CN109948285A - A kind of large size Karst depression ball crown type mechanism central excavation localization method - Google Patents
A kind of large size Karst depression ball crown type mechanism central excavation localization method Download PDFInfo
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Abstract
The invention discloses a kind of large-scale Karst depression ball crown type mechanism central excavation localization methods, method includes the following steps: 1) choosing mechanism central excavation candidate region;2) factor for influencing central excavation positioning is determined;3) primary election determines more excellent central excavation point plane coordinates;4) optimal elevation plane is determined;5) it is accurately positioned in optimal elevation plane and obtains optimal mechanism central excavation.Different location of the present invention by simulation ball crown type structures central excavation in large-scale Karst depression, using project total cost as constraint condition, solve position of the ball crown type mechanism center in large-scale Karst depression, it realizes the optimization output of large-scale Karst depression ball crown type mechanism central excavation and is accurately positioned, provided for large-scale Karst depression ball crown type mechanism central excavation positioning a kind of scientific and rational with reference to method.
Description
Technical field
The present invention relates to a kind of large-scale Karst depression ball crown type mechanism central excavation localization methods.
Background technique
Karst depression be carbonate rock area since corrosion is formed by a kind of negative land form, depression bottom configuration are flat
Smooth, diameter is generally by hundreds of meters to thousands of rice etc..For large-scale Karst depression especially large-scale circular Karst depression,
It is especially suitable for building ball crown type structures.However, the central excavation position of different ball crown type structures will generate different excavations
Effect, such as different centers will generate different excavated volumes, geology endangers control amount.In short, excavation effect should be
Under the premise of guaranteeing ball crown type structures safety, meet the installation requirements of ball crown type structures, while considering ball crown type structures
Integral constructing cost, to greatest extent reduce excavation project amount.Therefore, in the optimal excavation for how positioning ball crown type structures
The heart realizes that the rationalization of large-scale Karst depression is excavated, and large-scale Karst depression ball crown type mechanism must be taken into consideration when building
Problem.
Summary of the invention
The technical problem to be solved by the present invention is providing a kind of large-scale Karst depression ball crown type mechanism central excavation positioning
Method, to solve in large-scale Karst depression excavation project, since the center of different ball crown type structures will generate difference
Excavation effect, need to position the optimal central excavation of ball crown type structures, realize the optimization, rationally of large-scale Karst depression
Change Excavation Problems.
The technical scheme adopted by the invention is as follows: a kind of large size Karst depression ball crown type mechanism central excavation localization method,
The method steps are as follows:
1) it is waited in the spherical crown structures central excavation that large-scale Karst depression bottom centre position chooses a setting range
Favored area;
2) impact factor for influencing central excavation positioning is determined, impact factor includes earthwork evacuation engineering, the molten megalith that collapses
Mixture harnessing project, Unstable Rock Treatment engineering, slope project, drainage system and spherical crown structures construction cost;
3) primary election determines more excellent central excavation point plane coordinates: with biggest impact factor earthwork evacuation in candidate region
Engineering is computing object, by interactive integral algorithm, calculates earthwork evacuation engineering when central excavation depth is setting value
Amount, obtains excavation project amount isogram, primarily determines that the central point of excavated volume isogram is more excellent central excavation point;
4) it determines optimal elevation plane: being the excavation assumed with more excellent central excavation plane coordinates in each elevation plane
Center calculates the project total cost of corresponding elevation plane, is with elevation by calculating the corresponding project cost of each impact factor
Abscissa, project total cost are ordinate, determine optimal elevation plane;
5) it is accurately positioned in optimal elevation plane: in optimal elevation plane, using more excellent central excavation point as origin, into one
Step chooses the region of a setting range, with the spacing being sized, project total cost distribution of contours figure, in setting range
In region, according to project total cost isogram, an optimal region being sized further is chosen, in the region
Point is encrypted, and to be sized value as spacing, is calculated the corresponding project total cost of each pass point, is obtained in optimal region and add
Close coordinate and corresponding engineering total cost table;
6) choose fitting function, to project cost value in closed points coordinate in optimal region and corresponding engineering total cost table into
The fitting of row three-dimensional space curved surface, using coordinate points x, y as independent variable, selection project total cost is dependent variable Z, constructs binary function,
Seek the minimum of function, it is assumed that function shape is paraboloid, with the method for undetermined coefficients, constructs the binary function about x, y and Z
Form is as follows:
Z=Ax2+Bx+Cy2+Dy+Exy+F
In formula, A, B, C, D, E and F are binary function coefficient, and binary function coefficient obtains function such as following formula institute by fitting
Show, correlation coefficient r2=0.9786:
Z=90.484x2+459.859x+56.120y2+8.522y-87.460xy+9836.042
In formula: x is horizontal direction, and y is vertical direction, is that optimal mechanism is excavated to the minimum point that binary function is sought
Center.
