CN102436537A - Particle size distribution-based coal dropping gas emission amount prediction method - Google Patents

Particle size distribution-based coal dropping gas emission amount prediction method Download PDF

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CN102436537A
CN102436537A CN2011102197608A CN201110219760A CN102436537A CN 102436537 A CN102436537 A CN 102436537A CN 2011102197608 A CN2011102197608 A CN 2011102197608A CN 201110219760 A CN201110219760 A CN 201110219760A CN 102436537 A CN102436537 A CN 102436537A
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particle size
gas
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CN102436537B (en
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王强
刘海滨
张玉东
李安洪
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Shanxi Luan Environmental Energy Development Co Ltd
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Abstract

The invention discloses a method for predicting the emission amount of coal dropping gas based on particle size distribution, which comprises the steps of screening coal samples by using sieves with different apertures, weighing the mass of coal particles with various particle sizes, calculating the ratio of the mass of the coal particles with various particle sizes to the total mass of a sample and distribution function values corresponding to various particle sizes, and calculating the parameters of a distribution function by using a dichotomy so as to construct a diameter distribution function and distribution density of the coal particles; taking two different exposure times for coal samples with the same particle size, testing the corresponding residual gas content, determining one parameter in a gas desorption intensity relational expression, then taking different exposure times for the coal samples with the two particle sizes, and determining the other parameter in the gas desorption intensity relational expression, thereby constructing the relational expression of the gas residual amount and the gas desorption intensity in the coal samples; and finally, calculating the gas desorption amount caused by coal breakage by using a double integral expression of the coal breakage mass in unit time, the coal particle diameter distribution density function and the gas desorption intensity on time and diameter, and taking the gas desorption amount as the prediction of the gas emission amount.

Description

Particle size distribution-based coal dropping gas emission amount prediction method
Technical Field
The invention belongs to the technical field of coal mine safety, and relates to a prediction method of gas emission quantity, in particular to a prediction method of gas emission quantity caused by coal breakage.
Background
In the coal mining process, the collapse of the coal blocks makes the gas in the adsorption state into a free state, and the process is called desorption. The gas emission quantity caused by coal breakage accounts for most of the total gas emission quantity, along with the increase of the mining depth and the mining intensity, the coal breakage quantity and the gas emission quantity in unit time are continuously increased, the gas emission quantity caused by coal breakage is accurately predicted, and the method plays an important role in the design of a ventilation system and the safety production of a coal mine.
At present, the gas emission quantity of a coal face is predicted mainly by means of gas concentration and air quantity provided by a ventilation system. For example, a mine statistical method (statistical predicted method of mine gas) is a method for predicting a new well or a new level of gas emission quantity according to the rule that the mine gas emission quantity changes along with the mining depth according to the statistical analysis of the actual gas emission data of the mine or adjacent mines; the source-divided prediction method (predicted method by differential gas source) is a method for obtaining the gas emission quantity of a mine on the basis of predicting gas emission sources respectively by dividing the gas sources which emit to the mine according to different time and places.
These methods cannot specify the ratio of the gas emission amount of each component source, cannot specify the instantaneous value of the gas emission amount, and do not have strong pertinence.
Disclosure of Invention
The invention aims to provide a method for predicting the gas emission amount of coal breakage based on particle size distribution, which provides scientific basis for the design of a ventilation system and the prevention and control of gas disasters in a mining area.
The method for predicting the gas emission amount of the coal breakage utilizes data of three aspects to predict the gas emission amount of the coal breakage, wherein the data comprises a function of particle size distribution (density) in the coal breakage, a relation between gas desorption strength and the diameter of coal particles, and the data of three aspects is the coal breakage quality in unit time; the provided calculation formula of the desorption amount of the coal breakage gas is based on the particle size distribution of the coal breakage, and the diameter of a sample for a distribution function is smaller than
Figure 156990DEST_PATH_IMAGE001
Is plotted against the total mass of the sample.
The procedure of the specific prediction method of the present invention is as follows.
