CN103198213A - Method for evaluating performance of excavating plants - Google Patents
Method for evaluating performance of excavating plants Download PDFInfo
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Abstract
The invention discloses a scheme for evaluating the performance of excavating plants. The scheme is characterized in that the existing evaluation indexes are researched and basic shapes are subjected to feature analysis. According to the scheme, the regular degree of an over-excavating/under-excavating surface is represented by roundness (C); the dispersibility and the coverability of the over-excavating/under-excavating surface are represented by ductility (E); the equivalent depth of an over-excavating/under-excavating body is represented by hemisphere (H); and the performance of the excavating plant is overall evaluated by relative volume (Rv). The range of the four dimensionless index values, and the dividing semanteme and the numerical range of each index are determined. The established evaluation index system unifies the evaluation method, the evaluation indexes and the evaluation standard, so that comparison of the performance of the excavating plants of different scales is realized. The invention can effectively solve the problems that the result obtained by the conventional evaluation method is based on scale, the performance of the excavating plants of different scales cannot be compared and the shape feature of the over-excavating/under-excavating body cannot be taken into consideration, and can be widely applied to performance evaluation and performance comparison of the excavating plants.
Description
Technical field
The present invention relates to Open-pit performance evaluation in the mining engineering,
Particularly relate to Open-pit performance evaluation and comparative approach based on non-shape and yardstick.
Background technology
The performance evaluation of surface mining mining type is commonly considered as guaranteeing that yield is maximum and the rate of dilution is minimum for excellent.Therefore, the performance of open-pit judges by contrast actual output and scheduled production, and the factor that this decision process will be considered has the ageing of the taste of quality, exploitated ore of volume, the exploitation of exploitation and exploitation.Performance can be described according to geometric parameter and the physical quantity qualitative or objective quantivative approach by subjectivity.But present method can not be considered over-extraction and owe to adopt the influence of the geometry shape aspect that causes.The back analysis of open-pit performance is important for the ore dilution control procedure, can verify some hypothesis and definition geometric parameter etc. in the stope design phase as the understanding to the ore body mechanical mechanism.The present invention uses the new method based on non-yardstick to improve the super quantitative description of stope performance of owing.
More final production face and original design production face can provide the effective information of influence exploitation performance.More existing researchs are super, and to owe the pattern of adopting geometry shape, failure mode and influencing producing capacity as shown in table 1.
Table 1 surpasses feature and the potential failure mode thereof of owing territory, exploiting field geometric configuration
The planar distribution scope | The super degree of depth of owing | 3D shape | Potential failure mode |
The discrete type zone | Deeply | Polyhedron | Rock mass under the discontinuous condition control lost efficacy |
Extension type zone | Deeply | Toxoplasm | Circular rock mass lost efficacy, perhaps because the requirement of son stability is decomposed into toxoplasm |
Extension type zone | Shallow | Platysome | When production face was parallel with joint plane, fracture or the bedding of the dull and stereotyped rock mass of anisotropy lost efficacy |
The discrete type zone | Shallow | Non-rule body | Borehole deviation or big gun hole are tilted in the junction of rock mass, can produce potential explosion damage inactivation |
What the relative performance of judgement stope need be determined usually is super solid parameter of owing to adopt, as volume, scope and the degree of depth.But only use these parameters that enough super shape features of owing to adopt can not be provided, also need to consider position, trend, size and shape.Position and relative judgements of trend easily the present invention is directed to and surpass size and the shape of owing to adopt body and analyze, and are illustrated in conjunction with the measurement data of this two aspect.
Shape is to measure the most difficult parameter, because shape is to define according to the purpose of measuring, and also also different with regard to the dimension on the fractal geometry.Here the definition of size-shape is not considered that object space and corner are to the influence of this geometric data of bodies.Because as long as the size of two objects is identical with shape, so just coupling is fine, irrelevant with position and corner.
