CN101871361A - Method for designing mine tunnel - Google Patents

Abstract

The invention provides a method for designing a mine tunnel, which comprises the following steps of: obtaining tunnel axes information of the mine and tunnel section information which corresponds to the tunnel axes information; generating a temporary tunnel according to the tunnel axes information and the tunnel section information; obtaining the three-dimensional space relationship of the temporary tunnel, the faultage, the mine body and the existing tunnel according to a prestored mine geologic model; updating the tunnel axes information and/or the tunnel section information according to the three-dimensional space relationship; and generating the official tunnel according to the updated tunnel axes information and/or the tunnel section information. By adopting the technical scheme, the method achieves the aims of improving the designing efficiency of the mine tunnel and reducing the potential safety hazard of the designed mine tunnel.

Description

Method for designing mine tunnel

Technical field

The present invention relates to the mine working designing technique, particularly a kind of method for designing mine tunnel belongs to the mine engineering technical field.

Background technology

Along with rapid economy development, the energy becomes the strategic focus of contention in the world, occupies irreplaceable effect as non-renewable mineral resources in whole resource hierarchy.And that most mineral resources all lie in is underground, needs producers from underground mining mineral resource to be come out.

In the process of exploit mineral resources, the tunnel is the artery that the mine produces, and is undertaking functions such as goods and materials transportation, ventilation, flow of personnel passage, and the production safety and the economic benefit in mine had direct influence.Mine working is crisscross, intricate, the mining activity that the tunnel is served is in the three-dimensional natural geological environment, the exploitation object mostly is numerous types, comes in every shape, condition is changeable and adopt before the natural resources of failing to know fully, bring great inconvenience for the design in tunnel.Traditional method for designing is to draw on papery figure or with two-dimentional CAD software Aided Design, adopt X-Y scheme to represent that three-dimensional geological phenomenon and complicated pit shaft, lane space distribute, very not directly perceived, have only veteran personnel just can finish, and need cost regular hour and the tax of energy conception mineral resources to deposit situation and architectonic spatial distribution, accurately understand its three-dimensional relationship for the constructor and caused certain difficulty.

The two-dimensional design method is difficult to put in order three-dimensional relationship complicated between three-dimensional geological environment and the tunnel, has following drawback:

(1) tunnel of being reflected under the two-dimensional design environment is relative untrue with existing tunnel three-dimensional relationship, causes the safe distance between the tunnel too small easily, makes roadway construction have potential safety hazard;

(2) can not consider three-dimensional relationship between tunnel and the tomography, lack effective early warning of distance between tunnel and the tomography in the work progress, bring potential safety hazard for the blast working in tunnel;

(3) can not consider three-dimensional relationship between tunnel and the ore body, ore body must make the tunnel can effectively pass through the ore body position as the main body of exploitation, improves production efficiency, can not consider this factor really under the two-dimensional design situation.

Summary of the invention

The purpose of this invention is to provide a kind of method for designing mine tunnel, in order to solve the technical problem that can not fully take into account tunnel and the three-dimensional relationship in the existing tunnel of tomography, ore body and each bar in the prior art simultaneously, to have reached the purpose that reduces potential safety hazard in the roadway construction process and raising quarry body running efficient.

For achieving the above object, the invention provides a kind of method for designing mine tunnel, comprising:

Obtain the tunnel axis information in mine, and and the pairing drift section information of described tunnel axis information; According to described tunnel axis information and drift section information, generate temporary working;

According to the mining geology model that prestores, obtain the three-dimensional relationship in described temporary working and tomography, ore body and existing tunnel, and upgrade described tunnel axis information and/or drift section information according to described three-dimensional relationship;

Described tunnel axis information and/or drift section information according to after upgrading generate formal tunnel.

The present invention is by in the mining geology model that prestores, three-dimensional relationship by temporary working and tomography, ore body and existing tunnel, generate the technical scheme in formal tunnel, the three dimensions feature that has fully reflected various places confrontation elephant has arrived and has improved the mine working design efficiency and reduce the purpose that there is potential safety hazard in designed tunnel.

Description of drawings

Fig. 1 is the schematic flow sheet of method for designing mine tunnel of the present invention;

Fig. 2 a concerns schematic diagram for one of tunnel of the present invention axis and drift section;

Fig. 2 b concerns schematic diagram for another of tunnel of the present invention axis and drift section;

Fig. 3 is generated the schematic diagram of temporary working by profile in the temporary working and temporary working outline for the present invention;

Fig. 4 is the three-dimensional relationship schematic diagram of temporary working of the present invention and tunnel tomography;

Fig. 5 is line segment of the present invention and leg-of-mutton three-dimensional relationship schematic diagram;

Fig. 6 a is a schematic diagram of temporary working of the present invention and ore body three-dimensional relationship;

Fig. 6 b is another schematic diagram of temporary working of the present invention and ore body three-dimensional relationship;

Fig. 7 a is a present invention's point and a leg-of-mutton three-dimensional relationship schematic diagram;

Fig. 7 b is the present invention's point and leg-of-mutton another three-dimensional relationship schematic diagram;

Fig. 8 for the present invention with the schematic diagram of delta-shaped region to plane st subregion;

Fig. 9 is the schematic diagram of the different level curves of the present invention;

Figure 10 generates schematic diagram for the present invention's second beeline;

Figure 11 a generates schematic diagram for axis beeline vector one end of the present invention to one of tunnel outer wall distance;

Figure 11 b is axis beeline vector one end of the present invention another generation schematic diagram to tunnel outer wall distance;

Figure 12 is the three-dimensional relationship schematic diagram between line segment of the present invention and the line segment.

