CN116542031B - Slope angle determining method and system for strip mine - Google Patents

Slope angle determining method and system for strip mine Download PDF

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CN116542031B
CN116542031B CN202310432848.0A CN202310432848A CN116542031B CN 116542031 B CN116542031 B CN 116542031B CN 202310432848 A CN202310432848 A CN 202310432848A CN 116542031 B CN116542031 B CN 116542031B
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胥孝川
叶鲁青
顾晓薇
王青
朱振国
赵昀奇
刘思懿
赵玉琪
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东北大学
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Abstract

The invention discloses a slope angle determining method and system for an open pit mine, and relates to the technical field of open pit mine exploitation, wherein the method comprises the steps of determining corresponding slope safety coefficients according to probability distribution of rock mechanical parameters; according to the slope safety coefficient, establishing a slope risk assessment model under different slope angle conditions based on a reliability theory; determining boundary design critical values according to geological data and economic and technical parameters; according to the boundary design critical value, delineating the final boundary rock volume of the strip mine by adopting a cross section method; determining the stripping amount of waste rock of unit resource according to the final boundary rock amount of the strip mine; determining a supporting scheme and corresponding supporting engineering quantity under the condition that the slope stability analysis result is stable; and determining an optimal slope angle according to the slope stability analysis result, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting scheme. The invention can determine the slope angle which simultaneously meets the requirements of less waste rock stripping amount and safe slope.

Description

Slope angle determining method and system for strip mine
Technical Field
The invention relates to the technical field of strip mine mining, in particular to a slope angle determining method and system for a strip mine.
Background
The design of the final slope angle of the strip mine is directly related to the stripping amount and the safety degree of the waste rock of the mine. Generally, the larger the slope angle is, the smaller the mine rock is stripped, and the poorer the safety is. Therefore, under the condition of fully utilizing resources, how to obtain a final slope angle which is small in waste rock stripping amount and safe in slope is important. The final slope angle of the traditional strip mine is determined according to investigation research results and by taking mining technology into consideration, and then final boundary demarcation is carried out according to the designed final slope angle and the value of technical and economic parameters, so that the optimal boundary under the natural safety condition of the slope is obtained. In order to find the limit balance condition, many expert students study the steepest side slope under the natural stability condition through various numerical simulation and theoretical deduction, such as a circular arc sliding method, a finite element numerical analysis method, a limit analysis method, a stripe division method, a finite difference numerical analysis method, a fuzzy random analysis based on probability and other nondeterministic analysis methods.
Theoretically, it is safe to produce a slope angle designed under extreme equilibrium conditions, and when the angle is slightly increased, for example by 0.1 degrees, the slope will run the risk of landslide. Under the limit balance condition, the steep slope can reduce the rock stripping amount (stripping ratio), especially the steep open slope, generates huge economic benefit, and simultaneously brings great slope instability risk, and a large amount of projects are needed to be input for slope maintenance in order to ensure the mine safety production.
Therefore, there is a need for a slope angle determination method or system for strip mines that ensures both low waste rock stripping and slope safety.
Disclosure of Invention
The invention aims to provide a slope angle determining method and system for an open pit mine, which can determine slope angles which simultaneously meet the requirements of less waste rock stripping amount and slope safety.
In order to achieve the above object, the present invention provides the following solutions:
a slope angle determination method for a strip mine, comprising:
according to geological data of the strip mine to be analyzed, rock mass mechanics experiments are adopted to determine rock mass mechanics parameters;
determining corresponding side slope safety coefficients according to probability distribution of rock mechanical parameters;
according to the slope safety coefficient, establishing a slope risk assessment model under different slope angle conditions based on a reliability theory; the slope risk assessment model is used for determining the slope landslide risk probability; the slope landslide risk probability is used for determining a slope stability analysis result;
determining boundary design critical values according to geological data and economic and technical parameters; the economic and technical parameters comprise: ore cost, rock stripping cost, ore dressing cost, concentrate price, concentrate grade, geological grade and comprehensive recovery rate;
according to the boundary design critical value, delineating the final boundary rock amount of the strip mine under different slope angles by adopting a cross section method;
determining the stripping amount of waste rock per unit resource under different slope angles according to the final boundary rock amounts of the strip mine under different slope angles;
under the condition that the analysis result of the slope stability is stable, determining supporting schemes and corresponding supporting engineering quantities under different slope angles;
and determining the optimal slope angle according to the slope stability analysis results corresponding to the supporting schemes under different slope angles, the stripping amount of waste rock per unit resource and the supporting engineering amount.
