CN114459537A - Monitoring system and monitoring method for geotechnical structure of landfill - Google Patents

Monitoring system and monitoring method for geotechnical structure of landfill Download PDF

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CN114459537A
CN114459537A CN202210042067.6A CN202210042067A CN114459537A CN 114459537 A CN114459537 A CN 114459537A CN 202210042067 A CN202210042067 A CN 202210042067A CN 114459537 A CN114459537 A CN 114459537A
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displacement
measuring point
formula
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point
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CN114459537B (en
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万勇
陈之祥
薛强
何星星
罗睿
于化月
刘磊
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Wuhan Institute of Rock and Soil Mechanics of CAS
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Wuhan Institute of Rock and Soil Mechanics of CAS
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    • G01MEASURING; TESTING
    • G01DMEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
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Abstract

The invention provides a monitoring system for a landfill geotechnical structure, which comprises a three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph combined tester, a matrix suction tester, a signal conversion module, a concentrator and a signal transmission module. Meanwhile, an application method for analyzing the displacement and the geotechnical parameters of the filling geotechnical structure is provided. The invention has the effects that the three-dimensional stress state, the three-dimensional effective stress state, the three-dimensional displacement and strain state, the temperature, the water content, the conductivity and the Ph value of the measuring point position of the geotechnical structure of the landfill can be completely determined by adopting three testing instruments, and the numerical values for stability analysis, transient deformation analysis, accumulative deformation analysis and temperature field and water field analysis of the geotechnical structure of the landfill can be provided based on the testing values of different measuring points, thereby providing convenience for safety evaluation of the geotechnical structure of the landfill.

Description

Monitoring system and monitoring method for geotechnical structure of landfill
Technical Field
The invention belongs to the technical field of environmental geotechnical engineering, and particularly relates to a monitoring system and a monitoring method for a geotechnical structure of a landfill.
Background
With the exploitation of energy and mineral resources, the production and accumulation of solid wastes such as coal gangue, tailings and fly ash are increasing day by day. The stacking of the solid wastes not only occupies a large amount of ecological and agriculture and forestry resources, but also can cause large-scale engineering disasters such as dam break of tailings, barrage lake, landslide and the like due to unreasonable stacking or the influence of external environment and load factors. The safety and stability of the porous multi-phase medium stacking structure are ensured, and the porous multi-phase medium stacking structure is not only an important scientific problem in the fields of soil mechanics and geotechnical engineering, but also a necessary condition for ensuring the safety of industrial and agricultural production and the lives and properties of people. Soil mechanics mainly analyzes two types of problems, namely a soil unit problem; and secondly, analyzing the problems of the soil body structure formed by different soil units. The latter should take into account the complex boundary conditions, influencing factors and nonlinear material properties present in the engineered structure more than the former. The existing geotechnical structure problem analysis mainly adopts three technologies: firstly, a theoretical analysis technology is adopted, and the stress and deformation characteristics of the geotechnical structure are predicted by adopting a constructed mathematical and physical equation, so that safety evaluation is further carried out; secondly, a simulation analysis technology, which adopts numerical analysis means such as finite elements or discrete elements and the like to analyze the stress and deformation characteristics of the geotechnical structure by defining material attributes and initial boundary conditions and then carries out safety evaluation; and thirdly, carrying out stress or deformation analysis on the geotechnical structure based on field test data by adopting different types of sensor technologies through field monitoring and analysis technologies. The third approach is the technology that is closest to being intelligent and capable of long-term or all-weather monitoring, compared to the first two. However, existing monitoring techniques are based on sensor values from a single direction; in the process of bearing load by the soil body, the most dangerous sliding surface and the direction of the maximum principal stress cannot be directly determined, and the sensors embedded in a certain direction can only express the mechanical behavior of the soil body in the direction and cannot represent the three-dimensional deformation characteristics of the unit (point). Therefore, the existing sensor only acquires stress or displacement in a certain direction in the three-dimensional structure, and can not reflect real three-dimensional characteristics.
