JPH0712562A - Bend measuring method of hole - Google Patents

Bend measuring method of hole

Info

Publication number
JPH0712562A
JPH0712562A JP18222293A JP18222293A JPH0712562A JP H0712562 A JPH0712562 A JP H0712562A JP 18222293 A JP18222293 A JP 18222293A JP 18222293 A JP18222293 A JP 18222293A JP H0712562 A JPH0712562 A JP H0712562A
Authority
JP
Japan
Prior art keywords
hole
gyro
measured
accelerometer
measuring method
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP18222293A
Other languages
Japanese (ja)
Other versions
JP3339731B2 (en
Inventor
Hiroshi Takagi
博 高木
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Mitsubishi Precision Co Ltd
Original Assignee
Mitsubishi Precision Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Mitsubishi Precision Co Ltd filed Critical Mitsubishi Precision Co Ltd
Priority to JP18222293A priority Critical patent/JP3339731B2/en
Publication of JPH0712562A publication Critical patent/JPH0712562A/en
Application granted granted Critical
Publication of JP3339731B2 publication Critical patent/JP3339731B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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  • Length Measuring Devices With Unspecified Measuring Means (AREA)
  • Gyroscopes (AREA)

Abstract

PURPOSE:To obtain a measuring method in which the bend state of a vertical or nearly vertical hole is measured with high accuracy, continuously and in a short time. CONSTITUTION:The measuring method is a method in which the bend of a hole 12 in the vertical direction or the nearly vertical direction is measured by a probe 18 on which an accelerometer 20 and a gyro 22 have been mounted. Individual inclinations theta at the entrance 12I and the end 12E of the hole 12 are measured by the accelerometer 20, and an inclination between them is measured continuously by the gyro 22. The measuring method is constituted in such a way that the difference between the inclination value of the end 12E on the basis of the continuously measured value and the inclination value, of the end 12E of the hole 12, which has been measured by the accelerometer 20 is regarded as the drift of the gyro 22 having a definite drift rate within the continuous measuring time and that the continuously measured value is corrected.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】本発明は、加速度計とジャイロと
を搭載したプローブによる孔(管路も含む)の曲りを計
測する方法に関する。従って、3軸方向の加速度計と3
軸周りの各角速度を計測する3軸ジャイロとを有する慣
性センサを搭載したプローブを使用する場合も含まれ
る。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for measuring a bend in a hole (including a pipeline) by a probe equipped with an accelerometer and a gyro. Therefore, the 3-axis accelerometer and 3
This also includes the case of using a probe equipped with an inertial sensor having a three-axis gyro that measures each angular velocity around the axis.

【0002】[0002]

【従来の技術】孔の曲りを計測するには、一般に傾斜計
が使用されてきた。この傾斜計で計測する際には当該傾
斜計を停止させなければならない。
2. Description of the Related Art Inclinometers have generally been used to measure the bending of holes. When measuring with this inclinometer, the inclinometer must be stopped.

【0003】[0003]

【発明が解決しようとする課題】然しながら計測時に停
止させるため離散的にしか計測できず、孔の連続的な曲
り形状が計測し難いという問題があった。また、離散的
に移動させては計測するという手順を踏むために計測時
間を多く要するという問題もある。
However, since the measurement is stopped at the time of measurement, it is possible to measure only discretely and it is difficult to measure the continuous curved shape of the hole. In addition, there is also a problem that it takes a lot of measurement time to follow the procedure of moving and measuring discretely.

【0004】依って本発明は、孔の曲り状態を精度良く
連続的に、かつ短時間に計測する計測方法の提供を目的
とする。
Therefore, an object of the present invention is to provide a measuring method for measuring a bent state of a hole accurately and continuously in a short time.

