CN103235349B - Three-dimensional measuring method and measuring system for underground deformation - Google Patents
Three-dimensional measuring method and measuring system for underground deformation Download PDFInfo
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Abstract
The invention discloses a three-dimensional measuring method and measuring system for underground deformation. The measuring system comprises an in-site measurement instrument and a remote measurement instrument, which are communicated with each other through wireless sensing communication; the in-site measurement instrument consists of an underground deformation integrated sensor string and an underground deformation measurement centralized processing device; the remote measurement instrument consists of a remote receiving device and a PC (personal computer) upper computer; and one end of the remote receiving device is connected with an antenna, and the other end of the remote receiving device is connected with the PC upper computer. The three-dimensional measuring method and the measuring system can realize the three-dimensional measurement of deformations caused by various below-surface reasons and realize the continuous three-dimensional measurement of the underground deformation, which can not be realized by other existing methods; thus the measuring system can possibly become an instrument used for observing the deformation situation of crust deep parts during plate jamming and provide observation data for the mechanism study of the occurrence of earthquake; and measuring instruments for the observation of geological environments in the research of craton destruction and shale gas development are also realized.
Description
Technical field
The present invention relates to a kind of underground deformation measuring method and device, especially relate to a kind of method for three-dimensional measurement and measuring system of underground deformation.
Background technology
Observation, research the earth plate deformation, movement are the significant process analyzing earth movement and Earthquakes, the fact shows that earth movement and earthquake have inevitable contacting, stress accumulation and release are indispensable processes in breeding of earthquake, one of important method of Study of Seismic preparation process is by crust deformation measurement, and research breeds relevant earth movement and deformation process to strong earthquakes.Therefore this observation to the earth plate deformation, research contribute to the characteristics of motion that the mankind understand the earth's crust, observe the three dimensional change of below ground, for the research in the fields such as earthquake science, Geological Engineering and Mineral Engineering provides scientific instrument, for the Changing Pattern of mankind ball depths epistemically provides scientific observation instrument.
The existing measurement means to underground deep deformation mainly contains three kinds: inclinometer pipe battering methods, fiber distribution strain measurement technique (Brillouin Opticat Time Domain Reflectometry) (being called for short BOTDR), the time domain reflectometry (Time Domain Reflectometry) (being called for short TDR technology) of concentric cable.Battering methods can only measure the curving situation of inclinometer pipe when soil body effect, can not automatically implement continuous monitoring, and need artificially placement deviational survey measuring instrument could realize the measurement to pitch angle, error is very large.BOTDR technology is can only the small strain of measuring optical fiber, and during large deformation, optical fiber will rupture, and this measurement can not differentiate deformation direction.The TDR technology of concentric cable can only be used for the Geological Hazards Monitoring of minority shear slide landforms, and deflection is less (large deformation also will be broken) also.These three kinds of methods all can not realize the three-dimensional measurement of deflection, the amount of distortion can not meet soft rock or the Quaternary period tectal deformation measurement.
Summary of the invention
The object of the present invention is to provide a kind of method for three-dimensional measurement and measuring system of underground deformation, the three-dimensional measurement of deflection can be realized, the amount of distortion can meet soft rock or the Quaternary period tectal deformation measurement.
The technical solution used in the present invention is:
One, a kind of method for three-dimensional measurement of underground deformation:
Multiple column type integrated sensor unit serial connection is formed sensor string, it uses undesirable mutual electromagnetic inductance, spiral parallel transmission line TDR effect or inductive effect, gravity deviational survey, the multiple Physical Mechanism of magnetoresistance, measure the mutual voltage Uout between two column type integrated sensor units, spiral parallel transmission line amount of tension L, tiltangleθ, the magnetic azinuth tilted, pass through Uout, L, θ and horizontal distortion amount X, the foundation of the relational model of vertical deformation amount Y, and measure with ground GPS volume coordinate and combine, realize successively from top to bottom column type integrated sensor unit by measuring corresponding underground deformation three-dimensional coordinate unified with volume coordinate, and situ measurements will be sent to the PC in a distant place by GPRS or GSM, PC can be depicted the ground in measured zone to the soil layer motion change situation of underground deep and concrete coordinate figure, realize the three-dimensional measurement of the Rock And Soil distortion from ground to underground deep.