That is, in the technology of mechanical analysis by using a sensor in the analysis of geotechnical structure problems, the prior art has the technical disadvantage that the obtained data is inaccurate because only the stress or displacement in a certain direction in the three-dimensional structure is obtained by the sensor and the real three-dimensional characteristics cannot be reflected;
therefore, for the technology of performing mechanical analysis by using a sensor in the process of analyzing the problem of the geotechnical structure, how to obtain the true three-dimensional characteristics by obtaining the omnibearing stress or displacement inside the three-dimensional structure through the sensor is a technical problem which needs to be solved urgently by those skilled in the art.
Disclosure of Invention
The invention provides a monitoring system for a landfill geotechnical structure, which at least solves the technical problems;
in order to solve the above problems, a first aspect of the present invention provides a monitoring system for a landfill geotechnical structure, which includes a three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph joint tester, a matrix absorption tester, a signal conversion module, a hub, a signal transmission module, and a power supply system; the signal conversion module is connected with 7 groups of micro-strain test data lines of the three-dimensional stress displacement tester, and the concentrator is respectively connected with the signal conversion module, an acceleration and axial angle data line of the three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph combined tester data line and a matrix suction tester data line; connecting the concentrator with the signal transmission module, and respectively connecting the power supply system with the power supply circuits of the signal conversion module, the concentrator and the signal transmission module; to form a single-point monitoring system; the single-measuring-point monitoring systems are respectively embedded at different positions inside the geotechnical structure body of the landfill, and signal transmission modules of all the embedded single-measuring-point monitoring systems are connected with the data acquisition center.
In a second aspect, the present invention provides a method of monitoring a landfill soil structure, the method comprising the steps of: calculating the three-dimensional displacement, main displacement and three-dimensional strain state of a single measuring point, and comprising the following steps of: calculating the space position change of a measuring point according to acceleration data acquired by a single-measuring-point monitoring system and combining a formula (1), wherein the formula (1) is as follows:
Figure BDA0003470655140000031
in the formula (1), αxiyiziAcceleration in the x direction, the y direction and the z direction acquired by the single-measuring-point monitoring system respectively; (x)i,yi,zi) The space coordinate of the single measuring point at the moment i is shown; (x)j,yj,zj) The spatial position of the single measuring point at the moment j is shown; t is the time interval from time i to time j; taking delta t as a single acquisition time interval of the acceleration sensor from the moment i to the moment j; n is the total number collected in t time; secondly, constructing a space unit body by taking the displacement of the single measuring point from the moment i to the moment j as a diagonal line, and calculating a displacement component D of the measuring point i in the k direction according to a formula (2)kThe formula (2) is:
Figure BDA0003470655140000032
in the formula (2), DkThe displacement component of the measuring point in the k direction is taken as the displacement component of the measuring point; lk、mk、nkRespectively, the direction cosine values, l, of the k direction on the constructed spatial unit bodyk、mk、nkThe calculation formulas of (A) and (B) are respectively as follows:
Figure BDA0003470655140000033
Figure BDA0003470655140000034
Figure BDA0003470655140000035
in formulae (3) to (5), lk、mk、nkRespectively is the cosine value of the k direction on the constructed space unit body;
Figure BDA0003470655140000036
to convert a vector (x)k,yk,zk) The calculation can be obtained by formula (6), and formula (6) is:
Figure BDA0003470655140000041
in the formula (6), (x)k,yk,zk) Is a unit vector terminal point coordinate after passing through an origin (0,0,0) in the k direction and rotating around the z, y and x axes; theta, eta and zeta are three Euler angles around the z, y and x axes in the p direction respectively, and p is sigma123;lp、mp、npRespectively representing the cosine values of the p direction under a field coordinate system; thirdly, calculating the displacement of the main stress direction of the measuring point according to a formula (7), wherein the formula (7) is as follows:
Figure BDA0003470655140000042
in the formula (7), D1、D2、D3Are respectively sigma1、σ2、σ3A displacement component in a direction; m is1、n1、m2、n2、m3、n3Are respectively sigma123Calculating the direction cosine value of the direction on the constructed space unit body according to formulas (3) to (6); fourthly, calculating the displacement of the measuring point i in the x, y and z directions under the field coordinates according to the formula (2) and respectively recording the displacement as Du、Dv、DwAnd calculating the three-dimensional strain state epsilon of the measuring point i by combining a formula (8)iEquation (8) is:
Figure BDA0003470655140000043