For a given object, with regard to shape, existing a lot of measuring method and describing method carry out quantitative test on the various geometry to it.Difficulty is how to find the feature that is suitable for the solid needs, and estimates method or the index of these geometry shapes or size.If only estimate shape, to design so and big or small incoherent form measuring method, this method should or not have the value representation of unit dimension by nondimensional number.For convenience of description, supposed a stope and over-extraction district here, and marked and hereinafter analyze used parameter, as shown in Figure 1.
The performance evaluation of existing quantitative open-pit is to use stope face zone and the super ratio of owing to adopt volume to analyze, and uses that the ELOS(equivalent linear is super owes to adopt model) and ELLO(equivalent linear loss model), suc as formula (1) and (2).
In the formula:
With
Be respectively over-extraction and owe to adopt volume,
It is the surface in a certain stope zone.
These two parameters change into the measurement of actual volume to the formed mean depth measurement of equal volume on whole stope face.The benefit of doing so at first is the quantitative measurment that can not rely on the width of stope to carry out over-extraction and owe to adopt, and namely can allow the stope performance of different width is compared.Compare with the experience design, using the benefit of ELOS is the digging mode that it can be more different.Secondly, provide the mensuration that is applicable to the stope production face, the performance of such two stope production face just can be done relatively.For a back purpose, these measuring methods are labeled on the stability diagram, and coordinate is for revising stability factor
And hydraulic radius (
HR), be formula (3) for the HR of dew stope size and shape.
The rock mass quality reduced when the hypothesis of dilution method was the increase of stope region area, and over-extraction also increases thereupon, can use the ELOS parameter to represent in this case.Being noted that its all result is that dimension is the parameter of yardstick in existing STOPE STABILITY quantivative approach (suc as formula 1 ~ 3) based on experience, all is the measuring method that relies on range dimension.ELOS and ELLO function parameters are the geometric area of over-extraction and the solid volume of owing to adopt and stope face.Therefore, change that be difficult to judge ELOS or ELLO is owing to superly owe to adopt the shape that causes or the change of size, or because the stope area causes that or the both has.Compare with HR, the measuring method of the shape of ELOS and ELLO or size or shape-size is not accurate enough, thereby has proposed at first to use shape to use the stope performance evaluation scheme of size then.For the complicated two-dimensional shape is analyzed, earlier basic configuration is studied, comprising: positive 3 ~ 10 limit shapes, circle, pentagram, and establish the length of side 1 (radius of a circle is 1).The correlation computations parameter is as shown in table 2.
The correlation parameter of table 2 basic configuration
Shape | Positive 3 |
4 | 5 | 6 | 7 | 8 | 9 | 10 | Cruciform | Circle | Pentagram |
3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 1 | 10 | |
3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 6.28 | 10 | |
0.4330 | 1.0000 | 1.7205 | 2.5981 | 3.6339 | 4.8284 | 6.1818 | 7.6942 | 5 | 3.14 | 2.0763 | |
0.2618 | 0.7854 | 1.4879 | 2.3562 | 3.3866 | 4.5776 | 5.9287 | 7.4394 | 6.2832 | 3.14 | 0.8478 | |
1.0472 | 1.5708 | 2.2733 | 3.1416 | 4.1720 | 5.3630 | 6.7141 | 8.2248 | 31.4159 | 3.14 | 5.8107 | |
C | 0.6046 | 0.7854 | 0.8648 | 0.9069 | 0.9319 | 0.9481 | 0.9590 | 0.9669 | 0.4363 | 1.000 | 0.2609 |
0.5513 | 1.2732 | 2.1906 | 3.3080 | 4.6268 | 6.1477 | 7.8709 | 9.7965 | 0.1989 | 0 | 0.4184 |
Summary of the invention
At estimating the problem that the stope performance exists, the present invention propose one group with the irrelevant evaluation index of yardstick and the appraisement system scheme as evaluation open-pit performance.
