Jianshe Linghu1, Minmin Li2, Gaowei Yue2. 1. Huayang New Material Technology Group Co., LTD., Yangquan 045000, China. 2. School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China.
Abstract
For coal and gas outburst and difficult extraction in soft, low-permeability, and high-gas seam, the integration technology of drilling and mechanical cavitation is put forward to relieve pressure and improve permeability of coal seam. Through the test of mechanical parameters of the coal body, the physical model of drilling and cave-making in coal seam is established, and the mechanical characteristics of drilling and mechanical cavitation are simulated numerically. The results show that the peak strength of coal increases linearly with confining pressure. When the drill bit just touches the coal, the maximum stress occurs at the center of the coal sample. With the increase in the drilling depth of the drill bit, the maximum stress point shifts to the depth. When the coal at the center of the sample is broken, the position of the maximum stress shifts to the surrounding. With the increase of drilling depth, the maximum contact number between the drill bit and coal body increases sharply. When the bit body basically enters the coal body, the maximum contact number between the drill bit and coal body remains unchanged. When the drill pipe rotates, the reaming tool collides with the hole wall at the reaming position on the axis. In general, the contact area increases with the opening of the reaming tool, but the contact between the reaming tool and the hole wall is random. As time increases, the contact force begins to increase and then basically stabilizes; at this time the reaming tool has been fully opened.
For coal and gas outburst and difficult extraction in soft, low-permeability, and high-gas seam, the integration technology of drilling and mechanical cavitation is put forward to relieve pressure and improve permeability of coal seam. Through the test of mechanical parameters of the coal body, the physical model of drilling and cave-making in coal seam is established, and the mechanical characteristics of drilling and mechanical cavitation are simulated numerically. The results show that the peak strength of coal increases linearly with confining pressure. When the drill bit just touches the coal, the maximum stress occurs at the center of the coal sample. With the increase in the drilling depth of the drill bit, the maximum stress point shifts to the depth. When the coal at the center of the sample is broken, the position of the maximum stress shifts to the surrounding. With the increase of drilling depth, the maximum contact number between the drill bit and coal body increases sharply. When the bit body basically enters the coal body, the maximum contact number between the drill bit and coal body remains unchanged. When the drill pipe rotates, the reaming tool collides with the hole wall at the reaming position on the axis. In general, the contact area increases with the opening of the reaming tool, but the contact between the reaming tool and the hole wall is random. As time increases, the contact force begins to increase and then basically stabilizes; at this time the reaming tool has been fully opened.
Engineering practice shows
that gas drainage is the most effective
measure to solve coal mine gas accidents, energy saving, and environmental
protection.[1] However, China’s coal
seam geology is usually complex, and coal seams damaged by structures
are common. These coal seams have the characteristics of soft and
broken coal and low permeability. According to statistics, more than
95% of China’s high-gas coal seams and outburst coal seams
belong to low-permeability coal seams, with the permeability of only
10–4 to 10–3 mD, which is 3–4
orders of magnitude lower than that of the United States. The ubiquitous
low-permeability coal seam leads to the problems of low extraction
efficiency, difficult extraction, and high treatment cost.[2]In order to improve the permeability of
coal seam, researchers
had adopted a lot of antireflection measures and technologies. For
example, the application of the mining protective layer greatly reduces
the cost of gas control in low-permeability and high-outburst coal
seam and achieves a good treatment effect.[3] However, for coal seams without a protective layer or single coal
seam, only other antireflection measures can be taken, for example,
high-pressure hydraulic fracturing, deep-hole loose blasting, dense
drilling, cross drilling, hydraulic slotting, hydraulic punching cavitation,
and other antireflection measures.[4−8] However, for soft and low-permeability coal seams such as structural
coal, the measures such as high-pressure hydraulic fracturing and
deep-hole loose blasting are not applicable because the cracks generated
by such measures are difficult to maintain in coal seam, which leads
to a poor antireflection effect and the risk of inducing outburst.[9] Therefore, the most fundamental way is to take
out the coal to achieve pressure relief effects, and the permeability
of the coal will be greatly improved after pressure relief.[10] However, the measures of pressure relief and
antireflection through a large number of boreholes have huge quantities
and high cost.The cavitation and antireflection technology
was first applied
in surface coalbed methane well completion. Mechanical, water jet,
or other measures were used to take out coal near the bottom of the
well to achieve the purpose of pressure relief and antireflection.[11−13] However, the complex underground conditions and limited space greatly
limit the use of large completion equipment. So far, the drilling-reaming
only relies on high-pressure water jet. The pressure relief and antireflection
effects caused by high-pressure water jet cavitation are remarkable,
but the coal breaking by water jet has some disadvantages, such as
low efficiency, large consumption of water resources, difficulty to
guarantee the size of cavitation, and so on. This is because there
are many constraints on the effective coal-breaking distance of high-pressure
water jet. For example, according to construction experience, submerged
jet is formed when there is water in the borehole, and the water resistance
greatly reduces the coal-breaking distance. When the consistent coefficient
of coal is lower, the punching effect is significant, and the punching
efficiency decreases rapidly with the increase of coal hardness. The
limitation of water jet coal breaking has become the main factor restricting
the efficient reaming and pressure relief of soft and low-permeability
coal seam. In order to solve this problem, a new technology of efficient
hole reaming and pressure relief needs to be applied to improve the
permeability of soft and low permeability.In order to solve
the problems of low efficiency of high-pressure
water jet in punching and hole reaming, difficulty to ensure the quality
of hole forming, and the failure of hole reaming when the coal becomes
hard, the coal seam reaming technology of mechanical reaming supplemented
by high-pressure water jet is developed, which makes use of the high
efficiency of mechanical coal breaking to make up for the shortcomings
of hydraulic coal breaking and retains the advantages of hydraulic
coal breaking. Compared with the original single high-pressure water
jet reaming, the efficiency and distance have been significantly improved.