1. Construction of coal particle diameter distribution Density function
The first step is as follows: sampling
Taking mass downhole
Figure 828143DEST_PATH_IMAGE002
Taking about 50kg of coal sample, and paying attention to the fact that the particle distribution of various particle sizes in the sample conforms to the actual situation as much as possible;
the second step is that: sieving and weighing
Screening coal samples by using sieves with the apertures of 25mm, 20mm, 15mm, 10mm, 8mm, 6mm, 5mm, 4mm, 3mm, 2mm, 1mm, 0.5mm and 0.2mm respectively, and weighing the mass of coal particles in each particle size interval;
the third step: calculating a value of a particle size distribution function
The measurement results of the second step are filled in table 1,
Figure 736056DEST_PATH_IMAGE003
then calculating the particle size distribution functionValue of each point, particle size distribution function
Figure 527743DEST_PATH_IMAGE005
It has the following properties:
Figure 686192DEST_PATH_IMAGE006
，
the results of the calculations are filled in table 2,
Figure 397796DEST_PATH_IMAGE007
the fourth step: determining distribution parameters using dichotomy
Figure 341612DEST_PATH_IMAGE008
The coal particle size is considered to be obeyedDistribution, distribution function thereof
Figure 860635DEST_PATH_IMAGE010
Defined as a particle size of less than
Figure 188980DEST_PATH_IMAGE011
The ratio of the mass of the coal particles to the total mass of the sample, namely the particle size distribution function and the distribution density (function), is respectively as follows:
Figure 174253DEST_PATH_IMAGE012
（1）
and
（2）
determining distribution parameters using dichotomy
Figure 351474DEST_PATH_IMAGE014
The specific method comprises the following steps:
empirically determining the average diameter of the coal particles
Figure 217930DEST_PATH_IMAGE015
Is taken as a value interval
Figure 57710DEST_PATH_IMAGE016
And calculating a functional:
Figure 600686DEST_PATH_IMAGE017
（3）
respectively correspond to
Figure 158707DEST_PATH_IMAGE018
And
Figure 563274DEST_PATH_IMAGE019
the value of (c):
Figure 585457DEST_PATH_IMAGE020
get
Figure 829805DEST_PATH_IMAGE022
Calculating functionalCorrespond to
Figure 101703DEST_PATH_IMAGE024
Value taking
Figure 924166DEST_PATH_IMAGE025
If, ifThen get
Figure 203148DEST_PATH_IMAGE027
，
Figure 934344DEST_PATH_IMAGE028
(ii) a If it is not
Figure 752476DEST_PATH_IMAGE029
Then get
Figure 506805DEST_PATH_IMAGE030
，；
Get again
Figure 95098DEST_PATH_IMAGE032
Calculating functional
Figure 72413DEST_PATH_IMAGE023
Correspond toValue taking
Figure 917058DEST_PATH_IMAGE034
If, if
Figure 294950DEST_PATH_IMAGE026
Then get
Figure 708745DEST_PATH_IMAGE035
，
Figure 172087DEST_PATH_IMAGE028
(ii) a If it is not
Figure 578798DEST_PATH_IMAGE029
Then get
Figure 624245DEST_PATH_IMAGE036
，
Figure 395892DEST_PATH_IMAGE031
；
Repeating the above steps to obtain a sequence
Figure 408847DEST_PATH_IMAGE037
If, if
Figure 291353DEST_PATH_IMAGE038
Then it can be considered as
Figure 456886DEST_PATH_IMAGE039
Corresponding functional
Figure 399434DEST_PATH_IMAGE023
Taking the minimum value, willAs
Figure 585882DEST_PATH_IMAGE041
So as to obtain a coal particle diameter distribution function
Figure 605922DEST_PATH_IMAGE010
And distribution density function
Figure 719371DEST_PATH_IMAGE042
。
2. Determination of coal-dropping gas desorption strength
Has an average particle diameter of
Figure 706919DEST_PATH_IMAGE011
The residual gas content in the coal per unit mass is:
Figure 744276DEST_PATH_IMAGE043
（4）
wherein,
Figure 71352DEST_PATH_IMAGE044
the original gas content of the coal;
Figure 152441DEST_PATH_IMAGE011
is the diameter of the coal briquette;
Figure 564967DEST_PATH_IMAGE045
exposure time for coal breakage;
Figure 406016DEST_PATH_IMAGE046
is a constant related to characteristic parameters such as coal breakage geometry and coal quality,
Figure 587598DEST_PATH_IMAGE047
is a constant with a time dimension set for eliminating singularity, and is usually takenThus, the average particle diameter is
Figure 739411DEST_PATH_IMAGE049
The gas desorption intensity per unit mass of coal of (a) is:
Figure 118571DEST_PATH_IMAGE050
（5）
taking into account that the coal is continuously collapsing, i.e.