The purpose that invention will reach is to form one to overlap three unified appraisement systems, various surpassing owes to adopt body yardstick shape thereby adapt to, and can be formed with the result of mutual relative value.Assessment indicator system by: circularity (
C), ductility (
E), the hemisphere degree (
H) and relative volume (
Rv) form, introduce each index below in detail.
1 circularity
Super on whole predetermined stope face owes to adopt volume and has the separatrix at the stope face.This separatrix may be closed, also may extend beyond predetermined production face border.The separatrix of studying among the present invention be in predetermined stope face border, formed the polygonal girth of closed geometry (
P).Though what closed curve formed is complicated polygon, (be called for short " circularity ") method is described this polygon together down to use equivalent circularity here.As shown in Equation 4.The classification of circularity is as shown in table 3.
In the formula: A and P are respectively the super polygonal area in exploiting field and the girths (closed separatrix) owed.
The classification of table 3 circularity
Classification | Irregular or discontinuous | Irregular | Polygon | Nearly circle |
Circularity ( C) | 0~0.2 | 0.2~0.5 | 0.5~0.8 | 0.8~1 |
The reason that makes up this method is the measuring method with respect to axial ratio, the length of side or path length, and this method is relative simple in the measurement of area and girth, especially for irregularly shaped.Polygonal shape can be used and the similarity degree of circle is described, and it can represent the level of coverage of shape, is defined as tight ness rating, as 5 formulas:
In the formula:
Be the area of minimum circumscribed circle,
The area of maximum inscribed circle,
It is polygonal area.
Though measurement polygon geometric surface circularity and compactedness are provided, can only use separately fully closed in shape.The characteristics of the two-dimentional geometrical shape that some are basic are described by the roundness measurement method of regulation, and carry out the comparison of area and compactedness with polygon that limit is separately formed, as shown in Figure 2.Usually the circularity of convex polygon rises along with the increase of limit number, the unlimited circularity 1 that approaches circle, and the circularity of concave polygon descends along with the increase of limit number.Circularity increases when shape becomes more closely as shown in Figure 3.
Owe to adopt the similarity proposition formula (6) of shape and stope face shape for the over-extraction that utilizes circularity to describe two dimension.
In the formula:
Be the over-extraction shape circularity (
Be the circularity of owing to adopt),
Be the circularity of stope surface configuration.When
Near 1 o'clock, illustrate that shape is similar.
2 ductilities
For the area of estimating two-dimentional over-extraction or owe to adopt accounts for the size of whole stope face area, introduce ductility as the formula (7).
The more big over-extraction zone that shows of ductility has covered most of stope face, and continuous relatively; More for a short time, show that the area of covering is little, and disperse relatively.For the shape stope face similar with size, can provide relative measuring method to over-extraction face size.Fig. 4 has shown the distribution of circularity and the ductility of various over-extraction shapes.Wholely super owe to adopt area and girth is used for calculating circularity, and circularity can mark according to ductility, and show that the super position of owing to adopt the face shape of the two dimension that similar shape and relative size are arranged distributes.The classification of ductility is as shown in table 4.
The classification of Fig. 4 ductility
Classification | The utmost point disperses, covers low | Concentrate, cover low | The coverage rate height | All standing |
Ductility ( E) | 0~0.2 | 0.2~0.4 | 0.4~0.7 | 0.7~1 |
3 three dimensional analysis---semicircle degree
Replace the rock mass of traditional size-shape to describe, introduce equivalent spherical diameter (
ESR), carry out analogy with rock mass surface area and volume and radius of sphericity, do equivalent process.
ESRDefinition is suc as formula (8) and (9).
Two
ESRFormula is identical for the value of same circle.
ESRValue derive from surface area and the volume of rock mass, so he can provide the irrelevant evaluation of the size of rock mass shape.For make up with
ESRSimilar rock shape index is estimated over-extraction or is owed to adopt the rock shape, consider the analysis of landslide surface stability, circular sliding surface stable higher, so replace spheroid with hemisphere, being more suitable for so simultaneously hemispheroidal plane bedding area or area coverage and hemispheroidal volume are compared, is equivalent hemisphere radius with this index definition
HER, suc as formula (10) and (11):
In the formula:
Be the bedding area, V is the hemisphere volume, and this volume is to be formed by the radius that formula (10) is determined.