Beneficial effects of the present invention: compared with prior art, the present invention is existed by simulating ball crown type structures central excavation
Different location in large-scale Karst depression comprehensively considers earthwork evacuation engineering, the molten megalith mixture harnessing project, crag of collapsing
Harnessing project, slope project, drainage system, spherical crown structures construction cost multiple impact factors, by multiple impact factor meters
The project total cost of calculation is constraint condition, solves position of the ball crown type mechanism center in large-scale Karst depression, is realized large-scale
The optimization of Karst depression ball crown type mechanism central excavation is exported and is accurately positioned, for large-scale Karst depression ball crown type mechanism
Central excavation positioning provides a kind of scientific and rational with reference to method.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Excavation project amount distribution of contours figure when Fig. 2 is primary election.
Project total cost curve (containing each impact factor cost) figure when Fig. 3 determines optimal elevation.
Excavation project total cost isogram when being accurately positioned in the optimal elevation plane of Fig. 4.
Fig. 5 is the central excavation point location drawing finally solved.
Specific embodiment
With reference to the accompanying drawing and the present invention is described further in specific embodiment.
Embodiment 1: as Figure 1-Figure 5, a kind of large size Karst depression ball crown type mechanism central excavation localization method should
Method and step is as follows:
1) in depression, bottom centre chooses one 100 meters × 100 meters of square area: intending in a large-scale Karst depression
A spherical crown structures are built, bottom center region chooses one 100 meters × 100 meters of candidate region in depression thus, as ball crown type
The region that structures center can arbitrarily move.Depression bottom original ground lowest elevation is 841 meters, by qualitative analysis, is determined
Cutting depth principle is as follows: the lower limit of central excavation depth is 13 meters, i.e., 828 meters;The upper limit of central excavation depth is 5 meters, i.e.,
836 meters.
2) it analyzes and determines impact factor: choosing the factor for influencing the selection of spherical crown structures center, including earthwork evacuation
Engineering, the molten megalith mixture harnessing project that collapses, Unstable Rock Treatment engineering, slope project, drainage system, spherical crown structures are built into
This.
3) primary election determines more excellent central excavation point plane coordinates: with maximum in 1) described 100 meters × 100 meters candidate regions
Impact factor earthwork evacuation engineering is computing object, by interactive integral algorithm, when calculating central excavation depth is 13 meters
Earthwork evacuation project amount, obtain excavation project amount isogram, see attached drawing 2, primarily determine in excavated volume isogram
Heart point is more excellent central excavation point 1.
4) it determines optimal elevation: being optimization origin with more excellent central excavation point 1 in 828 meters~836 meters elevation planes,
Consider all impact factors, i.e. earthwork evacuation engineering, molten megalith mixture harnessing project, Unstable Rock Treatment engineering, the side slope work of collapsing
Journey, drainage system, spherical crown structures construction cost increment.The corresponding project cost of each impact factor is calculated, it is total to obtain engineering
Cost.Specifically: with 1 meter for ladder, the position of central excavation point 1 is raised step by step, is calculated separately in 828 meters~836 meters elevations
The corresponding excavation project total cost of more excellent central excavation point 2 obtains project total cost curve graph (containing each impact factor cost), sees
Attached drawing 3.By attached drawing 3 it is found that in the case where comprehensively considering all impact factors, when elevation is 834 meters, project total cost is most
It is low, therefore optimal elevation is 834 meters.
5) it is accurately positioned in optimal elevation plane: being origin with more excellent central excavation point 1 in 834 meters of optimal elevation, choosing
20 meters × 20 meters regions 2 are taken to obtain project total cost distribution of contours figure with 2 meters for spacing, see attached drawing 4.
In aforementioned 20 meters × 20 meters regions 2, according to project total cost isogram, one 4 meters × 5 meters are further chosen
Optimal region 3, the point in the region is encrypted, with 1 meter for spacing, the corresponding engineering of each pass point is calculated and always makes
Valence, as shown in table 1.