Figure 482556DEST_PATH_IMAGE051
To
Figure 108709DEST_PATH_IMAGE052
All have coal caving, at the moment
Figure 43299DEST_PATH_IMAGE053
Particle size of
Figure 413100DEST_PATH_IMAGE011
The gas desorption amount per unit coal can be constructed based on the formula (5), that is:
Figure 631592DEST_PATH_IMAGE054
（6）
the first step is as follows: determining coefficients
For the same particle size
Figure 850532DEST_PATH_IMAGE056
Taking two different time samples
Figure 820762DEST_PATH_IMAGE057
And
Figure 831443DEST_PATH_IMAGE058
separately determining the residual gas content
Figure 612448DEST_PATH_IMAGE059
And
Figure 708580DEST_PATH_IMAGE060
the application formula (4) is as follows:
Figure 482501DEST_PATH_IMAGE061
（7）
and
Figure 160738DEST_PATH_IMAGE062
（8）
from formulae (7) and (8), we obtain:
Figure 299596DEST_PATH_IMAGE063
（9）
the second step is that: determining parameters
Figure 945341DEST_PATH_IMAGE064
For particle diameters of respectively
Figure 460636DEST_PATH_IMAGE065
And
Figure 993379DEST_PATH_IMAGE066
the exposure time is measured asResidual gas content of
Figure 436179DEST_PATH_IMAGE067
Andthe application formula (4) is as follows:
Figure 142415DEST_PATH_IMAGE069
（10）
and
Figure 685392DEST_PATH_IMAGE070
（11）
from formulas (10) and (11), there are obtained:
Figure 243412DEST_PATH_IMAGE071
（12）
after the parameters have been determined
Figure 647980DEST_PATH_IMAGE055
On the premise of (1), the parameters can be determined by the formula (12)
Figure 404583DEST_PATH_IMAGE064
Namely:
Figure 321724DEST_PATH_IMAGE072
（13）。
3. calculation and prediction of gas emission amount caused by coal breakage
The mass of the coal falling in unit time is set as
Figure 902791DEST_PATH_IMAGE073
Calculable tileTotal amount of desorption:
（14）
the gas desorption amount calculated by the formula (14) was used as a prediction of the coal dropping gas emission amount.
In the prediction method, the gas emission amount is predicted by convolution of a change curve of the coal dropping amount per unit time, the coal dropping particle size distribution and the desorption intensity of particles with different diameters.
Specifically, in the above-described prediction method, the parameter in the diameter distribution function is determined by the dichotomy, and the parameter of desorption intensity is determined by the residual gas content.
Detailed Description
About 50kg of coal samples are collected underground, the coal samples are respectively sieved by sieves with the hole diameters of 25mm, 20mm, 15mm, 10mm, 8mm, 6mm, 5mm, 4mm, 3mm, 2mm, 1mm, 0.5mm and 0.2mm, and the mass of coal particles with various particle diameters is respectively weighed。
Calculating the ratio of the mass of the coal particles with each particle size to the total mass of the sample
Figure 77235DEST_PATH_IMAGE077
Figure 338452DEST_PATH_IMAGE078
And the calculation results are filled in table 3.