The measuring method of described spiral parallel transmission line amount of tension L has two kinds, and one is based on TDR effect, and one is measured based on inductance value; TDR measuring method is the termination matched impedance at spiral parallel transmission line, the other end adds a burst pulse voltage, because the characteristic impedance of spiral parallel transmission line can change before the stretching afterwards, analyze the change of the reflected voltage waveform before and after the stretching of spiral parallel transmission line, the size of amount of tension Δ L can be drawn, add original length L0, L=L0+ Δ L can be drawn; Inductance value measuring method is the short at one end by using spiral parallel transmission line, spiral parallel transmission line inductance amount is measured at the other end, can show that not same spiral parallel transmission line is stretched as inductance value or the induction reactance of the correspondence of different length through demarcating, thus draw the distance L between the lower surface central point of top integrated sensor unit and the upper surface central point of bottom integrated sensor unit.
The measuring method of described tiltangleθ, the magnetic azinuth of inclination, install coordinate is overlapping the north, the east of the xy coordinate of the deviational survey MEMS integrated circuit in integrated sensor unit and magnetic survey integrated circuit, then when the geologic media residing for integrated sensor string has distortion, must be have integrated sensor unit to the direction run-off the straight of distortion, then can draw the position angle of the vergence direction of this integrated sensor.
Two, a kind of three-dimension measuring system of underground deformation:
The present invention includes in-site measurement instrument and distant place surveying instrument, both are connected by wireless sensing communication; Wherein:
1) in-site measurement instrument is made up of underground deformation integrated sensor string and underground deformation measurement centralized processor, underground deformation integrated sensor string is connected in series by the column type integrated sensor unit that 1 ~ m structure is identical and forms, the uniform thickness rigid insulation material be encased inside between each unit, with the central point up and down of elastic helix ribbon feeder connecting cylinder type integrated unit, whole column type integrated sensor string is encapsulated in soft deflation sleeve pipe, communication and control is carried out by 485 buses between each column type integrated sensor unit, one end that underground deformation measures centralized processor is connected with m column type integrated sensor unit by 485 buses, the other end that underground deformation measures centralized processor is connected with antenna,
2) distant place surveying instrument is made up of remote receiver, PC host computer; One end of remote receiver is connected with antenna, and the other end of remote receiver is connected with PC host computer.
Described column type integrated sensor unit: comprise coil, survey long elastic helix ribbon feeder, MEMS deviational survey integrated circuit, magnetic survey integrated circuit, sinusoidal voltage circuit for generating, sinusoidal voltage metering circuit, helical line TDR effect or inductance measurement circuit, 485 bus driving circuits, an A/D change-over circuit, the 2nd A/D change-over circuit, MCU circuit; The input end of helical line TDR effect or inductance measurement circuit connects spiral parallel transmission line, and output terminal connects an A/D change-over circuit; Again the output terminal of an A/D change-over circuit is connected to MCU fixed port, sinusoidal voltage circuit for generating and sinusoidal voltage metering circuit are connected to coil by electronic analog swtich in one end separately, and wherein electronic analog swtich is controlled by MCU; The sinusoidal voltage circuit for generating other end is connected to MCU by sinusoidal voltage generation control line, and the other end of sinusoidal voltage metering circuit connects the 2nd A/D change-over circuit, and the 2nd A/D change-over circuit other end is connected to MCU; MEMS deviational survey integrated circuit and magnetic survey integrated circuit are connected to MCU; The two ends of 485 bus driving circuits connect 485 buses and MCU respectively; After underground deformation measurement centralized processor sends instruction by 485 buses, corresponding a pair column type integrated sensor unit meets with a response, the MCU of sensor internal will measure the coil mutual inductance magnitude of voltage Uout between column type integrated sensor unit, the axis angle between two sensors unit
θ, the center relative distance L between two sensors unit and the magnetic azimuth value of integrated sensor.
Described underground deformation measures centralized processor: comprise MCU circuit, 485 bus driving circuits, GPS measurement module and remote communication module; MCU circuit is connected with GPS measurement module respectively at remote communication module, 485 bus driving circuits, sends steering order by 485 buses to underground deformation integrated sensor string, is sent the metrical information of underground deformation by remote communication module to PC.
The beneficial effect that the present invention has is:
The present invention can realize three-dimensional measurement to the distortion that a variety of causes below earth's surface causes, and realizes the continuous three-dimensional measurement to underground deformation that current additive method cannot realize; Thus likely becoming a kind of instrument observing the deformation condition of crust deep part when plate jams, the study mechanism occurred for earthquake provides observation data; Also can be research destruction of craton, shale gas exploitation geologic media observation etc. surveying instrument is provided.
