CN104794315B - Based on the Seam Floor Failure band depth determination method for improving fracture mechanics model - Google Patents
Based on the Seam Floor Failure band depth determination method for improving fracture mechanics model Download PDFInfo
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Abstract
The present invention is a kind of based on the Seam Floor Failure band depth determination method for improving fracture mechanics model, belong to " three next on " exploitation and gas pumping technical field, present invention gained on the basis of the measured data of national mine is collected, therefore overcome the limitation of region；It is thorough that the present invention is considered the factor that fracture belt depth is influenceed known to us, but also considers influence of the seam inclination to coal seam floor failure depth first, therefore, effectively increases the precision and stability of computation model.
Description
Technical field
The invention belongs to " three next on " exploitation and gas pumping technical field, and in particular to one kind is based on improving disruptive force
Learn the Seam Floor Failure band depth determination method of model.
Background technology
With the development of China's mining technique and scientific and technological level, overlength working face, the quantity of large mining depth working face increases year after year
More, the bottom plate water damage problem occurred in China is also continuously increased, and has obtained the concern and attention of numerous experts and scholars in the industry；The bottom of at
In terms of the forecast of plate water disasters type, achieved by the effort of numerous experts and scholars for many years and the bottom plate water damage research in research China rich
Large achievement；Wuqiang County professor is using vulnerable index and generalized information system etc., it is proposed that " three figure double predictions " method, Jiang Zhenquan religions
Award the evaluation method that mining under safe waterpressure of aquifer Water Inrush is proposed with Duan Hongfei etc., Wang Lianguo professors and grandson build etc. to inclined seam bottom plate
Destructive characteristics and mechanism of water inrush conduct in-depth research.Coal seam floor failure is a most important reason for causing water damage, to bottom plate
The prediction of collapse dept is particularly important；The emerging professor of Miao associations, Jiang Yaodong professors and Liu Shucai etc. are carried out to adopting coal seam floor failure rule
Further investigation, Shi Longqing professors and to plate destructing depth has carried out multiplicity in dawn dove etc., establishes multifactor bottom
Plate collapse dept computation model, Guo Wenbing etc. establish the plate destructing depth Prediction Model based on BP neural network；
Above experts and scholars acquire a great achievement in terms of band depth determination method is destroyed, but it is determined that coal seam floor failure is deep
There is many thing to do on the research road of degree, the computational accuracy for improving coal seam floor failure is still that we update and chased after
The direction asked；
Original coal seam floor failure depth mechanics model：
Analysis working face adopts rear coal seam floor failure and stress distribution, the ANALYSIS OF CALCULATING of structural mechanics is normally applied, after adopting
Base sheet stresses are distributed and damage envelope model is as shown in Figure 1；
The bottom plate of working face is due to mining influence so that stress redistributes, and stress concentration is in rib both sides so that rib
Locate the increase of branch bearing capacity, a stress relaxed area is formed in goaf；Tu1Zhong① areas are active principal stress area, and 2. area is transition
Area, 3. area is passive stressed zone；The collapse dept increase formed due to supporting pressure influence, the collapse dept in rib both sides
Significantly larger than worked centre position, and maximum destruction band depth is typically all concentrated in transition region；
Coal seam floor failure depth calculation model is established using fracture mechanics：
In formula：H is destruction with depth, m；H is bottom plate buried depth, m；L is stope width, m；γ is that floor rock averagely holds
Weight, MN/m3；RcFor the compression strength (0.15 times that typically takes rock uniaxiality strength) of floor rock, MPa.
From formula (4) it can be seen that destroy with depth and buried depth square, the quadratic sum of floor rock volume-weighted average works
Face plagioclase is directly proportional, with square being inversely proportional for the compression strength of floor rock；Think seam inclination to bottom plate in fracture mechanics
Destroying band depth does not influence, but finds that influence of the presence of seam inclination to coal seam floor failure is strictly in the production of reality
Apparent.
