CN110243278A - A kind of rock displacement amount distributed measurement method - Google Patents
A kind of rock displacement amount distributed measurement method Download PDFInfo
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- CN110243278A CN110243278A CN201910619103.9A CN201910619103A CN110243278A CN 110243278 A CN110243278 A CN 110243278A CN 201910619103 A CN201910619103 A CN 201910619103A CN 110243278 A CN110243278 A CN 110243278A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/16—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring the deformation in a solid, e.g. by resistance strain gauge
- G01B7/18—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring the deformation in a solid, e.g. by resistance strain gauge using change in resistance
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Abstract
The invention discloses a kind of rock displacement amount distributed measurement methods.Its transmission time using time domain reflection technology measuring signal in the helical transmission line that a known length is not stretched, the characteristic impedance for obtaining transmission speed of the signal in helical transmission line and being not stretched under state;Threshold value is converted according to given characteristic impedance, the characteristic impedance of measurement in the operating condition, until the variation of the characteristic impedance measured is greater than threshold value, that is it is determined that there is stretching, it measures the characteristic impedance changed time and restores the time of normal value, the length of stretch zones to be calculated;It according to the maximum characteristic impedance in the stretch zones measured, brings fitting function into and obtains amount of tension, obtain the circle number for stretching the helical transmission line in section, finally obtain stretching total amount.The beneficial effects of the present invention are: realizing the measurement of the biggish amount of tension of ground, causes damages for greatly reduction address catastrophe to the mankind and provide the measurement and monitoring method that one kind is accurate, is easily achieved.
Description
Technical field
The present invention relates to Geological Hazards Monitorings and prediction correlative technology field, and it is distributed to refer in particular to a kind of rock displacement amount
Measurement method.
Background technique
Although expanding research to the monitoring of Hidden hazrads point already all over the world, geological hazards prediction is still people
The a great problem faced, the event to be caused casualties by geological disaster still occur often.From every year announcing for China statistical
The frequency that the available annual geological disaster of China occurs in the disaster yearbook of address is higher, in recent years for hazards control
Investment increases year by year.Monitoring, early warning and the prevention of geological disaster are still an important job.In order to make the generation of geological disaster
It is effectively controlled, preferably Hidden hazrads point is monitored, takes precautions against various geological disasters in time, for various complexity
Topographic and geologic, there has been proposed based on Ground Deformation amount, underground deformation quantity, soil moisture content, slopes inclination angle, rainfall intensity etc.
The monitoring means of a variety of physical quantity fusions, and soil deformation quantity is important one of physical quantity.Geological disaster can according to the origin cause of formation,
Geological environment, geomorphic feature, injures and deaths degree etc. are classified, and classification method is more.In the monitoring side of various geological disasters
In method, the measurement of earth's surface and underground deformational displacement is main monitoring mode, in the measurement of landslide, earth's surface and underground deformational displacement
Monitoring still obtain landslide range, position of slip surface, a kind of most direct and most fruitful means of deformation behaviours such as sliding direction,
Accurately data information can be provided for preventing land slide.
The monitoring master sensing technology to be used of current ground deformational displacement amount has remote sensing technology, navigation satellite positioning skill
Art, total station observation technology, bracing wire displacement sensing technology, coaxial cable deformation sensing technology, optical-fiber deformation sensing technology peace
Row helical transmission line deformation sensing technology etc..The measurement method measurement range of first three is very wide, and precision has reached 1mm, but holds
Influence vulnerable to vegetation;Bracing wire displacement sensing technology measurement accuracy is up to 0.1mm, but anti-interference ability is poor.Miniature deformation
Distributed measurement use optical-fiber deformation sensing technology always, precision up to 100nm, but larger deformation for ground and
The stronger distributed measurement of stretching resistance ability lacks similar method for sensing and element.
The patent No. 201110361043.9 discloses a kind of distribution that parallel spiral transmission line structure is deformed for ground
Measurement, which is buried in underground or earth's surface, when tensile deformation occurs, it is difficult to ensure that two conductors are all flat at any point
Capable, and be not specifically related to how this parallel spiral transmission line structure is realized.Ground drawing is only gived in the patent
The locating measurement method stretched, and the measurement of amount of tension is not specifically given.The patent No. 201610560335.8, which discloses, to be based on
The foundation of the ground deformation position distribution measuring model of parallel spiral transmission line, by establishing least squares support vector machines
Prediction model accurately measures deformation position, and this method will carry out stretching survey to transmission line first with otdr measurement device
Amount carries out feature extraction to the data of measurement, obtains feature vector, to the stretching mechanism of transmission line, line characteristic impedance
It solves and the relationship between characteristic impedance and amount of tension does not all provide, and the distributed measurement of ground deformation is in addition to measuring shape
Displacement is set, it is often more important that the amount of tension for measuring deformation and the measurement method for stretching total amount also do not provide.
