CN115060236A - Inclination measuring device and method - Google Patents

Inclination measuring device and method Download PDF

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Publication number
CN115060236A
CN115060236A CN202210683137.6A CN202210683137A CN115060236A CN 115060236 A CN115060236 A CN 115060236A CN 202210683137 A CN202210683137 A CN 202210683137A CN 115060236 A CN115060236 A CN 115060236A
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sections
pressure oil
pipes
oil pipes
axis
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CN115060236B (en
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熊娟
吴志祥
孙广存
王家伟
焦健
于超
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Beijing Zhongguancun Zhilian Safety Science Research Institute Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C9/00Measuring inclination, e.g. by clinometers, by levels
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Abstract

The invention provides an inclination measuring device and method, comprising the following steps: s1, determining the central angle of the n sections of high-pressure oil pipes according to the inclination angle of the n sections of steel pipes and the inclination angle of the n +1 sections of steel pipes; s2, determining the displacement of the n sections of high-pressure oil pipes through a trigonometric function according to the central angles of the n sections of high-pressure oil pipes; and S3, determining the displacement of the sections of high-pressure oil pipes and the displacement of the sections of steel pipes, and accumulating the displacement. In the invention, the inclination of each section of high-pressure oil pipe is determined through the trigonometric function relationship, and the inclination of each section of steel pipe is combined, so that the data measured by the inclination measuring device is more accurate.

Description

Inclination measuring device and method
Technical Field
The invention relates to the technical field of inclination measurement, in particular to an inclination measurement device and method.
Background
The torsion phenomenon of the inclinometer pipe in actual engineering generally exists, and mainly focuses on two aspects, namely, the phenomenon is generated in the process of lowering the inclinometer pipe for the first time, because the depth of a measuring hole is deeper, and the inclinometer pipe is formed by splicing, when the orifice of a sectional lower pipe is connected into a required arc length, the guide grooves are not easy to align; the weak soil is easily contracted, and buoyancy is big in the hole drilling, leads to factors such as lower pipe leisure difficulty to make the deviational survey pipe of burying in the soil body easily take place to twist, hardly guarantees when transferring to hang down to the deviational survey hole bottom, probably produces the torsion of deviational survey pipe. Secondly, after the inclinometer pipe is fixed, the PVC inclinometer pipe has poor deformation stability due to the fact that the deep part of the inclinometer pipe is subjected to the action force of a rock stratum for a long time, and the PVC inclinometer pipe not only can incline but also can twist due to uneven stress.
In the prior art, when an inclinometer is used for inclination measurement, only the slope of a steel pipe is considered, but the slope of a high-pressure oil pipe connected between the steel pipes is not considered, so that data measured by the inclinometer has deviation, and the data accuracy is low.
Disclosure of Invention
In view of the above, the present invention provides an inclinometer and a method thereof.
In order to solve the technical problems, the invention adopts the technical scheme that:
in a first aspect, a inclinometer apparatus, includes:
the inclinometer pipe consists of a plurality of sections of steel pipes and a plurality of sections of high-pressure oil pipes;
two ends of the inclinometer pipe are respectively provided with a steel pipe, and a high-pressure oil pipe is connected between any two steel pipes.
In a second aspect, a method of inclinometry, comprising:
s1, determining the central angle of the n sections of high-pressure oil pipes according to the inclination angle of the n sections of steel pipes and the inclination angle of the n +1 sections of steel pipes;
s2, determining the displacement of the n sections of high-pressure oil pipes through a trigonometric function according to the central angles of the n sections of high-pressure oil pipes;
and S3, determining the displacement of the sections of high-pressure oil pipes and the displacement of the sections of steel pipes, and accumulating the displacement.
Optionally, step S1 specifically includes:
and calculating the angle difference between the inclination angle of the n +1 section of steel pipe and the inclination angle of the n section of steel pipe, wherein the angle difference is the central angle of the n section of high-pressure oil pipe.
Optionally, step S2 specifically includes:
s21, obtaining the arc length of the n sections of high-pressure oil pipes;
s22, determining the radius of the n sections of high-pressure oil pipes according to the central angle of the n sections of high-pressure oil pipes and the arc length of the n sections of high-pressure oil pipes;
s23, determining the chord length of the n sections of high-pressure oil pipes according to the radius of the n sections of high-pressure oil pipes and the central angle of the n sections of high-pressure oil pipes;
and S24, determining the displacement of the n sections of high-pressure oil pipes according to the chord lengths of the n sections of high-pressure oil pipes.