Figure 7331DEST_PATH_IMAGE079
Calculating the particle size distribution function in
Figure 813744DEST_PATH_IMAGE080
Value of each point
Figure 367402DEST_PATH_IMAGE082
，
Figure 703836DEST_PATH_IMAGE083
The calculation results are filled in table 4.
Figure 133681DEST_PATH_IMAGE084
Empirically, distributing the parameters
Figure 437623DEST_PATH_IMAGE014
I.e. the average diameter of the coal particles is in the range of [2,10 ]]I.e., computing a functional:
Figure 712747DEST_PATH_IMAGE085
correspond to
Figure 169267DEST_PATH_IMAGE086
Then, the value of (d) is calculated by bisection
Figure 504433DEST_PATH_IMAGE023
Minimum distribution parameter
Figure 295672DEST_PATH_IMAGE014
The values, calculated as shown in Table 5.
Figure 374486DEST_PATH_IMAGE087
Due to the fact that
Figure 685513DEST_PATH_IMAGE088
And
Figure 519477DEST_PATH_IMAGE089
corresponding functional
Figure 470115DEST_PATH_IMAGE023
The values are already the same within the accuracy of the calculation, and
Figure 165670DEST_PATH_IMAGE090
therefore, the average value of the two, i.e. 7.333, can be taken as the distribution parameter
Figure 518154DEST_PATH_IMAGE041
An estimate of (d). The distribution function is then:
Figure 523019DEST_PATH_IMAGE091
and the distribution density function is:
Figure 960954DEST_PATH_IMAGE092
。
for average particle diameter of
Figure 194620DEST_PATH_IMAGE056
Coal sample of =2mm, exposure time was tested
Figure 667190DEST_PATH_IMAGE057
=20
Figure 842956DEST_PATH_IMAGE093
And
Figure 581236DEST_PATH_IMAGE058
=
Figure 805544DEST_PATH_IMAGE093
respectively has a residual gas content of
Figure 929358DEST_PATH_IMAGE059
=8.11And
Figure 439285DEST_PATH_IMAGE060
=3.94
Figure 467283DEST_PATH_IMAGE094
can find the coefficient
Figure 711183DEST_PATH_IMAGE055
Namely:
=0.412。
the gas content in the coal seam before exposure is
Figure 613728DEST_PATH_IMAGE095
For particle diameters are respectively
Figure 179839DEST_PATH_IMAGE096
Figure 543824DEST_PATH_IMAGE097
And
Figure 717447DEST_PATH_IMAGE066
=6
Figure 104566DEST_PATH_IMAGE097
the exposure time was determined to be
Figure 536685DEST_PATH_IMAGE098
Figure 427280DEST_PATH_IMAGE099
Respectively has a residual gas content of3.11And
Figure 882030DEST_PATH_IMAGE068
=2.74
Figure 892711DEST_PATH_IMAGE101
after the parameters have been determinedOn the premise of (1), parameters can be determinedNamely:
Figure 543769DEST_PATH_IMAGE102
。
to be determined
Figure 222006DEST_PATH_IMAGE055
Value sum
Figure 360864DEST_PATH_IMAGE064
Substituting the values into a relation between the residual gas content and the gas desorption intensity to respectively obtain:
Figure 6609DEST_PATH_IMAGE103
and
Figure 256324DEST_PATH_IMAGE104
。
the formula for calculating the gas emission caused by coal breakage comprises the following steps:
Figure 54647DEST_PATH_IMAGE074
。
the coal dropping quality of a certain fully mechanized mining face in unit time is set as follows:
Figure 364406DEST_PATH_IMAGE105
Figure 497447DEST_PATH_IMAGE106
the calculation results are shown in Table 6.