Based on this, the integration of the drilling and mechanical reaming
process is simulated by a borehole-mechanical reaming model of coal
seam.
Computational Methods
Integration
of Drilling and Cavitation in
Coal Seam
Drilling-Cavitation-Integrated Equipment
The mechanical coal seam cavitation pressure relief device discharges
a certain amount of coal in the gas outburst coal body, forming a
hole around the borehole, providing space for the expansion deformation,
pressure relief, and displacement of the coal body. At the same time,
it causes the development of the coal fracture network, greatly increases
the permeability of coal seam, promotes efficient gas drainage, realizes
pressure relief and permeability enhancement of the gas outburst coal
body, and carries out regional gas control. The cavitation device
can realize the opening and closing of the mechanical reaming device
through pressure switching. When the mechanical knife is opened, the
coal seam is cut and cavitation is created. When the mechanical knife
is closed, the normal drilling operation is carried out. In the construction
process, the integrated drilling and reaming operation is realized
without exiting the drill pipe.The complete set of large-diameter
variable-diameter hole-making equipment for coal mine is suitable
for rapid drilling and mechanical hole making in coal and gas outburst
coal seams, so as to achieve the purpose of unloading, increasing
permeability, and increasing flow. It is widely used in the underground
(high) drainage roadway of coal mine and gas drainage hole and hole-making
hole in the construction of heading face of this coal seam. It is
an integrated complete set of equipment for the efficient gas treatment
of gas-bearing and low-permeability coal seams (as shown in Figure ). It mainly consists
of BLY800/2 mining crawler mud pump truck (Figure a), ZDY10000LPS mining crawler full hydraulic
tunnel drill (Figure b), KFS-50/11 mining vibrating screen solid–liquid separator,
high-pressure sealed drill pipe (Figure c), high-pressure rotary joint, drill bit
(Figure f), and variable-diameter
mechanical cavitation device (Figure d,e).
Figure 1
Reaming in coal seam: (a) floor rock roadway, (b) bedding
drilling,
(c) high-level suction roadway.
Figure 2
Main components
of drilling and cavitation-integrated equipment.
(a) Mining crawler mud pump truck (BLY800/2). (b) Main engine of crawler
full hydraulic tunnel drilling rig (ZDY10000LPS). (c) High-pressure
sealing drill pipe. (d) Adjustable-diameter mechanical hole-making
device (normal state). (e) Variable-diameter mechanical cavitation
device (working state). (f) Drill bit.
Reaming in coal seam: (a) floor rock roadway, (b) bedding
drilling,
(c) high-level suction roadway.Main components
of drilling and cavitation-integrated equipment.
(a) Mining crawler mud pump truck (BLY800/2). (b) Main engine of crawler
full hydraulic tunnel drilling rig (ZDY10000LPS). (c) High-pressure
sealing drill pipe. (d) Adjustable-diameter mechanical hole-making
device (normal state). (e) Variable-diameter mechanical cavitation
device (working state). (f) Drill bit.
Integrated Coal Breaking and Cavitation
Process of Drilling and Expanding
In order to achieve the
function of drilling and reaming integration, it is necessary to realize
the reaming without reaming in the process of drilling, and at the
same time, it is necessary to successfully exit the drill pipe after
reaming. (1) During drilling, the reaming tool is closed in the tool
slot on the device, as shown in Figure d. At this time, the cooling water flows from the drill
pipe through the drilling expansion-integrated equipment and flows
out of the drill bit at the front side. While cooling the drill bit,
the drill cuttings are discharged. (2) When reaming, the water supply
pressure is increased. When the water pressure reaches 10 MPa, the
low-pressure water flow channel is closed, the high-pressure water
only flows into the inner channel of the tool, and the tool is gradually
opened. As the coal around the cutter is cut and washed, the hole
increases until the cutter is fully opened (as shown in Figure e), and the rotating cutter
under the action of the propulsive force of the drill pipe cuts off
the coal and jointly breaks the coal and enlarges the hole with the
water jet. The effective reaming length of the open cutter is 200
mm, and the drilling hole can be directly expanded from about 100–500
mm during rotary coal breaking. The process is accomplished by varying
the water pressure, creating a combination of drilling, mechanical,
and hydraulic reaming.