The specific embodiment

Below by drawings and Examples, technical scheme of the present invention is described in further detail.

Method for designing mine tunnel of the present invention is according to the mine three-dimensional geological model of having set up, under the 3-dimensional digital environment, obtain the tunnel axis information in mine, and and the pairing drift section information of described tunnel axis information, and according to described tunnel axis information and drift section information, the generation temporary working, method for designing mine tunnel in the prior art is always set up temporary working at the planar environment to be improved, in the three-dimensional geological model of the mine at temporary working place, to temporary working and tomography three-dimensional relationship, the three-dimensional relationship in temporary working and ore body three-dimensional relationship and temporary working and existing tunnel is carried out analysis and judgement respectively, whether meet every requirement in the described three-dimensional relationship, as be not inconsistent merging according to as described in three-dimensional relationship upgrade as described in tunnel axis information and/or drift section information, thereby described tunnel axis information and/or drift section information according to after upgrading generate formal tunnel.

It is emphasized that above-mentioned three-dimensional relationship to temporary working and tomography three-dimensional relationship, temporary working and ore body three-dimensional relationship and temporary working and existing tunnel carries out analysis and judgement respectively, carry out simultaneously, do not have fixing sequencing, decide according to concrete condition.

The present invention is by in the mining geology model that prestores, three-dimensional relationship according to the temporary working that is generated and tomography, ore body and existing tunnel, generate the technical scheme in formal tunnel, the three dimensions feature that has fully reflected various places confrontation elephant has arrived raising mine working design efficiency, has reduced the purpose that there is potential safety hazard in designed tunnel.

Fig. 1 is the schematic flow sheet of method for designing mine tunnel of the present invention.As shown in Figure 1, this method specifically may further comprise the steps:

Step S101 generates temporary working.

Fig. 2 a concerns schematic diagram for one of tunnel of the present invention axis and drift section.Fig. 2 b concerns schematic diagram for another of tunnel of the present invention axis and drift section.Particularly,, determine the relative tertiary location of temporary working,, reach and the pairing drift section information of described tunnel axis information to obtain the tunnel axis information in mine according to the spatial distribution characteristic of mine three-dimensional geological model; In conjunction with Fig. 2 a and Fig. 2 b, and according to the tunnel axis type information in the axis information of described tunnel, tunnel axis starting point coordinate information and tunnel axis terminal point coordinate information, generate described tunnel axis 21, described tunnel axis type information is as the straight line of tunnel axis 21 among Fig. 2 a or as the circular arc among Fig. 2 b; Simultaneously, generate drift section 22 according to described drift section information, shown in Fig. 2 a and Fig. 2 b, drift section 22 be shaped as the semicircle arch, also can be circle.

Fig. 3 is generated the schematic diagram of temporary working by profile in the temporary working and temporary working outline for the present invention.Then, in conjunction with Fig. 2 a, Fig. 2 b and shown in Figure 3, drift section 22 is drawn along tunnel axis 21, according to profile information in the drift section in the described drift section information and tunnel outline information, generate respectively corresponding to the interior profile 32 of the temporary working of profile information in the described drift section with corresponding to the outline 31 of the temporary working of described drift section outline information; At last according to profile 32 in tunnel outline 31 and the tunnel, by boolean's subtraction the outline 31 of temporary working is deducted the interior profile 32 of temporary working, generate and have certain thickness temporary working 33.

Further, in conjunction with Fig. 2 a and Fig. 2 b, described drift section 22 is drawn along tunnel axis 21 before, method for designing mine tunnel of the present invention also comprises: according to the direction of described tunnel axis starting point coordinate information and described tunnel axis, generate translation matrix and spin matrix; According to described translation matrix and spin matrix, drift section 22 is moved to the starting point of tunnel axis 21, and make drift section 22 at the starting point place of tunnel axis 21 and the tangent line quadrature of tunnel axis 21 directions.

The temporary working 33 that generate this moment, can't determine fully that meets a formal tunnel of exploiting the ore body requirement under the mine, need whether meet the requirement of engineering to the temporary working 33 that is generated according to the concrete further analysis of geological environment, in the present embodiment, according to the mine three-dimensional geological model that prestores, obtain temporary working 33 and reach the three-dimensional relationship that has the tunnel with tomography, ore body, and whether meeting the requirement of roadway construction engineering according to described three-dimensional relationship, described tunnel axis information and/or drift section information upgrade in time;

According to described tunnel axis information and/or drift section information after upgrading, generate formal tunnel at last, finish the design in tunnel.