Summary of the invention
The present invention be in order to overcome the above deficiencies in the prior art, provide a kind of accurate measurement stretch position and
The rock displacement amount distributed measurement method of amount of tension size.
To achieve the goals above, the invention adopts the following technical scheme:
A kind of rock displacement amount distributed measurement method proposes the solving model of parallel helical transmission line distribution parameter, divides
The method for solving of cloth parameter, to obtain the characteristic impedance of parallel helical transmission line and the fitting function of ground amount of tension;Specifically
Include the following steps:
(1) using time domain reflection technology measuring signal in the parallel helical transmission line that a known length is not stretched
Transmission time, obtains transmission speed of the signal in parallel helical transmission line, can equally measure parallel under the state of being not stretched
The characteristic impedance of helical transmission line;
(2) according to the transformation threshold value of given characteristic impedance, the spy of parallel helical transmission line in the operating condition is measured
Property impedance decided that simultaneously if the characteristic impedance measured is less than transformation threshold value with the characteristic impedance difference that is not stretched under state
Row helical transmission line is not stretched, and the characteristic impedance such as measured is more than or equal to threshold with the characteristic impedance difference being not stretched under state
Value, that is it is determined that there is stretching;
(3) measurement the characteristic impedance changed time and restore normal value time, calculate this time difference multiplied by
The transmission speed of signal can be obtained by the length of stretch zones, calculate the measurement characteristic impedance changed time multiplied by signal
Transmission speed halve the distance that can be obtained by drawing point apart from parallel helical transmission line starting point again;
(4) according to the maximum characteristic impedance in the stretch zones measured, bringing fitting function into can be obtained by amount of tension;
(5) it can be drawn according to the length of obtained stretch zones divided by the lead under parallel helical transmission line tensional state
The circle number for stretching the parallel helical transmission line in section may finally obtain stretching total amount.
A kind of parallel helical transmission line that the present invention designs is used for ground amount of tension distributed measurement, base as sensing element
Distributed parameter model when the parallel helical transmission line of proposition is in stretching, has obtained its distribution capacity, distributed inductance, final to obtain
The theoretical formula and fitting function for having arrived parallel helical transmission line characteristic impedance Yu ground amount of tension, in conjunction with time domain reflection technology and
The upper computer software write can accurately measure the size of stretch position and amount of tension, realize the distribution of ground stretching
The measurement of the biggish amount of tension of ground may be implemented in measurement, this method, causes greatly to reduce address catastrophe to the mankind
Harm provides the measurement and monitoring method that one kind is accurate, is easily achieved.
Preferably, the parallel helical transmission line includes center silica gel strip, parallel copper conductor and Silicone Case, and
Row copper conductor is spirally wound on the lateral surface of center silica gel strip, and Silicone Case is coated on the outside of parallel copper conductor, wherein
Parallel copper conductor includes silica gel crust and two copper conductors, and the silica gel crust coats copper conductor, leads between two copper conductors
Silica gel adhesion is crossed, the distance between two copper conductors d is fixed value, and the parallel helical transmission line lead of spiral winding is d+s,
The initial value of middle amount of tension s is equal to d, and when parallel helical transmission line is stretched, amount of tension s becomes larger with stretching;Center silicon
The diameter of adhesive tape is D, and variation, the parallel helical transmission line and center silica gel of parallel copper conductor winding will not be generated with stretcher strain
The angle in central axis direction is θ where item.
Preferably, two copper conductors among parallel copper conductor are all made of 40/60/100/150 four kinds of lines
The tinned copper wire coiling that one of rule and every diameter are 0.08mm forms.