Accompanying drawing explanation
Fig. 1 is that the three-dimension measuring system of underground deformation forms schematic diagram.
Fig. 2 is column type integrated sensor unit composition diagram.
Fig. 3 is that underground deformation measures centralized processor composition diagram.
Fig. 4 measures two adjacent column type integrated sensor units of underground deformation to deform in underground figure.
Fig. 5 is elastic helix ribbon feeder structural drawing.
Fig. 6 is the relational model surface chart between three variablees of Uout, L and X.
In figure: 1,2, (m-2), (m-1), m, column type integrated sensor unit, 3,485 buses, 4, underground deformation measures centralized processor, 5, antenna, 6, remote receiver, 7, host computer, 8, earth's surface, 9, soft deflation sleeve pipe, 10, hard formation, 11,11', 11 " be elastic insulating material, 12, helically coiling line; 13, helically coiling line, 14, Internet.
Embodiment
Below in conjunction with drawings and Examples, the invention will be further described.
The present invention is that undesirable mutual electromagnetic inductance is used in integrated application, spiral parallel transmission line TDR effect or inductive effect, gravity deviational survey, the multiple Physical Mechanism such as magnetoresistance, a kind of integrated sensor unit realizing collecting aforesaid several physical is proposed, by measuring the mutual voltage Uout between two integrated sensors, spiral parallel transmission line amount of tension L, tiltangleθ, the magnetic azinuth tilted, Uout is drawn again through theoretical proof and experimental verification, L, θ and underground horizontal are out of shape X, the relational model of vertical deformation Y, at acquisition X, on the basis at Y and deformation direction angle, thus with the GPS volume coordinate unification mutually recorded, realize the three-dimensional measurement of underground deformation.
As shown in Figure 1, the present invention includes in-site measurement instrument and distant place surveying instrument, both are connected by wireless sensing communication; Wherein:
1) in-site measurement instrument is made up of underground deformation integrated sensor string and underground deformation measurement centralized processor, underground deformation integrated sensor string is connected in series by the column type integrated sensor unit that 1 ~ m structure is identical and forms, the uniform thickness rigid insulation material be encased inside between each unit, with the central point up and down of elastic helix ribbon feeder connecting cylinder type integrated unit, whole column type integrated sensor string is encapsulated in soft deflation sleeve pipe, communication and control is carried out by 485 buses between each column type integrated sensor unit, one end that underground deformation measures centralized processor is connected with m column type integrated sensor unit by 485 buses, the other end that underground deformation measures centralized processor is connected with antenna,
2) distant place surveying instrument is made up of remote receiver, PC host computer; One end of remote receiver is connected with antenna, and the other end of remote receiver is connected with PC host computer.
As shown in Figure 2, described column type integrated sensor unit: comprise coil, survey long elastic helix ribbon feeder, MEMS deviational survey integrated circuit, magnetic survey integrated circuit, sinusoidal voltage circuit for generating, sinusoidal voltage metering circuit, helical line TDR effect or inductance measurement circuit, 485 bus driving circuits, an A/D change-over circuit, the 2nd A/D change-over circuit, MCU(single-chip microcomputer) circuit;
The measuring method of L has two kinds, and one is based on TDR effect measurement, and one is measured based on inductance value; The structure of spiral parallel transmission line measuring L is shown in Fig. 5,11 in figure, 11', 11 " be elastic insulating material, 12,13 is coils of two-layer parallel spiral coiling, thus constitutes spiral parallel transmission line.Based on termination matched impedance that TDR effect measurement method is at spiral parallel transmission line, the other end adds a burst pulse voltage, because the characteristic impedance of spiral parallel transmission line can change before the stretching afterwards, analyze the change of the reflected voltage waveform before and after the stretching of spiral parallel transmission line, the size of amount of tension Δ L can be drawn, add original length L0, L=L0+ Δ L can be drawn; Based on the short at one end that inductance value measuring method is by using spiral parallel transmission line, spiral parallel transmission line inductance amount is measured at the other end, can show that not same spiral parallel transmission line is stretched as the inductance value (or induction reactance) of the correspondence of different length through demarcating, thus draw the distance L between the lower surface central point of top integrated sensor unit and the upper surface central point of bottom integrated sensor unit.