in formula (8), εiThe three-dimensional strain state of the measuring point i is obtained; 2) judging according to the relation between three-dimensional stress and three-dimensional strain stateA method of point i status, the method comprising the steps of: firstly, calculating the three-dimensional strain state epsilon of a measuring point i according to a three-dimensional stress test result and a formula (8)iAnd analyzing the relation between the stress and the strain of the measuring point i by adopting a formula (9), wherein the formula (9) is as follows:
i]=[E][εi] (9)
in the formula (9), [ epsilon ]i]Calculating the three-dimensional strain state of the obtained measuring point i for the formula (8); [ sigma ]i]The three-dimensional strain state of a measuring point i is measured by a three-dimensional stress displacement tester; [ E ]]Constitutive parameters of a point embedded in the three-dimensional stress displacement tester;
ε determined according to formula (8)x、εy、εzRespectively inquiring epsilon in indoor triaxial experiment of the same material in a test areax、εy、εzThe net stress values corresponding to the numerical values are respectively recorded as sigmatx、σty、σtzAnd recording the peak stress of the same material in the indoor triaxial test as sigmap(ii) a ③ separately comparing sigmatx、σty、σtzAnd the measured stress state [ sigma ]i]Middle sigmax、σy、σzThe value of (a) whenx≥σtxOr σy≥σtyOr σz≥σtzOr σx≥σpOr σy≥σpOr σz≥σpThen, the measuring point i reaches a destruction state;
3) a method for calculating the accumulated displacement of the geotechnical structure of a landfill site comprises the following steps: calculating the displacement of the monitoring measuring point in any direction according to a formula (2); secondly, overlapping the displacement of the same monitoring point in the same direction from the initial time to the current time and recording as Do(ii) a Thirdly, the displacements of the upper measuring point u and the lower measuring point b in the direction i are differenced to determine the net displacement D between the upper measuring point and the lower measuring point(u-b)-iI.e. D(u-b)-i=Du-i-Db-i(ii) a Judging that the three-dimensional stress displacement tester enters a seismic action state when the acceleration of the three-dimensional stress displacement tester reaches 100 multiplied by 10 mm/s; when DoIs greater thanHeight of slope S times or D(u-b)-iWhen the distance between the upper measuring point u and the lower measuring point b is larger than S times, the area between the upper measuring point u and the lower measuring point b is judged to be damaged; s is 6 to 15 percent under normal working conditions; s takes 5% when earthquake acts.
Has the advantages that: the invention provides a monitoring system for a landfill geotechnical structure, which can completely determine the three-dimensional stress state, the three-dimensional effective stress state, the three-dimensional displacement state, the temperature, the water content, the conductivity and the Ph value of a site position of the landfill geotechnical structure by adopting three testing instruments, can provide values for stability analysis, transient deformation analysis, accumulative deformation analysis, temperature field and water field analysis of the landfill geotechnical structure based on the testing values of different sites, and provides convenience for safety evaluation of the landfill geotechnical structure.
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In order to more clearly illustrate the embodiments of the present disclosure or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present disclosure, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic view of a monitoring system for a landfill geotechnical structure of the present invention;
FIG. 2 is a schematic diagram of the calculation of three-dimensional displacement of a single measuring point according to the present invention.
Detailed Description
The technical solutions in the present invention will be described clearly and completely with reference to the accompanying drawings, and it is obvious that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments that can be derived by one of ordinary skill in the art from the embodiments given herein are intended to be within the scope of the present invention.
Meanwhile, in the embodiments of the present description, when an element is referred to as being "fixed to" another element, it may be directly on the other element or intervening elements may also be present. When a component is referred to as being "connected" to another component, it can be directly connected to the other component or intervening components may also be present. When a component is referred to as being "disposed on" another component, it can be directly on the other component or intervening components may also be present. The terms "vertical", "horizontal", "left", "right" and the like used in the embodiments of the present specification are for illustrative purposes only and are not intended to limit the present invention.
The first embodiment is as follows:
as shown in fig. 1-2, the first embodiment provides a monitoring system for a landfill geotechnical structure and the principle of the implementation method thereof according to the present invention: a monitoring system for the earth structure of the landfill is constructed in an integrated mode after signal conversion; the displacement of the measuring point is calculated through acceleration, the three-dimensional displacement state of the measuring point is determined through a displacement decomposition mode, and the maximum displacement generating direction in the space is given through a main displacement solving means.