Optionally, the building of the slope risk assessment model under different slope angles based on the reliability theory according to the slope safety coefficient specifically includes:
determining slope section calculation models under different slope angles;
determining a slope safety coefficient according to slope profile calculation models under different slope angle conditions;
and establishing slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient.
Optionally, determining the boundary design critical value according to the geological data and the economic and technical parameters specifically includes:
using formula R b ＝[g o rq/g p -(C m +C p )]/C w Determining a boundary design critical value;
wherein R is b Design critical value g for boundary o The final product of mine enterprises is concentrate, the geological grade of ore bodies, g p Is the concentrate grade, q is the selling price of the concentrate grade, C w Is the unit rock stripping cost, C m Cost per unit of mining, C p And r is the comprehensive recovery rate of the mining and dressing.
Optionally, the final boundary rock amount of the strip mine under different slope angles is defined by adopting a cross-section method according to the boundary design critical value, and the method specifically comprises the following steps:
determining an optimal position according to the boundary design critical value;
and (3) delineating the ore quantity and rock quantity in a closed ring formed by the optimal position and the earth surface by adopting a cross section method, and further determining the final boundary rock quantity of the strip mine under different slope angles.
Optionally, the determining the stripping amount of the waste rock per unit resource under different slope angles according to the final boundary rock amount of the strip mine under different slope angles specifically comprises the following steps:
using the formulaDetermining the stripping amount of waste rock per unit resource under different slope angles;
wherein,is the stripping amount of waste rocks per unit resource, +.>For slope angle->To be at slope angle->Ore quantity below->To be at slope angle->Amount of rock below.
Optionally, the determining the supporting scheme and the corresponding supporting engineering quantity under different slope angles under the condition that the slope stability analysis result is stable specifically includes:
using the formulaDetermining the supporting engineering quantity;
wherein,to be at slope angle->Lower support engineering quantity,/->To be at slope angle->Lower support scheme->To be at slope angle->Lower support area, < ->To be at slope angle->Type of support material below, T [ sic ]]The model is a support engineering quantity function model.
Optionally, the determining the optimal slope angle according to the slope stability analysis result, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting scheme under different slope angles specifically includes:
using the formulaDetermining an optimal slope angle;
wherein,is the optimal scheme under the condition of optimal slope angle, P f For slope instability probability, ++>To be at slope angle->Lower support engineering quantity,/->Is the stripping amount of waste stone as unit resource, ψ [ []And selecting a function for the optimal scheme.
A slope angle determination system for a strip mine, comprising:
the rock mass mechanical parameter determining module is used for determining rock mass mechanical parameters by adopting a rock mass mechanical experiment according to geological data of the strip mine to be analyzed;
the slope safety coefficient determining module is used for determining corresponding slope safety coefficients according to probability distribution of rock mass mechanical parameters;
the slope risk assessment model building module is used for building slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient; the slope risk assessment model is used for determining the slope landslide risk probability; the slope landslide risk probability is used for determining a slope stability analysis result;
the boundary design critical value determining module is used for determining a boundary design critical value according to geological data and economic and technical parameters; the economic and technical parameters comprise: ore cost, rock stripping cost, ore dressing cost, concentrate price, concentrate grade, geological grade and comprehensive recovery rate;
the strip mine final boundary rock quantity determining module is used for defining the strip mine final boundary rock quantity under different slope angles by adopting a cross section method according to the boundary design critical value;
the unit resource waste rock stripping amount determining module is used for determining the unit resource waste rock stripping amount under different slope angles according to the final boundary rock amounts of the strip mine under different slope angles;
the support engineering quantity determining module is used for determining support schemes and corresponding support engineering quantities under different slope angles under the condition that the slope stability analysis result is stable;
the optimal slope angle determining module is used for determining the optimal slope angle according to the slope stability analysis results, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting schemes under different slope angle conditions.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
