3.1 Statistics of mechanical parameters of saturated coal with a single pre-existing hole
In this test, uniaxial loading was carried out on 4 groups of coal samples, and mechanical parameters of four different types of coal samples were calculated respectively and their average values were obtained. The statistical statistics of mechanical parameters of four different types of coal samples were shown in Table 1.
Comparing and analyzing the variation of mechanical parameters of different types of coal samples, it is found that the strength and elastic modulus of coal samples are degraded by water saturation measures, single pre-existing hole measures. The strength, elastic modulus and peak strain of the intact coal sample are degraded by 23.49%, 12.904% and 1.99% respectively. The degradation of mechanical parameters of the coal sample by the water-saturated measure is mainly due to the change of the microstructure of the coal sample through lubrication. The measure of single pre-existing hole degrades the strength of coal sample by 9.47% and the modulus of elasticity by 17.75%, but increases the peak strain slightly. The single pre-existing hole measure mainly changes the macro-structure of coal rock by creating round hole defects, which degrades the strength, elastic modulus and other parameters of coal sample. The slight increase of peak strain is due to the existence of holes, which increases the brittleness of coal sample, and the failure instantly increases the deformation of coal sample. The coupling effect of the two measures changes the microstructure and macro-structure of coal samples at the same time. The strength of intact coal samples in natural state deteriorates by 47.95%, the elastic modulus deteriorates by 31.5%, and the peak strain decreases by 11.44%.
The single effect of water saturation and single pre-existing hole measures and the coupling effect of the two measures on the change of mechanical parameters of coal samples are comprehensively compared. The coupling effect of the two measures causes the simultaneous change of macro and micro structure and the deterioration of mechanical parameters of coal samples is the most obvious. In order to further understand the role of water saturation and single pre-existing hole measures in the coupling process of coal sample, by further comparing the mechanical changes of water saturation measures on intact and single pre-existing hole coal samples, and the changes of mechanical parameters of natural and saturated coal samples, it can be found that in the coupling process of the two measures on coal samples, The change of microstructure of coal sample caused by water saturation measure plays a more fundamental role in the deterioration of mechanical parameters such as coal sample strength, and the single pre-existing hole measure plays a supporting role in the deterioration of mechanical parameters such as coal sample strength. The coupling effect of the two factors has a far greater effect on the mechanical deterioration of coal sample than the single measure, which is more conducive to the weakening of coal rock strength.
Table 1 Mechanical parameters of different types of coal samples
Test piece status
|
Average compressive strength /MPa
|
Average peak strain
|
Average modulus of elasticity /MPa
|
Natural state
|
intact
|
16.10
|
0.0201
|
1729.25
|
Water-saturated
|
intact
|
12.318
|
0.0197
|
1506.10
|
Natural state
|
hole
|
14.576
|
0.0223
|
1422.24
|
Water-saturated
|
hole
|
8.38
|
0.0178
|
1184.523
|
3.2 Deformation and failure characteristics of saturated coal with a single pre-existing hole
According to the obtained full-stress-strain curves, the deformation of the coal samples can be divided into pore fracture compaction stage (OA section), elastic deformation stage (AC section), microelastic fracture stable development stage (CD section), unstable fracture development stage (DE section) and post-peak failure stage (EF section). The typical stress-strain curve of the coal sample is selected for analysis, and the key characteristic points of the whole stress-strain process of the rock are determined strictly according to the method[37]. A~F is taken as the key characteristic points of the corresponding whole stress-strain curve, where A is the starting point of linear elastic deformation (from micropore compaction to the inflection point of elastic deformation). B is the semi-peak intensity point; C is the limit point of linear elastic damage; Point D is the turning point of elastoplastic deformation (yield point). E is the peak intensity; Point F is the residual strength.
(1) Typical intact coal samples in natural state
Figure 4 shows the whole stress-strain damage and failure process of the intact coal sample in its natural state. The coal sample is in the pore crack compaction stage (OA section) : the surface of the coal sample is relatively complete with no obvious cracks; When the coal sample enters the elastic deformation stage (AC section), small cracks will appear in different areas of the coal sample surface, and initial fracture areas will be formed on the coal sample surface, and the cracks will expand with the increase of pressure. In the stable development stage of microelastic crack (CD section), the surface crack of coal sample continues to expand and penetration occurs; Unstable fracture development stage (DE section) : surface cracks of coal sample continue to develop and penetrate, and spalling will occur, and the spalling area will form a region with obvious damage; The post-peak failure stage (EF stage) : the surface cracks of the coal sample penetrate each other, and the failure is more severe, and finally the shear failure mode appears. The intact coal sample in natural state mainly presents the shear failure mode with large and obvious single inclined plane cracks penetrating through the coal sample.
(2) Typical intact coal sample under Water-saturated Condition
Figure 5 shows the whole stress-strain damage and failure process of the intact coal sample with full water content. The intact coal sample under Water-saturated Condition enters the elastic deformation stage (AC section) : long initial cracks appear at the right edge of the coal sample, irregular cracks appear in the left area, and the initial long cracks in the right area continue to expand to the bottom. When the coal sample enters the stable development stage of microelastic cracks (section CD), the initial long strip cracks on the surface of the coal sample and the cracks in the bottom region run through, and the cracks continue to expand in the left edge region of the coal sample surface. Unstable rupture development stage (DE stage) : Cracks develop rapidly in the left region of the coal sample surface, and some of them peel off from the surface of the coal sample to form a more obvious failure region than the broken region. After the peak and post-peak failure stage, cracks on the coal sample surface penetrate each other, and the coal sample is further damaged. The final failure pattern of the intact coal sample under Water-saturated Condition is more complicated than that of the intact coal sample in natural state. The shear failure mode of one large and obvious main crack and several smaller secondary cracks through each other is presented.