If the temporary working of above-mentioned generation 33, it is article one tunnel in the mine working network, then only need to judge the three-dimensional relationship of temporary working 33 with the tomography of described generation, and the three-dimensional relationship of the temporary working 33 of analyzing described generation and ore body gets final product.

If the temporary working of above-mentioned generation 33, it or not article one tunnel in the mine working network, this situation is in the majority, in the mine working network multi-mine roadway is arranged after all, and has only article one tunnel in each mine working network, analyze the three-dimensional relationship of temporary working 33 with the tomography of described generation except needs, and outside the three-dimensional relationship of the temporary working 33 of analyzing described generation and ore body, also need to analyze the temporary working 33 of described generation and the three-dimensional relationship between the existing tunnel in the mine working network;

Three-dimensional relationship to temporary working 33 and tomography three-dimensional relationship, temporary working 33 and ore body three-dimensional relationship and temporary working 33 and existing tunnel will once specifically set forth in each step.

Further, in the computer aided design (CAD) process, described existing tunnel and temporary working are the 3D solid Drawing Object that Once is forgivable, twice is not divides in the graphic data base of method for designing mine tunnel of the present invention, these Drawing Objects all are visual by visual platform, and in graphic data base, each existing tunnel and temporary working and their axis are distributed unique tunnel ID, the tunnel database is connected with graphic data base, notes the identification information that the Drawing Object of corresponding relation is arranged with the tunnel ID in every tunnel in the database of tunnel.Thus, when utilizing computer to carry out tunnel Aided Design analysis, can realize existing tunnel and the two-way handover operation of temporary working between graphic data base and visual platform: from the database of tunnel, choose the identification information that a tunnel ID (tunnel of unique identification) can obtain corresponding its Drawing Object arbitrarily, as long as the respective graphical that each Drawing Object of traversal just can find identification information therewith to be complementary in graphic data base further can be visual with this Drawing Object on visual platform; Otherwise in visual platform, choose a Drawing Object arbitrarily and also can from the database of tunnel, find corresponding tunnel ID, and obtain the parameter information in corresponding tunnel thus according to its identification information.

Step S102, obtain the three-dimensional relationship of temporary working and tomography.

Fig. 4 is the three-dimensional relationship schematic diagram of temporary working of the present invention and tunnel tomography.As shown in Figure 4, wherein, the curved surface of tunnel tomography 41 is divided into some triangles, make the curved surface of tunnel tomography 41 become sealene triangle net (the Triangulated IeergularNetwork that described some triangles constitute, TIN), each leg-of-mutton three-dimensional relationship among traversal temporary working 33 and the TIN is to obtain the three-dimensional relationship of temporary working and tomography.Because the length of temporary working 33 is limited, therefore the axis of temporary working 33 can be regarded as is a line segment, temporary working 33 can be converted into the axis of temporary working 33 and the leg-of-mutton three-dimensional position relation on tomography 41 curved surfaces with the three-dimensional relationship of tomography 41, is specially:

Fig. 5 is line segment of the present invention and leg-of-mutton three-dimensional relationship schematic diagram.As shown in Figure 5, line segment can adopt the form of ray to represent, promptly uses starting point coordinate P ₀With by P ₁-P ₀The direction vector that constitutes

Expression:

$R\left(t\right)={\mathrm{<figure-callout\; id="0"\; label="P"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">P</figure-callout>}}_0+t\stackrel{\&RightArrow;}{d},0\&le;t\&le;\&infin;---\left(1\right)$

Wherein, when 0≤t≤1, expression be line segment P ₀P ₁, this line segment P ₀P ₁The axis 33 of the temporary working in the representative graph 4.

The plane parameter equation at triangular unit place is:

Q _u，v，w＝wV ₀+uV ₁+vV ₂ u+v+w＝1 (2)

Wherein, when 0≤u≤1,0≤v≤1,0≤w≤1 o'clock, expression be triangular unit V ₀V ₁V ₂, this triangular unit V ₀V ₁V ₂Arbitrary triangle on tomography 41 curved surfaces in the representative graph 4.

With equation (1) (2) simultaneous:

$P+t\stackrel{\&RightArrow;}{d}=[1-(u+v)]{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+u{\mathrm{<figure-callout\; id="1"\; label="V"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">V</figure-callout>}}_1+v{V}_2---\left(3\right)$

Do not separate if equation (8) has, then show ray R (t) and plane Q _{U, v, w}There is not intersection point, shows that promptly the axis 33 of temporary working is non-intersect with tomography 41 curved surfaces;

If equation (8) is separated, then show ray R (t) and plane Q _{U, v, w}There is intersection point, promptly shows the axis 33 and tomography 41 surface intersections of temporary working; Can judge further that if u, v ∈ [0,1] shows that then intersection point is in triangular unit inside; On this basis, if t ∈ [0,1], show that there are intersection point in tunnel axis segment and tomography, the calculating of the collision angle during about the axis 33 of temporary working and tomography 41 surface intersections can be repeated no more here by the acquisition of the relation between the vector equally.

Step S103, obtain the three-dimensional relationship of temporary working and ore body.