Preferably, the solving model of parallel helical transmission line distribution parameter is as follows: i.e. by parallel helical transmission line from a left side
It is in turn divided into normal non-stretched region, gradation zone, stretch zones, gradation zone and normal non-stretched region to the right side, when simultaneously
When incoming signal being added in row helical transmission line, stretch zones center certain point is taken to calculate parallel helical transmission line at this point
Electric field strength, by the voltage between available two copper conductors of electric field strength, thus according to two unit length copper conductors
Between charge density and voltage the ratio between of the capacitor between two copper conductors obtain distribution capacity and distributed inductance, according to lossless
Transmission line or the expression formula of low loss line characteristic impedance release the characteristic impedance expression formula of parallel helical transmission line, Zhi Houji
The fitting function of ground amount of tension is obtained according to the characteristic impedance of parallel helical transmission line in time domain reflection technology.
Preferably, specific calculation method is as follows:
The parallel helical transmission line in the center of stretch zones is to be defined as A0And B0, wherein A0Positioned at B0The left side, A0And B0Position
In the top of center silica gel strip, A0' and B0' it is located at the lower section of center silica gel strip, it is assumed that the left side has n to pass the parallel spiral of stretching
There is n on defeated line, the right to the parallel helical transmission line of stretching,
When incoming signal is added in copper conductor, it is assumed that two copper conductors are uniform charged conducting wire, charge line density point
Not Wei-η and η, direction of an electric field now takes perpendicular to the diameter direction vector of the copper conductor in stretch zones center B0And AR1Spacing
From B0There is a P point at place x, your theorem, the live wire B of finite length are cut down according to Biot-Sa0B’0P point electric field strength along x
The expression formula of axis is
Here ε is the relative dielectric constant of medium, Lp=D/2cos θ, the live wire B of finite length0B’0The axis at place
It is perpendicular with y-axis and be x-axis towards the axis in P point direction for y-axis, it is generated according to all live wires of superposition theorem in P point
Electric field strength is
E=EAL+EBR+EBL+EAR (2)
Subscript first letter indicates that two copper conductors in parallel helical transmission line are respectively A and B, subscript on the right side of equation
Second letter indicates that parallel screw conveyor line position is located at the left side L and right side R of P point, 4 electric field strengths difference in equation
Are as follows:
K is parallel helical transmission line quantity all at left and right sides of P point in formula, in order to simplify calculating and guarantee certain essence
K can take 3-5 under the premise of degree;
According to the available B of Gauss theorem0And AR1Between voltage be
K=3 is taken, that integral constant is
According to the ratio between charge density of the capacitor between two unit length copper conductors between two copper conductors and voltage, after
It is to distribution capacity
According to the available distributed inductance of formula of inductance capacitance in the medium that constitutive parameter is (μ, ε), μ is relative magnetic permeability
Rate, that distributed inductance expression formula are
The parallel helical transmission line released according to loss-free line or the expression formula of low loss line characteristic impedance
Characteristic impedance expression formula are as follows:
From the characteristic impedance of the available parallel helical transmission line of the formula it is only related with its structural characteristic parameter (r, d, D,
θ);
Bring the characteristic parameter of four kinds of line gauge helixes into formula (8) respectively, spy when parallel helical transmission line is stretched
The curve that property impedance changes with s can be in the hope of;
When s is fixed value, characteristic impedance, through gradation zone, is gradually decreased as normally not from stretch zones intermediate maximum
Be stretched the minimum fixed value in region, and according to stretching structure feature, characteristic impedance is the interposition stretched with change in location feature
The characteristic impedance set is maximum value, is gradually reduced toward both sides, the minimum fixed value until being not stretched region;
It is that amount of tension s is determined according to the characteristic impedance of measurement, that just needs to obtain formula based on time domain reflection technology
(8) inverse function, but formula (8) is very complicated, and for the ease of practical application and operation, the curve obtained by formula (8) is adopted
With the method for Function Fitting, fitting formula is
Wherein a, b and c are fitting coefficient, that can be assured that according to formula (9) using the characteristic impedance of measurement
Amount of tension.
The beneficial effects of the present invention are: the measurement of the biggish amount of tension of ground may be implemented, greatly to reduce ground
Location catastrophe, which causes damages to the mankind, provides measurement and monitoring method a kind of accurate, be easily achieved.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of two parallel helical transmission lines in the present invention;
Fig. 2 is the sectional view of parallel copper conductor in Fig. 1;
Fig. 3 is the distribution parameter solving model of parallel helical transmission line in the present invention;
Fig. 4 is that electric field solves schematic diagram;
Fig. 5 is the graph of relation between the characteristic impedance and amount of tension s of the parallel helical transmission line of four kinds of line gauges;
Fig. 6 is flow chart of the method for the present invention.