The content of the invention
In view of the shortcomings of the prior art, the present invention is proposed based on the Seam Floor Failure band depth for improving fracture mechanics model
Method is determined, to reach the purpose for improving coal seam floor failure depth and determining precision and stability.
A kind of Seam Floor Failure band depth determination method based on improvement fracture mechanics model, comprises the following steps：
Step 1, structure Seam Floor Failure band depth test model, wherein, depth, stope width, roof and floor are adopted in holding
Lithology, mining height and boundary condition are constant, change the value of seam inclination, Seam Floor Failure band depth value corresponding to acquisition；
Step 2, according to the every group of seam inclination obtained and its corresponding Seam Floor Failure band depth, using least square method
Seam inclination and Seam Floor Failure are fitted with the functional relation between depth；
Step 3, fracture mechanics model and seam inclination and Seam Floor Failure mutually tied with the functional relation between depth
Close, the coal seam floor failure depth model based on fracture mechanics after being improved；
Step 4, according to the coal seam floor failure depth model based on fracture mechanics after the improvement of acquisition, by Practical Project
Seam inclination, bottom plate buried depth, stope width, the compression strength of floor rock volume-weighted average and floor rock substitute into above-mentioned mould
Type, obtain the coal seam floor failure depth of target coal seam.
Seam inclination excursion described in step 1 is 0 °~30 °.
Structure Seam Floor Failure band depth test model described in step 1, using UDEC numerical simulation softwares.
Seam inclination and Seam Floor Failure described in step 2 is as follows with the functional relation between depth, formula：
H=a α3+bα2+cα+d (1)
Wherein, h represents Seam Floor Failure band depth, m；α represents seam inclination, and a, b, c, d represent undetermined coefficient.
Described in step 3 by fracture mechanics model and seam inclination and Seam Floor Failure with the functional relation between depth
It is combined, it is specific as follows according to the principle of similitude：
Wherein, h represents Seam Floor Failure band depth, m；H represents bottom plate buried depth, m；L represents stope width, m；γ tables
Show floor rock volume-weighted average, MN/m3；RcRepresent the compression strength of floor rock, Mpa；α represents seam inclination；
According to the principle of similitude, a α on the right of equal sign left side h and equal sign in formula (2)3+bα2+ c α+d consider seam inclination, public
Equal sign left side fracture mechanics model in formula (2)Seam inclination, i.e. α=0 ° are not considered with d on the right of equal sign；
Arrange formula (2) and obtain the coal seam floor failure depth model based on fracture mechanics：
Advantage of the present invention：
The present invention proposes a kind of Seam Floor Failure band depth determination method based on improvement fracture mechanics model, is collecting
Gained on the basis of the measured data of national mine, therefore overcome the limitation of region；The present invention known to us on influenceing
It is thorough that the factor of fracture belt depth considers, but also considers influence of the seam inclination to coal seam floor failure depth first, therefore,
Effectively increase the precision and stability of computation model.
Brief description of the drawings
Fig. 1 is base sheet stresses distribution and damage envelope schematic diagram；
Fig. 2 is the projective water point location map of an embodiment of the present invention；
Fig. 3 is the measured data seam inclination of an embodiment of the present invention to destroying band effect of depth curve map；
Fig. 4 is an embodiment of the present invention based on the Seam Floor Failure band depth determination side for improving fracture mechanics model
Method flow chart；
Fig. 5 is the numerical experiments seam inclination of an embodiment of the present invention with destroying band depth matched curve figure.
Embodiment
An embodiment of the present invention is described further below in conjunction with the accompanying drawings.
