CN111812706B - Component type borehole strain gauge for measuring seismic strain wave and measuring method thereof - Google Patents
Component type borehole strain gauge for measuring seismic strain wave and measuring method thereof Download PDFInfo
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Abstract
The invention discloses a component type borehole strain gauge for measuring seismic strain wave and a measuring method thereof, wherein the strain gauge comprises the following components: the drilling probe is of a cylinder structure; the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe, the fourth horizontal measuring laser interferometer probe, the first vertical measuring laser interferometer probe, the second vertical measuring laser interferometer probe and the vertical strain measuring laser interferometer probe are respectively arranged on the inner wall of the drilling probe; each laser interferometer probe is electrically connected with the strain gauge host. Any incident seismic strain wave can be measured through a plurality of laser interferometer probes, and accurate measurement of the seismic strain wave of the three-dimensional strain field is realized.
Description
Technical Field
The invention relates to a strain gauge for measuring seismic strain waves, in particular to a component type borehole strain gauge for measuring seismic strain waves and a measuring method thereof.
Background
At present, in order to observe weak structural strain signals of dynamic processes such as volcanic, earthquake and the like, strain resolution is better than 10 -9 Such as: samcks-everrson type, TJ type and other volumetric strain gauges, RZB type, YRY type, GTSM type, SKZ type and other quantitative strain gauges. These high resolution borehole strain gauges have been currently deployed in a range of earth observation tables such as plate boundary observation tables (Plate Boundary Observatory (PBO)), chinese seismic observation tables, and the like. The observation result has important application in scientific researches such as volcanic dynamics, earthquake inoculation occurrence process (instantaneous slip, fault creep, earthquake nucleation, slow earthquake, silent earthquake and the like), earthquake source evaluation, earthquake prediction and the like.
At present, when a borehole strain gauge is used, the strain field epsilon of the earth to the earth is reduced in order to reduce the earth surface interference R The effect of the measurement is that the measuring probe of the borehole strain gauge is installed at a certain depth in the borehole (the diameter d of the borehole is about 100 mm), and the measuring probe is coupled with the borehole bedrock by using the expansion cement. Local crust strain field epsilon R When the change occurs, the deformation of the drilling hole, the expansion cement and the probe steel cylinder changes, the relative change of the inner diameter (or volume) of the probe steel cylinder can be directly measured through the measuring unit of the probe, and then the azimuth of the measuring unit is consideredThe matrix can obtain instrument strain epsilon I . Such as assuming a strain field epsilon of the crust R The strain field is uniform within the range of more than five times of the diameter of the drill hole near the drill hole, and then the strain field epsilon of the crust is given based on the stress concentration model of the two-ring hybrid round hole under the far-field uniform strain effect R And instrument strain epsilon I The linear static coupling relationship can be expressed as: epsilon R ＝K -1 ε I Wherein K is a static coupling coefficient matrix, and is related to physical properties and geometric properties of drilling holes, expansion cement and probe steel cylinders.
Because the differential capacitive sensor can only measure the radial change inside the probe, the current borehole strain gauge measures the strain component in the static horizontal plane, namely the plane strain field is measured, the seismic strain wave is normally obliquely incident into the borehole, the formed incident strain field is a three-dimensional strain field, and the current borehole strain gauge cannot measure the seismic strain wave obliquely incident into the borehole, so that the seismic strain wave of the three-dimensional strain field cannot be accurately measured.
Disclosure of Invention
Based on the problems existing in the prior art, the invention aims to provide a component type borehole strain gauge for measuring seismic strain waves and a measuring method thereof, which can solve the problems that the existing borehole strain gauge cannot measure seismic strain waves obliquely incident into a borehole and cannot accurately measure the seismic strain waves of a three-dimensional strain field.