In figure: 1. center silica gel strips, 2. parallel copper conductors, 3. Silicone Cases, 4. copper conductors, 5. silica gel crusts.
Specific embodiment
The present invention will be further described with reference to the accompanying drawings and detailed description.
In embodiment as described in Figure 6, a kind of rock displacement amount distributed measurement method proposes parallel helical transmission line point
The method for solving of the solving model of cloth parameter, distribution parameter, to obtain the characteristic impedance of parallel helical transmission line and ground is drawn
The fitting function for the amount of stretching;
The solving model of parallel helical transmission line distribution parameter is as follows: from left to right successively drawing parallel helical transmission line
It is divided into normal non-stretched region, gradation zone, stretch zones, gradation zone and normal non-stretched region, when parallel screw conveyor
When incoming signal being added in line, stretch zones center certain point is taken to calculate the electric field strength of parallel helical transmission line at this point,
By the voltage between available two copper conductors of electric field strength, to be according to the capacitor between two unit length copper conductors
The ratio between charge density and voltage between two copper conductors obtain distribution capacity and distributed inductance, according to loss-free line or low
The expression formula of lossy transmission characteristic impedance releases the characteristic impedance expression formula of parallel helical transmission line, is based on Time Domain Reflectometry later
Technology obtains the fitting function of ground amount of tension according to the characteristic impedance of parallel helical transmission line;
Specifically comprise the following steps:
(1) using time domain reflection technology measuring signal in the parallel helical transmission line that a known length is not stretched
Transmission time, obtains transmission speed of the signal in parallel helical transmission line, can equally measure parallel under the state of being not stretched
The characteristic impedance of helical transmission line;
(2) according to the transformation threshold value of given characteristic impedance, the spy of parallel helical transmission line in the operating condition is measured
Property impedance decided that simultaneously if the characteristic impedance measured is less than transformation threshold value with the characteristic impedance difference that is not stretched under state
Row helical transmission line is not stretched, and the characteristic impedance such as measured is more than or equal to threshold with the characteristic impedance difference being not stretched under state
Value, that is it is determined that there is stretching;
(3) measurement the characteristic impedance changed time and restore normal value time, calculate this time difference multiplied by
The transmission speed of signal can be obtained by the length of stretch zones, calculate the measurement characteristic impedance changed time multiplied by signal
Transmission speed halve the distance that can be obtained by drawing point apart from parallel helical transmission line starting point again;
(4) according to the maximum characteristic impedance in the stretch zones measured, bringing fitting function into can be obtained by amount of tension;
(5) it can be drawn according to the length of obtained stretch zones divided by the lead under parallel helical transmission line tensional state
The circle number for stretching the parallel helical transmission line in section may finally obtain stretching total amount.
Wherein: as shown in Figure 1, parallel helical transmission line includes center silica gel strip 1, parallel copper conductor 2 and Silicone Case
3, parallel copper conductor 2 is spirally wound on the lateral surface of center silica gel strip 1, and Silicone Case 3 is coated on the outer of parallel copper conductor 2
Side, center silica gel strip 1 have certain elasticity, guarantee that the parallel helical transmission line has preferable tensile properties;Wherein: as schemed
Shown in 2, parallel copper conductor 2 includes silica gel crust 5 and two copper conductors 4, and silica gel crust 5 coats copper conductor 4, two copper conductors 4
Between by silica gel adhesion, the effect of intermediate adhesion silica gel is to guarantee that the distance between two copper conductors 4 d is fixed value, spiral
The parallel helical transmission line lead of winding is d+s, and wherein the initial value of amount of tension s is equal to d, and parallel helical transmission line is stretched
When, amount of tension s becomes larger with stretching;The diameter of center silica gel strip 1 is D, will not generate variation, parallel copper with stretcher strain
The angle of parallel helical transmission line and 1 place central axis direction of center silica gel strip that conducting wire 2 is wound is θ.Parallel copper conductor 2
Two intermediate copper conductors 4 are all made of one of 40/60/100/150 four kinds of line gauges and every diameter is
The tinned copper wire coiling of 0.08mm forms.