according to the slope angle determining method and system for the strip mine, slope risk assessment models under different slope angles are established based on a reliability theory according to the slope safety coefficient, and slope landslide risk probabilities under different slope angles are obtained; according to the final boundary scheme design under different slope angle conditions, obtaining boundary ore quantity and rock quantity, and further determining the stripping quantity of waste rock per unit resource under different slope angle conditions; under the condition that the analysis result of the slope stability is stable, determining supporting schemes and corresponding supporting engineering quantities under different slope angles; comprehensively evaluating the resource efficiency of the final boundary and the corresponding supporting engineering quantity under different slope angles to obtain a scheme with the maximum resource utilization efficiency under the safety condition, namely the optimal upper leather angle. The invention can determine the slope angle which simultaneously meets the requirements of less waste rock stripping amount and safe slope.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of a slope angle determining method for a strip mine provided by the invention;
FIG. 2 is a schematic diagram of a slope angle determining method for a strip mine according to the present invention;
FIG. 3 is a schematic diagram of a strip mine slope design;
FIG. 4 is a schematic diagram of determining rock mass in cross section.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide a slope angle determining method and system for an open pit mine, which can determine slope angles which simultaneously meet the requirements of less waste rock stripping amount and slope safety.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
According to the traditional design scheme of the final boundary of the strip mine, the final boundary slope is shown as a black solid line in the figure under the natural safety condition, and the scheme is the optimal way for resource exploitation under the safety condition. When the slope (side slope) angle is steeped in this state as shown in the "slope steepening scheme I", a large amount of rock peeling can be reduced; however, in order to ensure the production safety, a large amount of supporting work is needed to support the side slope; likewise, the slope angle may be further steeped to the "slope steepening scheme II" position. The mining effect of the traditional design scheme is good, or the scheme of adding steep side slope through supporting is good, and comprehensive evaluation is needed through boundary design, side slope supporting, side slope stability simulation, resource efficiency (waste rock stripping amount of unit ore) and the like.
As shown in fig. 1 and fig. 2, the slope angle determining method for the strip mine provided by the invention comprises the following steps:
s101, determining rock mechanical parameters by adopting rock mechanical experiments according to geological data of the strip mine to be analyzed.
The geological data of the strip mine to be analyzed are obtained by: and the method comprises the steps of rock mass investigation data acquisition, hydrogeostatistics, strip mine geological topography, profile, mining floor plan, mining design, mining end plan and other relevant design data.
The rock mass mechanics experiment comprises: in situ experiments and in-house experiments.
As a specific example, various mechanical parameters of the rock mass including compression resistance, tensile strength, cohesion, internal friction angle, elastic modulus, poisson ratio and the like of the rock mass are obtained through in-situ experiments and indoor experiments, and are subjected to reduction treatment to determine the rock mass mechanical parameters of the side slope.
S102, determining corresponding side slope safety coefficients according to probability distribution of rock mass mechanical parameters.
S103, establishing slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient; the slope risk assessment model is used for determining the slope landslide risk probability; the slope landslide risk probability is used for determining a slope stability analysis result.
S103 specifically comprises the following steps:
and determining slope section calculation models under different slope angle conditions.
The slope profile calculation model determination process comprises the following steps:
the slope risk assessment is carried out according to slope subareas, the slope subareas are further determined on the basis of engineering geological subareas, typical sections are selected according to the slope subareas, reasonable angles of step slope angles of all rock strata are determined by considering factors such as lithology, inclination angle of rock strata, inclination angle of structural planes, a penetrating explosion method and the like, and the angles of final slope angles are adjusted by changing the step slope angles, the width of a safety platform and the like, so that slope section calculation models under different slope angles are obtained.
And determining the slope safety coefficient according to slope profile calculation models under different slope angles.
And establishing slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient.
For slope engineering, many factors affecting slope stability, such as cohesion, internal friction angle, elastic modulus, poisson' S ratio, etc., can be summarized as sliding force (moment) S and anti-sliding force (moment) R.