The invention aims at realizing the following technical scheme:
the embodiment of the invention provides a component type borehole strain gauge for measuring seismic strain waves, which comprises the following components:
the system comprises a strain gauge host, a drilling probe, a first horizontal measurement laser interferometer probe, a second horizontal measurement laser interferometer probe, a third horizontal measurement laser interferometer probe, a fourth horizontal measurement laser interferometer probe, a first vertical measurement laser interferometer probe, a second vertical measurement laser interferometer probe and a vertical strain measurement laser interferometer probe; wherein,,
the drilling probe is of a cylinder structure;
the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe are arranged on the inner wall of the drilling probe cylinder structure at intervals in the circumferential direction, the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe are positioned on the same plane, and the included angle between the measuring directions of the adjacent two probes is 45 degrees in the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe;
the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe are circumferentially arranged on the inner wall of the drilling probe cylinder structure at intervals, the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe are positioned on the same plane, and an included angle between the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe is 90 degrees relative to the center of the drilling probe; the measuring directions of the first vertical measuring laser interferometer probe and the second vertical measuring laser interferometer probe are inclined downwards, and the included angle between the measuring directions and the plane where the measuring directions are positioned is 45 degrees;
the vertical strain measurement laser interferometer probe is arranged at the middle part of the inner wall of the drilling probe cylinder structure, and the measurement direction of the vertical strain measurement laser interferometer probe is parallel to the cylinder wall of the drilling probe cylinder structure;
the strain gauge host is electrically connected with the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe, the fourth horizontal measuring laser interferometer probe, the first vertical measuring laser interferometer probe, the second vertical measuring laser interferometer probe and one vertical strain measuring laser interferometer probe respectively, and can receive the relative change values of the inner diameters of the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe in the horizontal direction in the borehole; receiving relative change values of inner diameters of the first vertical measuring laser interferometer probe and the second vertical measuring laser interferometer probe in two directions in the vertical direction in the borehole; and receiving a vertical direction strain value in the borehole measured by the probe of the vertical strain measurement laser interferometer, and processing according to the received measured value of each probe to obtain the instrument strain.
The embodiment of the invention also provides a measuring method of the component type drilling strain gauge for measuring the seismic strain wave, which adopts the component type drilling strain gauge and comprises the following steps:
According to the technical scheme provided by the invention, the component type borehole strain gauge for measuring the seismic strain wave and the preparation method thereof provided by the embodiment of the invention have the beneficial effects that:
by setting on the inner wall of the drilling probe in a set mannerThe method comprises the steps of respectively setting seven laser interferometer probes, namely a first horizontal measurement laser interferometer probe, a second horizontal measurement laser interferometer probe, a third horizontal measurement laser interferometer probe, a fourth horizontal measurement laser interferometer probe, a first vertical measurement laser interferometer probe, a second vertical measurement laser interferometer probe and a vertical strain laser interferometer probe, and can simultaneously measure and obtain four horizontal direction inner diameter relative change values in a drilling hole, two vertical direction inner diameter relative change values and one vertical direction strain value, accurately obtain the machine strain of a three-dimensional strain field through azimuth matrix conversion, and ensure that incident seismic strain wave epsilon is obtained through calculation of a coupling matrix K i The component type drilling strain gauge is matched with the three-dimensional strain field, and can accurately measure the seismic strain wave of the three-dimensional strain field because a plurality of measuring laser interferometer probes can be used for measuring the seismic strain wave of any incidence.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the description of the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic plan view of a drilling probe of a component drilling strain gauge for measuring seismic strain waves provided by an embodiment of the present invention, where the drilling probe is provided with a first horizontal measurement laser interferometer probe, a second horizontal measurement laser interferometer probe, a third horizontal measurement laser interferometer probe, and a fourth horizontal measurement laser interferometer probe;
FIG. 2 is a schematic diagram of a first vertical measurement laser interferometer probe, a second vertical measurement laser interferometer probe, and a vertical strain measurement laser interferometer probe provided by an embodiment of the present invention for a drilling probe of a component type drilling strain gauge for measuring seismic strain waves;
FIG. 3 is a flow chart of a method for measuring a component borehole strain gauge for measuring seismic strain waves according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of a measurement principle of a component borehole strain gauge for measuring seismic strain wave according to an embodiment of the present invention;
in fig. 1 and 2: 1-a drilling probe; 2-a first horizontal measurement laser interferometer probe; 3-a second horizontal measurement laser interferometer probe; 4-a third horizontal measuring laser interferometer probe; 5-fourth horizontal measuring laser interferometer probe; 6-a first vertical measurement laser interferometer probe; 7-a second vertical measurement laser interferometer probe; 8-a vertical strain measurement laser interferometer probe;
in fig. 3: 31-drilling holes; 32-expansive cement; 33-a probe sleeve; 34—propagation direction of incident plane wave; 35-oblique plane; 36-polarization direction of incident plane S wave; 37-vertical plane; 38-a horizontal plane; a, drilling surrounding rock; b-scatter wavefields.