Mechanics Theory of Borehole-Mechanical
Cavitation
in Coal Seam
Stress Analysis of the
Drill Bit
The drill bit is an integral drill bit composed
of a blade and cutting
teeth (Figure f).
Therefore, the stress of cutting teeth determines the stress of the
drill bit. Therefore, to analyze the force of the drill bit, the force
of cutting teeth should be analyzed first. Under the action of axial
thrust and torque provided by the drill bit, the drill bit rotates
to cut and break coal. According to the action principle of force,
the cutter is also subjected to coal reaction force, which is mainly
composed of coal resistance to the cutter P1 and friction resistance Ff between the
cutter and the coal surface. The reaction force of the cutter subjected
to coal can be decomposed into positive pressure Fn, tangential force Fc, and
lateral force Fl in 3D space, as shown
in Figure .
Figure 3
Stress diagram
of cutting teeth.
Stress diagram
of cutting teeth.The coal body corresponds
to the cutting resistance P1 of the cutting
teeth[14]In the formula, h is the cutting depth, b is the width of the cutting teeth, c is
the cohesive force, ϕ is the angle of internal friction, ψ
is the angle between the shear surface of the coal body and the direction
of shear, φ is the friction angle on the contact surface, and
γ is the rake angle of the cutting teeth.The reaction
force F1 of the coal shear
body on the cutting teeth corresponds to the cutting resistance P1 of the cutting teeth. Also, reaction force F1 can be expressed by the compressive strength
(σc) of coal and the cutting area (S). The friction force F2 distributes
on the wear surface under the blade, and the friction coefficient
between the wear surface and the coal body is μ, thenAssuming that the
drill bit has n cutting teeth,
the axial thrust Fn and cutting force Fc of the drill bit can be expressed as[15]Substitute eqs and 2a into 3a, thenThe forces F, Fc, and Fl of each
cutter are decomposed into the axial, tangential, and radial parts
of the drill bit, respectively, and the axial components Fv, tangential components Fc, and radial components Fr of each cutter
are obtained. The tangential component is the tangential force of
the cutter, and the axial component and radial component are, respectivelyIf the cutter has
a side angle β, the reaction of coal to
the cutter will subject the cutter to an additional radial force Frr, as shown in Figure .
Figure 4
Stress diagram of the
drill bit.
Stress diagram of the
drill bit.The tangential component force
and radial component force of the
cutting teeth are decomposed and summed to the x and y coordinate axes, and then, the resultant force of the
component force in the two coordinate directions is calculated, and
the lateral force and the action direction of the drill bit can be
obtainedAmong, F = ∑[Fc sin θc – (Fr + Frr)cos θci], F = ∑[Fc cos θc + (Fr + Frr)sin θci.Under the action of lateral unbalance force Fs, the drill bit side surface contacts the hole wall. According
to the action principle of force, the drill bit side surface receives
the reaction force FN and friction μFs of the hole wall. When the reaction force P0 on the coal block unit on the hole wall exceeds
its cohesive force and frictional resistance, instability collapse
occurs. The reaction force P0 of hole-wall
coal corresponds to the lateral force Fs. Therefore, the mechanical conditions of coal block instability
collapse under the action of drill bit cutting disturbance are as
follows[16]
Mechanical
Analysis of Mechanical Cavitation
When making a hole in the
borehole, the coal body is subjected
to a uniform initial stress P0 and the
initial hole radius is r0. When the reaming
pressure gradually increases from P, the borehole
diameter gradually increases from r0.
With the increasing force exerted by the cutter on the borehole wall,
the surrounding rock around the borehole begins to yield and destroy
due to the circumferential cutting stress of the cutter and develops
inward from the borehole wall. From the original elastic state to
the elastic–plastic state, the small hole radius r and the plastic zone radius R also continue to
expand. When the expansion pressure reaches a certain value, that
is, when the water pressure of the reaming device is stable, the expansion
pressure will remain unchanged and reach the maximum cavity radius. Figure shows the circumferential
stress model of hole making.
Figure 5
Circumferential stress model of hole making.
Circumferential stress model of hole making.The basic theoretical equation of mechanical cavitation
in coal
seam can be expressed asIn the formula, σr and σθ are radial stress and circumferential
stress, respectively.The elastic stress–strain relationship
isIn the
formula, E is the elastic modulus of the
coal and υ is the Poisson’s ratio of the coal.P is the pressure on the borehole wall when the
drilling pipe does not rotate and the reaming tool just touches the
borehole wall. At this time, the borehole wall is in an elastic state,
and the radial stress and circumferential stress areWhen
the tool rotates with the drill pipe, the tool begins to cut
on the drilling surface, and the coal on the drilling surface begins
to yield, reaching the yield limit, that is, failure. Suppose that
the radius at the elastic–plastic interface is R at a certain time and the critical plastic pressure acting radially
at this moment is pi, then the radial
and circumferential stresses at the elastic–plastic interface
are, respectivelyIn the process of reaming,
the push rod is gradually compressed
by the axial thrust; the piston pushes the gear and pushes the tool
out of the rod body. The force of the tool on the direction perpendicular
to the drilling wall gradually increases. When the push rod pushes
the tool out completely, the vertical stress of the drilling wall
reaches the maximum. At this time, the diameter of the largest reaming
section reaches the maximum.
