CN106246183A - A kind of method determining sublevel caving method without sill pillar Caved ore body form - Google Patents
A kind of method determining sublevel caving method without sill pillar Caved ore body form Download PDFInfo
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- 239000011435 rock Substances 0.000 claims abstract description 20
- 238000005265 energy consumption Methods 0.000 claims abstract description 5
- 230000005484 gravity Effects 0.000 claims description 6
- 238000004880 explosion Methods 0.000 claims description 5
- 239000012895 dilution Substances 0.000 abstract description 6
- 238000010790 dilution Methods 0.000 abstract description 6
- 230000009467 reduction Effects 0.000 abstract description 4
- 238000006243 chemical reaction Methods 0.000 abstract description 3
- 238000013178 mathematical model Methods 0.000 abstract description 2
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 6
- 238000005065 mining Methods 0.000 description 5
- 230000008569 process Effects 0.000 description 4
- 229910052742 iron Inorganic materials 0.000 description 3
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
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- E21C41/16—Methods of underground mining; Layouts therefor
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Abstract
The present invention relates to a kind of method determining sublevel caving method without sill pillar Caved ore body form, according to draw theory and least energy consumption principle, showing that Caved ore body is similar with Loose rock, its form is that ellipsoid lacks, and three's eccentricity is identical, set up the mathematical model of Caved ore body on this basis；Caved ore body volume is determined by a coefficient of volumetric expansion and Stope Parameters, derive, by mathematics conversion, volume computing formula that avalanche ellipsoid lacks and combine Caved ore body volume and determine Caved ore body three shaft length, finally determining the height of Caved ore body, along the thickness in extracting drift direction and the width in vertical extracting drift direction.The present invention to study further Caved ore body form, optimum structural parameter, the loss and dilution of reduction Ore, improve mine economic profit significant.
Description
Technical field
The present invention relates to underground metal mine sublevel caving method without sill pillar mining technique field, particularly relate to one and determine nothing
The method of foundation sublevel caving method Caved ore body form.
Background technology
The many merits such as bottom-column-free sectional caving stoping method is big because of mining rate, production safety, metal the most at home and abroad
Iron ore mine is extensively applied.But these mining methods are at ore deposit, overlying strata whereabouts and ore removal, the problem that loss and dilution is big does not obtains
To solving well.
The Pilling body of ore that Caved ore body is formed after quick-fried ore body explosion in loose covering layer, is the object of ore drawing, its
The loss and dilution of Ore is had a significant impact by form.But composing due to Caved ore body and be stored in covering layer, form is difficult to observe, and does not also have
There is the method determining its form.Determine that Caved ore body form is to stope structure parameter optimization, the loss and dilution of reduction Ore, raising ore deposit
Mountain economic benefit has important theory significance and real value.
Summary of the invention
The invention provides a kind of method determining sublevel caving method without sill pillar Caved ore body form, according to draw theory and
Little power consumption principle, show that Caved ore body is similar with Loose rock, and its form is that ellipsoid lacks, and sets up the mathematical model of Caved ore body；By once
The coefficient of volumetric expansion and Stope Parameters determine Caved ore body volume, derive the scarce volume computing formula of avalanche ellipsoid by mathematics conversion and tie
Close Caved ore body volume determine Caved ore body three shaft length, finally determine Caved ore body height, along extracting drift direction thickness and hang down
Straight gyrus adopts the width of entry direction；The present invention is to studying Caved ore body form, optimum structural parameter, the damage of reduction Ore further
Lose dilution, improve mine economic profit significant.