According to
HERDefinition, its evaluation still will depend on yardstick.In order to define an evaluation index simple and that yardstick is irrelevant 3D shape with respect to hemisphere is described, definition hemisphere degree (
H), suc as formula (12).
In the formula:
Be the super section volume of owing to adopt,
It is the super area in territory, exploiting field of owing.
In order to use the hemisphere degree as super three-dimensional nondimensional evaluation index of owing to adopt shape, define for over-extraction
,
,
For owing to adopt definition
,
,
Hemisphere degree and volume ratio are discussed below
Relation, geometric mould as shown in Figure 5, derivation is as the formula (13).
(13)
Because
All be the proportionate relationship of equivalence, according to
Analytic expression, in the unit hemisphere, discuss, establish
, then
,
With
Corresponding relation as shown in Figure 6.
Fig. 6 as can be seen,
With
Relation be not linear, so owe to adopt super classification of owing to adopt the degree of depth in the volume to use the hemisphere degree also be non-linear correspondence as evaluation criterion super.Classification and corresponding relation are as shown in table 4.
Table 4 surpasses the classification of owing to adopt the degree of depth
Classification | Can ignore | Shallow | Moderate | Deeply |
Volume ratio ( Rv) | 0~0.1 | 0.1~0.25 | 0.25~0.5 | 0.5~1 |
The hemisphere degree ( H) | 0~0.15 | 0.15~0.32 | 0.32~0.6 | 0.6~1 |
In fact the hemisphere degree is equivalent to the radius of equivalence, the super degree of depth of owing the exploiting field of expression.It has also illustrated to a certain extent, and super 3D shape of owing to adopt is with two-dimentional super to owe to adopt the overlay area relevant.When the shape of two-dimentional overlay area was very long or irregular, its circularity and hemisphere degree descended, as shown in Figure 4.
4 relative volumes
Do not consider the size of two stope over-extraction bodies, for can performance evaluation that judge a stope over-extraction body provide Useful Information for other stope analysis, relatively relative shape and over-extraction district are to the coverage rate of stope.Intuitively, the over-extraction zone is arc and covered whole stope face downwards, and this shows that the stope performance is bad; If the over-extraction zone is thin flat arc and only covered the sub-fraction of stope face, is preferably with respect to the previous case so.In order to utilize the relative extent of ductility and two stope performances of hemisphere degree index evaluation situation.Definition relative volume index is suc as formula (14).
(14)
5 relative volumes and stope performance classification
With the irrelevant situation of stope scope under, relative volume can quantitative test and is divided stope performance subclass.Stope performance classification based on relative volume is as shown in table 5.The restrictive condition of concrete mining site on economy and output do not considered in this classification, only is explanation.
The relation of Fig. 5 relative volume and stope performance
|
0~0.02 | 0.02~0.04 | 0.04~0.1 | 0.1~0.25 | 0.25~0.6 | 0.6~1 |
Performance classification | Very good | Good | Generally | Bad | Very bad | Can't use |
Description of drawings
Fig. 1 model parameter synoptic diagram.
The circularity of Fig. 2 basic configuration and polygon limit number distribute.
Annotate: the regular polygon that surpasses 4 limits among the figure is represented with square.
The circularity of Fig. 3 basic configuration and tight ness rating distribute.
Annotate: the regular polygon that surpasses 4 limits among the figure is represented with square.
The circularity of the various over-extraction shapes of Fig. 4 and the distribution of ductility.
Annotate: for convenience of calculation, stope and over-extraction shape are all got polygon or circle among the figure.
How much derivation graphs of Fig. 5 hemisphere degree and volume ratio relation.
Fig. 6
With corresponding relation figure.