Fig. 6 a is a schematic diagram of temporary working of the present invention and ore body three-dimensional relationship.Fig. 6 b is another schematic diagram of temporary working of the present invention and ore body three-dimensional relationship.Shown in Fig. 6 a and Fig. 6 b, with the axis of temporary working 33 difference according to the required precision of actual engineering roadway construction, be divided into plurality of sections, further can be with the analysis of temporary working 33 with the three-dimensional relationship of ore body 61, be converted into the problem of first beeline between each waypoint 62 of corresponding plurality of sections and ore body 61 base plates, ore body 61 base plates are the same with the curved surface of tunnel tomography 41 among Fig. 4 to be divided into some triangles, sealene triangle net (the Triangulated Ieergular Network that makes ore body 61 base plates become described some triangles to constitute, TIN), particularly, obtain first beeline of each waypoint 62 with ore body 61 base plates of corresponding plurality of sections respectively, described first beeline be each waypoint 62 with described some triangles in the line of arbitrary triangle inside or border point, be first beeline of each waypoint 62 and ore body 61 base plates as the downward little vertical line of vertical temporary working 33 axis among Fig. 6 a, to obtain the three-dimensional relationship of temporary working and ore body.

For obtaining of first beeline of each waypoint 62 of above-mentioned corresponding plurality of sections and ore body 61 base plates, analyze by the following method.

Fig. 7 a is a present invention's point and a leg-of-mutton three-dimensional relationship schematic diagram.Fig. 7 b is the present invention's point and leg-of-mutton another three-dimensional relationship schematic diagram.Shown in Fig. 7 a and Fig. 7 b, the above-mentioned a certain waypoint 62 of P point representative here, the triangle T here can be the arbitrary triangle in the above-mentioned ore body 61 bottom plate triangular shapes net, particularly,

For the convenience of discussing, coming defining point with the parametric equation form is { V ₀V ₁V ₂Triangle T:

$T(s,t)=B+s\stackrel{\&RightArrow;}{e_0}+\mathrm{<figure-callout\; id="1"\; label="t\; e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">t</figure-callout>}\stackrel{}{e_{}}\stackrel{\&RightArrow;}{{}_1}---\left(4\right)$

Wherein, (s, t) ∈ D={ (s, t): s ∈ [0,1], t ∈ [0,1], s+t≤1}, B=V ₀,

And

By determining that (s, t) ∈ D can calculate minimum range corresponding to the value that approaches most the some P ' that P orders on the triangle.

On the triangle arbitrarily the distance between point and the some P be

||T(s，t)-P|| (5)

The function of service range square expression is

Q(s，t)＝||T(s，t)-P|| ² (6)

Wherein (s, t) ∈ D.Expand everyly, and they are taken advantage of out, as can be seen, this function is the quadratic function about s and t

Q(s，t)＝as ²+2bst+ct ²+2ds+2et+f (7)

Wherein

$a=\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0}$

$b=\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1}$

$c=\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1}$ (8)

$d=\stackrel{\&RightArrow;}{e_0}\&CenterDot;(B-P)$

$e=\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1}\&CenterDot;(B-P)$

f＝(B-P)·(B-P)

By obtaining Q (s, t) minimum value, just can obtain corresponding to approaching most the some P ' that P is ordered on the triangle T, further obtain the beeline of ordering corresponding to triangle T and P, corresponding to step S103, be specially, can obtain corresponding to a certain triangle of ore body 61 base plates approach most a certain waypoint 62 a bit, further obtain first beeline corresponding to ore body 61 base plates and a certain waypoint 62.

In practical engineering application, obtain Q (s, minimum value t) can draw by the following method:

Quadratic equation can be according to ac-b ²Classify.For Q, have

$\mathrm{ac}-{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">b</figure-callout>}}^2=(\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0})(\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1})-{(\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1})}^2={\left|\right|\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="e"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">e</figure-callout>}}_0}\&times;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="e"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">e</figure-callout>}}_1}\left|\right|}^2>0---\left(9\right)$

Because leg-of-mutton two limits of hypothesis

Be (be not parallel and length all non-vanishing) of linear independence, therefore, this value is for just.So their cross product is the vector of a non-zero.

With the term of calculus, target is asked function Q (s, minimum value t) exactly on domain of definition D.Because Q (s, t) be one continuously and function that can be little, its minimum value or a gradient that D occurs are

Interior point, perhaps appear on the border of D.

Have only when following formula is set up, (s, gradient t) just is zero to Q

$s=\frac{\mathrm{be}-\mathrm{cd}}{\mathrm{ac}-b^2}$ (10)

$t=\frac{\mathrm{ae}-\mathrm{bd}}{\mathrm{ac}-{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">b</figure-callout>}}^2}$

If ((s, minimum value t) is in triangle T with the Q that obtains so for s, t) ∈ D.Otherwise minimum value must appear on the border of triangle T.

In order to find correct border, as Fig. 8 for the present invention with delta-shaped region to shown in the schematic diagram of plane st subregion, the label that is positioned at the center is that 0 triangle is exactly Q (s, domain of definition t), (s, t) ∈ D.If (s t) in area 0, approaches the some P ' that P orders so most and is positioned at triangle on the triangle.