Coal
Strength Failure Criteria
For coal under general force conditions,
the ultimate shear strength
of any force surface can usually be expressed by the Mohr–Coulomb
law[17−19]In the formula,
τn is the ultimate shear strength of the coal; σn is
the normal stress on the shear surface of the coal; and c is the cohesion of the coal.Equation is a
linear relationship on the σ–τ plane. In a more
general case, the σ–τ curve can be expressed as
a parabola, hyperbola, and other nonlinear curves, collectively referred
to as the molar intensity condition.The Mohr–Coulomb
condition is expressed by principal stress
σ1 and σ3 asThe general yield condition form isIf I1, I2, and θσ replace σ1 and σ3, thenIn
the formula, −π/6 ≤ θσ ≤
π/6.The average stress can be obtained from the three
principal stresses
σm, generalized shear stress τq,
and Cape lode θσ. Therefore, the Mohr–Coulomb
criterion can be expressed asEquation can be
expressed in another formIn the formula, , .Equations –11 consider the friction-type criterion of the friction
component, which can summarize the Tresca condition, Von-Mises condition,
generalized Von-Mises condition, and Drucker–Prager condition.[20,21] When φ = 0, it is the Tresca conditionIf θσ = 0, the Von-Mises
condition can be obtainedWhen θσ is constant, the yield function
is no longer related to J2, namely, the
generalized Von-Mises condition can be obtainedTensile damage
at θσ = −Π/6
can be obtainedTensile damage at
θσ = Π/6 can be
obtainedWhen , it is the Drucker–Prager failure
criterionWhen the plastic strain value of the
coal body reaches a certain
limit value, the coal body will begin to damage and then fail and
peel off from the coal body, that isIn the formula, ε̅fpl is the equivalent
plastic strain when the
coal fails completely and εp is the equivalent plastic
strain of coal.The rock “damage factor” is an
important parameter
in damage mechanics. Since its development, more than 10 damage factor
measurement methods have been formed. The most commonly used method
is to define the damage factor D through the change
of the elastic modulus of the material, which isIn the formula, E is the elastic modulus of the
undamaged coal; E′ is the macroscopic equivalent
elastic modulus of the fractured coal; ε is the strain; σ
is the stress; ε̅fpl is the critical plastic strain; D is the damage factor of the coal; and σ̅ is the extended
value on the dotted line in Figure .
Figure 6
Failure process of brittle materials.
Failure process of brittle materials.The stress–strain characteristic curve of the coal body
during the failure process is shown in Figure . The solid line in the figure is the failure
stress–strain curve, and the dashed line represents the corresponding
nondestructive stress–strain curve. σ and ε̅fpl are the critical yield stress and critical
plastic strain, respectively, when the coal body begins to fail, where
the coal body damage factor D = 0; ε̅fpl is the equivalent
plastic strain when the coal body fails completely, where the rock
damage factor D = 1. When the damage factor D on the finite element is 1, the material is regarded as
complete failure and spalling.As the borehole size of coal
seam is smaller than that of coal
seam, according to the theory of elastic–plastic mechanics,
the coal body around borehole is regarded as isotropic, homogeneous,
and continuous medium, and the deformation of the coal body is small
deformation. The deformation and crushing process of coal under the
action of the drill bit is mainly divided into an elastic deformation
stage, plastic deformation stage, and crushing stage. In the drilling
process, the drill bit mainly uses the bit rotation to cut broken
coal chips. According to the composition, structure, and stress characteristics
of coal, the equivalent plastic strain of coal is selected as the
judgment criterion of coal failure during drilling.
Mechanical Property Test of Coal
Coal
Sample Preparation
The test
coal samples were taken from No. 3 coal seam (high metamorphic anthracite)
in Xinjing Mine, Yangquan, with a burial depth of about 400 m and
a thickness of 0.75–4.80 m with an average thickness of 2.26
m. The coal body of Xinjing Mine belongs to the soft coal body (firmness
coefficient f is between 0.44 and 0.50), and it is
difficult to drill and prepare a standard-size raw coal sample of
a diameter of 50 mm and a height of 100 mm. Therefore, briquette coal
is used to test the mechanical and deformation characteristics of
the soft coal body. The preparation of briquette mainly includes the
following steps:Pulverize the bulk coal with a crusher
and then screen out coal particles with a diameter of less than 1
mm as the base material for sample preparation;Mix coal particles and a small amount
of distilled water in a clean container and stir them evenly, weigh
them, and put them into a special mold (as shown in Figure a). The inner diameter of the
mold is 50 mm;
Figure 7
Coal sample preparation:
(a) mould and (b) partial test coal samples.
