CN103590815B - A kind of Two-staged technique is measured and calculation method - Google Patents

Abstract

A kind of Two-staged technique is measured and calculation method, and its measuring method mainly includes following process: (1) two steel wires in two pit shafts as known point；(2) virtual orientation angle, virtual orientation angle as observation, its precision is equal to the precision of down-hole angular observation, i.e. according to the azimuth on AB limit in coordinate axes circumgyration calculation assumption coordinate system；(3) longitudinal and transverse coordinate condition equation is listed, according to measuring condition adjustment method principle march adjustment；(4) azimuth of connection wire each edge is calculated according to angular adjustment value.

Description

A kind of Two-staged technique is measured and calculation method

Technical field

The present invention relates to a kind of mine underground well azimuthal measurement technology, particularly a kind of Two-staged technique is measured and resolving side Method.

Background technology

The principal element affecting Two-staged technique precision is that edge error is measured in down-hole, particularly vertical with two well on lines when polygon leg Time, therefore, when carrying out Two-staged technique, become approximation directly to stretch shape down-hole traverse layout in order to the amount of making limit is missed as far as possible The impact of Two-staged technique precision is reduced to minimum with length of side value by difference, when down-hole connection wire is indentation, relies primarily on and carries The field operation precision on high underground amount limit or employing side condition adjustment method, but it was verified that side condition adjustment method can not be effective Ground improves calculation accuracy and the accuracy of Two-staged technique achievement, it addition, the raising of amount limit, down-hole precision is also limited.

Summary of the invention

It is an object of the invention to overcome the above-mentioned deficiency of prior art to provide a kind of Two-staged technique to measure and calculation method, It can eliminate underground survey error and down-hole connects length travel and the lateral displacement that wire terminal produces such that it is able to notable Ground improves the azimuthal precision in downhole orientation limit and accuracy, is not limited by down-hole wire shape simultaneously, and i.e. it can be suitable for Wire is connected in the down-hole of any shape.

The technical scheme is that a kind of Two-staged technique is measured and calculation method, its measuring method mainly includes following Several processes: (1) two steel wires in two pit shafts as known point；(2) virtual orientation angle, virtual orientation angle as sight Measured value, its precision is equal to the precision of down-hole angular observation, i.e. according to AB limit in coordinate axes circumgyration calculation assumption coordinate system Azimuth；(3) longitudinal and transverse coordinate condition equation is listed, according to measuring condition adjustment method principle march adjustment；(4) according to angle Degree adjusted value calculates the azimuth connecting wire each edge.

A, B are two plumb bob line points in two vertical shafts, and the coordinate that A, B are 2 is connected traverse survey by ground and determines, The underworkings of two vertical shafts of connection lays the Non-orientated Connecting Traverse being made up of known point A, B, virtual at the left end of wire One observation X_{0 (right)}(i.e. orientation angle), by two coordinate conditions in length and breadth, with A as zero,While be X, " axle is set up Assuming that rectangular coordinate system X " AY ", the geographical coordinates inverse of A, B 2 try to achieve: X_A=0, Y "_A=0,(in formulaBeing tried to achieve by the geographical coordinates inverse of A, B 2, R is earth curvature half Footpath, H is mine shaft depth), Y '_B=0.

The length of side value of wire is respectively as follows: S₁、S₂、S₃、……S_x, the left comer observation of wire is respectively as follows: β₁、β₂、β₃、…… β_x-1, the azimuth of each polygon leg is respectively as follows: (12) ", (23) ", (34) " ... (nB) ", we can conform to lead according to coordinate It is as follows that coordinate condition equation in length and breadth set up by line:

Formed normal equation by conditional equation to obtain:

$\[\frac{aa}{p}\]*k_a+\[\frac{ab}{p}\]*k_b+f_X=0$

$\[\frac{ab}{p}\]*k_a+\[\frac{bb}{p}\]*k_b+f_Y=0$

In formula,The precision approximation equivalent down-hole angle of dummy observation The precision of observation,

Because Two-staged technique precision is not had by amount edge system error Impact, thereforef_x=X '_B(calculation)-X '_B, f_Y=Y '_B(calculation)-Y '_B, OrIn assumed coordinate system X ' A Y ' permissible Try to achieve the coordinate X ' of down-hole wire terminal_B、Y′_B, can be in the hope of observation and dummy observation according to conditional equation and normal equation Correction and adjusted value thereof.

