CN111504313B - Drilling positioning and orientating instrument hole positioning method based on speed information assistance - Google Patents

Drilling positioning and orientating instrument hole positioning method based on speed information assistance Download PDF

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CN111504313B
CN111504313B CN202010348945.8A CN202010348945A CN111504313B CN 111504313 B CN111504313 B CN 111504313B CN 202010348945 A CN202010348945 A CN 202010348945A CN 111504313 B CN111504313 B CN 111504313B
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positioning
error
speed
information
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CN111504313A (en
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王林
张永健
高春峰
罗晖
袁保伦
魏国
李耿
樊振方
熊振宇
周盟孟
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National University of Defense Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/10Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
    • G01C21/12Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning
    • G01C21/16Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation
    • G01C21/18Stabilised platforms, e.g. by gyroscope
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N1/00Sampling; Preparing specimens for investigation
    • G01N1/02Devices for withdrawing samples
    • G01N1/04Devices for withdrawing samples in the solid state, e.g. by cutting
    • G01N1/08Devices for withdrawing samples in the solid state, e.g. by cutting involving an extracting tool, e.g. core bit

Abstract

The invention belongs to the field of geological exploration and discloses a speed information-assisted positioning and orientating instrument hole positioning method for drilling. The invention combines the working characteristics of a long-distance horizontal coring drilling machine, reasonably plans the working mode of a coring device, fully utilizes all the measurement data stored by a positioning orientation instrument and the position increment information of a photoelectric encoder on a winch to construct a reverse measurement data sequence, carries out forward and reverse autonomous navigation positioning based on a complete constraint Kalman filter assisted by speed information, combines zero-speed correction to inhibit and correct positioning errors, and utilizes the difference complementarity of the characteristics of the forward and reverse autonomous navigation positioning errors to weight and position output as a drilling path track so as to improve the positioning precision. The method can meet the requirement of geological exploration in the plateau alpine region, and provides powerful support for comprehensively and accurately mastering the geological information along the railway in the plateau alpine region.

Description

Drilling positioning and orientating instrument hole positioning method based on speed information assistance
Technical Field
The invention belongs to the field of geological exploration, and relates to a method for positioning a core drill in a hole in an exploration process, in particular to a method for positioning a positioning and orienting instrument in the hole for drilling based on the assistance of speed information.
Background
In the railway tunnel construction process in the plateau alpine region, geological information along the line needs to be comprehensively and accurately mastered, and general vertical detection cannot be implemented and cannot meet the geological detection requirement in the plateau alpine region due to the limitation of severe ground conditions in the plateau alpine region. The long-distance horizontal core drilling machine is equipment suitable for horizontal direction rapid geological drilling and long-distance horizontal core drilling, can meet the requirement of long-distance geological core drilling of various rock tunnel constructions in the fields of railways, roads, water conservancy, mines and the like, and has very important significance for the construction of railways in plateau alpine regions. For accurate control drilling path, satisfy the demand of big buried depth, long distance geological core drilling, need carry out accurate location orientation to horizontal coring rig downthehole, for this reason, long distance horizontal coring rig needs dispose the location orientation appearance simultaneously. The positioning and orienting instrument comprises an inertia measuring unit, and the inertia measuring unit calculates and outputs the position information of the horizontal coring drilling machine so as to adjust and control the drilling path. However, under the influence of the error of the inertial device, in the case of long-distance horizontal drilling, the positioning error of the inertial measurement unit will increase continuously with the increase of the working time, and the control precision of the drilling path is influenced. Therefore, it is necessary to suppress or correct the positioning error of the inertial measurement unit by means of the auxiliary information, thereby achieving precise control of the drilling path.
Under the actual operation environment, limited by working conditions and supporting equipment of horizontal core drilling rigs of various models, the positioning and orientation instrument has very limited usable auxiliary positioning means or auxiliary information and is different, and how to fully excavate the usable information in the actual working condition environment so as to improve the positioning and orientation precision becomes a problem which is very concerned by geological exploration technicians. Aiming at the geological exploration requirement of plateau alpine regions, the invention researches the speed information-assisted positioning and orientating instrument hole positioning method for drilling, combines the working characteristics of the long-distance horizontal coring drilling machine, fully utilizes the available auxiliary information of the matching equipment of the coring drilling machine, realizes the accurate positioning in the hole of the long-distance horizontal coring drilling machine under the speed information-assisted condition, and further improves the control precision of the drilling path.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the working characteristics of a long-distance horizontal core drilling machine are combined, the working mode of the core taking device is reasonably planned, available auxiliary information of the core drilling machine matching equipment and all measurement data stored by the positioning and orienting instrument are fully utilized, the positioning in the positioning and orienting instrument hole for drilling based on the assistance of speed information is realized, the control precision of a drilling path is further improved, and the requirement of geological exploration in plateau alpine regions is met.