【0005】[0005]

【課題を解決するための手段】上記目的に鑑みて本発明
は、加速度計とジャイロを搭載したプローブによって孔
の曲りを計測する方法であって、前記孔の入口と終端に
おける各傾斜を前記加速度計によって計測し、その間の
傾斜に関して前記ジャイロによって連続的に計測し、こ
の連続した計測値に基づく前記終端の傾斜値と前記加速
度計によって計測された孔の終端の傾斜値との差を、前
記連続計測時間内において一定なドリフトレートを有し
た前記ジャイロのドリフトであるとして前記連続した計
測値を補正することを特徴とする孔曲り計測方法を提供
する。
In view of the above-mentioned object, the present invention is a method for measuring the bending of a hole by a probe equipped with an accelerometer and a gyro, wherein each inclination at the entrance and the end of the hole is measured by the acceleration. A gyro, and the difference between the slope value at the end of the hole and the slope value at the end of the hole measured by the accelerometer is measured by the gyro. There is provided a hole bending measuring method characterized in that the continuous measurement value is corrected as a drift of the gyro having a constant drift rate within a continuous measurement time.

【0006】[0006]

【作用】加速度計では孔の入口と終端の2箇所を計測
し、またその入口から終端に亘ってジャイロにより連続
的に計測する。このジャイロにはジャイロドリフトとい
う不可避な計測誤差が付随するが、通常の計測において
は短時間に計測が終了することから、このドリフトレー
トはほぼ変化なく一定とみなせる。一方、ドリフトがな
ければ孔の終端における傾斜角度の加速度計による計測
値は、ジャイロによる終端の傾斜値と一致するはずであ
るから、差があればそれは上記ドリフトの分であるとみ
なせる。このドリフトを計測に要した時間で除せばドリ
フトレートが算定でき、このドリフトレートによって計
測値を補正すれば精度の高い孔曲り計測が可能になると
共に、ジャイロによる計測であるため連続的に短時間で
計測が可能となる。
The accelerometer measures two points, the entrance and the end of the hole, and continuously measures the gyro from the entrance to the end. This gyro is accompanied by an unavoidable measurement error called a gyro drift, but since the measurement is completed in a short time in normal measurement, this drift rate can be regarded as almost unchanged and constant. On the other hand, if there is no drift, the measured value of the tilt angle at the end of the hole by the accelerometer should match the tilt value at the end of the gyro, and if there is a difference, it can be regarded as the amount of the drift. If this drift is divided by the time required for measurement, the drift rate can be calculated. Correcting the measurement value with this drift rate enables highly accurate hole bending measurement, and because it is a gyro measurement, it is continuously short. It is possible to measure in time.

【0007】[0007]

【実施例】以下、本発明を添付図面に示す実施例に基づ
き、更に詳細に説明する。図1は本発明に係る孔曲り計
測方法の実施装置を示し、Aで示す部分は拡大図示して
いる。地中10に形成された鉛直又は鉛直に近い方向に
孔12が形成されており、地表に入口12Iが、地中に
その終端12Eが夫々位置している。
DESCRIPTION OF THE PREFERRED EMBODIMENTS The present invention will be described below in more detail based on the embodiments shown in the accompanying drawings. FIG. 1 shows an apparatus for carrying out the hole bending measuring method according to the present invention, and a portion indicated by A is an enlarged view. A hole 12 is formed in the ground 10 in a vertical direction or a direction close to the vertical direction, and an inlet 12I is located on the surface of the ground and a terminal 12E thereof is located in the ground.

【0008】この孔12の中は、車輪24を有して内部
に加速度計20とジャイロ22とを搭載したプローブ1
8が走行する。水平方向の2軸X,Yと鉛直方向軸Zと
からなる直交3軸X,Y,Zと各軸周りの回転角度φ,
θ,ψを図1のように定義する。地表のリール14に巻
回された牽引ロープ16によって引かれつつ孔12の中
を走行し、上記ジャイロ22によって連続的に孔12の
曲り状態を計測する。計測の初めと終りはそれぞれプロ
ーブ18を停止させて上記加速度計20によっても孔1
2の傾斜角度を計測する。以下では簡単のために孔12
の曲りの内、Y軸周りの回転角度θである傾斜状態につ
き説明する。
A probe 1 having a wheel 24 and an accelerometer 20 and a gyro 22 mounted therein is provided in the hole 12.
8 runs. Orthogonal three axes X, Y and Z composed of two horizontal axes X and Y and a vertical axis Z and a rotation angle φ around each axis.
θ and ψ are defined as shown in FIG. It travels in the hole 12 while being pulled by the tow rope 16 wound around the reel 14 on the surface of the earth, and the bent state of the hole 12 is continuously measured by the gyro 22. At the beginning and end of the measurement, the probe 18 is stopped and the accelerometer 20 is used to measure the hole 1
Measure the tilt angle of 2. Below, for the sake of simplicity, the hole 12
Among the bends, the tilted state that is the rotation angle θ around the Y axis will be described.

