CN109460612A - Drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process - Google Patents
Drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process Download PDFInfo
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Abstract
Drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process, includes the following steps, makes coal petrography cutting Model, and break line AB is set in cutting Model；Load on break line AB is obtained according to cutting Model to be distributed；It establishes under state of limit equilibrium, the mechanical balance equation established on break line AB: deriving the stress condition when rock failure mechanism of rock according to Mohr's circle of stress envelope；Calculating one week penetraction depth of bit iszWhen, solve boring mud average grain diameter Xi.Prediction technique scientific in principle of the invention, step is clear, and convenient for operation, the data that Binding experiment obtains keep prediction result more accurate, theoretical reference is provided for drilling tool structure and the design of deslagging kinetic parameter, is of great significance to the expulsion efficiency for improving drilling cuttings in coal petrography cutting process.
Description
Technical field
The invention belongs to drilling in coal and rock technical fields, and in particular to drilling cuttings average grain diameter prediction in a kind of coal petrography cutting process
Method.
Background technique
Coal petrography cutting comes across mine, in civil engineering extensively, is essential during supporting, explosion, mining etc.
Important procedure.Drilling is the important behaviour form of coal petrography cutting in coal and rock, and according to requirement of engineering, drilling depth can not yet
Together.In the construction such as mine support, rock blasting, generally requires to creep into the drilling of several meters to tens meters not even depth, bore at this time
The discharge of the produced landwaste in hole is then the key factor for influencing drilling efficiency.
Currently, both at home and abroad mainly there is Slagoff method in drilling construction: cutting pick-up with high pressure water, high-pressure blast deslagging and mechanical spiral row
Slag.But no matter which kind of deslagging mode, the structure and deslagging kinetic parameter of drilling tool, such as the size of drilling rod centre bore, helical blade
Height and inclination angle, hydraulic pressure or the size of wind pressure etc. are to determine the key factor of deslagging effect, and boring mud partial size is then in drilling process
It is the important evidence of the determining above parameter.So far, the determination of above each parameter is more to rely on experience, and often neglects
The fact that boring mud size would also vary from when having omited drilling different rocks, so that drilling tool is easy to cause to design or deslagging power
Unreasonable, deslagging effect is undesirable.But in engineering practice, the generated boring mud that drills sieve and determines the meeting again of its partial size
Waste a large amount of manpowers and material resources.Therefore, a kind of prediction technique of drilling cuttings average grain diameter in coal petrography cutting process is found, for drilling tool
Structure and the design of deslagging kinetic parameter provide theoretical reference, have to the expulsion efficiency for improving drilling cuttings in coal petrography cutting process important
Meaning.
Summary of the invention
For the present invention in order to solve shortcoming in the prior art, providing a kind of is that drilling tool structure and deslagging kinetic parameter are set
Meter provides drilling cuttings average grain diameter prediction technique in the coal petrography cutting process of theoretical reference.
In order to solve the above technical problems, the present invention adopts the following technical scheme: drilling cuttings is average in a kind of coal petrography cutting process
Partial size prediction technique, includes the following steps,
1) coal petrography cutting Model is made, break line AB is set in cutting Model；
2) load on break line AB is obtained according to cutting Model to be distributed:
Wherein F0For the constant determined by equilibrium equation, zOften for the depth of drill bit wing incision, the i.e. rotation of drill bit wing
All penetraction depths, angle of the Ψ between cutting direction and break line AB, λ are the distance from any point on A point to AB break line,nFor stress distribution coefficient, with tool orthogonal rakeβIt is related；
3) it establishes under state of limit equilibrium, establishes the mechanical balance equation on break line AB:
Equation solution can be obtained
The formula is substituting to formula obtained by step 2, λ=0 at A point, i.e. F on AB line can be obtainedLMaximum value expression formula
；
4) FLIn the component direct stress σ of break line0And shearing stress τ0It is represented by
In formula: β is away drill cuttings anterior angle；ΦjFor cutting force F1With the angle between cutter lip surface normal；
5) stress condition when rock failure mechanism of rock is derived according to Mohr's circle of stress envelope, is shown below:
In formula: direct stress and shearing stress when σ, τ are rock rupture, on AB line； QuFor rock uniaxiality strength；Φi—
Internal friction angle of rock；
6) when cutting broken rock, break line is most ruptured prior to A point, i.e. σ0、τ0Meet the stress condition in formula step 4), by its generation
Entering step 5) formula can obtain
In above formula, F can be regarded as1For the function changed with independent variable Ψ, enable, can obtain
Ψ expression formula is substituting to formula F1Cutting force F on unit tread can be obtained in expression formula1Expression formula
Wherein, wherein ω, ν respectively indicate drill bit drilling speed and drilling speed, stress distribution coefficientnAnd angle ΦjBy experience
Formula is represented byAnd, wherein a, b, c, d are constant, and the above parameter is substituted into and is arranged
?