In order to solve the technical problems, the solution proposed by the invention is as follows:
the method for positioning the inside of the hole of the positioning and orienting instrument for drilling based on the assistance of speed information comprises the following steps:
(1) installing a positioning and orienting instrument on a core taking device, placing the positioning and orienting instrument on a base of a carrier vehicle of a core taking drilling machine, additionally installing a photoelectric encoder on a winch, further binding initial position information and initial speed information to the positioning and orienting instrument, standing the positioning and orienting instrument for 15-25 minutes after the binding is finished, performing initial self-alignment to obtain initial posture information, storing angle increment information and speed increment information obtained by measurement of an inertial measurement unit on line by the positioning and orienting instrument, and storing position increment information of the photoelectric encoder on the winch at the same time; after the positioning and orientation instrument completes the initial self-alignment, a complete constraint Kalman filter based on the assistance of speed information carries out forward autonomous navigation and positioning; the complete constraint Kalman filter based on the speed information assistance is designed according to the following steps:
(1.1) with an attitude error phinVelocity error vnPosition error pnGyro driftbAccelerometer zero offset
Figure BDA0002471172370000021
The installation error eta of the inertial measurement unit of the positioning and orientation instrument is a system state x (t), and differential equations respectively determining attitude error, speed error, gyro drift, accelerometer zero offset and installation error are as follows:
Figure BDA0002471172370000022
wherein the content of the first and second substances,
Figure BDA0002471172370000023
representing the angular velocity of rotation of the navigation coordinate system n relative to the inertial coordinate system i,
Figure BDA0002471172370000024
representing the attitude matrix between the carrier coordinate system b and the navigation coordinate system n, fnIndicating the specific force represented in the navigational coordinate system,
Figure BDA0002471172370000025
the angular velocity of rotation of the earth is represented,
Figure BDA0002471172370000026
indicating the transfer angular velocity, vnThe speed is indicated in the form of a speed,
Figure BDA0002471172370000027
respectively representing the rotational angular velocity error, the earth rotational angular velocity error and the transfer angular velocity error of the navigation coordinate system,
Figure BDA0002471172370000028
the measurement error of the gyro component is shown,
Figure BDA0002471172370000029
representing the measurement error of the accelerometer assembly, wg、waRespectively representing the measurement noise of a gyro component and the measurement noise of an accelerometer component, eta ═ etaθ ηΨ]TInstallation error eta from pitch angleθAnd course angle mounting error etaΨForming;
(1.2) according to the attitude error, the speed error, the position error, the gyro drift, the accelerometer zero offset and the installation error differential equation determined in the step (1.1), constructing a system state equation as follows:
Figure BDA00024711723700000210
wherein the content of the first and second substances,
Figure BDA00024711723700000211
representing a system state matrix;
Figure BDA00024711723700000212
Figure BDA0002471172370000031
F5=[fn×],
Figure BDA0002471172370000032
Figure BDA0002471172370000033
Figure BDA0002471172370000034
in the formula, vE、vN、vURespectively representing east, north and vertical speeds, L representing local latitude, h representing local height, R representing local altitudeE、RNRespectively represent the radius of the prime circle, the radius of the meridian circle, omegaieRepresenting the earth rotation angular velocity module value;
Figure BDA0002471172370000035
representing a system noise matrix;
w(t)=[wg wa]Trepresenting system noise;
(1.3) the lateral and vertical velocities of the coring tool are zero as it advances along the drilling path, proceeding in the forward directionVelocity error vyLateral velocity error vxAnd vertical velocity error vzConstruction of a complete constraint observation z (t) ═ vx vy vz]TAnd determining an observation equation, wherein the determination of the observation equation is realized by the following steps:
(1.3.1) projecting the position and orientation machine velocity output to the inertial measurement unit coordinate system m as follows:
Figure BDA0002471172370000036
wherein the content of the first and second substances,
Figure BDA0002471172370000037
representing the projection, v, of the velocity output of the position and orientation finder in the inertial measurement unit coordinate system mmRepresenting the speed of the position and orientation device expressed in a real m coordinate system,
Figure BDA0002471172370000038
a matrix representing the installation relationship between the carrier coordinate system b and the inertial measurement unit coordinate system m, ζ ═ ηθ ηγ ηΨ]TThe angle of the installation error is indicated,
Figure BDA0002471172370000039
representing an attitude matrix between a navigation coordinate system n and a carrier coordinate system b; due to the installation error eta of the transverse roll angleγThe forward velocity projection is assigned a value of 0, i.e. η, without affecting the forward velocity projectionγ=0;
(1.3.2) by
Figure BDA00024711723700000310
As a complete constraint observation z (t), the observation equation is constructed as follows:
z(t)=H(t)x(t)+υ(t) (4)
wherein the content of the first and second substances,
Figure BDA0002471172370000041
and v isfNumerical value ofEqual to the position increment information output by the photoelectric encoder divided by the sampling time,
Figure BDA0002471172370000042
and is
Figure BDA0002471172370000043
V (t) represents the observation noise;