Based on the analysis of the earlier geological data, qualitative analysis methods such as a graphic method, an engineering geological analogy method and the like are adopted to preliminarily judge the damage mode, the mechanical mechanism of instability and the like of the slope of the strip mine so as to select a proper calculation method to calculate the slope safety coefficient.
In slope engineering, it is generally customary to use a safety factor F to reflect the functional requirements of the structure. The safety factor is defined as:
for broken rock mass slopes and discrete medium slopes, when the breaking mode is arc-shaped breaking, a simplified Picozop method and Morganlstein-Prussian Lai Sifa are adopted to calculate stability;
when the damage mode is composite damage, a Morgan-Prussian Lai Sifa and unbalanced thrust transmission method are preferably adopted for stability calculation;
for block rock mass slopes and lamellar rock mass slopes, when the damage mode is composite damage or broken line damage, a salma method and an unbalanced thrust transmission method are adopted to calculate stability; the wedge-shaped damage mode slope formed by cutting two or more groups of structural surfaces is preferably calculated by adopting a wedge method.
The traditional mine slope stability evaluation is mainly determined by design safety factors, and the variability of rock mechanical parameters in space is not considered, so that the safety factors of some mine slopes are larger than the stability safety factors, but landslide phenomenon also occurs. Therefore, the reliability analysis method based on probability analysis can better reflect the real situation of the rock-soil parameters. The slope risk assessment method based on the reliability theory establishes the following steps under different slope angles:
it is assumed that factors affecting strip mine slope engineering can be expressed as a plurality of random variables X 1 ,X 2 ,…,X m (including the angle of the slopeAnd the geological factors of the nature, geological structure, rock mass structure and the like constituting the slope rock mass), the functional function is defined on the basis of the existing safety coefficient:
Z＝F(X 1 ,X 2 ,…,X m )-1。
the corresponding limit state equation is:
Z＝F(X 1 ,X 2 ,…,X m )-1＝0。
wherein Z reflects the running state of the slope, when Z>0 side slope is in a safe state, when Z<The 0 side slope is in a landslide state, and when Z=0 side slope is in a limit state; f (X) 1 ,X 2 ,…,X m ) Indicating that the safety factor F is an influencing factor X i Is a function of (2).
Selecting a proper reliability analysis method to calculate a reliability index of the side slope, wherein the reliability index beta is as follows:
wherein mu is Z 、μ F Respectively the average value of the Z value and the safety coefficient; sigma (sigma) Z 、σ F The standard deviation of the Z value and the safety factor, respectively.
If the safety coefficient is compliant with standard normal distribution, the slope instability probability is:
wherein phi is a standard normal distribution function; p (P) f Is a failure probability, is a plurality of geological factors and slope anglesIs a function of (2); mu (mu) lnF 、σ lnF The safety coefficient is respectively the average value and standard deviation after logarithm.
And obtaining engineering target reliability or acceptable instability probability through a calibration method and an engineering analogy method, and obtaining an instability state when the calculated reliability index of the slope is smaller than the target reliability or the calculated instability probability is larger than the acceptable instability probability. And for the unstable slope, the required reinforcement force T can be calculated, and a reliable reinforcement mode and reinforcement parameters are designed.
S104, determining a boundary design critical value (economic and reasonable stripping ratio) according to geological data and economic and technical parameters; the economic and technical parameters comprise: ore cost, rock stripping cost, ore dressing cost, concentrate price, concentrate grade, geological grade and comprehensive recovery rate.
S104 specifically comprises:
using formula R b ＝[g o rq/g p -(C m +C p )]/C w A boundary design threshold is determined.
Wherein R is b Design critical value g for boundary o The final product of mine enterprises is concentrate, the geological grade of ore bodies, g p Is the concentrate grade, q is the selling price of the concentrate grade, C w Is the unit rock stripping cost, C m Cost per unit of mining，C p And r is the comprehensive recovery rate of the mining and dressing.
S105, designing a critical value according to the boundary, and delineating the final boundary rock mass of the strip mine under different slope angles by adopting a cross section method.
S105 specifically includes:
the optimal position is determined based on the boundary design threshold.
And (3) delineating the ore quantity and rock quantity in a closed ring formed by the optimal position and the earth surface by adopting a cross section method, and further determining the final boundary rock quantity of the strip mine under different slope angles.