In order to achieve the above object, the present invention realizes by the following technical solutions:
A kind of method determining sublevel caving method without sill pillar Caved ore body form, based on Ore Flows, Caved ore body and Loose rock three
Person is that similar ellipsoid lacks, and three's eccentricity is identical, by calculating Caved ore body volume and Caved ore body three shaft length, finally determines and collapses
The height of falling bodies, the width of vertical entry direction and the thickness along entry direction；Specifically comprise the following steps that
The first step, calculates by the volume Q of quick-fried ore bodyOre deposit；
If Stope Parameters height of lift is H, drift interval is L, ore caving interval is B, a width of m in cross section, tunnel, cross section, tunnel
A height of n；By the volume of quick-fried ore body it is then:
QOre deposit=B (H L-m n) formula 1
Second step, calculating limit coefficient of volumetric expansion KJX:
In formula: QDissipateBroken ore volume, m3；
GDissipateBroken ore gravity, N；
γDissipateBroken ore unit weight, N/m3；
GOre depositOre gravity, N；
γOre depositBy quick-fried ore body unit weight, N/m3；
Formula 2,3,4 simultaneous, then have:
Bore sample and broken ore in scene, at the unit weight γ of experimental determination broken oreDissipateAnd the appearance by explosion ore body
Weight γOre deposit, formula 5 obtain the limit coefficient of volumetric expansion K releasing an Ore prose style free from parallelismJX；
3rd step, calculates Caved ore body volume QCollapse:
QCollapse=Ks·QOre depositFormula 7
In formula: KsThe secondary coefficient of volumetric expansion；
KssThe second loosening coefficient, takes empirical value Kss=1.060～1.100；
4th step, solves three shaft lengths of Caved ore body:
Being obtained Caved ore body by least energy consumption principle similar with Loose rock, the ellipsoid cut off by end wall lacks, according to ore drawing
Ore Flows knowable to theoretical is similar with Loose rock, lacks by the ellipsoid cut off by end wall, therefore Caved ore body, Loose rock and Ore Flows three
Person is that similar ellipsoid lacks, and eccentricity is identical；Bottom-column-free sectional caving stoping method use Side ore drawing time release ellipsoid lack, avalanche
Ellipsoid lacks and loosening ellipsoid lacks central axis and there is bias angle theta with end wall surface, i.e. axle drift angle, value is 2 °～5 °；Calculating avalanche is ellipse
Segment geometric volume QCollapseAs follows:
In formula: QCollapseCaved ore body volume, m3；
aCollapseThe major axis of Caved ore body, m；
bCollapseThe short axle in Caved ore body vertical extracting drift direction, m；
cCollapseCaved ore body is along the short axle in extracting drift direction, m；
Avalanche ellipsoid is lacked, it is known that its major axis is aCollapse, then
In formula: εbCaved ore body vertical entry direction eccentricity, 0 < εb<1；
εcCaved ore body is along entry direction eccentricity, 0 < εc<1；
Formula 7,9 is substituted into formula 8, obtains
Simultaneous formula 9,10, obtains Caved ore body three shaft length as follows:
5th step: determine the height of Caved ore body, the width in vertical extracting drift direction and the thickness along extracting drift direction；
Avalanche ellipsoid lacks central axis and there is axle bias angle theta with end wall surface, is converted to collapse by three shaft lengths of Caved ore body by θ
The height Z of falling bodies, the width X in vertical extracting drift direction and the thickness Y along extracting drift direction, such as following formula:
Caved ore body form is by the height Z of Caved ore body, the width X in vertical extracting drift direction and the thickness along extracting drift direction
Degree Y is described.
Compared with prior art, the invention has the beneficial effects as follows:
Provide a kind of method determining non-pillar sublevel caving mining Caved ore body form, to the abundantest Caved ore body reason
Opinion, optimum structural parameter, reduction Ore loss and dilution rates, abundant Resource recovery are significant.