【0009】この計測結果を図2に示す。横軸は時間
t、縦軸は孔曲り角度θである。曲線θ1はジャイロ2
2による孔12の連続的な計測結果であり、計測時間t
=0の点PIと計測時間t=t0の点PEとは、加速度
計20による孔12の入口12Iと終端12Eでの計測
結果である。孔12の入口12Iではジャイロ22と加
速度計20による計測結果は一致しているが、終端12
Eでは角度θDだけ差を生じている。
The results of this measurement are shown in FIG. The horizontal axis represents time t, and the vertical axis represents the hole bending angle θ. Curve θ1 is gyro 2
2 is a continuous measurement result of the hole 12 by 2, and the measurement time t
A point PI of = 0 and a point PE of measurement time t = t0 are measurement results at the entrance 12I and the end 12E of the hole 12 by the accelerometer 20. At the entrance 12I of the hole 12, the measurement results of the gyro 22 and the accelerometer 20 match, but the end 12
At E, there is a difference by the angle θD.

【0010】これはジャイロ22にジャイロドリフトな
る計測誤差が付随するためである。加速度計20による
計測にはこのような誤差を伴わないので、孔12の終端
12Eにおけるジャイロ22による計測結果をこの加速
度計20による計測結果(点PE)に合致させる補正を
行うことは合理的である。
This is because the gyro 22 is accompanied by a measurement error called a gyro drift. Since the measurement by the accelerometer 20 does not involve such an error, it is rational to correct the measurement result by the gyro 22 at the end 12E of the hole 12 to match the measurement result (point PE) by the accelerometer 20. is there.

【0011】ここで、図3はジャイロ22によるドリフ
トを示している。既述の如く、ドリフトレートは一定と
考えてよいため、ジャイロ22での計測に要した時間t
0で上記の角度差θDを除算すればドリフトレートが算
出できる。従って、各時刻tにおけるドリフトは原点O
と点(t0,θD)を通る直線θ2となる。図2のジャ
イロ22による計測結果曲線θ1からこのドリフト直線
θ2の分を差し引くとジャイロドリフトの補正を行った
後の精度の高い孔曲り状態の補正後の曲線θ12が得ら
れる。
Here, FIG. 3 shows drift caused by the gyro 22. As described above, since the drift rate may be considered to be constant, the time t required for measurement by the gyro 22 is t.
The drift rate can be calculated by dividing the angle difference θD by 0. Therefore, the drift at each time t is the origin O
And a straight line θ2 passing through the point (t0, θD). When the drift straight line θ2 is subtracted from the measurement result curve θ1 by the gyro 22 in FIG. 2, a highly accurate corrected curve θ12 of the hole bending state after the correction of the gyro drift is obtained.

【0012】孔12内のプローブ18の走行時間tと走
行距離lとは、牽引ロープ16の移動速度によって一対
一に対応する。即ち、l=f(t)である。従って、孔
曲り角度θを示す曲線(図2では曲線θ12)は孔12
の走行距離lを横軸としても得ることができる。一方、
図1の各辺がdZ,dX,dlの微小三角形を参照すれ
ば、dX=dl・sinθである。従って、X=(積分
記号)sinθdlとなり、孔曲り角度θと走行距離l
との関係が上述の如く図2に類似した曲線として得られ
ることから、この積分が実行できる。その結果、図4に
示す如き曲線HC’が得られる。l0は孔12の終端1
2Eまでの長さ(走行距離)である。
The traveling time t of the probe 18 in the hole 12 and the traveling distance 1 correspond one-to-one with the moving speed of the tow rope 16. That is, l = f (t). Therefore, the curve indicating the hole bending angle θ (curve θ12 in FIG. 2) is the hole 12
It is also possible to obtain the travel distance 1 of the above as the horizontal axis. on the other hand,
Referring to a minute triangle in which each side in FIG. 1 is dZ, dX, dl, dX = dl · sin θ. Therefore, X = (integral symbol) sin θdl, and the hole bending angle θ and the traveling distance l
This integration can be performed since the relationship with and is obtained as a curve similar to that of FIG. 2 as described above. As a result, a curve HC 'as shown in FIG. 4 is obtained. 10 is the end 1 of the hole 12
It is the length (distance traveled) up to 2E.