Specifically, the monitoring system comprises a three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph combined tester, a matrix suction tester, a signal conversion module, a concentrator, a signal transmission module and a power supply system; connecting a signal conversion module with 7 groups of micro-strain test data lines of a three-dimensional stress displacement tester, and respectively connecting a concentrator with the signal conversion module, an acceleration and axial angle data line of the three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph combined tester data line and a matrix suction tester data line; connecting the concentrator with the signal transmission module, and respectively connecting the power supply system with the power supply circuits of the signal conversion module, the concentrator and the signal transmission module; thus forming a single-measuring-point monitoring system; the single-measuring-point monitoring systems are respectively embedded at different positions inside the geotechnical structure body of the landfill, and the signal transmission modules of all the embedded single-measuring-point monitoring systems are connected with the data acquisition center, so that the monitoring system for the geotechnical structure of the landfill is formed.
In the technical scheme of the first embodiment, by using the monitoring system for the geotechnical structure of the landfill, the three-dimensional stress state, the three-dimensional effective stress state, the three-dimensional displacement state, the temperature, the water content, the conductivity and the Ph value of the measuring point position of the geotechnical structure of the landfill can be completely determined by using three testing instruments, and values for stability analysis, transient deformation analysis, accumulative deformation analysis, temperature field and water field analysis of the geotechnical structure of the landfill can be provided based on the testing values of different measuring points, so that convenience is provided for safety evaluation of the geotechnical structure of the landfill.
Example two:
the second embodiment provides an implementation method of a monitoring system for a geotechnical structure of a landfill, as shown in fig. 2, the method includes the following aspects:
1) calculating the three-dimensional displacement, main displacement and three-dimensional strain state of a single measuring point, and comprising the following steps of:
calculating the space position change of a measuring point according to acceleration data acquired by a single-measuring-point monitoring system and combining a formula (1), wherein the formula (1) is as follows:
Figure BDA0003470655140000081
in the formula (1), αxiyiziAcceleration in the x direction, the y direction and the z direction acquired by the single-measuring-point monitoring system respectively; (x)i,yi,zi) The space coordinate of the single measuring point at the moment i is shown; (x)j,yj,zj) The spatial position of the single measuring point at the moment j is shown; t is the time interval from time i to time j; taking delta t as a single acquisition time interval of the acceleration sensor from the moment i to the moment j; n is the total number collected in t time;
secondly, constructing a space unit body by taking the displacement of the single measuring point from the moment i to the moment j as a diagonal line, and calculating a displacement component D of the measuring point i in the k direction according to a formula (2)kThe formula (2) is:
Figure BDA0003470655140000082
in the formula (2), DkIs the displacement component of the measuring point in the k directionAn amount; lk、mk、nkRespectively, the direction cosine values, l, of the k direction on the constructed spatial unit bodyk、mk、nkThe calculation formulas of (A) and (B) are respectively as follows:
Figure BDA0003470655140000083
Figure BDA0003470655140000084
Figure BDA0003470655140000085
in formulae (3) to (5), lk、mk、nkRespectively is the cosine value of the k direction on the constructed space unit body;
Figure BDA0003470655140000086
to convert a vector (x)k,yk,zk) The calculation can be obtained by formula (6), and formula (6) is:
Figure BDA0003470655140000091
in the formula (6), (x)k,yk,zk) Is a unit vector terminal point coordinate after passing through an origin (0,0,0) in the k direction and rotating around the z, y and x axes; theta, eta and zeta are three Euler angles around the z, y and x axes in the p direction respectively, and p is sigma123;lp、mp、npRespectively representing the cosine values of the p direction under a field coordinate system;
thirdly, calculating the displacement of the main stress direction of the measuring point according to a formula (7), wherein the formula (7) is as follows:
Figure BDA0003470655140000092
in the formula (7), D1、D2、D3Are respectively sigma1、σ2、σ3A displacement component in a direction; m is1、n1、m2、n2、m3、n3Are respectively sigma123Calculating the direction cosine value of the direction on the constructed space unit body according to formulas (3) to (6);