Accompanying drawing explanation
Fig. 1 is Ore Flows of the present invention, Caved ore body and the graph of a relation of Loose rock three.(along extracting drift direction)
Fig. 2 is non-pillar sublevel caving face schematic diagram of the present invention.(vertical extracting drift direction)
In figure: 1. Caved ore body 2. Ore Flows 3. Loose rock 4. ore body 5. extracting drift 6. covering layer
Detailed description of the invention
Below in conjunction with the accompanying drawings the detailed description of the invention of the present invention is described further:
As it is shown in figure 1, be Ore Flows of the present invention, Caved ore body and the graph of a relation of Loose rock three.As in figure 2 it is shown, be
Non-pillar sublevel caving face schematic diagram of the present invention.One of the present invention determines that sublevel caving method without sill pillar collapses
The method of falling bodies form, is that similar ellipsoid lacks based on Ore Flows 2, Caved ore body 1 and Loose rock 3 three, and three's eccentricity is identical,
By calculating Caved ore body 1 volume and Caved ore body 1 three shaft length, finally determine that the height of Caved ore body 1, vertical route (i.e. return in Fig. 1
Adopt route 5) width in direction and the thickness along entry direction；Specifically comprise the following steps that
The first step, calculates by the volume Q of quick-fried ore bodyOre deposit；
If Stope Parameters height of lift is H, drift interval is L, ore caving interval is B, a width of m in cross section, tunnel, cross section, tunnel
A height of n；By the volume of quick-fried ore body it is then:
QOre deposit=B (H L-m n) formula 1
Second step, calculating limit coefficient of volumetric expansion KJX:
In formula: QDissipateBroken ore volume, m3；
GDissipateBroken ore gravity, N；
γDissipateBroken ore unit weight, N/m3；
GOre depositOre gravity, N；
γOre depositBy quick-fried ore body unit weight, N/m3；
Formula 2,3,4 simultaneous, then have:
Bore sample and broken ore in scene, at the unit weight γ of experimental determination broken oreDissipateAnd the appearance by explosion ore body
Weight γOre deposit, formula 5 obtain the limit coefficient of volumetric expansion K releasing an Ore prose style free from parallelismJX；
3rd step, calculates Caved ore body volume QCollapse:
QCollapse=Ks·QOre depositFormula 7
In formula: KsThe secondary coefficient of volumetric expansion；
KssThe second loosening coefficient, takes empirical value Kss=1.060～1.100；
4th step, solves three shaft lengths of Caved ore body 1:
Being obtained Caved ore body 1 by least energy consumption principle similar with Loose rock 3, the ellipsoid cut off by end wall lacks, according to putting
It is similar with Loose rock 3 that ore deposit theory understands Ore Flows 2, lacks by the ellipsoid cut off by end wall, therefore Caved ore body 1, Loose rock 3 and put
Go out body 2 three to lack for similar ellipsoid, and eccentricity is identical；Bottom-column-free sectional caving stoping method releases ellipsoid when using Side ore drawing
Lack, avalanche ellipsoid lacks and loosening ellipsoid lacks central axis and there is bias angle theta with end wall surface, i.e. axle drift angle, value is 2 °～5 °；Calculate
Avalanche ellipsoid lacks geometric volume QCollapseAs follows:
In formula: QCollapseCaved ore body volume, m3；
aCollapseThe major axis of Caved ore body, m；
bCollapseThe short axle in Caved ore body vertical extracting drift direction, m；
cCollapseCaved ore body is along the short axle in extracting drift direction, m；
Avalanche ellipsoid is lacked, it is known that its major axis is aCollapse, then
In formula: εbCaved ore body vertical entry direction eccentricity, 0 < εb<1；
εcCaved ore body is along entry direction eccentricity, 0 < εc<1；
Formula 7,9 is substituted into formula 8, obtains
Simultaneous formula 9,10, obtains Caved ore body three shaft length as follows:
5th step: determine the height of Caved ore body 1, the width in vertical extracting drift direction and the thickness along extracting drift direction
Degree；
Avalanche ellipsoid lacks central axis and there is axle bias angle theta with end wall surface, is converted to collapse by three shaft lengths of Caved ore body by θ
The height Z of falling bodies, the width X in vertical extracting drift direction and the thickness Y along extracting drift direction, such as following formula:
Caved ore body 1 form is by the height Z of Caved ore body, the width X in vertical extracting drift direction with along extracting drift direction
Thickness Y is described.