Detailed Description
The following description of the embodiments of the present invention will clearly and fully describe the technical solutions of the embodiments of the present invention in conjunction with the specific contents of the present invention, and it is apparent that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to fall within the scope of the invention. What is not described in detail in the embodiments of the present invention belongs to the prior art known to those skilled in the art.
As shown in fig. 1 and 2, an embodiment of the present invention provides a component borehole strain gauge for measuring seismic strain waves, including:
the system comprises a strain gauge host, a drilling probe, a first horizontal measurement laser interferometer probe, a second horizontal measurement laser interferometer probe, a third horizontal measurement laser interferometer probe, a fourth horizontal measurement laser interferometer probe, a first vertical measurement laser interferometer probe, a second vertical measurement laser interferometer probe and a vertical strain measurement laser interferometer probe; wherein,,
the drilling probe is of a cylinder structure;
the first, second, third and fourth horizontal measuring laser interferometer probes are circumferentially arranged on the inner wall of the drilling probe cylinder structure at intervals, the first, second, third and fourth horizontal measuring laser interferometer probes are positioned on the same plane, and the first, second, third and fourth horizontal measuring laser interferometer probes are 45 degrees (see angle a in fig. 1);
the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe are circumferentially arranged on the inner wall of the drilling probe cylinder structure at intervals, the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe are positioned on the same plane, and an included angle between the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe is 90 degrees relative to the center of the drilling probe; the measuring directions of the first vertical measuring laser interferometer probe and the second vertical measuring laser interferometer probe are inclined downwards, and the included angle between the measuring directions and the plane where the measuring directions are located is 45 degrees (see an angle b in fig. 2);
the vertical strain measurement laser interferometer probe is arranged at the middle part of the inner wall of the drilling probe cylinder structure, and the measurement direction of the vertical strain measurement laser interferometer probe is parallel to the cylinder wall of the drilling probe cylinder structure (see figure 2);
the strain gauge host is electrically connected with the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe, the fourth horizontal measuring laser interferometer probe, the first vertical measuring laser interferometer probe, the second vertical measuring laser interferometer probe and one vertical strain measuring laser interferometer probe respectively, and can receive the relative change values of the inner diameters of the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe in the horizontal direction in the borehole; receiving relative change values of inner diameters of the first vertical measuring laser interferometer probe and the second vertical measuring laser interferometer probe in two directions in the vertical direction in the borehole; and receiving a vertical direction strain value in the borehole measured by the probe of the vertical strain measurement laser interferometer, and processing according to the received measured value of each probe to obtain the instrument strain.
Referring to fig. 1, in the above-mentioned borehole strain gauge, the first horizontal measurement laser interferometer probe, the second horizontal measurement laser interferometer probe, the third horizontal measurement laser interferometer probe, and the fourth horizontal measurement laser interferometer probe are respectively disposed on a semicircular cylinder wall at one side of the borehole probe at intervals. Preferably, the planes of the first, second, third and fourth horizontal measurement laser interferometer probes are different from the planes of the first and second vertical measurement laser interferometer probes.
In the drilling strain gauge, the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe, the fourth horizontal measuring laser interferometer probe, the first vertical measuring laser interferometer probe, the second vertical measuring laser interferometer probe and the one vertical strain measuring laser interferometer probe are all picometer laser interferometer probes.