Optionally, the arc length of the n sections of high pressure oil pipes is the length of the n sections of high pressure oil pipes.
Optionally, step S22 specifically includes:
according to the formula
Figure RE-GDA0003746008040000021
Determining the radius of n sections of high-pressure oil pipes;
wherein R is n Is the radius of n sections of high-pressure oil pipe, S n Is the length of n sections of high-pressure oil pipes, A n Is the central angle of n sections of high-pressure oil pipes.
Optionally, step S23 specifically includes:
according to the formula
Figure RE-GDA0003746008040000022
Determining the chord length of n sections of high-pressure oil pipes;
wherein L is n Is the chord length of n sections of high-pressure oil pipes, R n Is the radius of n sections of high-pressure oil pipe, A n Is the central angle of n sections of high-pressure oil pipes.
Optionally, step S24 specifically includes:
taking the bottom end of the inclinometer as a base point, and making three mutually perpendicular X-axis, Y-axis and Z-axis through the base point;
according to the formula
Figure RE-GDA0003746008040000031
Determining X-axis displacement of n sections of high-pressure oil pipes;
according to the formula
Figure RE-GDA0003746008040000032
Determining Y-axis displacement of n sections of high-pressure oil pipes;
according to the formula
Figure RE-GDA0003746008040000033
Determining the Z-axis displacement of n sections of high-pressure oil pipes;
wherein Sn is the length of n sections of high-pressure oil pipes, alpha n x is the included angle between the projection of the n sections of high-pressure oil pipes on the XOZ plane and the Z axis, and alpha (n+1) x is the included angle between the projection of the n +1 sections of high-pressure oil pipes on the XOZ plane and the Z axis, and alpha n y is the included angle between the projection of the n sections of high-pressure oil pipes on the YOZ plane and the Z axis, and alpha (n+1) y is the included angle between the projection of the n +1 high-pressure oil pipe on the YOZ plane and the Z axis, and alpha n Z is the included angle between the n sections of high-pressure oil pipes and the Z axis, alpha (n+1) And Z is an included angle between the n +1 sections of high-pressure oil pipes and the Z axis.
Optionally, step S3 specifically includes:
according to the formula Δ X n straight line =sinα n cosθ n L n -sinα n ′cosθ n ′L n Determining X-axis displacement of n sections of steel pipes;
according to the formula Δ Y n straight line =sinα n sinθ n L n -sinαx′sinθ n ′L n Determining Y-axis displacement of n sections of steel pipes;
according to the formula Δ Z n straight line =(cosα n -cosα n ')L n Determining the Z-axis displacement of n sections of steel pipes;
wherein Ln is the length of n sections of steel pipes, a n To detect the inclination angle between the Z axis and the n-section steel pipe in the state, theta n When the n sections of steel pipes are projected on the plane where the X axis is located in a detection state, the included angle a between the n sections of steel pipes and the X axis n ' is the angle of inclination between the Z axis and the n sections of steel pipes in the initial state, theta n The' is the included angle between the n sections of steel pipes and the X axis when the n sections of steel pipes are projected on the plane where the X axis is located in the initial state.
Optionally, step S3 further includes:
ΔX n =ΔX n straight line + Δ X n A circular arc;
ΔY n =ΔY n straight line + Δ Y n A circular arc;
ΔZ n =ΔZ n straight line + Δ Z n A circular arc.
The invention has the advantages and positive effects that:
in the invention, the inclination of the whole inclinometer pipe can be determined by determining the inclination of each section of steel pipe and the inclination of each section of high-pressure oil pipe, so that the inclination data of the inclinometer pipe can be more accurately measured.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention and not to limit the invention. In the drawings:
FIG. 1 is a connecting structure diagram of a steel pipe and a high pressure oil pipe according to the present invention;
FIG. 2 is a flow chart of a method of inclinometry of the present invention;
FIG. 3 is a schematic view in the XZ plane of an inclinometer of the present invention;
in the figure: 1. a steel pipe; 2. a high pressure oil pipe; 3. an inclinometer tube.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without making any creative effort based on the embodiments in the present invention, belong to the protection scope of the present invention.
It will be understood that when an element is referred to as being "secured to" another element, it can be directly on the other element or intervening elements may also be present. When a component is referred to as being "connected" to another component, it can be directly connected to the other component or intervening components may also be present. When a component is referred to as being "disposed on" another component, it can be directly on the other component or intervening components may also be present. The terms "vertical," "horizontal," "left," "right," and the like as used herein are for illustrative purposes only.
Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. The terminology used in the description of the invention herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.