Between the parallel helical transmission line characteristic impedance proposed in order to obtain and tensile deformation position, tensile deformation amount
Relationship, distribution parameter solving model when the parallel helical transmission line of foundation stretches are as shown in Figure 3.When stretching, parallel spiral
Transmission line is divided into stretch zones, gradation zone and normal non-stretched region, and the s value of stretch zones is maximum, through gradation zone by
Step is reduced to initial value d.The parallel helical transmission line in the center of stretch zones is to be defined as A0And B0, it is assumed that the left side has n to stretching
Parallel helical transmission line, the right have n to the parallel helical transmission line of stretching.
When incoming signal is added in copper conductor, it is assumed that two copper conductors are uniform charged conducting wire, charge line density point
Not Wei-η and η, direction of an electric field now takes perpendicular to the diameter direction vector of the copper conductor in stretch zones center B0And AR1Spacing
From B0There is a P point at place x, your theorem, the live wire B of finite length are cut down according to Biot-Sa0B’0P point electric field strength along x
The expression formula of axis is
Here ε is the relative dielectric constant of medium, Lp=D/2cos θ, it is as shown in Figure 4 that electric field strength solves schematic diagram.Root
It is in the electric field strength that P point generates according to all live wires of superposition theorem
E=EAL+EBR+EBL+EAR (2)
Subscript first letter indicates that two copper conductors in parallel helical transmission line are respectively A and B, subscript on the right side of equation
Second letter indicates that parallel screw conveyor line position is located at the left side L and right side R of P point.4 electric field strengths difference in equation
Are as follows:
K is parallel helical transmission line quantity all at left and right sides of P point in formula.In order to simplify calculating and guarantee certain essence
K can take 3-5 under the premise of degree.
According to the available B of Gauss theorem0And AR1Between voltage be
K=3 is taken, that integral constant is
According to the ratio between charge density of the capacitor between two unit length copper conductors between two copper conductors and voltage, after
It is to distribution capacity
According to the available distributed inductance of formula of inductance capacitance in the medium that constitutive parameter is (μ, ε), μ is relative magnetic permeability
Rate, that distributed inductance expression formula are
The parallel helical transmission line released according to loss-free line or the expression formula of low loss line characteristic impedance
Characteristic impedance expression formula are as follows:
From the characteristic impedance of the available parallel helical transmission line of the formula it is only related with its structural characteristic parameter (r, d, D,
θ)。
There is the conductor of the tinned copper wire coiling of 40 and every diameter 0.08mm to inside, every tinned copper wire radius is
0.04mm, single total sectional area 40 × π × 0.042mm2, then equivalent diameter is about 0.5mm, the special knot of the parallel helical transmission line
It is r=0.25mm, d=1.6mm, D=4.6mm, θ=30 that structure, which levies parameter,.It can similarly determine that inside has 60/100/150
The equivalent diameter and characteristic parameter for the conductor that root tinned copper wire is coiled into.Bring the characteristic parameter of four kinds of line gauge helixes into public affairs respectively
Formula (8), the curve that characteristic impedance when parallel helical transmission line is stretched changes with s can be in the hope of as shown in Figure 5.
Can be obtained according to Fig. 5, when s be fixed value when, characteristic impedance from stretch zones intermediate maximum through gradation zone, gradually
It is reduced to normally be not stretched the minimum fixed value in region, according to stretching structure feature, characteristic impedance is with change in location feature
The characteristic impedance in the middle position of stretching is maximum value, is gradually reduced toward both sides, the minimum fixed value until being not stretched region.
It is that amount of tension s is determined according to the characteristic impedance of measurement, that just needs to obtain formula based on time domain reflection technology
(8) inverse function, but formula (8) is very complicated, for the ease of practical application and operation, will be used by Fig. 5 that formula (8) obtain
The method of Function Fitting, fitting formula are
Wherein a, b and c are fitting coefficient, that can be assured that according to formula (9) using the characteristic impedance of measurement
Amount of tension.