As shown in fig. 3, the embodiment of the present invention further provides a measurement method for measuring a component borehole strain gauge of a seismic strain wave, using the component borehole strain gauge, including the following steps:
In step 1 of the measuring method, the relative change value U of the inner diameters of the four directions in the horizontal direction in the drilling hole is measured r (θ j ) The method comprises the following steps:
the relative change value of the inner diameter in the two vertical directions is as follows:
the strain value in one vertical direction is as follows:
in the step 2, the strain epsilon of the instrument is converted by an azimuth matrix I The method specifically comprises the following steps: e=o epsilon I (4)；
In the above-mentioned formula (4),
e＝[U r (θ 1 )U r (θ 2 )U r (θ 3 )U r (θ 4 )U zr (θ 5 ,z 1 )U zr (θ 6 ,z 1 )U z (θ 7 ,z 0 )] T ；
in the step 3, according to the obtained instrument strain epsilon I The incident seismic strain wave epsilon is obtained through calculation of a coupling matrix K i The method specifically comprises the following steps: epsilon I ＝Kε i (5)；
In the above-mentioned (5), the above-mentioned,
the coupling matrix K is related to the poisson's ratio v of the rock, which is:
κ 2 ＝2(1-ν)/(1-2ν)；
representing calculated incident strain wave epsilon by amplitude and azimuth angle of incident wave i For incident seismic strain P-waves
Incident strain wave epsilon i The method comprises the following steps:
for incident seismic strain S-waves
Incident strain wave epsilon i The method comprises the following steps:
according to the invention, seven laser interferometer probes are arranged in the drilling probe, so that the relative change value of the inner diameters of the four directions in the horizontal direction in the drilling can be respectively measured, the relative change value of the inner diameters of the two directions in the vertical direction can be measured, and the strain value in one direction in the vertical direction can be further sequentially converted through azimuth matrix and calculated through the coupling matrix K to obtain incident seismic strain wave epsilon i As any incident seismic strain wave can be measured, the component type borehole strain gauge can accurately measure the seismic strain wave of the three-dimensional strain field.
Embodiments of the present invention are described in detail below.
As shown in figures 1 and 2, the component type drilling strain gauge for measuring the seismic strain wave of the invention can simultaneously measure and obtain four relative change values of inner diameters in four directions in a drilling hole, and the relative change value of the inner diameters in two directions in the vertical direction and one direction strain value in one direction in the vertical direction, so that the machine strain of a three-dimensional strain field can be accurately obtained through azimuth matrix conversion, and the incident seismic strain wave epsilon matched with the three-dimensional strain field can be obtained through coupling matrix K calculation i The plurality of arranged laser interferometer probes can measure any incident seismic strain wave, so that the component type borehole strain gauge can be used for accurately measuring the seismic strain wave of the three-dimensional strain field.
The measurement principle of the component borehole strain gauge is shown in fig. 4, and in fig. 4, the borehole 31 has a radius a; the coordinates of the oblique plane 35 are (0, y ', z'); the vertical plane 37 has coordinates of (r, a, z); the coordinates of the horizontal plane 38 are (x, y, z 0); the coordinates of the borehole wall A are (lambda, mu, rho). The method comprises the following steps: the radius of the seismic strain wave obliquely incident into the half space is a borehole. Wherein the z-axis is along the drilling axis, and the included angle between the propagation direction v of the incident seismic strain wave (P wave or S wave) and z is phi (phi is more than or equal to 0 and less than or equal to 180 DEG)) Establishing a rectangular coordinate system (x ', y ', z ') which is the same as the rectangular coordinate system (x, y, z) along the propagation direction v of the incident seismic strain wave (P wave or S wave), wherein the included angle between the projection of the x ' axis on the x-y plane along the propagation direction v.x ' axis and the x axis is alpha (alpha) p orα s ) The polarization direction of the S wave is along the y 'axis, and the included angle between the intersection line of the plane x' -z and the plane y '-z' is delta. Due to the presence of the borehole, two scattered wavefields are generated at the borehole perimeter. Multiple sensors (i.e., multiple laser interferometer probes) within the borehole probe will record changes in the inside diameter or length direction of the probe caused by incident and scattered seismic strain waves.