An inclinometer, as shown in fig. 1, comprising:
the inclinometer pipe consists of a plurality of sections of steel pipes and a plurality of sections of high-pressure oil pipes;
two ends of the inclinometer pipe are respectively provided with a steel pipe, and a high-pressure oil pipe is connected between any two steel pipes.
The steel pipe is an inflexible pipe, and the high-pressure oil pipe is a flexible pipe, and when the inclinometer pipe is inclined, the high-pressure oil pipe may be slightly bent, but the steel pipe is inclined only along with the inclination of the inclinometer pipe, but is not bent.
In the invention, the number of the steel pipes and the high-pressure oil pipes can be set according to actual conditions, and is not particularly limited, so that the requirements of different scenes are met, and the design flexibility is improved.
A method of inclinometry, as shown in figure 2, comprising:
s1, determining the central angle of the n sections of high-pressure oil pipes according to the inclination angle of the n sections of steel pipes and the inclination angle of the n +1 sections of steel pipes;
step S1 specifically includes:
and calculating the angle difference between the inclination angle of the n +1 section of steel pipe and the inclination angle of the n section of steel pipe, wherein the angle difference is the central angle of the n section of high-pressure oil pipe.
Referring to fig. 3, in the XZ plane, the thickened lower straight line segment represents the nth section of steel pipe, the thickened upper straight line segment represents the (n + 1) th section of steel pipe, and the thickened arc line segment represents the nth section of high-pressure oil pipe because the high-pressure oil pipe is a flexible pipe.
Center angle A of nth section high pressure oil pipe n =α (n+1)XnX Wherein α is radian and signed.
S2, determining the displacement of the n sections of high-pressure oil pipes through a trigonometric function according to the central angles of the n sections of high-pressure oil pipes;
step S2 specifically includes:
s21, obtaining the arc length of n sections of high-pressure oil pipes;
the arc length of the n sections of high-pressure oil pipes is the length of the n sections of high-pressure oil pipes, and the lengths of the high-pressure oil pipes are the same and are S n
S22, determining the radius of the n sections of high-pressure oil pipes according to the central angle of the n sections of high-pressure oil pipes and the arc length of the n sections of high-pressure oil pipes;
in particular, according to the formula
Figure RE-GDA0003746008040000061
Determining the radius of n sections of high-pressure oil pipes;
wherein R is n Is the radius of n sections of high-pressure oil pipe, S n Is the length of n sections of high-pressure oil pipes, A n Is the central angle of n sections of high-pressure oil pipes.
S23, determining the chord length of the n sections of high-pressure oil pipes according to the radius of the n sections of high-pressure oil pipes and the central angle of the n sections of high-pressure oil pipes;
in particular, according to the formula
Figure RE-GDA0003746008040000062
Determining the chord length of n sections of high-pressure oil pipes;
wherein L is n Is the chord length of n sections of high-pressure oil pipes, R n Is the radius of n sections of high-pressure oil pipe, A n Is the central angle of n sections of high-pressure oil pipes.
And S24, determining the displacement of the n sections of high-pressure oil pipes according to the chord lengths of the n sections of high-pressure oil pipes.
Taking the bottom end of the inclinometer as a base point, and making three mutually vertical X-axis, Y-axis and Z-axis through the base point;
according to the formula
Figure RE-GDA0003746008040000071
Determining X-axis displacement of n sections of high-pressure oil pipes;
according to the formula
Figure RE-GDA0003746008040000072
Determining Y-axis displacement of n sections of high-pressure oil pipes;
according to the formula
Figure RE-GDA0003746008040000073
Determining the Z-axis displacement of n sections of high-pressure oil pipes;
wherein Sn is the length of n sections of high-pressure oil pipes, alpha n x is the included angle between the projection of the n sections of high-pressure oil pipes on the XOZ plane and the Z axis, and alpha (n+1) x is the included angle between the projection of the n +1 sections of high-pressure oil pipes on the XOZ plane and the Z axis, and alpha n y is the included angle between the projection of the n sections of high-pressure oil pipes on the YOZ plane and the Z axis, and alpha (n+1) y is the included angle between the projection of the n +1 high-pressure oil pipe on the YOZ plane and the Z axis, and alpha n Z is the included angle between the n sections of high-pressure oil pipes and the Z axis, alpha (n+1) And Z is an included angle between the n +1 sections of high-pressure oil pipes and the Z axis.
And S3, determining the displacement of the sections of high-pressure oil pipes and the displacement of the sections of steel pipes, and accumulating the displacement.