In the embodiment of the present invention, the statistics of the projective water point position in each mining area in China is analyzed；
Although the upper-lower position of inclined cut is there is elevation difference, because buried depth is more much greater than elevation difference, and
Earth's surface absolute altitude is there is also difference, so the stress of primary rock of apparent dip working face upper-lower position is equal；In the embodiment of the present invention, receive
The statistics for having collected the projective water point in the whole country and seam inclination is analyzed, because the length of working face is different, according to
Projective water point " proportional positions " is analyzed, and 0 is the foot of inclined cut, and 1 is the topmost of inclined cut, and 0~0.3 regards
It is considered as working face bottom, 0.3~0.7 in the middle part of working face, 0.7~1 is considered as working face top, is shown in Table 1, analyze data arranges row
In Fig. 2, abscissa is the position of projective water point, and ordinate is seam inclination.The projective water point position 72% of water inrush accident concentrates on work
Make the bottom in face, and the projective water point of projective water point position 79% concentrates on lower portion when seam inclination is more than 10 ° less than 30 °
Put.It is larger to illustrate that band depth is destroyed in bottom, it can be deduced that because the presence at inclination angle is destroyed with depth maximum position in working face
Bottom, inclination angle becomes to be become apparent greatly to destroying the influence with depth.
The seam inclination of table 1 and projective water point position statistical form
In the embodiment of the present invention, the seam inclination of collection is analyzed with destroying the data with depth.
Collect the statistics of 43 groups of destructions with depth and seam inclination in each mining area in the whole nation, be shown in Table 2, destroy band depth with
The variation relation of seam inclination, as shown in Figure 3.As can be seen from the figure when the excursion of seam inclination is 0 °~30 °
Big with the change of seam inclination, incremental rule is presented in the depth for destroying band.
Band depth and seam inclination statistics are destroyed in each mining area in the whole nation of table 2
In the embodiment of the present invention, based on the Seam Floor Failure band depth determination method for improving fracture mechanics model, method
Flow chart is as shown in figure 4, comprise the following steps：
Step 1, structure Seam Floor Failure band depth test model, wherein, depth, stope width, roof and floor are adopted in holding
Lithology, mining height and boundary condition are constant, change the value of seam inclination, Seam Floor Failure band depth value corresponding to acquisition；It is described
Seam inclination excursion be 0 °~30 °.
In the embodiment of the present invention, for seam inclination can be accurately reflected to destroying the influence with depth, Utopian examination is established
Model is tested, analysis of experiments is carried out using UDEC numerical simulation softwares；
In the embodiment of the present invention, the moulded dimension of foundation is 300 × 200 square model, to eliminate boundary effect,
Right boundary all at least leaves 50m border, and roof and floor lithologic is all hard rock in selection, for more accurately simulation bottom is destroyed
Depth, floor undulation distance model lower limits 80m；It is all 200m that the lower limits of model, which are adopted deep, and stope width is
100m, mining height 2m.
Step 2, according to the every group of seam inclination obtained and its corresponding Seam Floor Failure band depth, using least square method
Seam inclination and Seam Floor Failure are fitted with the functional relation between depth；
In the embodiment of the present invention, numerical simulation seam inclination and coal seam floor failure when seam inclination is 0 °~30 ° is deep
The change of degree, data are that 6 group models simulate seam inclination with destroying the result with depth in table 3.
The numerical experiments of table 3 destroy band depth data
The incidence relation with depth and seam inclination is destroyed to draw, in the embodiment of the present invention, according to 6 groups of test datas
(xi, yi), (i=1 ..., 6), seek approximate function y=S (x)；In fitting function problem, in engineering during determination function parameter most
Conventional method is least square method, and the general principle of this method is to minimize the deviation square between match value and actual value
With.
In the embodiment of the present invention, using seam inclination as independent variable, band depth is destroyed as dependent variable, establishes cubic fit
Function, seam inclination is fitted with destroying band depth function curve：
H=0.0001 α3+0.001α2+0.1α+10.0 (5)
Wherein, for h to destroy band depth, α is seam inclination.The function curve fitted is as shown in Figure 5.
As can be seen from Figure 5 when seam inclination is in the range of 0 °~30 °, destroy band with the increase of seam inclination and
Increase.But it is not to remain linear pattern to be incremented by that band depth is destroyed in the range of change of pitch angle, the slope of curve in 0 °~12 ° of scopes
For 0.13, destroy band depth with when seam inclination changes change it is smaller, in 12 °~30 ° of scopes, the slope of curve is 0.28, is broken
It is bad with depth with seam inclination change when change greatly.