The relative change values of the inner diameters in the four directions in the horizontal direction are as follows:
the relative change value of the inner diameter in the two vertical directions is as follows:
the strain value in one vertical direction is as follows:
sensor response in the borehole probe can be converted into instrument strain epsilon through azimuth matrix I I.e. e=o epsilon I Wherein, the method comprises the steps of, wherein,
e＝[U r (θ 1 )U r (θ 2 )U r (θ 3 )U r (θ 4 )U zr (θ 5 ,z 1 )U zr (θ 6 ,z 1 )U z (θ 7 ,z 0 )] T ；
based on the resulting instrument strain ε I The incident seismic strain wave epsilon is obtained through calculation of a coupling matrix K i I.e. epsilon I ＝Kε i Wherein, the method comprises the steps of, wherein,
κ 2 ＝2(1-ν)/(1-2ν)。
the incident strain wave ε calculated above i Can be expressed by the amplitude and azimuth angle of the incident wave, specifically: for incident seismic strain P-waves
Incident strain wave epsilon i The method comprises the following steps:
for incident S-waves
Incident strain wave epsilon i The method comprises the following steps:
according to the component type drilling strain gauge, as the seven laser interferometer probes for measuring the inner diameter change values of the drilling probes in different directions are arranged in the drilling probes, the inner diameter relative change values of the drilling probes in four directions in the horizontal direction and the inner diameter relative change values of the drilling probes in one direction in the vertical direction and the strain value of the drilling probes in one direction in the vertical direction can be respectively measured, so that any incident seismic strain wave can be measured, and the accurate measurement of the seismic strain wave of the three-dimensional strain field is realized.
The foregoing is only a preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions easily contemplated by those skilled in the art within the scope of the present invention should be included in the scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.
Claims (4)
1. A component borehole strain gauge for measuring seismic strain waves, comprising:
the system comprises a strain gauge host, a drilling probe, a first horizontal measurement laser interferometer probe, a second horizontal measurement laser interferometer probe, a third horizontal measurement laser interferometer probe, a fourth horizontal measurement laser interferometer probe, a first vertical measurement laser interferometer probe, a second vertical measurement laser interferometer probe and a vertical strain measurement laser interferometer probe; wherein,,
the drilling probe is of a cylinder structure;
the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe are arranged on the inner wall of the drilling probe cylinder structure at intervals in the circumferential direction, the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe are positioned on the same plane, and the included angle between the measuring directions of the adjacent two probes is 45 degrees in the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe;
the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe are circumferentially arranged on the inner wall of the drilling probe cylinder structure at intervals, the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe are positioned on the same plane, and an included angle between the first vertical measurement laser interferometer probe and the second vertical measurement laser interferometer probe is 90 degrees relative to the center of the drilling probe; the measuring directions of the first vertical measuring laser interferometer probe and the second vertical measuring laser interferometer probe are inclined downwards, and the included angle between the measuring directions and the plane where the measuring directions are positioned is 45 degrees;
the vertical strain measurement laser interferometer probe is arranged at the middle part of the inner wall of the drilling probe cylinder structure, and the measurement direction of the vertical strain measurement laser interferometer probe is parallel to the cylinder wall of the drilling probe cylinder structure;
the strain gauge host is electrically connected with the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe, the fourth horizontal measuring laser interferometer probe, the first vertical measuring laser interferometer probe, the second vertical measuring laser interferometer probe and one vertical strain measuring laser interferometer probe respectively, and can receive the relative change values of the inner diameters of the first horizontal measuring laser interferometer probe, the second horizontal measuring laser interferometer probe, the third horizontal measuring laser interferometer probe and the fourth horizontal measuring laser interferometer probe in the horizontal direction in the borehole; receiving relative change values of inner diameters of the first vertical measuring laser interferometer probe and the second vertical measuring laser interferometer probe in two directions in the vertical direction in the borehole; and receiving a vertical direction strain value in the borehole measured by the probe of the vertical strain measurement laser interferometer, and processing according to the received measured value of each probe to obtain the instrument strain.