7) according to principle of conservation of energy it is found that cutting forceFThe table of boring mud particle when the overwhelming majority of doing work is converted into landwaste formation
Face energy, then have
EFIt is done work by cutting force；EfFor surface energy possessed by boring mud particle；
For the ease of analysis, it is assumed that be by bore diameterr, bore depth behDrilling expansion, due to bit cutting direction and horizontal
Angle is consistent with cutting force direction, then it is believed that rock is divided into several plagioclases by drill bit and is in the drilling volumel,, the band for a height of z that hangs down, each band represents the volume of one week institute's fractured rock of bit；
8) calculating one week penetraction depth of bit iszWhen, the wing width for rock cutting isp, drill bit blade cutting forceF
Then cut single band rock, cutting forceFActing is
；
9) cutting forceFDone total work is
WhereinrIt is for radius of clean-up,hDrilling depth,sFor band number；
10) boring mud average grain diameter X is solvedi
If boring mud is that side length is XiCube, then its surface area, volume, then its specific surface area, fractured rock total volume is, then creeping into radius isr, bore the drilling that depth is h and generate the total of boring mud
Surface area is.It surface possessed by known unit area boring mud particle can are as follows:
K in formulacFor rock fracture toughness,EFor elastic modulus of rock.
Then boring mud particle, which does the total surface having, to be
Above formula solution can be obtained
。
Rock uniaxiality strength Q in the step 6)u, constant a, b, c, d, drill speed and drilling speed ω, ν difference
It can be measured by experiment.
The fracture toughness k of rock in the step 10)cAnd elastic modulus E can be measured by experiment.
By adopting the above technical scheme, prediction technique scientific in principle of the invention, step is clear, convenient for operation, Binding experiment
The data obtained keep prediction result more accurate, theoretical reference are provided for drilling tool structure and the design of deslagging kinetic parameter, to raising
The expulsion efficiency of drilling cuttings is of great significance in coal petrography cutting process.
Detailed description of the invention
Fig. 1 is bit cutting mechanical models for rocks of the present invention；
Fig. 2 is bit cutting broken rock plane outspread drawing of the present invention；
Fig. 3 is theoretical calculation average grain diameter preliminary experiment comparison diagram of the present invention.
Specific embodiment
A specific embodiment of the invention is described in further details below in conjunction with attached drawing.
As shown in Fig. 1 ~ 3, drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process, comprising the following steps:
1) coal petrography cutting Model is made, break line AB is set in cutting Model；
2) load on break line AB is obtained according to cutting Model to be distributed:
Wherein F0For the constant determined by equilibrium equation, zFor the depth (penetraction depth weekly) of drill bit wing incision, Ψ
For the angle between cutting direction and break line AB, λ is the distance from any point on A point to AB break line,nFor stress distribution system
Number, with tool orthogonal rakeβRelated
3) it establishes under state of limit equilibrium, establishes the mechanical balance equation on break line AB:
Equation solution can be obtained
The formula is substituting to formula obtained by step 1), can be obtained at λ=0(A point), i.e. F on AB lineLMaximum value expression formula
4) FLIn the component direct stress σ of break line0And shearing stress τ0It is represented by
In formula: β is away drill cuttings anterior angle； ΦjFor cutting force F1With the angle between cutter lip surface normal.
5) stress condition when rock failure mechanism of rock is derived according to Mohr's circle of stress envelope, is shown below.
In formula: σ, τ are direct stress and shearing stress on rock rupture AB line； QuFor rock uniaxiality strength； Φi—
Internal friction angle of rock.
6) when cutting broken rock, break line is most ruptured prior to A point, i.e. σ0、τ0Meet the stress condition in formula step 4), it will
It substitutes into step 4) formula and can obtain
In above formula, F can be regarded as1For the function changed with independent variable Ψ, enable, can obtain
Ψ expression formula is substituting to formula F1Cutting force F on unit tread can be obtained in expression formula1Expression formula
Wherein, wherein ω, ν respectively indicate drill bit drilling speed and drilling speed, stress distribution coefficientnAnd angle ΦjBy experience
Formula is represented byAnd, wherein a, b, c, d are constant, and the above parameter is substituted into and is arranged
?
