ stress field has an important influence on the reliability and accuracy of the numerical simulation calculation results, the field-measured in situ stress data are used in this model calculation. e in situ stress measurement results of Lilou Iron Mine show that the direction of the maximum principal stress is NE, and the regression equations of the maximum horizontal principal stress and the minimum horizontal principal stress varying with depth are applied as boundary stress conditions [26]. e equation is as follows: σ min � −1.2066 + 0.0255H(MPa).

Analysis of Numerical Simulation Results.
Combined with the actual monitoring results, it can be seen that the vertical stress of the mining stress has the greatest impact on the surrounding rock. erefore, the vertical stress of the three stages of simulated mining is selected for analysis, and the results are shown in Figure 12. Figure 12 shows the stress distribution cloud diagram of the vertical stress of 16-2 # stope during the entire mining process. From Figure 12(a), it can be seen that in the early stage of mining, affected by the weight of the rock mass, the vertical stress increases from top to bottom, and a certain pressure relief area is formed above the roof of the roadway along the vein. Figure 12(b) shows that with the mining of the ore body, the area of the goaf gradually increases, the stress continuously redistributes, and an obvious pressure relief area is formed above the goaf; the roof of the minedout area is mainly compressed, and the pressure range is 0∼ 2 MPa; part of the rock mass is subjected to a tensile stress of 1.05 MPa, which is less than the tensile strength of the rock mass itself. e stress of the rock mass above the mining drift in the mining direction gradually increases to the peak stress, which shows the spatial transfer mode of the vertical stress with the mining of the ore body, which is consistent with the actual monitoring results. e stress concentration of the part of the bottom of the goaf and the surrounding rock of the upper wall is 22.25 MPa, which is a factor that causes the failure of the bottom structure of the goaf. Figure 12(c) shows that with the completion of the mining work, pressure relief zones are formed on the upper and lower sides of the mined-out area, and the surrounding rock stress redistribution is completed. e range of compressive stress along the vein roadway is 6-12 MPa, which is about 50% higher than that in the initial stage of mining, which is also the reason for the problems of roof fall and rib spalling in the actual production process. Figure 12(d) shows that the roof and floor of the goaf mainly produce tensile failure, and the upper and lower walls of the goaf mainly produce shear damage, especially the surrounding rock of the lower wall, which produces a large range of shear damage, so the lower wall the roadway in the surrounding rock should be strengthened to support.
To make a more intuitive comparison with the field monitoring data, the three-dimensional stress data of −325 m, −350 m, −375 m, and −400 m horizontal sections are extracted, and the evolution law of mining stress in the whole mining process is obtained, as shown in Figure 13. e numerical simulation result in Figure 13 shows that the four-stage horizontal stope process of 16-2 # stope has similar regularity to the actual measurement, and it is also divided into three stages, namely, I (stress rising stage), II (stable stage), and III (pressure relief stage). e measured result vertical stress peak value reaches 23.78 MPa, the simulation result vertical stress peak value reaches 17.71 MPa, while the measured horizontal stress peak value reaches 15.03 MPa, and the simulated result horizontal stress peak value reaches 4.15 MPa. Compared with the measured  results, the numerical simulation results are slightly smaller, but there is no order of magnitude difference between them; therefore, the evolution law of mining stress based on numerical simulation is reasonable, and the reliability of the stress measurement method used in this paper is verified.

Conclusion
Based on the mining stress in-site measurement, a new monitoring system of mining stress is adopted in this work to study the temporal and spatial evolution of surrounding rock stress under the influence of mining stress. A threedimensional numerical model is established, and the simulation results are in good agreement with the measured results. e following conclusions can be drawn: (1) rough the mining-induced pressure in-site monitoring of the 16-2 # stope of Lilou Iron Mine, the evolution of mining-induced pressure in the subsequent filling mining method of the high stage empty pit is obtained. e force process of the surrounding rock of the mining is roughly divided into three stages: I (stress rising stage),II (stable stage), and III (pressure relief stage), and the evolution law is universal. e stress is gradually rising (outside about 19 m), the stability stage (about 6.5 m-19 m), and the pressure relief stage (3.5 m-6.5 m). e mining stress in the surrounding rock is transferred from the top to bottom. (2) e mining stress transfer model of stope is constructed, and the vertical stress variation with depth is fitted, the fitting coefficient R 2 of -325 m, −350 m, −375 m, and −400 m horizontal section is 0.79, 0.86, 0.89, and 0.94, and the fitting result is good. e variation can not only estimate the value range of vertical stress when the roadway with different buried depth is excavated to a certain position but also can predict the change value of mining stress in the next deep mining. e result is of practical significance for the areas with the possibility of surrounding rock deformation and failure to make protection guidance in advance, and for the timely treatment of sudden accidents.
(3) By constructing the three-dimensional numerical model and carrying out distributed excavation simulation, the time-space evolution of mining stress in the stope was obtained. Compared with the in-site measurement results, the two results show high consistency, and the effectiveness of numerical simulation is verified; this will provide reference for the same type and similar mining method.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.