2. The component borehole strain gauge for measuring seismic strain wave of claim 1 where the first, second, third, fourth, first, second, and one vertical strain measurement laser interferometer probe each employ a picometer laser interferometer probe.
3. A method of measuring a component borehole strain gauge for measuring seismic strain waves, characterized by using a component borehole strain gauge as claimed in claim 1 or 2, comprising the steps of:
step 1, respectively measuring and obtaining four inner diameter relative change values in the horizontal direction in a drill hole, two inner diameter relative change values in the vertical direction and one strain value in the vertical direction by using a first horizontal measuring laser interferometer probe, a second horizontal measuring laser interferometer probe, a third horizontal measuring laser interferometer probe, a fourth horizontal measuring laser interferometer probe, a first vertical measuring laser interferometer probe, a second vertical measuring laser interferometer probe and one vertical strain measuring laser interferometer probe which are arranged in the drilling probe of the component type drilling strain gauge;
step 2, transmitting the four inner diameter relative change values in the horizontal direction and the two inner diameter relative change values in the vertical direction in the drill hole obtained by measuring in the step 1 to a strain gauge host of the component drill hole strain gauge for processing, and converting the strain into instrument strain epsilon through an azimuth matrix I ；
Step 3, according to the instrument strain epsilon obtained in the step 2 I The incident seismic strain wave epsilon is obtained through calculation of a coupling matrix K i 。
4. A method for measuring a component borehole strain gauge for measuring a seismic strain wave as recited in claim 3 wherein, in method step 1,
measuring to obtain the horizontal direction in the boreholeRelative change value U of inner diameter in four directions r (θ j ) The method comprises the following steps:
the relative change value of the inner diameter in the two vertical directions is as follows:
the strain value in one vertical direction is as follows:
in the step 2, the strain epsilon of the instrument is converted by an azimuth matrix I The method specifically comprises the following steps: e=o epsilon I (4)；
In the above-mentioned formula (4),
e＝[U r (θ 1 ) U r (θ 2 ) U r (θ 3 ) U r (θ 4 ) U zr (θ 5 ,z 1 ) U zr (θ 6 ,z 1 ) U z (θ 7 ,z 0 )] T ；
in the step 3, according to the obtained instrument strain epsilon I The incident seismic strain wave epsilon is obtained through calculation of a coupling matrix K i The method specifically comprises the following steps: epsilon I ＝Kε i (5)；
In the above-mentioned (5), the above-mentioned,
the coupling matrix K is related to the poisson's ratio v of the rock, which is:
κ 2 ＝2(1-ν)/(1-2ν)；
representing calculated incident strain wave epsilon by amplitude and azimuth angle of incident wave i For incident seismic strain P-waves
Incident strain wave epsilon i The method comprises the following steps:
for incident seismic strain S-waves
Incident strain wave epsilon i The method comprises the following steps:
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| US10241229B2 (en) * | 2013-02-01 | 2019-03-26 | Halliburton Energy Services, Inc. | Distributed feedback fiber laser strain sensor systems and methods for subsurface EM field monitoring |
| CN103712552B (en) * | 2014-01-02 | 2016-08-17 | 吴书贵 | Multi-components drilling strain gauge |
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| CN106501853B (en) * | 2016-10-24 | 2019-05-24 | 中国地质大学（北京） | Either direction plane of incidence bulk wave excitation method in side slope seismic response numerical simulation |
| PL240132B1 (en) * | 2017-04-28 | 2022-02-21 | Inphotech Spolka Z Ograniczona Odpowiedzialnoscia | Method for measuring vibrations, preferably seismic vibrations and the device for measuring vibrations, preferably seismic vibrations |
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| CN108549104B (en) * | 2018-04-10 | 2020-05-29 | 江南大学 | Layered field seismic wave oblique incidence fluctuation analysis method |
| CN111366988B (en) * | 2020-04-14 | 2024-06-28 | 应急管理部国家自然灾害防治研究院 | Six-degree-of-freedom controlled component type drilling strain gauge complete machine detection platform |
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