The
axial pressure is loaded to 200
kN at a rate of 300 N/s, the pressure is stabilized for 3 h, and the
coal sample is removed from the mold;The briquette sample is put into a
vacuum drying oven and vacuum-dried at 60 °C for 2 h. The briquette
sample is sealed for later use. The partially prepared soft coal and
traditional briquette are shown in Figure b.Coal sample preparation:
(a) mould and (b) partial test coal samples.The processing accuracy of all coal samples is carried out in accordance
with the “Rock Test Method Standard” (GB50218-94), that
is, the unparallelism error of the two ends of the coal sample is
not more than 0.005 mm, and the unevenness error of the end surface
is not more than 0.02 mm. The diameter error along the height of the
coal sample is no more than 0.3 mm. The end face is perpendicular
to the axis of the samples, and the maximum deviation is not more
than 0.25°.
Test Results and Analysis
The mechanical
properties of coal under different confining pressures were tested
by the triaxial compression test system (as shown in Figure ), and the strength parameters
and deformation parameters such as uniaxial compressive strength,
triaxial compressive strength (peak stress of the coal sample under
each confining pressure), stress–strain curve, elastic modulus,
Poisson’s ratio, cohesion, and internal friction angle can
be obtained. After drilling, the stress state of coal changes and
forms a new secondary stress distribution, which is manifested as
tangential loading and radial unloading. It should be noted here that
the axial load described in the laboratory corresponds to the maximum
principal stress on site, which is the tangential stress for the coal
around the borehole; the confining pressure described in the laboratory
corresponds to the minimum principal stress on site, which is the
radial stress for the coal around the borehole. According to the evolution
of the actual stress state of the coal around the borehole, the mechanical
path of adding axial pressure (maximum principal stress) and unloading
confining pressure (minimum principal stress) is selected. The stress–strain
curves obtained from triaxial compression tests of coal samples under
different confining pressures are shown in Figure .
Figure 8
Triaxial compression test system.
Figure 9
Deviatoric stress–strain relationship curve of the coal
sample in the triaxial (uniaxial) compression test.
Triaxial compression test system.Deviatoric stress–strain relationship curve of the coal
sample in the triaxial (uniaxial) compression test.In order to facilitate the regression analysis of the test
data,
the Mohr–Coulomb failure criterion is first transformed into
the form of the main stress expressionΨ and ζ are the functions
of cohesion c and internal friction angle φ,
respectivelyThe least-square method is used to fit the test data of coal
sample
loading, and the slope (Ψ) and intercept (ζ) of the straight
line can be calculated. The cohesion and internal friction angle of
the coal sample under conventional loading and unloading confining
pressure before peak can be further deduced from the physical significance
of Ψ and ζ. The relationship between confining pressure
and axial pressure in Figure can be expressed as a linear relationship, with a correlation
coefficient of 0.9987. Furthermore, the cohesion and internal friction
angle of the coal sample can be calculated as shown in Table .
Figure 10
σ1−σ3
relation curve in the loading test.
Table 1
Mechanical Parameters of the Conventional
Triaxial Compression Test of Coal Samples
serial number
confining pressure/MPa
peak stress/MPa
ψ/MPa
ζ
cohesion/MPa
internal friction angle/deg
1
0
1.66
6.60
3.70
1.72
35.06
2
2
13.72
3
4
21.90
4
6
28.57
5
8
36.14
σ1−σ3
relation curve in the loading test.
Numerical Simulation and
Analysis of Drill
Bit Drilling in Coal Seam
Basic Assumptions
Drilling in coal
and rock mass by the drill bit is a very complex process. There are
many factors affecting drilling efficiency. The main factors directly
related to the drilling process are coal and rock state, drilling
depth, rotating speed, and so on. When using finite element analysis
software to simulate the drilling process, the following assumptions
shall be made:The hardness and strength of the coal
body are far inferior to the drill bit body. The drill bit is regarded
as a rigid body in the model, and the wear of the bit and cutting
teeth during drilling is not considered;It is assumed that during the drilling
process of the drill bit, the coal dust is removed sufficiently and
does not affect the drilling process of the drill bit; andThe drill bit has a good
hole trajectory,
the drill bit penetrates the coal body vertically, and the drill bit
does not shift during the drilling process.Ignore the frictional hindrance of
the hole wall and well wall to the rotation and advancement of the
drill pipe and the drill bit.
Boundary Conditions and Load Application
According
to the specific geological conditions of the drilling
site, the coal body is infinite, and the drilling process has little
impact on the surrounding coal body. The nonstress reflection total
displacement constraint is adopted at the bottom boundary of the coal
body model, while the nonstress reflection lateral displacement constraint
is adopted at the surrounding boundary. For the drill bit, it has
been assumed that the drill bit has a straight hole during the drilling
process, and the radial displacement constraint is applied to the
center line of the drill bit, which still has the freedom of rotation
around the Z axis and Z-direction
displacement. To simulate the process of drilling through the coal
of the drill bit, bit pressure, torque, drilling rate, and speed can
be applied to the drill bit, and pressure can also be applied to the
coal body to simulate the process of deep drilling. According to the
drill bit in Figure f, a drill bit model is established. The boundary conditions and
load application of the overall model are shown in Figure .