Closed points coordinate and corresponding engineering total cost table in 1 optimal region 3 of table
6) fitting function is chosen, three-dimensional space curved surface fitting is carried out to project cost value in table 1.In table 1, since x, y are
Independent variable, therefore choosing project total cost is dependent variable Z, constructs binary function, seeks the minimum of function.Assuming that function shape is
Paraboloid constructs as follows about the binary function form of x, y and Z with the method for undetermined coefficients:
Z=Ax2+Bx+Cy2+Dy+Exy+F
By fitting, obtains function and be shown below (correlation coefficient r2=0.9786):
Z=90.484x2+459.859x+56.120y2+8.522y-87.460xy+9836.042
In formula: x is horizontal direction, and y is vertical direction.
The minimum that curved surface is sought to above formula, acquiring optimum coordinates value is (- 4.1349, -3.2866), and the value is as optimal
Central excavation point 4, locating elevation are 834 meters, see attached drawing 5.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any
Those familiar with the art in the technical scope disclosed by the present invention, can easily think of the change or the replacement, and should all contain
Within protection scope of the present invention, therefore, protection scope of the present invention should be based on the protection scope of the described claims lid.
Claims (1)
1. a kind of large size Karst depression ball crown type mechanism central excavation localization method, it is characterised in that: the method steps are as follows:
1) the spherical crown structures central excavation candidate regions of a setting range are chosen in large-scale Karst depression bottom centre position
Domain;
2) determine that the impact factor for influencing central excavation positioning, impact factor include earthwork evacuation engineering, molten megalith mixing of collapsing
Body harnessing project, Unstable Rock Treatment engineering, slope project, drainage system and spherical crown structures construction cost;
3) primary election determines more excellent central excavation point plane coordinates: with biggest impact factor earthwork evacuation engineering in candidate region
Earthwork evacuation project amount when central excavation depth is setting value is calculated, is obtained by interactive integral algorithm for computing object
To excavation project amount isogram, primarily determine that the central point of excavated volume isogram is more excellent central excavation point;
4) it determines optimal elevation plane: being the central excavation assumed with more excellent central excavation plane coordinates in each elevation plane,
By calculating the corresponding project cost of each impact factor, the project total cost of corresponding elevation plane is calculated, with elevation for horizontal seat
Mark, project total cost is ordinate, determines optimal elevation plane;
5) it is accurately positioned in optimal elevation plane: in optimal elevation plane, using more excellent central excavation point as origin, further selecting
The region of a setting range is taken, with the spacing being sized, project total cost distribution of contours figure, in the region of setting range
It is interior, according to project total cost isogram, an optimal region being sized further is chosen, the point in the region is carried out
Encryption calculates the corresponding project total cost of each pass point to be sized value as spacing, obtains pass point in optimal region and sits
Mark and corresponding engineering total cost table;
6) fitting function is chosen, three are carried out to project cost value in closed points coordinate in optimal region and corresponding engineering total cost table
Dimension space surface fitting, using coordinate points x, y as independent variable, selection project total cost is dependent variable Z, constructs binary function, seeks
The minimum of function, it is assumed that function shape is paraboloid, with the method for undetermined coefficients, constructs the binary function form about x, y and Z
It is as follows:
Z=Ax2+Bx+Cy2+Dy+Exy+F
In formula, A, B, C, D, E and F are binary function coefficient, and binary function coefficient is obtained function and be shown below by fitting,
Correlation coefficient r2=0.9786:
Z=90.484x2+459.859x+56.120y2+8.522y-87.460xy+9836.042
In formula: x is horizontal direction, and y is vertical direction, is during optimal mechanism is excavated to the minimum point that binary function is sought
The heart.
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CN110516399A (en) * | 2019-09-03 | 2019-11-29 | 贵州正业工程技术投资有限公司 | A kind of Karst depression ball crown type is peeled off earthwork calculation method |
CN110516398A (en) * | 2019-09-03 | 2019-11-29 | 贵州正业工程技术投资有限公司 | A kind of Karst depression ball crown type of spherical coordinates is peeled off earthwork calculation method |
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CN110516399A (en) * | 2019-09-03 | 2019-11-29 | 贵州正业工程技术投资有限公司 | A kind of Karst depression ball crown type is peeled off earthwork calculation method |
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