(2) the coring method comprises the following steps that a coring drill carries a vehicle to push a coring device to a drill hole and stay the coring device, the coring device stays at the drill hole for 10-20 seconds, the first zero speed correction of a positioning and orienting instrument is completed, then the coring device is pushed along a drilling path in a high-pressure gas pushing mode, the positioning and orienting instrument stores angle increment information and speed increment information obtained by measurement of an inertia measurement unit on line, and simultaneously stores position increment information of an optical encoder on a winch, wherein the zero speed correction is carried out according to the following steps:
(2.1) the positioning and orientation instrument automatically detects the zero-speed state according to the angular speed and speed information, and the observed quantity in the zero-speed state is
Figure BDA0002471172370000044
(2.2) by
Figure BDA0002471172370000045
As an observed quantity z in a zero velocity stateZUPT(t), constructing an observation equation as follows:
zZUPT(t)=HZUPT(t)x(t)+μ(t) (5)
wherein the content of the first and second substances,
Figure BDA0002471172370000046
μ (t) represents observation noise;
(2.3) completing measurement updating of the positioning and orientation instrument in the zero-speed state according to the steps (2.1) and (2.2);
(3) when the coring device is pushed to a drilling machine at the tail end of the drilling path, the coring device finishes coring operation, then the coring device stays at the tail end of the drilling path for 10-20 seconds again, and the second zero-speed correction of the positioning and orienting instrument is finished; in addition, the positioning and orientation instrument stores angle increment information and speed increment information measured by an inertia measurement unit on line and stores position increment information of a photoelectric encoder on the winch;
(4) after the second zero-speed correction is finished, pulling the coring device out of the hole through the winch, and when the coring device is pulled to the drill hole, staying for 10-20 seconds again, and finishing the third zero-speed correction of the positioning and orienting instrument; after the third zero-speed correction is completed, dragging the coring device to a base of a coring drilling machine vehicle, and standing for 15-25 minutes again; in addition, the positioning and orientation instrument stores angle increment information and speed increment information measured by an inertia measurement unit on line and stores position increment information of a photoelectric encoder on the winch;
(5) measuring angular velocity of gyro assembly
Figure BDA0002471172370000047
Accelerometer assembly measuring specific force fbAnd the rotational angular velocity of the earth
Figure BDA0002471172370000048
And (3) negation is performed, the angle increment information, the speed increment information and the position increment information of the photoelectric encoder which are stored in the steps (1) to (4) are reversed according to the time sequence from the back to the front to form a reverse measurement data sequence, the position increment information of the photoelectric encoder is only subjected to reverse order processing in time and is not negated, and finally, a reverse autonomous navigation positioning is performed on the reverse measurement data sequence by a complete constraint Kalman filter assisted by the speed information, wherein the reverse navigation calculation is as follows:
Figure BDA0002471172370000051
wherein the content of the first and second substances,
Figure BDA0002471172370000052
Figure BDA0002471172370000053
respectively representing the attitude matrices at the time of reverse time sequence d and d-1,
Figure BDA0002471172370000054
respectively representing the speeds at the time points of the reverse sequences d and d-1,
Figure BDA0002471172370000055
respectively representing the positions of the moments d, d-1 in reverse sequence, gn
Figure BDA0002471172370000056
Respectively represents forward solving and backward solving of the local gravitational acceleration, I3Representing a third order identity matrix, Δ T representing a sampling interval;
the reverse autonomous navigation positioning comprises the following steps:
(5.1) completing initial alignment by using the first static stage of 15-25 minutes of reverse measurement data to obtain initial attitude information;
(5.2) performing reverse filtering according to the complete constraint Kalman filter based on the velocity information assistance in the steps (1.1) - (1.3), wherein a differential equation of an attitude error equation, a velocity error equation, a position error equation, gyro drift, acceleration zero offset and installation errors of the inertial measurement unit of the positioning and orientation instrument is kept unchanged, and an observation equation is also kept unchanged;
and (5.3) in the reverse autonomous navigation positioning process, when the coring device is in a resident state, carrying out error correction according to the zero speed correction mode of the steps (2.1) to (2.3).
(6) Positioning result p with forward autonomous navigation after time alignmentnAnd reverse autonomous navigation positioning results
Figure BDA0002471172370000057
The weighting result of (2) is used as positioning output, and the weighting mode is described by the following formula:
Figure BDA0002471172370000058
wherein p issAs a result of weighting, Ps、Pf、PbRespectively a smooth variance, a forward variance and a reverse variance;
and finally, taking the positioning result of the propelling section of the coring device as a drilling path track, and calculating the deviation of the propelling section of the coring device relative to the designed path according to the drilling path track so as to adjust the drilling path.
Further, the rest time of the coring device on the vehicle-mounted base of the coring drilling machine in the steps (1) and (4) is 15 minutes respectively.
Further, the rest time of the coring device on the vehicle-mounted base of the coring drilling machine in the steps (1) and (4) is 25 minutes respectively.