The following is described by way of a specific example:
firstly, drawing a line segment ab equal to the minimum bottom width from the lower disc of the ore body to the upper disc at any depth on the cross section (figure 2);
then from two ends of the line segment, according to the slope angle under the limit balance condition determined in the third step(α and β), rays aa 'and bb' are made upward, intersecting the surface;
based on the level of the ab line segment, abb 'a' is moved up or down in the whole along the ore body lower disc to a step height in the vertical height, such as the position of cdd 'c' in fig. 1, and the rock quantity to ore quantity ratio R between abb 'a' and cdd 'c' is calculated i (incremental stripping ratio):
R i ＝(ΔW 1 +ΔW 2 )/ΔO。
if R is i >R b I.e. the incremental stripping ratio is greater than the economic and reasonable stripping ratio, cdd ' c ' moves the whole up or down by a step height along the ore body lower disc in the vertical height to obtain eff ' e ', and calculates the rock quantity to ore quantity ratio R between eff ' e ' and cdd ' c i If greater than R b The upward movement is continued, otherwise the movement is stopped. If the rock mass to ore mass ratio R between abb ' a ' and cdd ' c i Less than R b Then move downward.
When moving in a certain directionThe optimum position is in the last moving range, for example, the ratio of the up-moving times is small or the ratio of the down-moving times is large, at this time, the step height can be moved in the opposite direction by half, then the ratio of the rock amount to the ore amount is calculated, and when the ratio is smaller than the economic reasonable stripping ratio (R b ) And moving down by 1/4 step height, and if the ratio is larger than the economic reasonable stripping ratio, moving up by 1/4 step height. This process can be repeated until the height of a certain movement is small enough (this can be the better the smaller the height of the movement, depending on the ore type, if noble), generally the best position can be approximately considered to be found at a height of 1-2 m.
When the optimal position is found, the ore quantity O and the rock quantity W in a closed loop formed by the optimal position and the earth surface can be calculated through an area method.
According to the method, the final boundary rock quantity of the strip mine under different slope angles can be obtained by usingAndrespectively represent the corresponding ore quantity and rock quantity as shown in FIG. 4, wherein +.>Representing a collection of slope angles.
And S106, determining the stripping amount of the waste rock serving as unit resource under different slope angles according to the final boundary rock amounts of the strip mine under different slope angles.
The best boundary solution should be as much ore extraction as possible and less rock stripping, regardless of slope stability. The obtained set of slope angles with different directionsThe boundary design method under the condition can obtain the stripping amount of waste rocks of the boundary unit resource,i.e.Average stripping ratio.
S106 specifically comprises:
using the formulaAnd determining the stripping amount of the waste rock per unit resource under different slope angles.
Wherein,is the stripping amount of waste rocks per unit resource, +.>For slope angle->To be at slope angle->Ore quantity below->To be at slope angle->Amount of rock below.
And S107, under the condition that the analysis result of the slope stability is stable, determining the supporting schemes and the corresponding supporting engineering quantities under different slope angles.
The supporting mode of the open side slope comprises gravity type retaining wall, buttress type retaining wall, cantilever type supporting, plate rib type or lattice type anchor rod retaining wall supporting, row pile type anchor rod retaining wall supporting, anchor spraying supporting, slope rate method and the like, and the side slope supporting mode is selected according to the side slope safety coefficient and the side slope property (such as seepage, rock mass structure and the like). According to the third step of slope stability analysis result, setting supporting parameters (such as anchor net size, lattice net size and the like) meeting safety conditions according to different supporting modes, and adjusting the supporting parameters to obtain an optimal supporting scheme of each supporting mode.
S107 specifically includes:
using the formula And determining the supporting engineering quantity.
Wherein,to be at slope angle->Lower support engineering quantity,/->To be at slope angle->In the following supporting scheme, the supporting device is provided with a supporting device,to be at slope angle->Lower support area, < ->To be at slope angle->Type of support material below, T [ sic ]]The model is a support engineering quantity function model.
S108, determining the optimal slope angle according to the slope stability analysis results, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting schemes under different slope angle conditions.