Figure 11
Boundary conditions
and load loading.
Boundary conditions
and load loading.In order to simulate
the destruction of coal and the discharge
process of coal chips in the drilling process, the birth and death
element is used in the part where the coal model may contact with
the drill bit. Under the bit pressure and rotation of the drill bit,
the cutting teeth press into the coal and produce a cutting effect
on the coal. When the element reaches the failure plastic strain,
it is considered to complete coal breaking and chip removal, kill
the element and associated nodes, and then automatically search the
contact surface and redefine the contact. In this way, the dynamic
simulation of rock breaking of the drill bit is completed.
Simulation of the Rock-Breaking Process
of the Drill Bit
The failure process of the coal body is
very complicated, so all failure criteria cannot be taken into account
in numerical simulation. Only one failure condition, namely, failure
strain, is used in the simulation of the drill bit breaking coal.
In the simulation of the rock-breaking process of the drill bit, the
rigid body model is adopted for the drill bit and cutter, and the
plastic follow-up strengthening model is adopted for the coal body.
The material parameters are shown in Table .
Table 2
Mechanical Parameters
of Cutting Teeth
and the Coal Body
name
ρ (kg/m3)
E (GPa)
μ
G (GPa)
K (GPa)
fs
fd
cutting teeth
8390
200
0.25
123
0.12
0.10
coal body
1430
0.23
0.30
0.21
3.43
0.18
0.15
Coal drilling by the drill bit is
a dynamic process, and the continuous
discharge of coal chips allows the drill bit to continue drilling.
In this numerical simulation, the life and death unit is used to simulate
coal crushing and chip removal. During the drilling process of the
drill bit, the drill bit exerts mechanical action on the surrounding
rock mass through the action of weight on bit and torque. When the
effective plastic strain of the element reaches 1.0%, it is considered
that the element has been destroyed. The element and the isolated
node are killed, so that they do not participate in the subsequent
analysis and calculation. When the unit is killed, the contact between
the drill bit and cutting teeth and the rock mass will be redefined,
and the contact unit and contact surface will be updated automatically.The numerical simulation has a relatively large degree of nonlinearity
and complexity. It includes not only the nonlinear characteristics
of the material constitutive but also the nonlinearity of the contact
problem between the drill bit and the coal body. At the same time,
the life and death element is used in the model, and the calculation
process is quite complicated. As a result, the data packet storage
space is also relatively large. Figure shows the failure of the drill bit and
the rock unit at different moments under loading with an angular velocity
of 4 r/s and a drilling speed of 2 cm/s. As cylindrical coal is symmetrical,
the failure form is represented by a quarter diagram. It can be seen
from Figure that
at 1 s, multiple units in the center of the coal body have failed,
and then at 5 s, the second layer unit in the center also began to
fail. Rock mass elements are failed and deleted layer by layer. With
the advancement and rotation of the drill bit, at 10 s, most of the
drill bit body has entered the coal body and formed a crushing pit
in the coal body, while at 15 s, the drill bit body has completed
entering the coal body and formed a final pore diameter in the coal
body. The drill bit has no cutting teeth in the center of the top
but three cutting teeth around it. The first failure unit on the coal
body is the central part of the coal body, not the unit initially
in contact with the coal body. Therefore, it can be inferred that
the failure of the unit in the central part of the coal body is not
caused by pressure but should be caused by shear.
Figure 12
Failure of drilling
coal seam and the coal body unit.
Failure of drilling
coal seam and the coal body unit.Figure shows
the Mises stress distribution of rock mass at different drilling times
under the loading of 10 kN weight and 180 N·m torsional torque.
As can be seen from Figure , the cutting teeth at the top of the drill bit are the first
to contact the coal body. However, the first unit to be damaged is
not the unit in contact with the cutting teeth, but the central axis
of the bit body. This is because the rock mass element on the central
axis of the bit body bears the largest force and plastic deformation
under the action of the cutting force of three cutting teeth pressure
and torsion, so it reaches failure first. Then, the unit in contact
with the top of the drill bit is damaged, and the cutting teeth begin
to enter the coal body. The contact area between the coal body and
the drill bit increases, and the friction resistance also increases.
At 1s, the cutting teeth press into the coal body and shear the rock
mass, forming a crushing pit on the surface of the coal body. With
the increase of drilling time, the depth of the drill bit entering
the coal body is also increasing. At 15 s, all the cutting teeth of
the bit body have entered the coal body, forming a small section of
drilling on the coal body. It can be seen from the Mises stress nephogram
in Figure that
when the drill bit just contacts the coal, the maximum stress occurs
in the center of the coal sample. With the increase of the drill bit
drilling depth, the maximum stress point shifts to the depth. When
the coal at the center of the sample is broken, the maximum stress
point moves around.