Specifically, the amount of displacement of the steel pipe can be determined by:
according to the formula Δ X n straight line =sinα n cosθ n L n -sinα n ′cosθ n ′L n Determining X-axis displacement of n sections of steel pipes;
according to the formula Δ Y n straight line =sinα n sinθ n L n -sinα n ′sinθ n ′L n Determining Y-axis displacement of n sections of steel pipes;
according to the formula Δ Z n straight line =(cosα n -cosα n ')L n Determining the Z-axis displacement of n sections of steel pipes;
explaining one point, an accelerometer is arranged at the central position of each section of steel pipeThe over-accelerometer measures the data of the gravity acceleration in different axial directions, thereby calculating a n 、a n '、θ n And theta n '。
The initial acceleration data measured by the accelerometer are (Ax1 ', Ay 1', Az1 '), (Ax 2', Ay2 ', Az 2'), (Ax3 ', Ay 3', Az3 ') … (Ax n', Ayn ', Azn');
the measured real-time acceleration data is (Ax1, Ay1, Az1), (Ax2, Ay2, Az2), (Ax3, Ay3, Az3) … (Axn, Ayn, Azn) by the accelerometer;
Figure RE-GDA0003746008040000081
Figure RE-GDA0003746008040000082
Figure RE-GDA0003746008040000083
Figure RE-GDA0003746008040000084
θ n =atan2(Azn,Axn);
θ n '=atan2(Az n ',Ax n ');
a to be calculated n 、a n '、θ n And theta n ', brought into the above formula DeltaX n Straight line, Δ Y n Straight line sum Δ Z n Straight line, can calculate Δ X n Straight line, Δ Y n Straight line sum Δ Z n A straight line.
Wherein Ln is the length of n sections of steel pipes, a n To detect the inclination angle theta between the n-section steel pipe and the Z axis n When the n sections of steel pipes are projected on the plane where the X axis is located in a detection state, the included angle a between the n sections of steel pipes and the X axis n ' is the angle of inclination between the Z axis and the n sections of steel pipes in the initial state, theta n The' is the included angle between the n sections of steel pipes and the X axis when the n sections of steel pipes are projected on the plane where the X axis is located in the initial state.
In addition, after the X-axis displacement, the Y-axis displacement and the Z-axis displacement of a plurality of sections of steel pipes are calculated, the X-axis displacement, the Y-axis displacement and the Z-axis displacement of a plurality of sections of high-pressure oil pipes are determined, so that the overall displacement of the inclinometer can be obtained, namely:
ΔX n =ΔX n straight line + Δ X n A circular arc;
ΔY n =ΔY n straight line + Δ Y n Circular arc;
ΔZ n =ΔZ n straight line + Δ Z n A circular arc.
Therefore, in the invention, the inclination of the whole inclinometer can be determined by determining the inclination of each section of steel pipe and the inclination of each section of high-pressure oil pipe, namely, compared with the prior art, the inclination of the high-pressure oil pipe is considered, so that the data measured by the inclinometer is more accurate.
The embodiments of the present invention have been described in detail, but the description is only for the preferred embodiments of the present invention and should not be construed as limiting the scope of the present invention. All equivalent changes and modifications made within the scope of the present invention should be covered by the present patent.

Claims (10)

1. An inclinometer device, comprising:
the inclinometer pipe consists of a plurality of sections of steel pipes and a plurality of sections of high-pressure oil pipes;
two ends of the inclinometer pipe are respectively provided with a steel pipe, and a high-pressure oil pipe is connected between any two steel pipes.
2. A method based on an inclinometer according to claim 1, comprising:
s1, determining the central angle of the n sections of high-pressure oil pipes according to the inclination angle of the n sections of steel pipes and the inclination angle of the n +1 sections of steel pipes;
s2, determining the displacement of the n sections of high-pressure oil pipes through a trigonometric function according to the central angles of the n sections of high-pressure oil pipes;
and S3, determining the displacement of the sections of high-pressure oil pipes and the displacement of the sections of steel pipes, and accumulating the displacement.
3. The inclinometry method according to claim 2, wherein step S1 specifically includes:
and calculating the angle difference between the inclination angle of the n +1 section of steel pipe and the inclination angle of the n section of steel pipe, wherein the angle difference is the central angle of the n section of high-pressure oil pipe.