As shown in Figure 2, the input end of helical line TDR effect or inductance measurement circuit connects spiral parallel transmission line, and output terminal connects an A/D change-over circuit; Again the output terminal of an A/D change-over circuit is connected to MCU fixed port, sinusoidal voltage circuit for generating and sinusoidal voltage metering circuit are connected to coil by electronic analog swtich in one end separately, and wherein electronic analog swtich is controlled by MCU; The sinusoidal voltage circuit for generating other end is connected to MCU by sinusoidal voltage generation control line, and the other end of sinusoidal voltage metering circuit connects the 2nd A/D change-over circuit, and the 2nd A/D change-over circuit other end is connected to MCU; MEMS deviational survey integrated circuit (as MMA6260Q or other models) and magnetic survey integrated circuit (as HMC5883 or other models) are connected to MCU; The two ends of 485 bus driving circuits connect 485 buses and MCU respectively;
These circuit are contained on circular printed circuit board, especially must install (because when the geologic media residing for integrated sensor string has distortion by overlapping with the north, the east coordinate of magnetic survey integrated circuit for the xy coordinate of deviational survey MEMS integrated circuit, must be have integrated sensor unit to the direction run-off the straight of distortion, then can draw the magnetic azinuth of the deformation direction of this integrated sensor), the diameter of circular circuit board is consistent with internal coil diameter, and circular circuit board must be placed in the cylindrical space in the middle of enclosing online under the state that radial direction is vertical with the axis of coil.
After underground deformation measurement centralized processor sends instruction by 485 buses, corresponding a pair column type integrated sensor unit meets with a response, the MCU of sensor internal will measure the coil mutual inductance magnitude of voltage Uout between column type integrated sensor unit, the axis angle between two sensors unit
θ, the center relative distance L between two sensors unit and the magnetic azimuth value of integrated sensor.
As shown in Figure 3, described underground deformation measures centralized processor: comprise MCU circuit, 485 bus driving circuits, GPS measurement module and remote communication module; Control center and the data coordinates conversion terminal of in-site measurement.MCU circuit is connected with GPS measurement module respectively at remote communication module, 485 bus driving circuits, sends steering order by 485 buses to underground deformation integrated sensor string, is sent the metrical information of underground deformation by remote communication module to PC.
Distant place surveying instrument is made up of remote information receiving trap, PC host computer, software systems.Wherein software systems comprise communication program, human interface software, signal handler, graphics software, database software etc.; The registered some software copyrights of these software systems.Registered software copyright:
1, registration number: 2010SR014868, certificate number: soft work steps on No. 0203141st, word;
2, registration number: 2010SR014867, certificate number: soft work steps on No. 0203140th, word;
3, registration number: 2011SR003590, certificate number: soft work steps on No. 0267264th, word;
4, registration number: 2011SR003611, certificate number: soft work steps on No. 0267285th, word;
5, registration number: 2011SR003592, certificate number: soft work steps on No. 0267266th, word;
6, registration number: 2010SR067669, certificate number: soft work steps on No. 0255942nd, word;
7, registration number: 2011SR067671, certificate number: soft work steps on No. 0255944th, word.
The measuring method of underground deformation of the present invention:
Centralized processor is measured by underground deformation, by 485 buses, to the integrated sensor of the 1-m in integrated sensor string from the top down, two a pair, send instruction successively, require measure integrated sensor between two between mutual voltage, pitch angle, the amount of tension of spiral parallel transmission line, the magnetic azinuth tilted, and be converted into integrated sensor between two between the direction of horizontal distortion amount X and vertical deformation amount Y and distortion, be combined with ground GPS space measurement again, realize the horizontal distortion amount X will measured one by one from top to bottom successively, Y is converted into the underground deformation coordinate unified with volume coordinate.A pair integrated sensor between two between measurement be send Uin voltage by the sinusoidal voltage circuit for generating in the integrated sensor below to be relatively added on coil, the coil of the integrated sensor at this moment just senses sinusoidal voltage (i.e. mutual voltage) Uout, horizontal level X, the vertical range Y of the size of sinusoidal voltage Uout and the mutual of two integrated sensors, θ is relevant for integrated sensor axis angle, and the relationship description of X, Y, θ is shown in Fig. 4.While the circuit of the integrated sensor relatively measures Uout, also the pitch angle of integrated sensor has been measured, the magnetic azinuth of vergence direction, the elongation of spiral parallel transmission line, if be illustrated as example with Fig. 4, because integrated sensor below does not move, namely the pitch angle of integrated sensor equals the angle of two integrated sensor axis so above, through theoretical proof and experimental verification, establish under the state of different integrated sensor axis angle θ, mutual voltage Uout, horizontal level (two integrated sensor hub of a spool spacing) X, the relational model of length (distance between the lower surface central point of top integrated sensor unit and the upper surface central point of the bottom integrated sensor unit) L of spiral parallel transmission line,
Fig. 6 is the relational model surface chart of θ when being respectively 0 ° (black), 25 ° (light gray), 70 ° (Dark grey), therefore, after measuring Uout, θ, L, X can be drawn, again according to L2=X2+Y2, can Y be calculated, have the magnetic azinuth of X, Y and inclination, can converse and measure consistent volume coordinate with GPS, thus draw the volume coordinate of underground deformation.