Further, the residence time of the coring device at the drilling hole and at the end of the drilling path in the steps (2), (3) and (4) is 10 seconds respectively.
Further, the residence time of the coring device at the drilling hole and at the end of the drilling path in the steps (2), (3) and (4) is 20 seconds respectively.
Further, in the step (2), the coring device is pushed along the drilling path in a high-pressure hydraulic pushing mode.
Further, in the step (2.3), measurement update is completed by adopting a sequential update mode.
Further, feedback correction is adopted for gyro drift and accelerometer zero-offset states in the steps (1.1) and (1.2).
Further, the installation error state in the steps (1.1) and (1.2) adopts open loop correction.
Further, the sampling interval of the inertial measurement unit in step (1) when measuring the angular increment information and the velocity increment information is not more than 0.01 s.
Compared with the prior art, the invention has the advantages that:
(1) the invention combines the working characteristics of the long-distance horizontal coring drilling machine, reasonably plans the working mode of the coring device, fully utilizes all the measurement data stored by the positioning orientation instrument and the position increment information of the photoelectric encoder on the winch, improves the data utilization rate, and realizes the accurate positioning in the hole of the long-distance horizontal coring drilling machine under the condition of speed information assistance;
(2) the method fully utilizes the difference complementarity of the forward and reverse autonomous navigation positioning error characteristics, takes the weighted positioning output result as the drilling path track, and improves the positioning accuracy.
Drawings
FIG. 1 is a schematic flow diagram of the process of the present invention;
FIG. 2 is a schematic diagram of an embodiment of the present invention;
FIG. 3 is a schematic diagram of forward and reverse solution of the present invention;
FIG. 4 is a schematic diagram of forward and reverse autonomous navigation positioning according to the present invention.
Detailed Description
The invention will be described in further detail below with reference to the drawings and specific examples.
As shown in figure 1, the speed information-assisted positioning and orientating instrument hole positioning method for drilling reasonably plans the working mode of a coring device by combining the working characteristics of a long-distance horizontal coring drilling machine, fully utilizes all measurement data stored by a positioning and orientating instrument and position increment information of an optoelectronic encoder on a winch to construct a reverse measurement data sequence, carries out forward and reverse autonomous navigation positioning by a complete constraint Kalman filter based on speed information assistance, inhibits and corrects positioning errors by combining zero-speed correction, and takes a weighted positioning result as a drilling path track by utilizing the difference complementarity of the characteristics of forward and reverse autonomous navigation positioning errors to improve the positioning accuracy.
As shown in fig. 2, the specific process of the present invention is described with reference to a specific application example:
the method for positioning the inside of the hole of the positioning and orienting instrument for drilling based on the assistance of speed information comprises the following steps:
(1) installing a positioning and orienting instrument on a core taking device, placing the positioning and orienting instrument on a base of a carrier vehicle of a core taking drilling machine, additionally installing a photoelectric encoder on a winch, further binding initial position information and initial speed information to the positioning and orienting instrument, standing the positioning and orienting instrument for 15-25 minutes after the binding is finished, performing initial self-alignment to obtain initial posture information, storing angle increment information and speed increment information obtained by measurement of an inertial measurement unit on line by the positioning and orienting instrument, and storing position increment information of the photoelectric encoder on the winch at the same time; after the positioning and orientation instrument completes the initial self-alignment, a complete constraint Kalman filter based on the assistance of speed information carries out forward autonomous navigation and positioning; the complete constraint Kalman filter based on the speed information assistance is designed according to the following steps:
(1.1) with an attitude error phinVelocity error vnPosition error pnGyro driftbAccelerometer zero offset
Figure BDA0002471172370000061
The installation error eta of the inertial measurement unit of the positioning and orientation instrument is a system state x (t), and differential equations respectively determining attitude error, speed error, gyro drift, accelerometer zero offset and installation error are as follows:
Figure BDA0002471172370000071
wherein the content of the first and second substances,
Figure BDA0002471172370000072
representing the angular velocity of rotation of the navigation coordinate system n relative to the inertial coordinate system i,
Figure BDA0002471172370000073
representing the attitude matrix between the carrier coordinate system b and the navigation coordinate system n, fnIndicating the specific force represented in the navigational coordinate system,
Figure BDA0002471172370000074
the angular velocity of rotation of the earth is represented,