(s t) is positioned at zone 1 to hypothesis in Fig. 8.In conjunction with the schematic diagram of Fig. 9 for the different level curves of the present invention, as shown in Figure 9, (s, level curve t) are exactly that (s t) is the curve of constant to Q on the st plane to Q.Because (s, figure t) are parabolic to Q, so level curve is oval.

Point on, level curve deteriorate to a single-point (s, t).Q (s, global minimum t) just occurs at that point, and establishing minimum value is V _MinBecause the value V of stratum is from V _MinBeginning increases, and therefore corresponding ellipse is from (s t) outwards increases.The ellipse of the minimum value V0 of stratum correspondence (by Q (s, t)=V ₀Implicit definition) just is contacted with s=s with the limit s+t=1 of the triangle domain of definition ₀∈ [0,1], t=1-s ₀For V＜V ₀Stratum value, corresponding ellipse and any intersection point on limit must have the value V＞V of stratum ₀Therefore, and Q (s, 1-s)＞Q (s ₀, t ₀) (s ∈ [0,1] and) s ≠ s ₀Point (s ₀, t ₀) minimum value of the square distance between P and the plane is provided.Point (s on Fig. 9 intermediate cam shape ₀, t ₀) be a boundary point.

The another kind of method that visual representation appears at borderline minimum range point is to ask to be positioned at (s, t, Q) intersection point of the figure of plane s+t=1 and Q on the space.The curve that intersects is a parabola, is exactly F (s)=Q (s, 1-s) figure of (s ∈ [0,1]).Now, problem reduction is for asking the minimum value of function F (s) (s ∈ [0,1]) on one dimension.The minimum value of F or appear at the interior point of [0,1], have F ' (s)=0 this moment at that point, perhaps appears on an end points s=0 or the s=1.Fig. 9 has shown that minimum value appears at the situation on interior point of Fig. 8 triangle and the area 0.Oval and straight line s+t=1 is tangential on this point.For the situation of end points, ellipse may just contact with the summit of D, but not necessarily tangent.

For the different tendencies of point in distinguishing and end points, can use identical partition method to the situation of one dimension.Interval [0,1] is divided into three interval: s＜0 with solid line, s ∈ [0,1], and s＞1.If

If

F (s) is an increasing function on s ∈ [0,1] so.It must appear at the s=0 place in [0,1] interior minimum value, this moment Q (s is t) in that (s t)=(0,1) locates to obtain its minimum value.If

F (s) is a decreasing function on s ∈ [0,1] so.It must appear at the s=1 place in [0,1] interior minimum value, this moment Q (s is t) in that (s t)=(1,0) locates to obtain its minimum value.Otherwise,

F exists

The place obtain minimum value, and Q (s t) exists

The place obtains its minimum value.

(s, it is identical with the processing method of global minimum in area 0 t) to appear at the processing method of zone 3 or the zone situation in 5.If (s, t) the zone 3 in, so minimum value appear at (0, t ₀) (t ₀∈ [0,1]) locates.Determine that first contact point is that the corresponding interval interior point or the method for end points are identical with method previously discussed.

If (s t) in zone 2, provides that (s, level curve t) will or contact with limit s+t=1 or with limit s=0 with the Q of first contact point of unit square.Because global minimum appears in the zone 2, and Q (s, level curve collection t) they are oval, therefore, and directional derivative at least

With

In one must be positive.Two vectors (0 ,-1) and (1 ,-1) are respectively the direction vectors of limit s=0 and s+t=1.Can based on

With

Symbol decide that to select limit s+t=1 still be limit s=0.

Also can carry out identical computational methods to zone 6.In zone 4, two numbers

With

Symbol can determine that limit to comprise minimum value.(s, minimum value t) in conjunction with Fig. 5, just can obtain corresponding to approaching most the some P ' that P is ordered on the triangle, further obtain the beeline of ordering corresponding to triangle and P finally to obtain Q.

Step S104, obtain the three-dimensional relationship in temporary working and existing tunnel.

This step temporary working that only S101 generated in steps in method for designing mine tunnel of the present invention is not just to carry out in article one tunnel in the network of tunnel, if the temporary working that step S101 generated is article one tunnel in the network of tunnel, then follow execution in step S102 and step S103 simultaneously behind the execution in step S101, when step S102 and step S103 satisfy step S105, last execution in step S106, but step S102 and step S103 do not have the branch of precedence, when execution in step S105, there is one not meet default three-dimensional relationship space and all will upgrade described tunnel axis information and/or drift section information, according to described tunnel axis information and/or the drift section information after upgrading, final step S106 generates formal tunnel; At the temporary working that step S101 is generated is not under the situation in article one tunnel in the network of tunnel, follow execution in step S102, S103 and step S104 behind the execution in step S101, step S102, step S103 and step 1S04 do not have the branch of precedence, do not meet default three-dimensional relationship space as long as when execution in step S105, wherein have one simultaneously, to upgrade described tunnel axis information and/or drift section information equally, according to described tunnel axis information and/or the drift section information after upgrading, final execution in step S106 generates formal tunnel.