Step 3, fracture mechanics model and seam inclination and Seam Floor Failure mutually tied with the functional relation between depth
Close, obtain the coal seam floor failure depth model based on fracture mechanics；
In the embodiment of the present invention, according to the principle of similitude, using fracture mechanics model and the destruction established band depth and coal seam
The functional relation at inclination angle, establish a kind of new destruction band depth Im-FM computation models；
The principle of similitude can apply to solve to ask and generally solve, it is known that theory function f (x) and letter according to Theory Solution in engineering
Likelihood ratio k is counted, then universal function S (x)=kf (x), wherein, k values solve according to special similitude；In applied mathematical model
Similar function principle establishes the coal seam floor failure fracture mechanics computation model for considering seam inclination influence：
Step 4, according to the coal seam floor failure depth model based on fracture mechanics after the improvement of acquisition, by Practical Project
Seam inclination, bottom plate buried depth, stope width, the compression strength of floor rock volume-weighted average and floor rock substitute into above-mentioned mould
Type, obtain the coal seam floor failure depth of target coal seam.
In the embodiment of the present invention, the coal seam floor failure depth model based on fracture mechanics is tested, draws the model
Computational accuracy and stability all increase, and may apply among engineering reality.
The coal seam collapse dept measured data in the whole nation is collected, and the data of collection are conscientiously selected, the data of selection
All it is that no tomography influences, influences without initial fissure and influenceed without repeated mining, and seam inclination is all in the range of 0 °~30 °
Measured data, totally 10 groups of sample datas, are shown in Table 4.
The sample data affecting parameters of table 4 are with destroying band deep statistical table
The parameter in table 2 is applied to enter respectively using Im-FM (improved fracture mechanics) computation models and fracture mechanics model
Row calculates, and analyzes the calculation error of two models, and result of calculation is shown in Table 5.
The Im-FM models of table 5 and fracture mechanics model error contrast table
It is can be seen that from the comparing result of table 5 except the 4th and the 8th group of result of calculation fracture mechanics model error is smaller, it is other
The error of eight groups of data Im-FM computation models is both less than the relative error of fracture mechanics model.Square mistake of Im-FM computation models
Difference is 7.75, and the square error of fracture mechanics computation model is 15.70, illustrates that the algorithm of Im-FM computation models is more stable.
Claims (3)
1. a kind of coal seam floor failure depth determination method based on fracture mechanics, it is characterised in that comprise the following steps：
Step 1, structure Seam Floor Failure band depth test model, wherein, holding adopt depth, stope width, roof and floor lithologic,
Mining height and boundary condition are constant, change the value of seam inclination, Seam Floor Failure band depth value corresponding to acquisition；
Step 2, according to the every group of seam inclination obtained and its corresponding Seam Floor Failure band depth, using least square fitting
Inclination layer and Seam Floor Failure produce coal with the functional relation between depth；
Described seam inclination and Seam Floor Failure is as follows with the functional relation between depth, formula：
H=a α3+bα2+cα+d (1)
Wherein, h represents Seam Floor Failure band depth, unit m；α represents seam inclination, and a, b, c, d represent undetermined coefficient；
Step 3, fracture mechanics model is combined with seam inclination and Seam Floor Failure with the functional relation between depth, obtained