Caved ore body is under blast action, and the Pilling body of ore formed in loose covering layer 6, for the object of ore drawing.Root
According to least energy consumption principle " any power consumption process all will be carried out under its corresponding constraints in the way of minimum energy dissipation ",
When using non-pillar sublevel caving mining, Caved ore body 1 forming process is a power consumption process, and it is former that minimum energy dissipation is followed in its growth
Reason, Caved ore body 1 occurs in loosening spheroid, and for this, we can regard Caved ore body 1 as similar to Loose rock 3, puts in end
In ore deposit, lack by the ellipsoid cut off by end wall.Ore Flows 2 is understood similar with Loose rock 3, by being cut by end wall according to draw theory
The ellipsoid cut lacks, and therefore Ore Flows 2, Caved ore body 1 and Loose rock 3 three are that similar ellipsoid lacks, and eccentricity is identical.Oper cylinler divides
When section caved stopes uses Side ore drawing, releasing ellipsoid lacks, avalanche ellipsoid lacks and loosening ellipsoid lacks central axis and deposits with end wall surface
In drift angle, i.e. axle drift angle.
The ultimate principle of the present invention is: is determining on the basis of Caved ore body 1 lacks form for ellipsoid, is being joined by stope structure
Number is obtained by the volume of quick-fried ore body, and laboratory measurement calculates the limit coefficient of volumetric expansion；Further according to draw theory, by the second loosening system
Number takes an empirical value, calculates a coefficient of volumetric expansion in conjunction with the limit coefficient of volumetric expansion, by required by quick-fried ore body volume with once loose
Scattered coefficient determines Caved ore body volume.Avalanche ellipsoid is lacked, derives its volume computing formula by mathematics conversion, eccentricity will hang down
Straight gyrus is adopted entry direction minor axis length and is expressed as avalanche ellipsoid along extracting drift direction minor axis length and lacks the function of long axis length,
Substitute into cubature formula the Caved ore body volume obtained of combination, calculate the major axis of Caved ore body, the short axle in vertical extracting drift direction and
Along the short axle in extracting drift direction, it is called for short three axles, finally determines that the height of Caved ore body, the width in vertical extracting drift direction and edge are returned
Adopt the thickness of entry direction.
Following example are implemented under premised on technical solution of the present invention, give detailed embodiment and tool
The operating process of body, but protection scope of the present invention is not limited to following embodiment.In following embodiment, method therefor is as without special
Do not mentionlet alone and bright be conventional method.
[embodiment]
Certain iron mine application sublevel caving method without sill pillar is dug up mine, and stope structure parameter is as shown in table 1:
Certain iron mine stope structure parameter table of table 1
By the derivation of each step of the present invention, the form of Caved ore body is described, i.e. in conjunction with mine design parameter value
Ask the calculation Caved ore body height in this relevant work face, mine, the width in vertical extracting drift direction and the thickness along extracting drift direction
Degree.
The first step: determined by the volume Q of quick-fried ore body by formula 1Ore deposit:
QOre deposit=B (H L-b h)
=1.5 × (12 × 12-4 × 3.5)=195.000m3
Second step: determined limit coefficient of volumetric expansion K by formula 5JX:
Bore sample and broken ore in scene, at the unit weight γ of experimental determination broken oreDissipate=33640.301N/m3And
By the unit weight γ of explosion ore bodyOre deposit=40704.764N/m3。
The limit coefficient of volumetric expansion is obtained by formula 5:
3rd step: calculated Caved ore body volume Q by formula 8Collapse:
4th step: solved Caved ore body three shaft length by formula 11, take εb=0.386, εc=0.982.