When the temporary working that step S101 is generated is not article one tunnel in the network of tunnel, need obtain axis beeline vector between the axis in the axis of described temporary working and described existing tunnel, the existing tunnel with the temporary working close together of described generation generally can be selected in the described existing tunnel here, because with described temporary working existing tunnel far away method for designing mine tunnel of the present invention is not had too much influence.Figure 10 generates schematic diagram for the present invention's second beeline, and as shown in figure 10, described axis beeline vector 1,002 one ends place on the axis of temporary working 33, and the other end places on the axis in described existing tunnel 1001; Obtain an end of axis beeline vector 1002 and first distance 1003 and the other end of axis beeline vector 1002 and the second distance 1004 of existing tunnel 1001 outlines of temporary working 33 outlines respectively; According to axis beeline vector 1002, first distance 1003 and the second distance 1004, deduct first apart from 1003 and second distance 1004, to generate second beeline 1005 with the vector length of beeline vector 1002.

Further, because in the axis beeline vector between the axis in axis that obtains described temporary working and described existing tunnel, it is different that axis beeline vector passes through the intersection point of outline in the outline of described temporary working and described existing tunnel, and the method for therefore calculating first distance and second distance is different.Figure 11 a generates schematic diagram for axis beeline vector one end of the present invention to one of tunnel outer wall distance.Figure 11 b is axis beeline vector one end of the present invention another generation schematic diagram to tunnel outer wall distance.

Known conditions: roadway floor plane of projection, drift section half-breadth a, sidewall height h, the angle β between the angle α of vectorial OC and base plate and OC and the axes O A (vectorial OC and plane of projection are known, so α and β can calculate).Intersection I is the intersection point of the outline in axis beeline vector and tunnel, on the top circular arc or side of the outline that the most contingent position of intersection I is the tunnel, and I point subpoint position B or B ' on the plane of projection.If the length of IB (IB ') is unknown quantity x, wait that the amount of asking OI length is made as l, wherein wait first distance 1003 or the second distance 1004 in the corresponding diagram of the amount of asking OI,

Shown in Figure 11 a, axis beeline vector passes through the intersection point of outline in described tunnel or described existing tunnel on the outline semicircular arch, and wherein drift section half-breadth a equates with the radius R that with O ' is center of circle semicircular arch, then have a following relational expression:

$\left\{\begin{array}{c}\frac{x}{l}=\sin \mathrm{\&alpha;}\\ \frac{\sqrt{[a^2-{(x-h)}^2]+x^2}}{l}=\sin \mathrm{\&beta;}\end{array}\right.---\left(11\right)$

Find the solution and draw:

$l=\frac{h\sin \mathrm{\&alpha;}+\sqrt{h^2({\mathrm{<figure-callout\; id="2"\; label="sin"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">sin</figure-callout>}}^2\mathrm{\&alpha;}-{\mathrm{<figure-callout\; id="2"\; label="sin"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">sin</figure-callout>}}^2\mathrm{\&beta;})+a^2{\mathrm{<figure-callout\; id="2"\; label="sin"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">sin</figure-callout>}}^2\mathrm{\&beta;}}}{{\mathrm{<figure-callout\; id="2"\; label="sin"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">sin</figure-callout>}}^2\mathrm{\&beta;}}---\left(12\right)$

Here, x=lsin α＞h.

Figure 11 b is axis beeline vector one end of the present invention another generation schematic diagram to tunnel outer wall distance.Shown in Figure 11 b, axis beeline vector passes through the intersection point of outline in described tunnel or described existing tunnel on the outline sidewall, promptly during x=lsin α≤h, shows that then intersection point occurs on the outline side, then adopts Figure 11 b can obtain following relational expression:

$\left\{\begin{array}{c}\frac{x}{l}=\sin \mathrm{\&alpha;}\\ \frac{\sqrt{a^2+x^2}}{l}=\sin \mathrm{\&beta;}\end{array}\right.---\left(13\right)$

Find the solution:

$l=\frac{a}{\sqrt{{\mathrm{<figure-callout\; id="2"\; label="sin"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">sin</figure-callout>}}^2\mathrm{\&beta;}-{\mathrm{<figure-callout\; id="2"\; label="sin"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">sin</figure-callout>}}^2\mathrm{\&alpha;}}}---\left(14\right)$

If x is zero, show that then intersection point occurs on the base plate of ore body, method for solving is fairly simple, repeats no more here.Can obtain described first distance and second distance by two kinds of situations shown in Figure 11 a and Figure 11 b.

Obtaining in the axis beeline vector between the axis of above-mentioned described temporary working and the axis in described existing tunnel can be obtained by following method:

Figure 12 is the three-dimensional relationship schematic diagram between line segment of the present invention and the line segment.As shown in figure 12, the parametric equation expression formula of known two line segments is respectively

With

Can establish line segment

The axis of corresponding described temporary working, line segment

The axis in corresponding described existing tunnel, then the axis beeline vector in the axis of described temporary working and described existing tunnel can obtain by following steps,

P wherein ₀, P ₁Be the starting point of line segment,

For the direction vector and the vectorial mould of line segment is the length of line segment, factor of proportionality s, t and the domain of definition are [0,1].