The present invention compared with prior art has a characteristic that eliminating underground survey error connects wire terminal to down-hole The length travel produced and lateral displacement such that it is able to significantly increase the azimuthal precision in downhole orientation limit and accuracy, no Being limited by down-hole wire shape, it is applicable to the down-hole of any shape and connects wire.

Below in conjunction with the drawings and specific embodiments, the detailed construction of the present invention is further described.

Accompanying drawing explanation

Accompanying drawing 1 is down-hole Non-orientated Connecting Traverse artwork；

Accompanying drawing 2 is that aboveground, the down-hole of Two-staged technique connect figure.

Variable declaration: S₁、S₂、S₃、……S_nRepresent each bar length of side observation of down-hole wire, β₁、β₂、β₃、……β_n-1Table Show all angles observation (left comer) of down-hole wire, (12) ", (23) ", (34) " ... (nB) " represents each bar polygon leg Azimuth,Represent the correction of each bar length of side observation,Represent each The correction of individual angular observation,Represent the correction of dummy observation (" right " refers to right corner), suppose rectangular coordinate system In X " A Y ", each traverse point coordinate can be obtained according to virtual right corner with the length of side and angular observation, (x "₁, y "₁)、(x″₂, y″₂)、(x″₃, y "₃)、(x″_n, y "_n)、(X″_{B (calculates)}, Y "_{B (calculates)}) represent the longitudinal and transverse coordinate of each traverse point,

f_X、f_YRepresent coordinate mis-tie misclosure in length and breadth, k respectively_a、k_bCoefficient of association for normal equation；m_βRepresent angular observation or The middle error of dummy observation,Representing the middle error of each bar length of side observation, a, b represent down-hole amount edge system error system respectively Number and amount limit incidental error coefficient,Represent all angles observation and virtual sight respectively The power of measured value,Represent the power of each bar length of side observation

Detailed description of the invention

As shown in Figure 1: A, B are two plumb bob line points in two vertical shafts, and the coordinate that A, B are 2 is connected wire by ground Measurement determines, lays the Non-orientated Connecting Traverse being made up of known point A, B, at wire in the underworkings of two vertical shafts of connection Virtual observation X of left end_{0 (right)}(i.e. orientation angle), by two coordinate conditions in length and breadth, with A as zero,Bian Wei X " axle is set up and supposed rectangular coordinate system X " AY ", the geographical coordinates inverse of A, B 2 tries to achieve: X "_A=0, Y "_A=0,(in formulaBeing tried to achieve by the geographical coordinates inverse of A, B 2, R is earth curvature half Footpath, H is mine shaft depth), Y "_B=0.

The length of side value of wire is respectively as follows: S₁、S₂、S₃、……S_n, the left comer observation of wire is respectively as follows: β₁、β₂、β₃、…… β_x-1, the azimuth of each polygon leg is respectively as follows: (12) ", (23) ", (34) " ... (nB) ", we can conform to lead according to coordinate It is as follows that coordinate condition equation in length and breadth set up by line:

Formed normal equation by conditional equation to obtain:

$\[\frac{aa}{p}\]*k_a+\[\frac{ab}{p}\]*k_b+f_X=0$

$\[\frac{ab}{p}\]*k_a+\[\frac{bb}{p}\]*k_b+f_Y=0$

In formula,The precision approximation equivalent down-hole angle of dummy observation The precision of observation,

Because Two-staged technique precision is not had by amount edge system error Have an impact, thereforef_x=X '_B(calculation)-X '_B, f_Y=Y '_B(calculation)-Y '_B, OrIn assumed coordinate system X ' A Y ' permissible Try to achieve the coordinate X ' of down-hole wire terminal_B、Y′_B, can be in the hope of observation and dummy observation according to conditional equation and normal equation Correction and adjusted value thereof.