5th step: determined the height Z of Caved ore body by formula 12, the width X in vertical extracting drift direction and along extracting drift
The thickness Y in direction, takes θ=5 °；
The above, the only present invention preferably detailed description of the invention, but protection scope of the present invention is not limited thereto,
Any those familiar with the art in the technical scope that the invention discloses, according to technical scheme and
Inventive concept equivalent or change in addition, all should contain within protection scope of the present invention.
Claims (1)
1. the method determining sublevel caving method without sill pillar Caved ore body form, it is characterised in that based on Ore Flows, Caved ore body and
Loose rock three is that similar ellipsoid lacks, and three's eccentricity is identical, by calculating Caved ore body volume and Caved ore body three shaft length,
Determine the height of Caved ore body, the width of vertical entry direction and the thickness along entry direction eventually；Specifically comprise the following steps that
The first step, calculates by the volume Q of quick-fried ore bodyOre deposit；
If Stope Parameters height of lift is H, drift interval is L, ore caving interval is B, a width of m in cross section, tunnel, cross section, tunnel are a height of
n；By the volume of quick-fried ore body it is then:
QOre deposit=B (H L-m n) formula 1
Second step, calculating limit coefficient of volumetric expansion KJX:
In formula: QDissipateBroken ore volume, m3；
GDissipateBroken ore gravity, N；
γDissipateBroken ore unit weight, N/m3；
GOre depositOre gravity, N；
γOre depositBy quick-fried ore body unit weight, N/m3；
Formula 2,3,4 simultaneous, then have:
Bore sample and broken ore in scene, at the unit weight γ of experimental determination broken oreDissipateAnd the unit weight by explosion ore body
γOre deposit, formula 5 obtain the limit coefficient of volumetric expansion K releasing an Ore prose style free from parallelismJX；
3rd step, calculates Caved ore body volume QCollapse:
QCollapse=Ks·QOre depositFormula 7
In formula: KsThe secondary coefficient of volumetric expansion；
KssThe second loosening coefficient, takes empirical value Kss=1.060～1.100；
4th step, solves three shaft lengths of Caved ore body:
Being obtained Caved ore body by least energy consumption principle similar with Loose rock, the ellipsoid cut off by end wall lacks, according to draw theory
Understanding Ore Flows similar with Loose rock, lack by the ellipsoid cut off by end wall, therefore Caved ore body, Loose rock and Ore Flows three are
Similar ellipsoid lacks, and eccentricity is identical；Bottom-column-free sectional caving stoping method use Side ore drawing time release ellipsoid lack, avalanche ellipsoid
Lack and loosening ellipsoid lacks central axis and there is bias angle theta with end wall surface, i.e. axle drift angle, value is 2 °～5 °；Calculate avalanche ellipsoid to lack
Geometric volume QCollapseAs follows:
In formula: QCollapseCaved ore body volume, m3；
aCollapseThe major axis of Caved ore body, m；
bCollapseThe short axle in Caved ore body vertical extracting drift direction, m；
cCollapseCaved ore body is along the short axle in extracting drift direction, m；
Avalanche ellipsoid is lacked, it is known that its major axis is aCollapse, then
In formula: εbCaved ore body vertical entry direction eccentricity, 0 < εb<1；
εcCaved ore body is along entry direction eccentricity, 0 < εc<1；
Formula 7,9 is substituted into formula 8, obtains
Simultaneous formula 9,10, obtains Caved ore body three shaft length as follows:
5th step: determine the height of Caved ore body, the width in vertical extracting drift direction and the thickness along extracting drift direction；
Avalanche ellipsoid lacks central axis and there is axle bias angle theta with end wall surface, by θ, three shaft lengths of Caved ore body is converted to Caved ore body
Height Z, the width X in vertical extracting drift direction and the thickness Y along extracting drift direction, such as following formula:
Caved ore body form is by the height Z of Caved ore body, the width X in vertical extracting drift direction and the thickness Y along extracting drift direction
It is described.