S108 specifically includes:
using the formulaAnd determining an optimal slope angle.
Wherein,is the optimal scheme under the condition of optimal slope angle, P f Is the probability of slope instability->To be at slope angle->Lower support engineering quantity,/->Is the stripping amount of waste stone as unit resource, ψ [ []And selecting a function for the optimal scheme.
Based on the support engineering quantity function model, the boundary design method and the average stripping ratio under the slope stability analysis condition, an expert system is adopted to carry out comprehensive judgment (can also be checked according to economic benefits), and all slope angle sets are obtained from stability, stripping quantity of unit resource exploitation, support engineering quantity and the likeOptimal slope angle regimen under conditions +.>
As another specific embodiment, the slope angle determining system for an open pit mine provided by the invention includes:
and the rock mass mechanical parameter determining module is used for determining rock mass mechanical parameters by adopting a rock mass mechanical experiment according to geological data of the strip mine to be analyzed.
And the slope safety coefficient determining module is used for determining the corresponding slope safety coefficient according to the probability distribution of the rock mass mechanical parameters.
The slope risk assessment model building module is used for building slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient; the slope risk assessment model is used for determining the slope landslide risk probability; the slope landslide risk probability is used for determining a slope stability analysis result.
The boundary design critical value determining module is used for determining a boundary design critical value according to geological data and economic and technical parameters; the economic and technical parameters comprise: ore cost, rock stripping cost, ore dressing cost, concentrate price, concentrate grade, geological grade and comprehensive recovery rate.
And the strip mine final boundary rock quantity determining module is used for defining the strip mine final boundary rock quantity under different slope angles by adopting a cross section method according to the boundary design critical value.
And the unit resource waste rock stripping amount determining module is used for determining the unit resource waste rock stripping amount under different slope angles according to the final boundary rock amounts of the strip mine under different slope angles.
And the support engineering quantity determining module is used for determining support schemes and corresponding support engineering quantities under different slope angles under the condition that the slope stability analysis result is stable.
The optimal slope angle determining module is used for determining the optimal slope angle according to the slope stability analysis results, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting schemes under different slope angle conditions.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In view of the foregoing, this description should not be construed as limiting the invention.

Claims (8)

1. A slope angle determination method for a strip mine, comprising:
according to geological data of the strip mine to be analyzed, rock mass mechanics experiments are adopted to determine rock mass mechanics parameters;
determining corresponding side slope safety coefficients according to probability distribution of rock mechanical parameters;
according to the slope safety coefficient, establishing a slope risk assessment model under different slope angle conditions based on a reliability theory; the slope risk assessment model is used for determining the slope landslide risk probability; the slope landslide risk probability is used for determining a slope stability analysis result;
determining boundary design critical values according to geological data and economic and technical parameters; the economic and technical parameters comprise: ore cost, rock stripping cost, ore dressing cost, concentrate price, concentrate grade, geological grade and comprehensive recovery rate;
according to the boundary design critical value, delineating the final boundary rock amount of the strip mine under different slope angles by adopting a cross section method;
determining the stripping amount of waste rock per unit resource under different slope angles according to the final boundary rock amounts of the strip mine under different slope angles;
under the condition that the analysis result of the slope stability is stable, determining supporting schemes and corresponding supporting engineering quantities under different slope angles;
and determining the optimal slope angle according to the slope stability analysis results corresponding to the supporting schemes under different slope angles, the stripping amount of waste rock per unit resource and the supporting engineering amount.
2. The method for determining the slope angle of the strip mine according to claim 1, wherein the establishing the slope risk assessment model under different slope angle conditions based on the reliability theory according to the slope safety coefficient specifically comprises:
determining slope section calculation models under different slope angles;
determining a slope safety coefficient according to slope profile calculation models under different slope angle conditions;
and establishing slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient.
3. The slope angle determination method of a strip mine according to claim 1, wherein determining the boundary design threshold according to geological data and economic and technical parameters specifically comprises:
using formula R b ＝[g o rq/g p -(C m +C p )]/C w Determining a boundary design critical value;
wherein R is b Design critical value g for boundary o The final product of mine enterprises is concentrate, the geological grade of ore bodies, g p Is the concentrate grade, q is the selling price of the concentrate grade, C w Is the unit rock stripping cost, C m Cost per unit of mining, C p And r is the comprehensive recovery rate of the mining and dressing.