；
7) according to principle of conservation of energy it is found that cutting forceFThe done work overwhelming majority is converted into landwaste and forms surface energy, then has
EFIt is done work by cutting force； EfFor surface energy possessed by boring mud particle；
For the ease of analysis, as shown in Figure 2, it will be assumed that be by bore diameterr, boring depth ishDrilling expansion, due to bit cutting
The angle of direction and level is consistent with cutting force direction, then it is believed that rock by drill bit is divided into several plagioclases in the drilling volume
Forl,, the band for a height of z that hangs down, each band represents the volume of 1 week institute's fractured rock of bit
8) calculating one week penetraction depth of bit iszWhen, the wing width for rock cutting isp, drill bit blade cutting forceF
Then cut single band rock, cutting forceFActing is
9) cutting forceFDone total work is
WhereinrIt is for radius of clean-up,hDrilling depth,sFor band number.
10) boring mud average grain diameter X is solvedi
If boring mud is that side length is XiCube, then its surface area, volume, then its specific surface area, fractured rock total volume is, then creeping into radius isr, boring depth is that the drilling of h generates the summary table of boring mud
Area is.Surface possessed by known unit area boring mud particle can be
K in formulacFor rock fracture toughness,EFor elastic modulus of rock.
Then boring mud particle, which does the total surface having, to be
Above formula solution can be obtained
Rock uniaxiality strength Q in step 6)u, constant a, b, c, d, drill speed and drilling speed ω, ν respectively can be by testing
It measures.
The fracture toughness k of rock in step 10)cAnd elastic modulus E can be measured by experiment.
It is verified below with example:
A, two groups of drilling tests of B, rate of penetration have been carried out to limestoneVIt is 0.002m/s, revolving speedωIt is 23.3r/min,
Drill bit inclination angleβIt is 0 °, measures elastic modulus of rock through experimentEFor 60.63GPa, fracture toughness kcFor 0.51MPa, uniaxial compressive
Intensity QuFor 137.63MPa, n=11.3,Φ j =22.5 °, so that obtaining boring mud theory average grain diameter is 0.34mm.By to institute
Boring mud is collected according to 0.1 ~ 0.28mm, 0.28 ~ 0.5mm, 0.5mm ~ 1.5mm, 1.5mm ~ 2.5mm, the partial size of > 2.5mm be grouped into
Row screening, the boring mud partial size of A, B group output are distributed mainly within the scope of 0.1mm ~ 0.5mm, are the 56.2% of boring mud total yield output,
And the boring mud acquired is averaged average grain diameter calculated value as 0.34mm, is located within the scope of 0.1mm ~ 0.5mm, and therefore, the present invention
Precision of prediction with higher.
The present embodiment not makes any form of restriction shape of the invention, material, structure etc., all according to this hair
Bright technical spirit any simple modification, equivalent change and modification to the above embodiments, belong to the technology of the present invention side
The protection scope of case.