Figure BDA0002471172370000075
indicating the transfer angular velocity, vnThe speed is indicated in the form of a speed,
Figure BDA0002471172370000076
respectively representing the rotational angular velocity error, the earth rotational angular velocity error and the transfer angular velocity error of the navigation coordinate system,
Figure BDA0002471172370000077
the measurement error of the gyro component is shown,
Figure BDA0002471172370000078
representing the measurement error of the accelerometer assembly, wg、waRespectively representing the measurement noise of a gyro component and the measurement noise of an accelerometer component, eta ═ etaθ ηΨ]TInstallation error eta from pitch angleθAnd course angle mounting error etaΨForming;
(1.2) according to the attitude error, the speed error, the position error, the gyro drift, the accelerometer zero offset and the installation error differential equation determined in the step (1.1), constructing a system state equation as follows:
Figure BDA0002471172370000079
wherein the content of the first and second substances,
Figure BDA00024711723700000710
representing a system state matrix;
Figure BDA00024711723700000711
Figure BDA00024711723700000712
F5=[fn×],
Figure BDA00024711723700000713
Figure BDA0002471172370000081
Figure BDA0002471172370000082
in the formula, vE、vN、vURespectively representing east, north and vertical speeds, L representing local latitude, h representing local height, R representing local altitudeE、RNRespectively represent the radius of the prime circle, the radius of the meridian circle, omegaieRepresenting the earth rotation angular velocity module value;
Figure BDA0002471172370000083
representing a system noise matrix;
w(t)=[wg wa]Trepresenting system noise;
(1.3) the lateral and vertical velocities of the corer are zero as it advances along the drilling path, with a forward velocity error vyLateral velocity error vxAnd vertical velocity error vzConstruction of a complete constraint observation z (t) ═ vx vy vz]TAnd determining an observation equation, wherein the determination of the observation equation is realized by the following steps:
(1.3.1) projecting the position and orientation machine velocity output to the inertial measurement unit coordinate system m as follows:
Figure BDA0002471172370000084
wherein the content of the first and second substances,
Figure BDA0002471172370000085
representing the projection, v, of the velocity output of the position and orientation finder in the inertial measurement unit coordinate system mmRepresenting the speed of the position and orientation device expressed in a real m coordinate system,
Figure BDA0002471172370000086
representing a carrier coordinate systemb and the coordinate system m of the inertial measurement unit, zeta ═ ηθ ηγ ηΨ]TThe angle of the installation error is indicated,
Figure BDA0002471172370000087
representing an attitude matrix between a navigation coordinate system n and a carrier coordinate system b; due to the installation error eta of the transverse roll angleγThe forward velocity projection is assigned a value of 0, i.e. η, without affecting the forward velocity projectionγ=0;
(1.3.2) by
Figure BDA0002471172370000088
As a complete constraint observation z (t), the observation equation is constructed as follows:
z(t)=H(t)x(t)+υ(t) (4)
wherein the content of the first and second substances,
Figure BDA0002471172370000089
and v isfIs equal to the position increment information output by the photoelectric encoder divided by the sampling time,
Figure BDA00024711723700000810
and is
Figure BDA0002471172370000091
V (t) represents the observation noise;
(2) the coring method comprises the following steps that a coring drill carries a vehicle to push a coring device to a drill hole and stay the coring device, the coring device stays at the drill hole for 10-20 seconds, the first zero speed correction of a positioning and orienting instrument is completed, then the coring device is pushed along a drilling path in a high-pressure gas pushing mode, the positioning and orienting instrument stores angle increment information and speed increment information obtained by measurement of an inertia measurement unit on line, and simultaneously stores position increment information of an optical encoder on a winch, wherein the zero speed correction is carried out according to the following steps:
(2.1) the positioning and orientation instrument automatically detects the zero-speed state according to the angular speed and speed information, and the observed quantity in the zero-speed state is
Figure BDA0002471172370000092
(2.2) by
Figure BDA0002471172370000093
As an observed quantity z in a zero velocity stateZUPT(t), constructing an observation equation as follows:
zZUPT(t)=HZUPT(t)x(t)+μ(t) (5)
wherein the content of the first and second substances,
Figure BDA0002471172370000094
μ (t) represents observation noise;
(2.3) completing measurement updating of the positioning and orientation instrument in the zero-speed state according to the steps (2.1) and (2.2);
(3) when the coring device is pushed to a drilling machine at the tail end of the drilling path, the coring device finishes coring operation, then the coring device stays at the tail end of the drilling path for 10-20 seconds again, and the second zero-speed correction of the positioning and orienting instrument is finished; in addition, the positioning and orientation instrument stores angle increment information and speed increment information measured by an inertia measurement unit on line and stores position increment information of a photoelectric encoder on the winch;