Get the arbitrfary point on the two line segment place straight lines

Work as vector

During for the direction vector of common vertical line, have

$\stackrel{\&RightArrow;}{v}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="0"\; label="d"\; filenames="H2009100830425E0000042.png,H2009100830425E0000052.png"\; state="\{\{state\}\}">d</figure-callout>}}_0}=0,\stackrel{\&RightArrow;}{v}\&CenterDot;\stackrel{\&RightArrow;}{{\mathrm{<figure-callout\; id="1"\; label="d"\; filenames="H2009100830425E0000031.png,H2009100830425E0000042.png"\; state="\{\{state\}\}">d</figure-callout>}}_1}=0---\left(15\right)$

Will Substitution (11) formula, and regulation

When

The time

Direction vector for common vertical line.

Then:

A) if ac-b ²＜ε, ε is a minimum, is approximately 0, expression L ₀(s) //L ₁(t), in this case, t arbitrarily _cCan as a result of for simplicity, generally get t _c=0, the corresponding s that obtains _c=-d/a;

B) have for the distance between the bounded line segment: work as s _c＜0, make s _c=0, if s _c＞1, make s _c=1, calculate corresponding t then _cTo t _cMake identical regulation.

By above analysis promptly get between two line segments apart from line segment start, end coordinate

Can draw the axis of described temporary working and the axis beeline vector in described existing tunnel thus.

Step S105, judge whether to satisfy described three-dimensional requirement.

In Fig. 4, judge if preestablish three-dimensional relationship be temporary working 33 can not pass through tunnel tomography 41 and in fact described three-dimensional relationship to be temporary working 33 pass through tunnel tomography 41 states, perhaps preestablishing three-dimensional relationship is that temporary working 33 can pass through tunnel tomography 41, but the angle of passing through tunnel tomography 41 in the in fact described three-dimensional relationship does not meet collision angle;

And judge that whether each described first beeline is greater than first threshold;

In Figure 10, judge that simultaneously whether second beeline 1005 is less than second threshold value;

If have each not meet predefined requirement in the above-mentioned judgement, then upgrade described tunnel axis information and/or drift section information, concrete corresponding being operating as:

The first, in Fig. 4, up to if to preestablish three-dimensional relationship be that temporary working 33 can not pass through tunnel tomography 41, and in fact described three-dimensional relationship is also passed through tunnel tomography 41 states for temporary working 33, perhaps preestablishing three-dimensional relationship is that temporary working 33 can pass through tunnel tomography 41, and the angle of passing through tunnel tomography 41 in the in fact described three-dimensional relationship meets collision angle;

The second, in conjunction with Fig. 6 a and Fig. 6 b, if there is a series of first beeline institute corresponding segments point greater than first threshold, adjust the three-dimensional relationship of the axis of temporary working 33 with respect to ore body 61 base plates, particularly, when another temporary working of redesign, shown in Fig. 7 b, can be at waypoint 62 places of the described first beeline maximum of correspondence, the axis of temporary working 33 is cut off, by the axis of the temporary working 33 at these waypoint 62 places is dilatory up or down, first beeline that makes this waypoint 62 and ore body 61 base plates is less than first threshold;

Three, the while makes second beeline 1005 less than predefined second threshold value in Figure 10.

Step S106, generate formal tunnel.

Upgrade described tunnel axis information and/or drift section information according to the correspondence that satisfies among the step S105 first, second and the 3rd content, generate formal tunnel, the mode that generates formal tunnel is identical with the mode of generation temporary working, repeats no more here.

As shown from the above technical solution, the present invention passes through tunnel axis information and the pairing drift section information of described tunnel axis information obtained, generate tunnel axis and drift section, again by described drift section is drawn along described tunnel axis, obtain the outline of profile and temporary working in the interim tunnel, with further generation temporary working; Analysis by the three-dimensional relationship in described temporary working and tunnel tomography, ore body and existing tunnel, whether the temporary working of judging current design satisfies predefined three dimensions requirement, the feature that has fully reflected various places confrontation elephant, the more reasonability that designs for the tunnel provides reference, improves the mine working design efficiency and reduces the purpose that there is potential safety hazard in designed tunnel.

It should be noted that at last: above embodiment is only in order to technical scheme of the present invention to be described but not limit it, although the present invention is had been described in detail with reference to preferred embodiment, those of ordinary skill in the art is to be understood that: it still can make amendment or be equal to replacement technical scheme of the present invention, and these modifications or be equal to replacement and also can not make amended technical scheme break away from the spirit and scope of technical solution of the present invention.

Claims (12)

1. a method for designing mine tunnel is characterized in that, comprising:

Obtain the tunnel axis information in mine, and and the pairing drift section information of described tunnel axis information; And, generate temporary working according to described tunnel axis information and drift section information;

According to the mine three-dimensional geological model that prestores, obtain the three-dimensional relationship in described temporary working and tomography, ore body and existing tunnel, and upgrade described tunnel axis information and/or drift section information according to described three-dimensional relationship;

Described tunnel axis information and/or drift section information according to after upgrading generate formal tunnel.