Fig. 7 simplifies stope model synoptic diagram.
Embodiment
For above-mentioned purpose of the present invention, feature and advantage are become apparent more, the present invention is further detailed explanation below in conjunction with the correlation theory that uses and embodiment.
For convenience of description, actual stope is carried out abstract, respectively three stopes are estimated (be that example describes with the over-extraction, owe to adopt in like manner), as shown in Figure 7.Relevant basic parameter and evaluation index, as shown in table 6 through aforementioned formula result of calculation.
The basic parameter of each stope of table 6 and evaluation index
Implying abundant information in the table 6.At evaluation index
C,
E,
HWith
RvThe result, carry out performance specification according to table 1 couple A, B, C and D stope, as shown in table 7.
Table 7 is estimated geometric characteristic and the potential failure mode thereof of stope
Can understand super owe the to adopt geometric properties of volume shape and the corresponding relation that the ground body destroys by existing research.Analyzed the feature of some basic configurations as the basis of research, summed up
C,
E,
HWith
RvFour dimensionless indexs that can represent the stope performance are set up index system, and it has been carried out classification and numerical division.Pass through the evaluation to A, B, C and four the stope performances of implementing of D at last, obtained four index evaluation results of four stopes.According to these results the failure mode of four stopes has been carried out the judgement of losing efficacy.The result shows that the method for using the present invention to propose is reasonably to open-pit performance evaluation, and having solved existing evaluation method can't be to over-extraction and owe to adopt the problem that the influence of the geometry shape aspect that causes is quantitatively described, and has tangible actual application value.
Claims (11)
1. method of estimating the open-pit performance,
It is characterized in that, Study existing evaluation index, the basic configuration feature is analyzed, the basic configuration feature comprises: circular feature, triangle character, line segment feature, quadrilateral feature, pentagon feature, hexagonal features, the heptagon feature, octagon feature, nonagon feature, decagon feature; Proposition circularity (
C) the super regular degree of owing the face of adopting of expression; The proposition ductility (
E) super dispersiveness and the spreadability of owing the face of adopting of expression; Proposition with the hemisphere degree (
H) the super equivalent depth of owing to adopt body of expression; The proposition relative volume (
Rv) overall assessment stope performance; The scope of these four dimensionless index values and division semanteme and the numerical range thereof of each index have been determined.
2.
The method of evaluation open-pit performance according to claim 1 is characterized in that, Described four dimensionless indexs are: circularity, ductility, semicircle degree, relative volume; Division semanteme and the numerical range (concrete scope is what will be pointed out) thereof of the scope of dimensionless index value and each index.
3.
Method according to the described evaluation open-pit of claim 2 performance is characterized in that, Described circularity, super on whole predetermined stope face owes to adopt volume and has the separatrix at the stope face, this separatrix may be closed, also may extend beyond predetermined production face border, related separatrix be in predetermined stope face border, formed the polygonal girth of closed geometry (
P), use the method for equivalent circularity to describe this polygon, be shown below:
4.
Method according to the described evaluation open-pit of claim 2 performance is characterized in that, Being categorized as of described circularity: circularities is at 0 ~ 0.2 o'clock and is categorized as " irregular or discontinuous "; Circularities is at 0.2 ~ 0.5 o'clock and is categorized as " irregular "; Circularities is at 0.5 ~ 0.8 o'clock and is categorized as " polygon "; Circularities is to be categorized as " nearly circle " at 0.8 ~ 1 o'clock.
5.
Method according to the described evaluation open-pit of claim 2 performance is characterized in that, Described ductility is in order to estimate that two dimension is backbreak or the area owing to dig accounts for the size of whole stope face area, ductility (
E) be shown below:
6.