The surveying work process of underground deformation:
In-site measurement instrument part (the integrated sensor string be made up of 1 ~ m integrated sensor unit and underground deformation are measured centralized processor and formed) uses the measuring method of aforementioned underground deformation, by measure from ground to the deformation coordinate at each position of underground different depth, the remote communication module in centralized processor is measured by underground deformation, by the mode of GPRS or GSM, be sent to the PC host computer in a distant place; Usual GPRS enters into Internet 14 by wireless network, and the PC host computer in a distant place, by wired or wireless mode and Internet UNICOM, receives the on-the-spot data sent; And GSM mode on-the-spot to send with the form of note, the remote receiver in a distant place receives in the mode of note.The data received are processed by distant place PC host computer, and carry out preserving, data form display, curve display, a series of running software such as figure display.
Claims (4)
1. the method for three-dimensional measurement of a underground deformation, it is characterized in that: multiple column type integrated sensor unit serial connection is formed sensor string, it uses undesirable mutual electromagnetic inductance, spiral parallel transmission line TDR effect or inductive effect, gravity deviational survey, the multiple Physical Mechanism of magnetoresistance, measure the mutual voltage Uout between two column type integrated sensor units, spiral parallel transmission line amount of tension L, tiltangleθ, the magnetic azinuth tilted, pass through Uout, L, θ and horizontal distortion amount X, the foundation of the relational model of vertical deformation amount Y, and measure with ground GPS volume coordinate and combine, realize successively from top to bottom column type integrated sensor unit by measuring corresponding underground deformation three-dimensional coordinate unified with volume coordinate, and situ measurements will be sent to the PC in a distant place by GPRS or GSM, PC is depicted the ground in measured zone to the soil layer motion change situation of underground deep and concrete coordinate figure, realize the three-dimensional measurement of the Rock And Soil distortion from ground to underground deep,
The measuring method of described spiral parallel transmission line amount of tension L has two kinds, and one is that one is based on inductive effect based on spiral parallel transmission line TDR effect; TDR measuring method is the termination matched impedance at spiral parallel transmission line, the other end adds a burst pulse voltage, because the matched impedance of spiral parallel transmission line can change before the stretching afterwards, analyze the change of the reflected voltage waveform before and after the stretching of spiral parallel transmission line, draw the size of amount of tension Δ L, add original length L0, draw L=L0+ Δ L; The measuring method of inductive effect is the short at one end by using spiral parallel transmission line, spiral parallel transmission line inductance amount is measured at the other end, show that not same spiral parallel transmission line is stretched as inductance value or the induction reactance of the correspondence of different length through demarcating, thus draw the distance L between the lower surface central point of Upper cylindrical type integrated sensor unit and the upper surface central point of lower cylindrical type integrated sensor unit;
The measuring method of described tiltangleθ, the magnetic azinuth of inclination, install coordinate is overlapping the north, the east of the xy coordinate of the deviational survey MEMS integrated circuit in column type integrated sensor unit and magnetic survey integrated circuit, then when the geologic media residing for described sensor string has distortion, must be have column type integrated sensor unit to the direction run-off the straight of distortion, then can draw the position angle of the vergence direction of column type integrated sensor.