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107122542A (en) * | 2017-04-26 | 2017-09-01 | 北京科技大学 | The analogy method of the Loose rock, Ore Flows and the Mine-rock in Caving Method shape that are ruptured based on ore-rock |
| CN108397194A (en) * | 2018-02-23 | 2018-08-14 | 河北钢铁集团矿业有限公司 | The last stage casing ore body mining smooth transition method of sublevel caving method without sill pillar |
| CN110080772A (en) * | 2019-04-28 | 2019-08-02 | 抚顺罕王傲牛矿业股份有限公司 | The extracting drift method for arranging of gently inclined medium thick orebody sublevel caving method without sill pillar |
| CN110410078A (en) * | 2019-07-22 | 2019-11-05 | 武汉科技大学 | The low dilution recovery method in mine for sublevel caving method without sill pillar |
| RU2782909C1 (en) * | 2022-06-27 | 2022-11-07 | Федеральное государственное автономное образовательное учреждение высшего образования "Национальный исследовательский технологический университет "МИСиС" | Method for mining ore bodies |
| CN115839239A (en) * | 2022-12-16 | 2023-03-24 | 北京科技大学 | Method for reducing loss and dilution of non-pillar sublevel caving method by optimizing caving body morphology |
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Cited By (13)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107122542A (en) * | 2017-04-26 | 2017-09-01 | 北京科技大学 | The analogy method of the Loose rock, Ore Flows and the Mine-rock in Caving Method shape that are ruptured based on ore-rock |
| CN107122542B (en) * | 2017-04-26 | 2019-07-09 | 北京科技大学 | The analogy method of Loose rock, Ore Flows based on ore-rock rupture and Mine-rock in Caving Method shape |
| CN108397194A (en) * | 2018-02-23 | 2018-08-14 | 河北钢铁集团矿业有限公司 | The last stage casing ore body mining smooth transition method of sublevel caving method without sill pillar |
| CN110080772A (en) * | 2019-04-28 | 2019-08-02 | 抚顺罕王傲牛矿业股份有限公司 | The extracting drift method for arranging of gently inclined medium thick orebody sublevel caving method without sill pillar |
| CN110410078A (en) * | 2019-07-22 | 2019-11-05 | 武汉科技大学 | The low dilution recovery method in mine for sublevel caving method without sill pillar |
| CN110410078B (en) * | 2019-07-22 | 2020-09-22 | 武汉科技大学 | Mine low dilution mining method for sill pillar-free sublevel caving method |
| RU2782909C1 (en) * | 2022-06-27 | 2022-11-07 | Федеральное государственное автономное образовательное учреждение высшего образования "Национальный исследовательский технологический университет "МИСиС" | Method for mining ore bodies |
| RU2795784C1 (en) * | 2022-07-19 | 2023-05-11 | Николай Васильевич Дронов | Method of mining ore bodies |
| CN115839239A (en) * | 2022-12-16 | 2023-03-24 | 北京科技大学 | Method for reducing loss and dilution of non-pillar sublevel caving method by optimizing caving body morphology |
| CN115839239B (en) * | 2022-12-16 | 2024-06-11 | 北京科技大学 | Method for reducing loss and dilution of bottomless column sublevel caving method by optimizing caving body shape |
| RU2811904C1 (en) * | 2023-02-15 | 2024-01-18 | Николай Васильевич Дронов | Method for mining ore bodies |
| RU2806386C1 (en) * | 2023-05-25 | 2023-10-31 | Федеральное государственное автономное образовательное учреждение высшего образования "Национальный исследовательский технологический университет "МИСиС" | Method of mining ore bodies |
| RU2809848C1 (en) * | 2023-07-11 | 2023-12-19 | Федеральное государственное автономное образовательное учреждение высшего образования "Национальный исследовательский технологический университет "МИСиС" | Method of mining ore bodies |
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