(4) after the second zero-speed correction is finished, pulling the coring device out of the hole through the winch, and when the coring device is pulled to the drill hole, staying for 10-20 seconds again, and finishing the third zero-speed correction of the positioning and orienting instrument; after the third zero-speed correction is completed, dragging the coring device to a base of a coring drilling machine vehicle, and standing for 15-25 minutes again; in addition, the positioning and orientation instrument stores angle increment information and speed increment information measured by an inertia measurement unit on line and stores position increment information of a photoelectric encoder on the winch;
(5) as shown in fig. 3 and 4, the gyro assembly is used to measure the angular velocity
Figure BDA0002471172370000095
Accelerometer assembly measuring specific force fbAnd the rotational angular velocity of the earth
Figure BDA0002471172370000096
And (3) negation is performed, the angle increment information, the speed increment information and the position increment information of the photoelectric encoder which are stored in the steps (1) to (4) are reversed according to the time sequence from the back to the front to form a reverse measurement data sequence, the position increment information of the photoelectric encoder is only subjected to reverse order processing in time and is not negated, and finally, a reverse autonomous navigation positioning is performed on the reverse measurement data sequence by a complete constraint Kalman filter assisted by the speed information, wherein the reverse navigation calculation is as follows:
Figure BDA0002471172370000097
wherein the content of the first and second substances,
Figure BDA0002471172370000098
Figure BDA0002471172370000101
respectively representing the attitude matrices at the time of reverse time sequence d and d-1,
Figure BDA0002471172370000102
respectively representing the speeds at the time points of the reverse sequences d and d-1,
Figure BDA0002471172370000103
respectively representing the positions of the moments d, d-1 in reverse sequence, gn
Figure BDA0002471172370000104
Respectively represents forward solving and backward solving of the local gravitational acceleration, I3Representing a third order identity matrix, Δ T representing a sampling interval;
the reverse autonomous navigation positioning comprises the following steps:
(5.1) completing initial alignment by using the first static stage of 15-25 minutes of reverse measurement data to obtain initial attitude information;
(5.2) performing reverse filtering according to the complete constraint Kalman filter based on the velocity information assistance in the steps (1.1) - (1.3), wherein a differential equation of an attitude error equation, a velocity error equation, a position error equation, gyro drift, acceleration zero offset and installation errors of the inertial measurement unit of the positioning and orientation instrument is kept unchanged, and an observation equation is also kept unchanged;
and (5.3) in the reverse autonomous navigation positioning process, when the coring device is in a resident state, carrying out error correction according to the zero speed correction mode of the steps (2.1) to (2.3).
(6) Positioning result p with forward autonomous navigation after time alignmentnAnd reverse autonomous navigation positioning results
Figure BDA0002471172370000105
The weighting result of (2) is used as positioning output, and the weighting mode is described by the following formula:
Figure BDA0002471172370000106
wherein p issAs a result of weighting, Ps、Pf、PbRespectively a smooth variance, a forward variance and a reverse variance;
and finally, taking the positioning result of the propelling section of the coring device as a drilling path track, and calculating the deviation of the propelling section of the coring device relative to the designed path according to the drilling path track so as to adjust the drilling path.
Further, the rest time of the coring device on the vehicle-mounted base of the coring drilling machine in the steps (1) and (4) is 15 minutes respectively.
Further, the rest time of the coring device on the vehicle-mounted base of the coring drilling machine in the steps (1) and (4) is 25 minutes respectively.
Further, the residence time of the coring device at the drilling hole and at the end of the drilling path in the steps (2), (3) and (4) is 10 seconds respectively.
Further, the residence time of the coring device at the drilling hole and at the end of the drilling path in the steps (2), (3) and (4) is 20 seconds respectively.
Further, in the step (2), the coring device is pushed along the drilling path in a high-pressure hydraulic pushing mode.
Further, in the step (2.3), measurement update is completed by adopting a sequential update mode.
Further, feedback correction is adopted for gyro drift and accelerometer zero-offset states in the steps (1.1) and (1.2).
Further, the installation error state in the steps (1.1) and (1.2) adopts open loop correction.
Further, the sampling interval of the inertial measurement unit in step (1) when measuring the angular increment information and the velocity increment information is not more than 0.01 s.
The above description is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above embodiments, and all technical solutions belonging to the idea of the present invention belong to the protection scope of the present invention. It should be noted that modifications and embellishments within the scope of the invention may occur to those skilled in the art without departing from the principle of the invention, and are considered to be within the scope of the invention.