【0013】また、図5は図1の直交座標X,(Y,)
Zによる孔曲り曲線HCを示している。図1の微小三角
形を参照すると、dZ=dl・cosθであり、Z=
(積分記号)cosθdlとなる。孔曲り角度θと走行
距離lとの関係は上述の如く図2に類似した曲線として
得られることから、この積分が実行できる。その結果、
図5の曲線HCが得られる。Z0は孔12の入口12I
から終端12Eまでの深さ(Z軸方向)である。
Further, FIG. 5 shows the Cartesian coordinates X, (Y,) of FIG.
The hole bending curve HC by Z is shown. Referring to the small triangle in FIG. 1, dZ = dl · cos θ and Z =
(Integral symbol) cos θdl. Since the relationship between the hole bending angle θ and the traveling distance 1 is obtained as a curve similar to that shown in FIG. 2 as described above, this integration can be executed. as a result,
The curve HC of FIG. 5 is obtained. Z0 is the inlet 12I of the hole 12
To the end 12E (Z-axis direction).

【0014】以上は簡単のためにY軸周りの回転角度θ
の傾斜についてのみ説明したが、他の軸周りの回転角度
φの傾斜についても同様に計測でき、更には、慣性セン
サの使用によって回転角度ψも計測でき、これらの合成
された3次元の曲り状態を知ることができる。プローブ
18のローリング(図1では方位角ψの変化)が生じな
い横断面の四角な孔(や管路)12では、プローブ18
には回転角度ψを除く2軸分のジャイロ22と2軸分の
加速度計20とを有していれば良い。
For simplicity, the rotation angle θ around the Y-axis has been described above.
Although only the inclination of the above is described, the inclination of the rotation angle φ around the other axis can be measured in the same manner, and further, the rotation angle ψ can be measured by using the inertial sensor. You can know. In the square hole (or conduit) 12 of the cross section where the rolling of the probe 18 (the change of the azimuth angle ψ in FIG. 1) does not occur, the probe 18
Need only have a gyro 22 for two axes except the rotation angle ψ and an accelerometer 20 for two axes.

【0015】[0015]

【発明の効果】以上の説明から明らかなように本発明に
よれば、ジャイロによって鉛直又は鉛直に近い方向の孔
の曲り状態を計測するため連続的に短時間で計測でき、
かつ、加速度計によって孔の入口と終端の傾斜を計測す
るため、この計測データとの比較によって前記ジャイロ
のドリフトを補正でき、連続した傾斜状態を高精度で短
時間に計測できる方法の提供が可能となる。
As is apparent from the above description, according to the present invention, since the bending state of the hole in the vertical direction or the direction close to the vertical direction is measured by the gyro, the measurement can be continuously performed in a short time.
Moreover, since the inclination of the entrance and the end of the hole is measured by the accelerometer, the drift of the gyro can be corrected by comparison with this measurement data, and it is possible to provide a method that can measure the continuous inclination state with high accuracy in a short time. Becomes

【図面の簡単な説明】[Brief description of drawings]

【図1】図1は本発明に係る計測方法の実施を示す縦断
面図である。
FIG. 1 is a vertical sectional view showing an implementation of a measuring method according to the present invention.

【図2】図2は本発明の計測方法の説明図である。FIG. 2 is an explanatory diagram of a measuring method of the present invention.

【図3】図3はジャイロドリフトの説明図である。FIG. 3 is an explanatory diagram of a gyro drift.