4. The slope angle determining method of an open pit mine according to claim 1, wherein the defining the final boundary rock mass of the open pit mine under different slope angles by adopting a cross-section method according to the boundary design critical value comprises the following steps:
determining an optimal position according to the boundary design critical value;
and (3) delineating the ore quantity and rock quantity in a closed ring formed by the optimal position and the earth surface by adopting a cross section method, and further determining the final boundary rock quantity of the strip mine under different slope angles.
5. The slope angle determining method of the strip mine according to claim 1, wherein the determining the stripping amount of the waste rock per unit resource under different slope angle conditions according to the final boundary rock amount of the strip mine under different slope angle conditions specifically comprises:
using formula R C Determining the stripping amount of waste rock per unit resource under different slope angles;
wherein R is C And (phi) is the stripping amount of waste rock per unit resource, phi is the slope angle, O (phi) is the ore amount at the slope angle phi, and W (phi) is the rock amount at the slope angle phi.
6. The method for determining the slope angle of the strip mine according to claim 1, wherein the step of determining the supporting scheme and the corresponding supporting engineering amount under different slope angle conditions when the slope stability analysis result is stable specifically comprises the steps of:
determining the supporting engineering quantity by using a formula M (phi) =T [ I (phi), S (phi), N (phi) ];
wherein M (phi) is the supporting engineering quantity under the slope angle phi, I (phi) is the supporting scheme under the slope angle phi, S (phi) is the supporting range under the slope angle phi, N (phi) is the supporting material type under the slope angle phi, and T [ ] is the supporting engineering quantity function model.
7. The method for determining the slope angle of the strip mine according to claim 1, wherein the determining the optimal slope angle according to the slope stability analysis result, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting scheme under different slope angle conditions specifically comprises:
using the formula phi best ＝Ψ[P f ，M(φ)，R C (φ)]Determining an optimal slope angle;
wherein phi is best Is the optimal scheme under the condition of optimal slope angle, P f For the probability of slope instability, M (phi) is the engineering quantity of support under the slope angle phi, R C (phi) is the stripping amount of waste stone per unit resource, ψ []And selecting a function for the optimal scheme.
8. A slope angle determination system for a strip mine, comprising:
the rock mass mechanical parameter determining module is used for determining rock mass mechanical parameters by adopting a rock mass mechanical experiment according to geological data of the strip mine to be analyzed;
the slope safety coefficient determining module is used for determining corresponding slope safety coefficients according to probability distribution of rock mass mechanical parameters;
the slope risk assessment model building module is used for building slope risk assessment models under different slope angles based on a reliability theory according to the slope safety coefficient; the slope risk assessment model is used for determining the slope landslide risk probability; the slope landslide risk probability is used for determining a slope stability analysis result;
the boundary design critical value determining module is used for determining a boundary design critical value according to geological data and economic and technical parameters; the economic and technical parameters comprise: ore cost, rock stripping cost, ore dressing cost, concentrate price, concentrate grade, geological grade and comprehensive recovery rate;
the strip mine final boundary rock quantity determining module is used for defining the strip mine final boundary rock quantity under different slope angles by adopting a cross section method according to the boundary design critical value;
the unit resource waste rock stripping amount determining module is used for determining the unit resource waste rock stripping amount under different slope angles according to the final boundary rock amounts of the strip mine under different slope angles;
the support engineering quantity determining module is used for determining support schemes and corresponding support engineering quantities under different slope angles under the condition that the slope stability analysis result is stable;
the optimal slope angle determining module is used for determining the optimal slope angle according to the slope stability analysis results, the unit resource waste rock stripping amount and the supporting engineering amount corresponding to the supporting schemes under different slope angle conditions.
CN202310432848.0A 2023-04-21 2023-04-21 Slope angle determining method and system for strip mine Active CN116542031B (en)

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CN114676468A (en) * 2021-12-13 2022-06-28 东北大学 Metal strip mine final boundary optimization method and system

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