Figure 13
Mises stress distribution of coal at different times.
Mises stress distribution of coal at different times.Figure shows
the time history curve of the torsional torque on the drill bit under
the loading of angular velocity 4 r/s and linear velocity 2 cm/s.
As can be seen from Figure , the torsional moment on the drill bit generally increases
with the drilling time. When the drill bit just contacts the coal
body, the number of contact units between the coal body and the drill
bit is very small, and the hindered torsional moment of the drill
bit is also small. With the increase of drilling depth, the number
of contact units between the drill bit and the coal body increases
sharply, and the hindered torsional moment of the drill bit also increases
rapidly. At 10 s, most of the bit body has entered the coal body.
At this time, the torsional moment received by the drill bit has reached
the maximum. Thereafter, with the increase of drilling depth, the
torsional moment received by the drill bit will no longer increase.
Due to the unit damage, in the actual drilling process, it is the
formation of coal chips, and the torsional moment received by the
drill bit also fluctuates greatly.
Figure 14
Time history curve of torsional moment
on the drill bit.
Time history curve of torsional moment
on the drill bit.Figure shows
the variation curve of the vertical displacement of the drill bit
with the drilling time. Due to the full displacement constraint imposed
on the bottom boundary of the coal model, the vertical displacement
of the drill bit is the drilling depth. It can be seen from Figure that during the
initial contact period between the drill bit and the rock mass, the
cutting teeth on the drill bit do not break the coal but form friction
on the coal body and produce a shear effect on the coal body surface.
With the increase of vertical displacement, the friction between the
drill bit and the coal body increases, and the shear effect of the
cutting teeth on the coal body surface increases. When it reaches
a certain degree, the unit in the center of the coal body began to
destroy. In the process of bit drilling, the vertical displacement
of the drill bit does not increase gradually with time but the separation
of coal and drill bit from time to time, that is, “rebound”.
However, the overall trend of the vertical displacement of the bit
with time is to increase. At the drilling site, the bit will rebound,
and the sound of clicking is often heard in the drilling process,
which is generally caused by the hard coal body.
Figure 15
Variation curve of drilling
depth with time.
Variation curve of drilling
depth with time.Figure shows
the time curve of the maximum number of contact units between the
drill bit and the coal body under loading with an angular velocity
of 4 r/s and a drilling speed of 2 cm/s. It can be seen from Figure that the number
of contact units (contact area) between the drill bit and the coal
body is not constant, it changes with the drilling of the drill bit.
Due to the adoption of the life and death unit, when some of the units
are killed, the number of contact units between the drill bit and
the coal body will decrease, and when it comes into contact with the
coal body again, the number of contact units between the drill bit
and the coal body will increase. Initially, when the drill bit first
touches the coal body, there are only three units in contact. With
the increase of the drilling depth, the maximum number of contacts
between the drill bit and the coal body increases sharply. When the
bit basically enters the coal, the maximum contact number between
the drill bit and coal remains unchanged.
Figure 16
Number variation of
contact units between the drill bit and coal
with time.
Number variation of
contact units between the drill bit and coal
with time.
Results
and Discussion
Mechanical Hole Making
in Coal Seam Drilling
During mechanical cavitation, the water
pressure of the water injection
pump station is gradually increased to a high pressure state of 12
MPa. The mechanical knife arm is fully opened to cut coal and generate
holes. The integration of drilling and cavitation is realized through
the conversion of high and low pump pressure. The high- and low-pressure
conversion mechanical cavitation device uses high-pressure water to
open the mechanical tool handle to expand the hole and form a hole
with a diameter of 500 mm.
Numerical Simulation Results
and Analysis
of Mechanical Cavitation
During the simulation, the rod body
of the cavitation device was set as the rigid body, and a reference
point was established on the rod body. The rotational speed and axial
thrust were applied on the reference point, the rotational speed and
axial thrust were applied simultaneously, and boundary constraints
in x and y directions were applied on the surface of the block body.
ABAQUS finite element numerical simulation software was used to simulate
the mechanical characteristics of the coal seam caving section at
different times under confining pressure at 5 MPa. The model is shown
in Figure .
Figure 17
Drill pipe
cavitation device and coal body.
Drill pipe
cavitation device and coal body.An axial thrust of 1500 N is applied to the drilling machine in
the coal seam, and the stress state of the coal body during the reaming
process is shown in Figure . In the initial stage of cavitation, the cavitation tool
is gradually opened (i.e., the diameter of the cavitation is gradually
increased), until the cavitation tool is fully opened, the stress
state shown by the coal body also has a certain difference, and as
the diameter of the cavitation increases, the maximum stress of coal
also gradually increased.
Figure 18
Strain diagram of the cave-making coal body
at different times.