Method according to the described evaluation open-pit of claim 2 performance is characterized in that, The more big over-extraction zone that shows of described ductility has covered most of stope face, and continuous relatively; Described ductility is more for a short time to show that the area of covering is little, and relatively disperses, and for shape and big or small similar stope face, can provide relative measuring method to over-extraction face size, being categorized as of ductility: ductility value is at 0 ~ 0.2 o'clock and is categorized as " utmost point dispersion "; Ductility value is at 0.2 ~ 0.4 o'clock and is categorized as " concentrating "; This two classes situation of " utmost point dispersion " and " concentrating " all belongs to " coverage rate is low "; Ductility value is at 0.4 ~ 0.7 o'clock and is categorized as " coverage rate height "; Ductility value is at 0.7 ~ 1 o'clock and is categorized as " all standing ".
7.
Method according to the described evaluation open-pit of claim 2 performance is characterized in that, Described semicircle degree is to describe 3D shape with respect to hemisphere in order to define an evaluation index simple and that yardstick is irrelevant, propose the hemisphere degree (
H), as shown in the formula:
8.
Method according to the described evaluation open-pit of claim 7 performance is characterized in that, Described semicircle degree calculates hemisphere degree and volume ratio
Relation, process as shown in the formula:
Because
All be the proportionate relationship of equivalence, according to
Analytic expression, in the unit hemisphere, discuss, establish
, then
,
With
Relation be not linear, so owe to adopt super classification of owing to adopt the degree of depth in the volume to use the hemisphere degree also be non-linear correspondence as evaluation criterion super.
9.
The method of described evaluation open-pit performance is characterized in that according to Claim 8, Described hemisphere degree and volume ratio
Relation, classification and corresponding relation are categorized as: volume ratio be in 0 ~ 0.1 and the hemisphere degree be at 0 ~ 0.15 o'clock and be categorized as " can ignore "; Volume ratio be in 0.1 ~ 0.25 and the hemisphere degree be at 0.15 ~ 0.32 o'clock and be categorized as " shallow "; Volume ratio be in 0.25 ~ 0.5 and the hemisphere degree be at 0.32 ~ 0.6 o'clock and be categorized as " moderate "; Volume ratio be in 0.5 ~ 1 and the hemisphere degree be at 0.6 ~ 1 o'clock and be categorized as " deeply ", in fact the hemisphere degree is equivalent to the radius of equivalence, the super degree of depth of owing the exploiting field of expression, it has also illustrated to a certain extent, super 3D shape of owing to adopt is with two-dimentional super to owe to adopt the overlay area relevant.
10.
Method according to the described evaluation open-pit of claim 7 performance is characterized in that, Described relative volume is not considered the size of two stope over-extraction bodies, in order to judge the performance of a stope over-extraction body, can analysis provide Useful Information for other stope analysis, adopt relative shape and over-extraction district to the coverage rate of stope, criterion is: the over-extraction zone is arc and covered whole stope face downwards, and this shows that the stope performance is bad; If the over-extraction zone is thin flat arc and only covered the sub-fraction of stope face, be preferably with respect to the previous case so, in order to utilize the relative extent of ductility and two stope performances of hemisphere degree index evaluation situation, definition relative volume index is shown below:
11.
Method according to the described evaluation open-pit of claim 1 performance is characterized in that, Described relative volume and stope performance classification with the irrelevant situation of stope scope under, relative volume can quantitative test and is divided stope performance subclass, and based on stope performance classification standard such as the following table of relative volume be: relative volume is in 0 ~ 0.02 o'clock performance classification and is " very good "; Relative volume is in 0.02 ~ 0.04 o'clock performance classification and is " good "; Relative volume is in 0.04 ~ 0.1 o'clock performance classification and is " generally "; Relative volume is in 0.1 ~ 0.25 o'clock performance classification and is " bad "; Relative volume is in 0.25 ~ 0.6 o'clock performance classification and is " very bad "; Relative volume is in 0.6 ~ 1 o'clock performance classification and is " can't use ".
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CN110174085B (en) * | 2019-04-26 | 2021-06-04 | 长沙迪迈数码科技股份有限公司 | Method and device for obtaining grade of reclaiming element of long mine storage yard and storage medium |
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