Obtain the coal seam floor failure depth model based on fracture mechanics；
Described is combined fracture mechanics model with seam inclination and Seam Floor Failure with the functional relation between depth, root
It is specific as follows according to the principle of similitude：
<mrow>
<mfrac>
<mi>h</mi>
<mfrac>
<mrow>
<mn>1.57</mn>
<msup>
<mi>&gamma;</mi>
<mn>2</mn>
</msup>
<msup>
<mi>H</mi>
<mn>2</mn>
</msup>
<mi>L</mi>
</mrow>
<mrow>
<mn>4</mn>
<msubsup>
<mi>R</mi>
<mi>c</mi>
<mn>2</mn>
</msubsup>
</mrow>
</mfrac>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<msup>
<mi>a&alpha;</mi>
<mn>3</mn>
</msup>
<mo>+</mo>
<msup>
<mi>b&alpha;</mi>
<mn>2</mn>
</msup>
<mo>+</mo>
<mi>c</mi>
<mi>&alpha;</mi>
<mo>+</mo>
<mi>d</mi>
</mrow>
<mi>d</mi>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, H represents bottom plate buried depth, unit m；L represents stope width, unit m；γ represents that floor rock averagely holds
Weight, unit MN/m3；RcRepresent the compression strength of floor rock, unit Mpa；According to the principle of similitude, equal sign is left in formula (2)
Side h and equal sign the right a α3+bα2+ c α+d consider seam inclination, equal sign left side fracture mechanics model in formula (2)Seam inclination, i.e. α=0 ° are not considered with d on the right of equal sign；
Arrange formula (2) and obtain the coal seam floor failure depth model based on fracture mechanics：
<mrow>
<mi>h</mi>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<msup>
<mi>a&alpha;</mi>
<mn>3</mn>
</msup>
<mo>+</mo>
<msup>
<mi>b&alpha;</mi>
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</msup>
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<mi>c</mi>
<mi>&alpha;</mi>
</mrow>
<mi>d</mi>
</mfrac>
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<mn>1</mn>
<mo>)</mo>
</mrow>
<mfrac>
<mrow>
<mn>1.57</mn>
<msup>
<mi>&gamma;</mi>
<mn>2</mn>
</msup>
<msup>
<mi>H</mi>
<mn>2</mn>
</msup>
<mi>L</mi>
</mrow>
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<mo>(</mo>
<mn>3</mn>
<mo>)</mo>
</mrow>
</mrow>
Step 4, the coal seam floor failure depth model based on fracture mechanics according to acquisition, by the seam inclination in Practical Project,
Bottom plate buried depth, stope width, the compression strength of floor rock volume-weighted average and floor rock, the bottom plate for obtaining target coal seam are broken
Bad band depth.
2. the coal seam floor failure depth determination method according to claim 1 based on fracture mechanics, it is characterised in that step
Seam inclination excursion described in 1 is 0 °~30 °.
3. the coal seam floor failure depth determination method according to claim 1 based on fracture mechanics, it is characterised in that step
Structure Seam Floor Failure band depth test model described in 1, using UDEC numerical simulation softwares.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105257337B (en) * | 2015-10-20 | 2017-08-25 | 辽宁工程技术大学 | Filling mining overlying strata fracture belt method for determining height based on Plate Theory |
| CN108222937B (en) * | 2018-01-30 | 2019-03-12 | 山东科技大学 | Secondary top board structure quantitative analysis and its evaluation method based on inclined seam exploitation |
| CN110610043B (en) * | 2019-09-10 | 2022-11-11 | 辽宁工程技术大学 | Method for calculating damage depth of inclined coal seam goaf bottom plate |
| CN111102008B (en) * | 2019-12-14 | 2021-06-29 | 陕西煤业化工技术研究院有限责任公司 | Method for exploring damage depth of bottom plate for non-pillar mining on pressure-bearing water body |
| CN112709565B (en) * | 2021-01-27 | 2022-07-29 | 国家能源集团宁夏煤业有限责任公司双马煤矿 | Method for determining plugging depth of waste petroleum well in coal mining area |
| CN113449415B (en) * | 2021-06-07 | 2023-02-24 | 西安科技大学 | Double-layer structure-based bottom plate slippage failure depth calculation method |
| CN114397421B (en) * | 2021-11-29 | 2022-11-01 | 中煤科工开采研究院有限公司 | Mining coal seam floor damage depth monitoring method |
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