Strain diagram of the cave-making coal body
at different times.Figure is a
cloud diagram of the cross-sectional stress distribution of coal at
different times during the process of cave-making. It can be seen
from Figure that
when the coal seam is cut by the cutter to reach the strength limit,
it will be destroyed. The elimination of the mesh will be displayed
in the software. The hexahedral mesh with higher calculation accuracy
is used in the model. The quality is good, and the distribution is
even. After the calculation is completed, how much the damage of the
hexahedral mesh is eliminated was observed , and the software’s
own query function to reflect the hole-forming effect of the cavity
is used, which can be used as a reference to a certain extent. When
there is no reaming (t = 0), the coal seam is drilled
under confining pressure and local stress is generated. When t = 2 s, the contact part between the reaming tool and coal
has produced a large stress. The maximum stress is at the contact
point between the coal body and the reaming tool tip. The stress distribution
is centered on the contact point and decreases layer by layer. When t = 5 s and t = 10 s, with the feed of
the reaming tool, more and more parts are involved in cutting, and
the stress value increases gradually with the drilling depth. When
the maximum stress occurs, the maximum stress value tends to be stable
until the cutting is completed. At t = 15 s, the
cutting is basically completed, and some stress will occur due to
the influence of coal properties.
Figure 19
Stress profile of borehole in the cave-making
coal body at different
times.
Stress profile of borehole in the cave-making
coal body at different
times.
Analysis
of Contact Cutting between the Reaming
Tool and Hole Wall
When the drill pipe rotates, the drill
pipe may collide with the hole wall at any axis position, accompanied
by energy loss, friction resistance, and resistance moment, which
changes the motion state of the drill pipe and drill bit. Figure shows the contact
area between the drill pipe and hole wall during drilling.
Figure 20
Contact area
between the reaming tool and hole wall.
Contact area
between the reaming tool and hole wall.As can be seen from Figure , the drill pipe starts to contact the hole wall at
0.71 s, and the contact area is 0.45 mm2. At 9.83 s, the
contact area between the drill pipe and the hole wall reached a maximum
of 141.54 mm2 and then tended to be stable, but the contact
between the drill pipe and the hole wall is random and had no obvious
regularity.When the drill pipe rotates, the reaming tool collides
with the
hole wall at the reaming position of the axis, accompanied by energy
loss, friction resistance, and resistance moment, which changes the
motion state of the drill pipe and drill bit. The X direction, Y direction, and normal contact force
between the reaming tool and the hole wall are used to describe the
contact process between the reaming tool and the hole wall in the
drilling process. Figure shows a graph of the contact force between the reaming tool
and the hole wall during drilling.
Figure 21
Contact force between the reaming tool
and hole wall. (a) Contact
force in the X direction. (b) Contact force in the Y direction. (c) Normal contact force.
Contact force between the reaming tool
and hole wall. (a) Contact
force in the X direction. (b) Contact force in the Y direction. (c) Normal contact force.As can be seen from Figure , the X and Y directions
of the contact force between the reaming tool and the hole wall have
changed. The reaming tool does not always maintain contact with the
hole wall but constantly changes the contact point. After the reaming
tool contacts the hole wall, the normal contact force is 351.76 N
and the X direction contact force is 328.29 N. The X direction is negative, indicating that the reaming tool
is in contact with the other side of the hole wall. With the increase
of time, the contact force begins to increase and basically tends
to be stable. This is because with the gradual opening of the reaming
tool, the area of the reaming tool in contact with coal increases,
and the cutting force also increases accordingly. The X and Y direction
contact force is gradually increasing and then tends to a certain
stable state; at this time the reaming tool has been fully opened.
Conclusions
According to the characteristics
of poor permeability and low extraction
efficiency in soft coal seam, the integrated pressure relief and permeability
enhancement technology of drilling and mechanical cavitation is proposed
to achieve the purpose of permeability enhancement through pressure
relief. By testing the mechanical properties of the coal body, the
mechanical parameters of the coal body are obtained, the physical
model of the drill bit drilling into the coal body and the reaming
tool breaking the coal is established, and the coal-drilling tool
mechanical characteristics of the drill bit drilling and reaming process
are numerically analyzed. The conclusions are as follows:Drilling
through coal with the drill
bit is a dynamic process. When the drill bit just touches the coal,
the maximum stress occurs at the center of the coal sample. With the
increase of drilling depth, the maximum stress point shifts to the
depth. When the coal is broken in the center of the sample, the maximum
stress point moves around.With the increase of drilling depth,
the torsional torque on the drill bit increases, and the maximum contact
number between the drill bit and coal increases sharply. When the
bit body basically enters the coal, the maximum contact number between
the drill bit and coal body remains unchanged.In the initial stage of cavitation,
the cavitation tool gradually opens, and more and more coal parts
are involved in cutting (the contact surface of the reaming tool is
bigger and bigger). The stress value of coal increases gradually with
the reaming time, and when the maximum stress occurs, the maximum
stress value tends to be stable.When the drill pipe rotates, the reaming
tool colliders with the hole wall at the reaming position, but the
reaming tool does not always keep the contact with the hole wall but
constantly changes the contact point. As the reaming tool gradually
opens, the cutting force increases correspondingly, and then, when
the reaming tool is fully opened, the cutting force tends to a certain
stable state.