Figure 550853DEST_PATH_IMAGE107

Claims (4)

1. A method for predicting coal dropping gas emission quantity based on particle size distribution is characterized by comprising the following steps:
(1) construction of coal particle diameter distribution Density function
Taking a certain amount of coal samples
Figure DEST_PATH_IMAGE001
Respectively using a sieve with the pore diameter of 25mm, 20mm, 15mm, 10mm, 8mm, 6mm, 5mm, 4mm, 3mm,The coal samples are sieved by sieves with the diameter of 2mm, 1mm, 0.5mm and 0.2mm, and the mass of the coal particles in each particle size interval is weighed
Figure 478753DEST_PATH_IMAGE002
；
Calculating the mass of coal particles with each particle size
Figure 122224DEST_PATH_IMAGE002
To the total mass of the sample
Figure 519707DEST_PATH_IMAGE001
Ratio of (A to B)
Figure DEST_PATH_IMAGE003
And calculating a value of a particle size distribution function
Figure 310946DEST_PATH_IMAGE004
；
The coal particle size is considered to be obeyed
Figure DEST_PATH_IMAGE005
Distribution, distribution function thereof
Figure 452077DEST_PATH_IMAGE006
Defined as a particle size of less thanThe ratio of the mass of the coal particles to the total mass of the sample, namely the particle size distribution function and the distribution density (function), is respectively as follows:
Figure 513836DEST_PATH_IMAGE008
（1）
and
（2）
empirically determining the average diameter of the coal particles
Figure 410117DEST_PATH_IMAGE010
Is taken as a value interval
Figure DEST_PATH_IMAGE011
And calculating a functional:
（3）
respectively correspond to
Figure DEST_PATH_IMAGE013
And
Figure 869359DEST_PATH_IMAGE014
the value of (c):
Figure DEST_PATH_IMAGE015
（4）
（5）
getCalculating functional
Figure 289025DEST_PATH_IMAGE018
Correspond to
Figure DEST_PATH_IMAGE019
Value taking
Figure 353059DEST_PATH_IMAGE020
If, if
Figure DEST_PATH_IMAGE021
Then get
Figure 835993DEST_PATH_IMAGE022
，
Figure DEST_PATH_IMAGE023
(ii) a If it is not
Figure 370879DEST_PATH_IMAGE024
Then get
Figure DEST_PATH_IMAGE025
，；
Get again
Figure DEST_PATH_IMAGE027
Calculating functional
Figure 86256DEST_PATH_IMAGE018
Correspond to
Figure 310564DEST_PATH_IMAGE028
Value taking
Figure DEST_PATH_IMAGE029
If, if
Figure 434378DEST_PATH_IMAGE021
Then get
Figure 781046DEST_PATH_IMAGE030
，
Figure 193572DEST_PATH_IMAGE023
(ii) a If it is not
Figure 785353DEST_PATH_IMAGE024
Then get
Figure DEST_PATH_IMAGE031
，；
Repeating the above steps to obtain a sequence
Figure 281242DEST_PATH_IMAGE032
If, if
Figure DEST_PATH_IMAGE033
Then it can be considered asCorresponding functional
Figure 809493DEST_PATH_IMAGE018
Taking the minimum value, will
Figure DEST_PATH_IMAGE035
As
Figure 674943DEST_PATH_IMAGE036
So as to obtain a coal particle diameter distribution function
Figure 97834DEST_PATH_IMAGE006
And distribution density function
Figure DEST_PATH_IMAGE037
；
(2) Determination of coal-dropping gas desorption strength
Has an average particle diameter of
Figure 547270DEST_PATH_IMAGE007
The residual gas content in the coal per unit mass is:
Figure 917071DEST_PATH_IMAGE038
（6）
wherein,
Figure DEST_PATH_IMAGE039
the original gas content of the coal;
Figure 869984DEST_PATH_IMAGE007
is the diameter of the coal briquette;
Figure 230820DEST_PATH_IMAGE040
exposure time for coal breakage;
Figure DEST_PATH_IMAGE041
is a constant related to characteristic parameters such as coal breakage geometry and coal quality,
Figure 901973DEST_PATH_IMAGE042
is a constant with a time dimension set for eliminating singularity, and is usually taken
Figure DEST_PATH_IMAGE043
Thus, the average particle diameter is
Figure 137782DEST_PATH_IMAGE044
The gas desorption intensity per unit mass of coal of (a) is:
Figure DEST_PATH_IMAGE045
（7）
taking into account that the coal is continuously collapsing, i.e.