Claims (3)
1. drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process, it is characterised in that: include the following steps,
1) coal petrography cutting Model is made, break line AB is set in cutting Model；
2) load on break line AB is obtained according to cutting Model to be distributed:
Wherein F0 is the constant determined by equilibrium equation, zOften for the depth of drill bit wing incision, the i.e. rotation of drill bit wing
All penetraction depths,ΨFor the angle between cutting direction and break line AB, λ is the distance from any point on A point to AB break line,nFor stress distribution coefficient, with tool orthogonal rakeβIt is related；
3) it establishes under state of limit equilibrium, establishes the mechanical balance equation on break line AB:
Equation solution can be obtained
The formula is substituting to formula obtained by step 2, λ=0 at A point, i.e. F on AB line can be obtainedLMaximum value expression formula
；
4) FLIn the component direct stress σ of break line0And shearing stress τ0It is represented by
In formula: β is away drill cuttings anterior angle； ΦjFor cutting force F1With the angle between cutter lip surface normal；
5) stress condition when rock failure mechanism of rock is derived according to Mohr's circle of stress envelope, is shown below:
In formula: direct stress and shearing stress when σ, τ are rock rupture, on AB line； QuFor rock uniaxiality strength；Φi- rock
Stone internal friction angle；
6) when cutting broken rock, break line is most ruptured prior to A point, i.e. σ0、τ0Meet the stress condition in formula step 4), by its generation
Entering step 5) formula can obtain
In above formula, F can be regarded as1For with independent variableΨThe function of variation enables, can obtain
It willΨExpression formula is substituting to formula F1Cutting force F on unit tread can be obtained in expression formula1Expression formula
Wherein, wherein ω, ν respectively indicate drill bit drilling speed and drilling speed, stress distribution coefficientnAnd angle ΦjBy experience public affairs
Formula is represented byAnd, wherein a, b, c, d are constant, and the substitution of the above parameter is arranged
7) according to principle of conservation of energy it is found that cutting forceFThe table of boring mud particle when the overwhelming majority of doing work is converted into landwaste formation
Face energy, then have
EFIt is done work by cutting force；EfFor surface energy possessed by boring mud particle；
For the ease of analysis, it is assumed that be by bore diameterr, bore depth behDrilling expansion, due to bit cutting direction and horizontal
Angle is consistent with cutting force direction, then it is believed that rock is divided into several plagioclases by drill bit and is in the drilling volumel,, the band for a height of z that hangs down, each band represents the volume of one week institute's fractured rock of bit；
8) calculating one week penetraction depth of bit iszWhen, the wing width for rock cutting isp, drill bit blade cutting forceF
Then cut single band rock, cutting forceFActing is
；
9) cutting forceFDone total work is
WhereinrIt is for radius of clean-up,hDrilling depth,sFor band number；
10) boring mud average grain diameter X is solvedi
If boring mud is that side length is XiCube, then its surface area, volume, then its specific surface area, fractured rock total volume is, then creeping into radius isr, boring depth is that the drilling of h generates the summary table of boring mud
Area is；
It surface possessed by known unit area boring mud particle can are as follows:
K in formulacFor rock fracture toughness,EFor elastic modulus of rock；
Then boring mud particle, which does the total surface having, to be
Above formula solution can be obtained
。
2. drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process according to claim 1, it is characterised in that: institute
Rock uniaxiality strength Q in the step 6) statedu, constant a, b, c, d, drill speed and drilling speed ω, ν respectively can be by testing
It measures.
3. drilling cuttings average grain diameter prediction technique in a kind of coal petrography cutting process according to claim 1 or 2, feature exist
In: the fracture toughness k of rock in the step 10)cAnd elasticity modulusE It can be measured by experiment.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN112282732A (en) * | 2020-10-29 | 2021-01-29 | 中煤科工集团重庆研究院有限公司 | Method for measuring occurrence of coal bed gas by using while-drilling gas parameters |
| CN113111497A (en) * | 2021-03-25 | 2021-07-13 | 郑州大学 | TBM rock breaking efficiency evaluation method based on rock ballast particle size distribution rule |
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| CA2009654A1 (en) * | 1989-08-31 | 1991-02-28 | Geir Hareland | Method of predicting drill bit performance |
| US5730234A (en) * | 1995-05-15 | 1998-03-24 | Institut Francais Du Petrole | Method for determining drilling conditions comprising a drilling model |
| CN103556940A (en) * | 2013-11-15 | 2014-02-05 | 河南理工大学 | Dual-channel porous turbulence pressure relief drilling tool for soft coal rock drilling, and construction method of drilling tool |
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2018
- 2018-11-12 CN CN201811340847.9A patent/CN109460612B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CA2009654A1 (en) * | 1989-08-31 | 1991-02-28 | Geir Hareland | Method of predicting drill bit performance |
| US5730234A (en) * | 1995-05-15 | 1998-03-24 | Institut Francais Du Petrole | Method for determining drilling conditions comprising a drilling model |
| CN103556940A (en) * | 2013-11-15 | 2014-02-05 | 河南理工大学 | Dual-channel porous turbulence pressure relief drilling tool for soft coal rock drilling, and construction method of drilling tool |
Non-Patent Citations (2)
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112282732A (en) * | 2020-10-29 | 2021-01-29 | 中煤科工集团重庆研究院有限公司 | Method for measuring occurrence of coal bed gas by using while-drilling gas parameters |
| CN113111497A (en) * | 2021-03-25 | 2021-07-13 | 郑州大学 | TBM rock breaking efficiency evaluation method based on rock ballast particle size distribution rule |
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