Based on time domain reflection technology, the upper computer software write realizes the positioning measurement of stretch position and stretches measurement
Method flow diagram, as shown in Figure 6.Specifically comprise the following steps:
(1) measurement is not stretched the transmission time T of parallel helical transmission line, according to the wire length of known parallel helical transmission line
L calculates transmission speed v=L/ (2T) of the signal in parallel helical transmission line;
(2) the characteristic impedance Z for the parallel helical transmission line that measurement is not stretched, characteristic impedance converts threshold value when setting stretches
△Z;
(3) under real-time measurement working condition parallel helical transmission line characteristic impedance Z ', whether real-time judge meet Z '-Z
> △ Z, continues real-time measurement if being unsatisfactory for, in next step if meeting;
(4) propagation time T of the measurement characteristic impedance from parallel helical transmission line beginning to variation1, and restore it is normal when
Between T2, calculating drawing point is vT with a distance from beginning1/ 2, calculating and stretching the length in section is Ltotal=v (T2-T1);
(5) measurement stretches the maximum value of section characteristic impedance, and the formula (9) for bringing fitting function into can be obtained by amount of tension
S calculates the circle number N=L for stretching sectiontotal/ (s+d), calculating and stretching total amount is N (s-d).
Parallel helical transmission line is used for ground amount of tension distributed measurement by the method that the present invention designs,
Distributed parameter model of the parallel helical transmission line based on proposition when stretching, has obtained its distribution capacity, distributed inductance, finally
The fitting function of parallel helical transmission line characteristic impedance and ground amount of tension has been obtained, in conjunction with time domain reflection technology and has been write upper
Position machine software, can accurately measure the size of stretch position and amount of tension, realize the distributed measurement of ground stretching, the party
The measurement of the biggish amount of tension of ground may be implemented in method, causes damages and provides to the mankind for greatly reduction address catastrophe
A kind of accurate, the measurement and monitoring method that are easily achieved.
Claims (5)
1. a kind of rock displacement amount distributed measurement method, characterized in that propose the solution of parallel helical transmission line distribution parameter
The method for solving of model, distribution parameter, to obtain the characteristic impedance of parallel helical transmission line and the fitting letter of ground amount of tension
Number;Specifically comprise the following steps:
(1) transmission using time domain reflection technology measuring signal in the parallel helical transmission line that a known length is not stretched
Time, transmission speed of the signal in parallel helical transmission line is obtained, can equally measure parallel spiral under the state of being not stretched
The characteristic impedance of transmission line;
(2) according to the transformation threshold value of given characteristic impedance, the characteristic resistance of parallel helical transmission line in the operating condition is measured
It is anti-, if the characteristic impedance measured is less than transformation threshold value with the characteristic impedance difference being not stretched under state, decide that parallel spiral shell
Rotation transmission line is not stretched, and the characteristic impedance such as measured is more than or equal to threshold value with the characteristic impedance difference being not stretched under state,
That is it is determined that there is stretching;
(3) time of measurement characteristic impedance changed time and recovery normal value, this time difference is calculated multiplied by signal
Transmission speed can be obtained by the length of stretch zones, calculate the measurement characteristic impedance changed time multiplied by the biography of signal
Defeated speed halves the distance that can be obtained by drawing point apart from parallel helical transmission line starting point again;
(4) according to the maximum characteristic impedance in the stretch zones measured, bringing fitting function into can be obtained by amount of tension;
(5) drawing zone can be obtained divided by the lead under parallel helical transmission line tensional state according to the length of obtained stretch zones
Between parallel helical transmission line circle number, may finally obtain stretch total amount.
2. a kind of rock displacement amount distributed measurement method according to claim 1, characterized in that the parallel spiral
Transmission line includes center silica gel strip (1), parallel copper conductor (2) and Silicone Case (3), and parallel copper conductor (2) is spirally wound on
On the lateral surface of center silica gel strip (1), Silicone Case (3) is coated on the outside of parallel copper conductor (2), wherein parallel copper conductor
It (2) include silica gel crust (5) He Lianggen copper conductor (4), the silica gel crust (5) coats copper conductor (4), two copper conductors
(4) by silica gel adhesion between, the distance between two copper conductors (4) d is fixed value, the parallel helical transmission line of spiral winding
Lead is d+s, and wherein the initial value of amount of tension s is equal to d, and when parallel helical transmission line is stretched, amount of tension s is with stretching and gradually
Become larger;The diameter of center silica gel strip (1) is D, and variation, the parallel spiral shell of parallel copper conductor (2) winding will not be generated with stretcher strain
The angle in central axis direction is θ where revolving transmission line and center silica gel strip (1).
3. a kind of rock displacement amount distributed measurement method according to claim 2, characterized in that parallel copper conductor (2)
Two intermediate copper conductors (4) are all made of one of 40/60/100/150 four kinds of line gauges and every diameter is
The tinned copper wire coiling of 0.08mm forms.