Figure 210780DEST_PATH_IMAGE046
To
Figure DEST_PATH_IMAGE047
All have coal caving, at the momentParticle size of
Figure 900967DEST_PATH_IMAGE007
The gas desorption amount per unit coal can be constructed based on the formula (5), that is:
Figure DEST_PATH_IMAGE049
（8）
the first step is as follows: determining coefficients
Figure 674888DEST_PATH_IMAGE050
For the same particle size
Figure DEST_PATH_IMAGE051
Taking two different time samples
Figure 602393DEST_PATH_IMAGE052
And
Figure DEST_PATH_IMAGE053
separately determining the residual gas content
Figure 305032DEST_PATH_IMAGE054
And
Figure DEST_PATH_IMAGE055
the application formula (6) includes:
Figure 950777DEST_PATH_IMAGE056
（9）
and
Figure DEST_PATH_IMAGE057
（10）
from the formulae (9) and (10) to give
Figure 262809DEST_PATH_IMAGE058
（11）
The second step is that: determining parameters
Figure DEST_PATH_IMAGE059
For particle diameters of respectively
Figure 310400DEST_PATH_IMAGE060
And
Figure DEST_PATH_IMAGE061
the exposure time is measured as
Figure 183940DEST_PATH_IMAGE052
Residual gas content ofAnd
Figure DEST_PATH_IMAGE063
the application formula (6) includes:
Figure 432705DEST_PATH_IMAGE064
（12）
and
Figure DEST_PATH_IMAGE065
（13）
from formulas (12) and (13), there are obtained:
Figure 334802DEST_PATH_IMAGE066
（14）
after the parameters have been determined
Figure 815462DEST_PATH_IMAGE050
On the premise that the parameters can be determined by the formula (14)
Figure 671684DEST_PATH_IMAGE059
Namely:
（15）
(3) calculation and prediction of gas emission amount caused by coal breakage
The mass of the coal falling in unit time is set as
Figure 591099DEST_PATH_IMAGE068
The total gas desorption amount can be calculated as follows:
Figure DEST_PATH_IMAGE069
Figure 347702DEST_PATH_IMAGE070
（16）
the gas desorption amount calculated by the formula (16) was used as a prediction of the coal dropping gas emission amount.
2. The method of claim 1, wherein the gas emission amount is predicted by convolution of a change curve of the coal emission amount per unit time, the coal particle size distribution, and desorption intensities of particles having different diameters.
3. The method of claim 1, wherein the parameters of the diameter distribution function are determined by a dichotomy method.
4. The method of claim 1, wherein the residual gas content is used to determine the desorption intensity parameter.
CN201110219760.8A 2011-08-03 2011-08-03 Size distribution-based dropped-coal gas discharge volume prediction method Expired - Fee Related CN102436537B (en)

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CN105092410A (en) * 2015-07-14 2015-11-25 中煤科工集团重庆研究院有限公司 Method and device for measuring desorption amount of large-block-size residual coal gas in goaf
CN109779625A (en) * 2019-01-25 2019-05-21 华北科技学院 A method and device for outburst prediction based on size distribution of drilled coal cuttings

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Publication number Priority date Publication date Assignee Title
CN104794550A (en) * 2015-05-13 2015-07-22 山东科技大学 WT-KPCA-SVR coupling model based gas emission quantity prediction method
CN104794550B (en) * 2015-05-13 2016-06-22 山东科技大学 Forecast of Gas Emission method based on WT-KPCA-SVR coupling model
CN105092410A (en) * 2015-07-14 2015-11-25 中煤科工集团重庆研究院有限公司 Method and device for measuring desorption amount of large-block-size residual coal gas in goaf
CN105092410B (en) * 2015-07-14 2017-11-10 中煤科工集团重庆研究院有限公司 Method and device for measuring desorption amount of large-block-size residual coal gas in goaf
CN109779625A (en) * 2019-01-25 2019-05-21 华北科技学院 A method and device for outburst prediction based on size distribution of drilled coal cuttings

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