Claims (10)

1. The method for positioning the inside of the hole of the positioning and orienting instrument for drilling based on the assistance of speed information is characterized by comprising the following steps of:
(1) installing a positioning and orienting instrument on a core taking device, placing the positioning and orienting instrument on a base of a carrier vehicle of a core taking drilling machine, additionally installing a photoelectric encoder on a winch, further binding initial position information and initial speed information to the positioning and orienting instrument, standing the positioning and orienting instrument for 15-25 minutes after the binding is finished, performing initial self-alignment to obtain initial posture information, storing angle increment information and speed increment information obtained by measurement of an inertial measurement unit on line by the positioning and orienting instrument, and storing position increment information of the photoelectric encoder on the winch at the same time; after the positioning and orientation instrument completes the initial self-alignment, a complete constraint Kalman filter based on the assistance of speed information carries out forward autonomous navigation and positioning; the complete constraint Kalman filter based on the speed information assistance is designed according to the following steps:
(1.1) with an attitude error phinVelocity error vnPosition error pnGyro driftbAccelerometer zero offset
Figure FDA0002800294340000011
The installation error eta of the inertial measurement unit of the positioning and orientation instrument is a system state x (t), and differential equations respectively determining attitude error, speed error, position error, gyro drift, accelerometer zero offset and installation error are as follows:
Figure FDA0002800294340000012
wherein the content of the first and second substances,
Figure FDA0002800294340000013
representing the angular velocity of rotation of the navigation coordinate system n relative to the inertial coordinate system i,
Figure FDA0002800294340000014
representing the attitude matrix between the carrier coordinate system b and the navigation coordinate system n, fnIndicating the specific force represented in the navigational coordinate system,
Figure FDA0002800294340000015
the angular velocity of rotation of the earth is represented,
Figure FDA0002800294340000016
indicating the transfer angular velocity, vnThe speed is indicated in the form of a speed,
Figure FDA0002800294340000017
respectively representing the rotational angular velocity error, the earth rotational angular velocity error and the transfer angular velocity error of the navigation coordinate system,
Figure FDA0002800294340000018
the measurement error of the gyro component is shown,
Figure FDA0002800294340000019
representing the measurement error of the accelerometer assembly, wg、waRespectively representing the measurement noise of a gyro component and the measurement noise of an accelerometer component, eta ═ etaθ ηΨ]TInstallation error eta from pitch angleθAnd course angle mounting error etaΨForming;
(1.2) according to the attitude error, the speed error, the position error, the gyro drift, the accelerometer zero offset and the installation error differential equation determined in the step (1.1), constructing a system state equation as follows:
Figure FDA00028002943400000110
wherein the content of the first and second substances,
Figure FDA00028002943400000111
representing a system state matrix;
Figure FDA00028002943400000112
Figure FDA0002800294340000021
F5=[fn×],
Figure FDA0002800294340000022
Figure FDA0002800294340000023
Figure FDA0002800294340000024
in the formula, vE、vN、vURespectively represents east, north and vertical speeds, L represents local latitude, h represents local height,RE、RNrespectively represent the radius of the prime circle, the radius of the meridian circle, omegaieRepresenting the earth rotation angular velocity module value;
Figure FDA0002800294340000025
representing a system noise matrix;
w(t)=[wg wa]Trepresenting system noise;
(1.3) the lateral and vertical velocities of the corer are zero as it advances along the drilling path, with a forward velocity error vyLateral velocity error vxAnd vertical velocity error vzConstruction of a complete constraint observation z (t) ═ vx vy vz]TAnd determining an observation equation, wherein the determination of the observation equation is realized by the following steps:
(1.3.1) projecting the position and orientation machine velocity output to the inertial measurement unit coordinate system m as follows:
Figure FDA0002800294340000026
wherein the content of the first and second substances,
Figure FDA0002800294340000027
representing the projection, v, of the velocity output of the position and orientation finder in the inertial measurement unit coordinate system mmRepresenting the speed of the position and orientation device expressed in a real m coordinate system,
Figure FDA0002800294340000028
a matrix representing the installation relationship between the carrier coordinate system b and the inertial measurement unit coordinate system m, ζ ═ ηθ ηγ ηΨ]TThe angle of the installation error is indicated,
Figure FDA0002800294340000029
representing an attitude matrix between a navigation coordinate system n and a carrier coordinate system b; due to the transverse rollingAngular setting error etaγThe forward velocity projection is assigned a value of 0, i.e. η, without affecting the forward velocity projectionγ=0;
(1.3.2) by
Figure FDA00028002943400000210
As a complete constraint observation z (t), the observation equation is constructed as follows:
z(t)=H(t)x(t)+υ(t) (4)
wherein the content of the first and second substances,
Figure FDA0002800294340000031
and v isfIs equal to the position increment information output by the photoelectric encoder divided by the sampling time,
Figure FDA0002800294340000032
and is
Figure FDA0002800294340000033
V (t) represents the observation noise;
(2) the coring method comprises the following steps that a coring drill carries a vehicle to push a coring device to a drill hole and stay the coring device, the coring device stays at the drill hole for 10-20 seconds, the first zero speed correction of a positioning and orienting instrument is completed, then the coring device is pushed along a drilling path in a high-pressure gas pushing mode, the positioning and orienting instrument stores angle increment information and speed increment information obtained by measurement of an inertia measurement unit on line, and simultaneously stores position increment information of an optical encoder on a winch, wherein the zero speed correction is carried out according to the following steps:
(2.1) the positioning and orientation instrument automatically detects the zero-speed state according to the angular speed and speed information, and the observed quantity in the zero-speed state is
Figure FDA0002800294340000034
(2.2) by
Figure FDA0002800294340000035
As an observed quantity z in a zero velocity stateZUPT(t), constructing an observation equation as follows:
zZUPT(t)=HZUPT(t)x(t)+μ(t) (5)
wherein the content of the first and second substances,
Figure FDA0002800294340000036
μ (t) represents observation noise;
(2.3) completing measurement updating of the positioning and orientation instrument in the zero-speed state according to the steps (2.1) and (2.2);
(3) when the coring device is pushed to a drilling machine at the tail end of the drilling path, the coring device finishes coring operation, then the coring device stays at the tail end of the drilling path for 10-20 seconds again, and the second zero-speed correction of the positioning and orienting instrument is finished; in addition, the positioning and orientation instrument stores angle increment information and speed increment information measured by an inertia measurement unit on line and stores position increment information of a photoelectric encoder on the winch;
(4) after the second zero-speed correction is finished, pulling the coring device out of the hole through the winch, and when the coring device is pulled to the drill hole, staying for 10-20 seconds again, and finishing the third zero-speed correction of the positioning and orienting instrument; after the third zero-speed correction is completed, dragging the coring device to a base of a coring drilling machine vehicle, and standing for 15-25 minutes again; in addition, the positioning and orientation instrument stores angle increment information and speed increment information measured by an inertia measurement unit on line and stores position increment information of a photoelectric encoder on the winch;
(5) measuring angular velocity of gyro assembly
Figure FDA0002800294340000037
Accelerometer assembly measuring specific force fbAnd the rotational angular velocity of the earth
Figure FDA0002800294340000038
Inverting the angle increment information, the speed increment information and the position increment information of the photoelectric encoder stored in the steps (1) to (4) according to the time sequence from the back to the front to form a reverse measurement data sequenceIncremental information is only processed in a reverse order in time and is not inverted, and finally, a reverse measurement data sequence is subjected to reverse autonomous navigation positioning based on a complete constraint Kalman filter assisted by speed information, wherein the reverse navigation is calculated according to the following formula:
Figure FDA0002800294340000041
wherein the content of the first and second substances,
Figure FDA0002800294340000042
Figure FDA0002800294340000043
respectively representing the attitude matrices at the time of reverse time sequence d and d-1,
Figure FDA0002800294340000044
respectively representing the speeds at the time points of the reverse sequences d and d-1,
Figure FDA0002800294340000045
respectively representing the positions of the moments d, d-1 in reverse sequence, gn
Figure FDA0002800294340000046
Respectively represents forward solving and backward solving of the local gravitational acceleration, I3Representing a third order identity matrix, Δ T representing a sampling interval;
the reverse autonomous navigation positioning comprises the following steps:
(5.1) completing initial alignment by using the first static stage of 15-25 minutes of reverse measurement data to obtain initial attitude information;
(5.2) performing reverse filtering according to the complete constraint Kalman filter based on the velocity information assistance in the steps (1.1) - (1.3), wherein a differential equation of an attitude error equation, a velocity error equation, a position error equation, gyro drift, acceleration zero offset and installation errors of the inertial measurement unit of the positioning and orientation instrument is kept unchanged, and an observation equation is also kept unchanged;
(5.3) in the reverse autonomous navigation positioning process, when the coring device is in a resident state, carrying out error correction according to the zero speed correction mode in the steps (2.1) - (2.3);
(6) positioning result p with forward autonomous navigation after time alignmentnAnd reverse autonomous navigation positioning results
Figure FDA0002800294340000047
The weighting result of (2) is used as positioning output, and the weighting mode is described by the following formula:
Figure FDA0002800294340000048
wherein p issAs a result of weighting, Ps、Pf、PbRespectively a smooth variance, a forward variance and a reverse variance;
and finally, taking the positioning result of the propelling section of the coring device as a drilling path track, and calculating the deviation of the propelling section of the coring device relative to the designed path according to the drilling path track so as to adjust the drilling path.
2. The method for positioning the inside of the hole of the positioning and orienting instrument for drilling based on the assistance of the speed information as claimed in claim 1, wherein the rest time of the coring device on the vehicle-carrying base of the coring drilling machine in the steps (1) and (4) is respectively 15 minutes.
3. The method for positioning the inside of the hole of the positioning and orienting instrument for drilling based on the assistance of the speed information as claimed in claim 1, wherein the rest time of the coring device on the vehicle-carrying base of the coring drilling machine in the steps (1) and (4) is respectively 25 minutes.
4. The method as recited in claim 1, wherein the dwell time of the coring tool at the borehole and at the end of the drilling path in steps (2), (3) and (4) is 10 seconds.
5. The method as recited in claim 1, wherein the dwell time of the coring tool at the borehole and at the end of the drilling path in steps (2), (3) and (4) is 20 seconds.
6. The method as recited in claim 1, wherein said step (2) comprises advancing the corer along the drilling path by means of high pressure hydraulic thrust.
7. The method as claimed in claim 1, wherein the step (2.3) is performed by sequential updating.
8. The method of claim 1, wherein the gyro drift and accelerometer zero offset states in steps (1.1) and (1.2) are corrected by feedback.
9. The method of claim 1, wherein the installation error status in steps (1.1) and (1.2) is corrected by open loop.
10. The method of claim 1 wherein the inertial measurement unit in step (1) measures angular delta information and velocity delta information at a sampling interval of no more than 0.01 s.
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