Example one: as shown in Figure 2, in figure, solid line is aboveground 5 seconds level wires, and single dotted line is the 7 seconds level wires in down-hole, double void Line is that down-hole adds the directed edge surveying gyrobearing.Wire amount limit, down-hole incidental error coefficient a=0.0004, b=0.00005, two Well plumb bob distance between centers of tracks is 54.6 meters, and pit shaft is 200 meters deeply, and the linear discrepancy of pit shaft plumb bob line cultellation is e=± 1mm, point for shaft position 1 272 ° 37 ' 50 of azimuth to coal bunker ", the coordinate of point for shaft position 1 is X_I=9208.973m, Y_I=8439.580m, downhole orientation limit 6-7 uses JT15 gyrotheodolite adding peg-top azimuths surveyed, and during it once orients, error is ± 17.1 seconds, the gyro side of directed edge Parallactic angle is 55 ° 46 ' 00.4 ", the observation data of underground are shown in Table 1.

Underground observation tables of data during table 1 Two-staged technique

The method using computer EXCEL program calculation, result of calculation is shown in Table 2.

Table 2

Example two: certain ore deposit individual well orientation and down-hole aboveground connection wire are as in figure 2 it is shown, from a well geometric orientation survey data In learn, pit shaft is 496 meters deeply, ground angle measurement use Su Guang J2, mean square error of angle observation is ± 5 seconds, face length limit, ground nominal accuracy (5±5×10^-6The diastimeter of) × D (millimeter) is observed, and the connection limit steel ruler connected in triangle is measured, amount limit, ground precision Desirable M₁=± 5 millimeter, down-hole amount edge error parameter is a=0.0004, b=0.00005, and setting point error takes ± 1.1 millimeters, fixed It is 96 ° 40 ' 12 to the azimuth on limit 1～2 ", the azimuth of directed edge 5～6 is 140 ° 35 ' 30 ", the steel wire coordinate of pit shaft A is X =5597.854, Y=9366.949, the steel wire coordinate of pit shaft B is X=5514.440, Y=9485.415, and other observes data It is shown in Table 3.

Borehole observation tables of data during table 3 Two-staged technique

Use computer EXCEL program calculation method, calculating the results are shown in Table 4.

Table 4

Claims (1)

1. Two-staged technique is measured and a calculation method, it is characterized in that: its measuring method mainly includes following process: (1) Two steel wires in two pit shafts as known point；(2) virtual orientation angle, virtual orientation angle as observation, its precision It is equal to the precision of down-hole angular observation, i.e. according to the azimuth on AB limit in coordinate axes circumgyration calculation assumption coordinate system；(3) List longitudinal and transverse coordinate condition equation, according to measuring condition adjustment method principle march adjustment；(4) calculate according to angular adjustment value Connect the azimuth of wire each edge；

A, B are two plumb bob line points in two vertical shafts, and the coordinate that A, B are 2 is connected traverse survey by ground and determines, in connection two The underworkings of individual vertical shaft lays the Non-orientated Connecting Traverse being made up of known point A, B, the virtual observation of left end at wire Value X_{0 (right)}, X_{0 (right)}For orientation angle, by two coordinate conditions in length and breadth, with A as zero,While be X, " axle is set up and is supposed right angle Coordinate system X " AY ", is tried to achieve by the geographical coordinates inverse of A, B 2: X "_A=0, Y "_A=0, In formulaBeing tried to achieve by the geographical coordinates inverse of A, B 2, R is radius of curvature of the earth, and H is mine shaft depth, Y "_B=0；

The length of side value of wire is respectively as follows: S₁、S₂、S₃、……S_n, the left comer observation of wire is respectively as follows: β₁、β₂、β₃、……β_n-1, The azimuth of each polygon leg is respectively as follows: (12) ", (23) ", (34) " ... (nB) ", set up according to coordinate connecting traverse and sit in length and breadth Mark conditional equation is as follows:

Formed normal equation by conditional equation to obtain:

$\[\frac{aa}{p}\]*k_a+\[\frac{ab}{p}\]*k_b+f_X=0$

$\[\frac{ab}{p}\]*k_a+\[\frac{bb}{p}\]*k_b+f_Y=0$

In formula,The precision approximation equivalent down-hole angular observation of dummy observation The precision of value,

Because amount edge system error does not has shadow to Two-staged technique precision Ring, thereforef_x=X '_B(calculation)-X '_B, f_Y=Y '_B(calculation) Y '_B, OrThe coordinate X ' of down-hole wire terminal is tried to achieve in assumed coordinate system X ' AY '_B、 Y′_B, try to achieve observation and the correction of dummy observation and adjusted value thereof according to conditional equation and normal equation.