(3) Typical coal sample with a single pre-existing hole in natural state
Figure 6 shows the whole stress-strain damage and failure process of the coal sample with a single pre-existing hole in natural state. In the elastic deformation stage (AC section) of the coal sample, long strip initial cracks appear successively at the right and left edges of the coal sample, and the long strip cracks in the right region expand under the loading of the force. In the stable development stage of microelastic fracture (CD segment), micro cracks appear around the holes, and long strip cracks further expand in the right region of the coal sample. In the development stage of unstable fracture (DE segment), cracks continue to expand and penetrate with hole in the right region, and eventually destroy the entire coal sample. The existence of hole will affect the development and penetration of cracks on the surface of coal sample, making the area around hole an easy area for fracture development and expansion. In the natural state, the failure mode of coal sample with a single pre-existing hole is shear failure of single inclined plane cracks through each other.
(4) Typical coal sample with a single pre-existing hole under Water-saturated Condition
Figure 7 shows the full stress-strain damage and failure process of the coal sample with a single pre-existing hole under Water-saturated Condition. In the elastic deformation stage (AC section) of the coal sample, initial tiny cracks appear in the left edge region of the coal sample surface. The micro-cracks spread under the loading of the force, and irregular stripe cracks appear on the right part of the coal sample surface in the late stage of elastic deformation. In the stable development stage of microelastic cracks (CD segment), the cracks in the left and right regions of the coal sample rapidly develop and penetrate to the top and bottom, and the cracks and hole in the right region are connected. The development stage of unstable fracture (DE section): the area with severe crack penetration spalling off from the surface of the coal sample, forming a large failure area. Under the joint action of the water saturation and single pre-existing hole measures. the failure of the coal sample is more complicated, and the cracks on the surface of the coal sample are more developed.
The stress-strain curves of four different types of coal samples are compared comprehensively, and the intact coal samples in natural state show relatively rapid fall failure. The post-peak part of the stress-strain curve of the intact coal sample with saturated water shows a multi-peak and multi-step decline, and the stress drops to the residual strength slowly. The coal sample with a single pre-existing hole in natural state fall rapidly after peak, showing brittle failure pattern. The post-peak part of the stress-strain curve of the coal sample with a single pre-existing hole under Water-saturated Condition shows a slight multi-step decline.
At present, the quantitative description of the influence of various measures on the deformation and failure process of coal rock is relatively few, in order to further explore the influence of different measures on the five stages of pore fracture compaction, elastic deformation and microelastic fracture stability development during the deformation and failure process of coal samples. The peak intensity of stress values at key characteristic points in the total stress-strain process of four different types of typical coal samples is calculated, as shown in Table 2. The peak intensity ratio of stress values at key characteristic points in the total stress-strain process is adopted to eliminate the difference caused by the comparison of single stress values.
The elastic deformation stage of natural intact coal samples occupies 67.46% of the pre-peak, and the stable failure stage occupies 10.529%. The elastic deformation stage of intact coal sample under Water-saturated Condition occupies 76.238% of the pre-peak and the stable failure stage occupies 7.978% of the pre-peak. water saturation measures prolong the elastic deformation stage by 8.778% and shorten the stable failure stage by 2.551%. The elastic deformation stage of coal sample with a single pre-existing hole in natural state occupies 65.53% of pre-peak, and the stable failure stage occupies 10.129% of pre-peak. The single pre-existing hole measure has little influence on the proportion of peak stress intensity in each stage of coal sample in natural state. Compared with the intact coal samples of the natural state, the starting point of linear elastic deformation A, the limiting point of linear elastic damage C and the turning point of elastoplastic deformation D change within 2%. The elastic deformation stage of coal sample with a single pre-existing hole under Water-saturated Condition occupies 85.218% and the stable failure stage occupies 2.178%. The joint action of saturated water and hole measures makes the peak intensity ratio of stress at the starting point of linear elastic deformation A decrease, and the peak intensity ratio of stress at the limiting point of linear elastic damage C increase more obviously. The coupling effect of the two measures prolong the elastic deformation stage by 17.758%, and shorten the stable failure stage by 8.351%.
By comparing the ratio of peak stress value of residual strength of different types of coal samples, the change difference is less than 4%, indicating that the measures of saturated water and hole have little influence on the residual strength of coal samples, and the measures of saturated water and hole mainly change the time when the peak strength of coal samples falls to the residual strength.
Table 2 Peak strength ratio of stress values at key characteristic points in total stress-strain process of different types of typical coal samples
Test part
|
Key feature point The peak value of the peak value (%)
|
A
|
C
|
D
|
F
|
Natural state
|
intact
|
17.114
|
84.574
|
95.103
|
3.828
|
Water-aturated
|
intact
|
12.608
|
88.846
|
96.824
|
4.079
|
Natural state
|
hole
|
17.492
|
83.022
|
93.151
|
7.106
|
Water-aturated
|
hole
|
8.258
|
93.476
|
95.654
|
3.934
|