4. a kind of rock displacement amount distributed measurement method according to claim 2 or 3, characterized in that parallel spiral passes
The solving model of defeated line distribution parameter is as follows: parallel helical transmission line being from left to right in turn divided into normal non-stretched area
Domain, gradation zone, stretch zones, gradation zone and normal non-stretched region, when incoming signal is added in parallel helical transmission line
When, take stretch zones center certain point to calculate the electric field strength of parallel helical transmission line at this point, it can be with by electric field strength
The voltage between two copper conductors is obtained, thus the electricity according to the capacitor between two unit length copper conductors between two copper conductors
The ratio between lotus density and voltage obtain distribution capacity and distributed inductance, are hindered according to loss-free line or low loss line characteristic
Anti- expression formula releases the characteristic impedance expression formula of parallel helical transmission line, later based on time domain reflection technology according to parallel spiral
The characteristic impedance of transmission line obtains the fitting function of ground amount of tension.
5. a kind of rock displacement amount distributed measurement method according to claim 4, characterized in that specific calculation method
It is as follows:
The parallel helical transmission line in the center of stretch zones is to be defined as A0And B0, wherein A0Positioned at B0The left side, A0And B0In being located at
The top of heart silica gel strip, A0' and B0' it is located at the lower section of center silica gel strip, it is assumed that there is n on the left side to the parallel helical transmission line of stretching,
The right has n to the parallel helical transmission line of stretching, when incoming signal is added in copper conductor, it is assumed that two copper conductors are homogeneous band
Electric lead, charge line density are respectively-η and η, and direction of an electric field now takes and drawing perpendicular to the diameter direction vector of the copper conductor
Stretch regional center B0And AR1Between distance B0There is a P point at place x, your theorem, the live wire of finite length are cut down according to Biot-Sa
B0B′0It is along the expression formula of x-axis in the electric field strength of P point
Here ε is the relative dielectric constant of medium, Lp=D/2cos θ, the live wire B of finite length0B′0The axis at place is y
Axis, it is perpendicular with y-axis and towards the axis in P point direction be x-axis, the electricity generated according to all live wires of superposition theorem in P point
Field intensity is
E=EAL+EBR+EBL+EAR (2)
Subscript first letter indicates that two copper conductors in parallel helical transmission line are respectively A and B, subscript second on the right side of equation
A letter indicates that parallel screw conveyor line position is located at the left side L and right side R of P point, and 4 electric field strengths in equation are respectively as follows:
K is parallel helical transmission line quantity all at left and right sides of P point in formula, before simplifying calculating and guaranteeing certain precision
3-5 can be taken by putting K;
According to the available B of Gauss theorem0And AR1Between voltage be
K=3 is taken, that integral constant is
According to the ratio between charge density of the capacitor between two unit length copper conductors between two copper conductors and voltage, after divided
Cloth capacitor is
According to the available distributed inductance of formula of inductance capacitance in the medium that constitutive parameter is (μ, ε), μ is relative permeability,
That distributed inductance expression formula is
According to the characteristic for the parallel helical transmission line that loss-free line or the expression formula of low loss line characteristic impedance are released
Impedance expression are as follows:
Characteristic impedance from the available parallel helical transmission line of the formula is only related (r, d, D, θ) with its structural characteristic parameter;
Bring the characteristic parameter of four kinds of line gauge helixes into formula (8) respectively, characteristic resistance when parallel helical transmission line is stretched
The anti-curve changed with s can be in the hope of;
When s is fixed value, characteristic impedance, through gradation zone, is gradually decreased as not drawn normally from stretch zones intermediate maximum
The minimum fixed value for stretching region, according to stretching structure feature, characteristic impedance is the middle position stretched with change in location feature
Characteristic impedance is maximum value, is gradually reduced toward both sides, the minimum fixed value until being not stretched region;
It is that amount of tension s is determined according to the characteristic impedance of measurement based on time domain reflection technology, that just needs to obtain formula (8)
Inverse function, but formula (8) is very complicated, for the ease of practical application and operation, will use function by the curve that formula (8) obtain
The method of fitting, fitting formula are
Wherein a, b and c are fitting coefficient, that can be assured that stretching using the characteristic impedance of measurement according to formula (9)
Amount.
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CN201910619103.9A CN110243278B (en) | 2019-07-10 | 2019-07-10 | Distributed measurement method for rock-soil displacement |
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