【図4】図4は図1の計測方法の実施結果の、孔の長さ
座標(l)に対する孔曲り状態を示す図である。
FIG. 4 is a diagram showing a hole bending state with respect to the length coordinate (1) of the hole as a result of performing the measuring method of FIG. 1.

【図5】図5は図1の計測方法の実施結果の、孔の鉛直
方向位置(Z)に対する孔曲り状態を示す図である。
5 is a diagram showing a hole bending state with respect to a vertical position (Z) of the hole, which is a result of performing the measuring method of FIG.

【符号の説明】[Explanation of symbols]

10 地中 12 孔(管路) 12E 終端 12I 入口 14 リール 16 牽引ロープ 18 プローブ 20 加速度計 22 ジャイロ 10 underground 12 hole (pipe) 12E terminal 12I inlet 14 reel 16 traction rope 18 probe 20 accelerometer 22 gyro

Claims (1)

【特許請求の範囲】[Claims] 【請求項1】 加速度計とジャイロを搭載したプローブ
によって孔の曲りを計測する方法であって、 前記孔の入口と終端における各傾斜を前記加速度計によ
って計測し、 その間の傾斜に関して前記ジャイロによって連続的に計
測し、 この連続した計測値に基づく前記終端の傾斜値と前記加
速度計によって計測された孔の終端の傾斜値との差を、
前記連続計測時間内において一定なドリフトレートを有
した前記ジャイロのドリフトであるとして前記連続した
計測値を補正することを特徴とする孔曲り計測方法。
1. A method for measuring the bending of a hole by a probe equipped with an accelerometer and a gyro, wherein each inclination at the entrance and the end of the hole is measured by the accelerometer, and the inclination between them is continuously measured by the gyro. The difference between the inclination value of the terminal end based on this continuous measurement value and the inclination value of the terminal end of the hole measured by the accelerometer,
A hole bending measuring method, wherein the continuous measurement value is corrected as a drift of the gyro having a constant drift rate within the continuous measurement time.
JP18222293A 1993-06-29 1993-06-29 Hole bending measurement method Expired - Fee Related JP3339731B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP18222293A JP3339731B2 (en) 1993-06-29 1993-06-29 Hole bending measurement method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP18222293A JP3339731B2 (en) 1993-06-29 1993-06-29 Hole bending measurement method

Publications (2)

Publication Number Publication Date
JPH0712562A true JPH0712562A (en) 1995-01-17
JP3339731B2 JP3339731B2 (en) 2002-10-28

Family

ID=16114483

Family Applications (1)

Application Number Title Priority Date Filing Date
JP18222293A Expired - Fee Related JP3339731B2 (en) 1993-06-29 1993-06-29 Hole bending measurement method

Country Status (1)

Country Link
JP (1) JP3339731B2 (en)

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2007155583A (en) * 2005-12-07 2007-06-21 Tamagawa Seiki Co Ltd Method and device for measuring hole passage
JP2010101897A (en) * 2008-10-27 2010-05-06 Seung-Mock Lee Apparatus for measuring ground displacement
JP2010281693A (en) * 2009-06-04 2010-12-16 Tamagawa Seiki Co Ltd Hole bentness measuring device
JP2010281692A (en) * 2009-06-04 2010-12-16 Tamagawa Seiki Co Ltd Hole bentness measuring device
JP2011174749A (en) * 2010-02-23 2011-09-08 Tamagawa Seiki Co Ltd Hole path measurement apparatus

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2007155583A (en) * 2005-12-07 2007-06-21 Tamagawa Seiki Co Ltd Method and device for measuring hole passage
JP2010101897A (en) * 2008-10-27 2010-05-06 Seung-Mock Lee Apparatus for measuring ground displacement
JP2010281693A (en) * 2009-06-04 2010-12-16 Tamagawa Seiki Co Ltd Hole bentness measuring device
JP2010281692A (en) * 2009-06-04 2010-12-16 Tamagawa Seiki Co Ltd Hole bentness measuring device
JP2011174749A (en) * 2010-02-23 2011-09-08 Tamagawa Seiki Co Ltd Hole path measurement apparatus

Also Published As

Publication number Publication date
JP3339731B2 (en) 2002-10-28

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