2. for the three-dimension measuring system of a kind of underground deformation of method described in claim 1, it is characterized in that: comprise in-site measurement instrument and distant place surveying instrument, both are connected by wireless sensing communication; Wherein:
1) in-site measurement instrument is made up of described sensor string and underground deformation measurement centralized processor, described sensor string is connected in series by the column type integrated sensor unit that 1 ~ m structure is identical and forms, the uniform thickness rigid insulation material be encased inside between each unit, with the central point up and down of elastic helix ribbon feeder connecting cylinder type integrated sensor unit, whole described sensor string is encapsulated in soft deflation sleeve pipe, communication and control is carried out by 485 buses between each column type integrated sensor unit, one end that underground deformation measures centralized processor is connected with m column type integrated sensor unit by 485 buses, the other end that underground deformation measures centralized processor is connected with antenna,
2) distant place surveying instrument is made up of remote receiver, PC; One end of remote receiver is connected with antenna, and the other end of remote receiver is connected with PC.
3. the three-dimension measuring system of a kind of underground deformation according to claim 2, it is characterized in that, described column type integrated sensor unit: comprise coil, survey long elastic helix ribbon feeder, MEMS deviational survey integrated circuit, magnetic survey integrated circuit, sinusoidal voltage circuit for generating, sinusoidal voltage metering circuit, spiral parallel transmission line TDR effect or inductive effect metering circuit, 485 bus driving circuits, an A/D change-over circuit, the 2nd A/D change-over circuit, MCU circuit; The input end of spiral parallel transmission line TDR effect or inductance measurement circuit connects spiral parallel transmission line, and output terminal connects an A/D change-over circuit; Again the output terminal of an A/D change-over circuit is connected to MCU fixed port, sinusoidal voltage circuit for generating and sinusoidal voltage metering circuit are connected to coil by electronic analog swtich in one end separately, and wherein electronic analog swtich is controlled by MCU; The sinusoidal voltage circuit for generating other end is connected to MCU by sinusoidal voltage generation control line, and the other end of sinusoidal voltage metering circuit connects the 2nd A/D change-over circuit, and the 2nd A/D change-over circuit other end is connected to MCU; MEMS deviational survey integrated circuit and magnetic survey integrated circuit are connected to MCU; The two ends of 485 bus driving circuits connect 485 buses and MCU respectively; After underground deformation measurement centralized processor sends instruction by 485 buses, corresponding a pair column type integrated sensor unit meets with a response, the MCU of sensor internal will measure the mutual voltage Uout between column type integrated sensor unit, the pitch angle between two sensors unit
θ, the spiral parallel transmission line amount of tension L between two column type integrated sensor units and the magnetic azimuth value of inclination.
4. the three-dimension measuring system of a kind of underground deformation according to claim 2, is characterized in that, described underground deformation measures centralized processor: comprise MCU circuit, 485 bus driving circuits, GPS measurement module and remote communication module; MCU circuit is connected with remote communication module, 485 bus driving circuits and GPS measurement module respectively, sends steering order by 485 buses to described sensor string, is sent the metrical information of underground deformation by remote communication module to PC.
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| CN104297795B (en) * | 2014-11-06 | 2016-09-14 | 安徽理工大学 | A kind of aircraft black box based on impedance analysis detection experimental provision and method |
| CN104316955B (en) * | 2014-11-06 | 2017-01-18 | 安徽理工大学 | Tectonic earthquake prediction experimental device and method based on impedance analysis |
| CN104359396A (en) * | 2014-12-04 | 2015-02-18 | 中国地质调查局水文地质环境地质调查中心 | Landslide deep inclination monitoring device and method |
| CN104833328B (en) * | 2015-04-29 | 2020-07-21 | 深圳市北斗云信息技术有限公司 | Flexible intelligent inclination measuring rope |
| CN105180795B (en) * | 2015-10-09 | 2018-04-27 | 中国计量学院 | Rock And Soil deformation measurement method and instrument system based on deviational survey and Hall effect |
| CN107462146B (en) * | 2017-09-04 | 2023-07-25 | 中国计量大学 | Underground three-dimensional displacement measurement system and method based on multi-mutual inductance mechanism |
| CN108631422B (en) * | 2018-06-13 | 2023-09-05 | 中国计量大学 | Wireless power transmission device and method for underground displacement measurement integrated sensor |
| CN109827519B (en) * | 2019-03-14 | 2020-06-02 | 广东聚源管业实业有限公司 | Pipeline deformation monitoring method |
| CN111765858A (en) * | 2020-06-18 | 2020-10-13 | 中铁第四勘察设计院集团有限公司 | Displacement measuring method, displacement measuring device, inclinometer and computer storage medium |
| CN112097633B (en) * | 2020-09-08 | 2022-02-22 | 中国计量大学 | Underground displacement three-dimensional measurement system and method based on double-mutual-inductance equivalent voltage |
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