2. method for designing mine tunnel according to claim 1 is characterized in that, and is described according to tunnel axis information and drift section information, generates temporary working, comprising:

According to described tunnel axis information and drift section information, generate tunnel axis and drift section respectively; Described drift section is drawn along described tunnel axis, generate tunnel profile, and generate temporary working according to described tunnel profile corresponding to described drift section information;

Described tunnel profile comprises the interior profile of described temporary working and the outline of described temporary working.

3. method for designing mine tunnel according to claim 2 is characterized in that, described generation tunnel axis comprises:

According to the tunnel axis type information in the axis information of described tunnel, tunnel axis starting point coordinate information and tunnel axis terminal point coordinate information, generate described tunnel axis;

Described tunnel axis type information is that described tunnel axis is straight line or circular arc.

4. method for designing mine tunnel according to claim 2 is characterized in that, described generation comprises corresponding to the tunnel profile of described drift section information:

According to profile information in the drift section in the described drift section information and tunnel outline information, generate respectively corresponding to the interior profile of the described temporary working of profile information in the described drift section with corresponding to the outline of the described temporary working of described drift section outline information;

Drift section type information in the described drift section information be described drift section be shaped as semicircle arch or circle.

5. method for designing mine tunnel according to claim 3 is characterized in that, described described drift section is drawn along described tunnel axis before, also comprise:

According to the direction of described tunnel axis starting point coordinate information and described tunnel axis, generate translation matrix and spin matrix;

According to described translation matrix and spin matrix, described drift section is moved to the starting point of described tunnel axis, and make described drift section at the starting point place of described tunnel axis and the tangent line quadrature of described tunnel axis direction.

6. method for designing mine tunnel according to claim 1 is characterized in that, the described three-dimensional relationship of obtaining described temporary working and tomography comprises:

The curved surface of described tomography is divided into some triangles;

Obtain described temporary working and whether pass through described tomography according to described tunnel axis and described if leg-of-mutton three-dimensional position relation, and the collision angle when obtaining described temporary working and passing through described tomography.

7. method for designing mine tunnel according to claim 6 is characterized in that, according to the three-dimensional relationship of described temporary working and tomography, upgrades described tunnel axis information and/or drift section information, comprising:

Three-dimensional relationship according to described temporary working and tomography, if to preestablish three-dimensional relationship is that described temporary working can not pass through described tunnel tomography, and the three-dimensional relationship of in fact described temporary working and tomography to be described temporary working pass through described tomography; Perhaps preestablishing three-dimensional relationship is that described temporary working can pass through described tomography, but temporary working described in the three-dimensional relationship of described temporary working and tomography passes through the angle of described tomography and does not meet described collision angle, then upgrades described tunnel axis information and/or drift section information.

8. method for designing mine tunnel according to claim 1 is characterized in that, the described three-dimensional relationship of obtaining described temporary working and ore body comprises:

The curved surface of the base plate of described ore body is divided into some triangles;

And the axis of described temporary working is divided into plurality of sections;

Each waypoint and described some leg-of-mutton three-dimensional position relations according to described plurality of sections correspondence, obtain first beeline of the base plate of described each waypoint and described ore body respectively, described first beeline is the distance of described each waypoint and described some triangles inside or border point line.

9. method for designing mine tunnel according to claim 8 is characterized in that, according to the three-dimensional relationship of described temporary working and ore body, upgrades described tunnel axis information and/or drift section information, comprising:

Whether first beeline of base plate of judging described each waypoint and described ore body is less than first threshold, if not, waypoint place in the described first beeline maximum of correspondence, adjust the three-dimensional relationship of the axis of described temporary working, upgrade described tunnel axis information and/or drift section information accordingly with respect to the base plate of described ore body.

10. method for designing mine tunnel according to claim 9 is characterized in that, and is described at the waypoint place of the described first beeline maximum of correspondence, adjusts the three-dimensional relationship of the axis of described temporary working with respect to the base plate of described ore body, comprising:

Waypoint place in the described first beeline maximum of correspondence, the axis of described temporary working is cut off, by the axis of the temporary working at this waypoint place is dilatory up or down, first beeline of base plate that makes this waypoint and described ore body is less than first threshold.

11. method for designing mine tunnel according to claim 1 is characterized in that, the described three-dimensional relationship of obtaining described temporary working and existing tunnel comprises:

If described temporary working is not article one tunnel in the mine working network, obtain the axis beeline vector between the axis in the axis of described temporary working and described existing tunnel, described axis beeline vector one end places on the axis of described temporary working, and the other end places on the axis in described existing tunnel;

Obtain first distance and the other end of described axis beeline vector and the second distance of described existing drift section outline of the outline of end of described axis beeline vector and described temporary working respectively;

And, generate described second beeline according to described axis beeline vector, first distance and second distance.

12. method for designing mine tunnel according to claim 11 is characterized in that, according to described three-dimensional relationship, upgrades described tunnel axis information and/or drift section information, comprising:

Whether judge described second beeline less than second threshold value, if then upgrade described tunnel axis information and/or drift section information.

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