4. The inclinometry method according to claim 2, wherein step S2 specifically includes:
s21, obtaining the arc length of the n sections of high-pressure oil pipes;
s22, determining the radius of the n sections of high-pressure oil pipes according to the central angle of the n sections of high-pressure oil pipes and the arc length of the n sections of high-pressure oil pipes;
s23, determining the chord length of the n sections of high-pressure oil pipes according to the radius of the n sections of high-pressure oil pipes and the central angle of the n sections of high-pressure oil pipes;
and S24, determining the displacement of the n sections of high-pressure oil pipes according to the chord lengths of the n sections of high-pressure oil pipes.
5. The method of claim 4, wherein the arc length of the n sections of high pressure tubing is the length of the n sections of high pressure tubing.
6. The inclinometry method according to claim 5, wherein step S22 specifically comprises:
according to the formula
Figure FDA0003695681650000011
Determining the radius of n sections of high-pressure oil pipes;
wherein R is n Is the radius of n sections of high-pressure oil pipe, S n Is the length of n sections of high-pressure oil pipes, A n Is the central angle of n sections of high-pressure oil pipes.
7. The inclinometry method according to claim 6, wherein step S23 specifically includes:
according to the formula
Figure FDA0003695681650000021
Determining the chord length of n sections of high-pressure oil pipes;
wherein L is n Is the chord length of n sections of high-pressure oil pipes, R n Is the radius of n sections of high-pressure oil pipe, A n Is the central angle of n sections of high-pressure oil pipes.
8. The inclinometry method according to claim 7, wherein step S24 specifically includes:
taking the bottom end of the inclinometer as a base point, and making three mutually vertical X-axis, Y-axis and Z-axis through the base point;
according to the formula
Figure FDA0003695681650000022
Determining X-axis displacement of n sections of high-pressure oil pipes;
according to the formula
Figure FDA0003695681650000023
Determining Y-axis displacement of n sections of high-pressure oil pipes;
according to the formula
Figure FDA0003695681650000024
Determining the Z-axis displacement of n sections of high-pressure oil pipes;
wherein Sn is the length of n sections of high-pressure oil pipes, alpha n x is the included angle between the projection of the n sections of high-pressure oil pipes on the XOZ plane and the Z axis, and alpha (n+1) x is the included angle between the projection of the n +1 sections of high-pressure oil pipes on the XOZ plane and the Z axis, and alpha n y is the included angle between the projection of the n sections of high-pressure oil pipes on the YOZ plane and the Z axis, and alpha (n+1) y is the included angle between the projection of the n +1 high-pressure oil pipe on the YOZ plane and the Z axis, and alpha n Z is the included angle between the n sections of high-pressure oil pipes and the Z axis, and alpha (n+1) And Z is an included angle between the n +1 sections of high-pressure oil pipes and the Z axis.
9. The inclinometry method according to claim 8, wherein step S3 specifically includes:
according to the formula Δ X n straight line =sinα n cosθ n L n -sinα′ n cosθ′ n L n Determining X-axis displacement of n sections of steel pipes;
according to the formula Δ Y n straight line =sinα n sinθ n L n -sinα n ′sinθ n ′L n Determining Y-axis displacement of n sections of steel pipes;
according to the formula Δ Z n straight line =(cosα n -cosα n ')L n Determining the Z-axis displacement of n sections of steel pipes;
wherein Ln is the length of n sections of steel pipes, a n To detect the inclination angle theta between the n-section steel pipe and the Z axis n When the n sections of steel pipes are projected on the plane of the X axis under the detection state, the included angle a between the n sections of steel pipes and the X axis n ' is the angle of inclination between the Z axis and the n sections of steel pipes in the initial state, theta n The' is the included angle between the n sections of steel pipes and the X axis when the n sections of steel pipes are projected on the plane where the X axis is located in the initial state.
10. The method according to claim 9, wherein step S3 further comprises:
ΔX n =ΔX n straight line + Δ X n A circular arc;
ΔY n =ΔY n straight line + Δ Y n A circular arc;
ΔZ n =ΔZ n straight line + Δ Z n A circular arc.
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CN208780186U (en) * 2018-07-17 2019-04-23 华思(广州)测控科技有限公司 A kind of novel array inclinometer
CN112813952A (en) * 2021-03-04 2021-05-18 广州芯诚智控科技有限公司 Flexible inclinometer integrating inclinometry and torsion measurement
CN113739705A (en) * 2021-08-30 2021-12-03 武汉地震工程研究院有限公司 Method for monitoring transverse displacement of member based on segmented arc splicing algorithm
CN215177636U (en) * 2021-09-22 2021-12-14 北京瑞威工程检测有限公司 Displacement monitoring device for tunnel exit retaining wall slope protection

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