fourthly, calculating the displacement of the measuring point i in the x, y and z directions under the field coordinates according to the formula (2) and respectively recording the displacement as Du、Dv、DwAnd calculating the three-dimensional strain state epsilon of the measuring point i by combining a formula (8)iEquation (8) is:
Figure BDA0003470655140000093
in formula (8), εiThe three-dimensional strain state of the measuring point i is obtained;
2) a method for judging the state of a point i according to the relation between three-dimensional stress and three-dimensional strain state comprises the following steps:
firstly, calculating the three-dimensional strain state epsilon of a measuring point i according to a three-dimensional stress test result and a formula (8)iAnd analyzing the relation between the stress and the strain of the measuring point i by adopting a formula (9), wherein the formula (9) is as follows:
i]=[E][εi] (9)
in the formula (9), [ epsilon ]i]Calculating the three-dimensional strain state of the obtained measuring point i for the formula (8); [ sigma ]i]The three-dimensional strain state of a measuring point i is measured by a three-dimensional stress displacement tester; [ E ]]Constitutive parameters of a point embedded in the three-dimensional stress displacement tester;
ε determined according to formula (8)x、εy、εzRespectively inquiring epsilon in indoor triaxial experiment of the same material in a test areax、εy、εzThe net stress values corresponding to the numerical values are respectively recorded as sigmatx、σty、σtzAnd the peak of the same material in the indoor triaxial experiment is measuredThe value stress is denoted as σp
③ separately comparing sigmatx、σty、σtzAnd the measured stress state [ sigma ]i]Middle sigmax、σy、σzThe value of (a) whenx≥σtxOr σy≥σtyOr σz≥σtzOr σx≥σpOr σy≥σpOr σz≥σpThen, the measuring point i reaches a destruction state;
3) a method for calculating the accumulated displacement of the geotechnical structure of a landfill site comprises the following steps:
calculating the displacement of the monitoring measuring point in any direction according to a formula (2);
secondly, overlapping the displacement of the same monitoring point in the same direction from the initial time to the current time and recording as Do
Thirdly, the displacements of the upper measuring point u and the lower measuring point b in the direction i are differenced to determine the net displacement D between the upper measuring point and the lower measuring point(u-b)-iI.e. D(u-b)-i=Du-i-Db-i
Judging that the three-dimensional stress displacement tester enters a seismic action state when the acceleration of the three-dimensional stress displacement tester reaches 100 multiplied by 10 mm/s;
when DoHeight of slope greater than S times or D(u-b)-iWhen the distance between the upper measuring point u and the lower measuring point b is larger than S times, the area between the upper measuring point u and the lower measuring point b is judged to be damaged; s is 6 to 15 percent under normal working conditions; s takes 5% when earthquake acts.
For the second embodiment, the invention provides a method for calculating the three-dimensional displacement, the main displacement and the three-dimensional strain state of the measuring point; a method capable of simultaneously determining a three-dimensional stress state and a three-dimensional strain state is provided; a method for judging the state of the measuring point based on the three-dimensional stress and three-dimensional strain relation is provided; the method for calculating the constitutive parameters based on the three-dimensional stress and three-dimensional strain relationship is provided, and the technical problems that values for stability analysis, transient deformation analysis, accumulative deformation analysis, temperature field and moisture field analysis of the landfill geotechnical structure can be provided based on the test values of different measuring points, and convenience is provided for safety evaluation of the landfill geotechnical structure are solved.
Since the second embodiment and the first embodiment are an embodiment with the same inventive concept, and part of the structure is completely the same, the structure of the second embodiment that is substantially the same as that of the first embodiment will not be described in detail, and the detailed description will not be referred to the first embodiment.
Finally, it should be noted that: although the present invention has been described in detail with reference to the foregoing embodiments, it should be understood by those skilled in the art that the following descriptions are only illustrative and not restrictive, and that: any person skilled in the art can modify or easily conceive the technical solutions described in the foregoing embodiments or equivalent substitutes for some technical features within the technical scope of the present disclosure; such modifications, changes or substitutions do not depart from the spirit and scope of the embodiments of the present invention. Are intended to be covered by the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
While embodiments of the invention have been described above, it is not limited to the applications set forth in the description and the embodiments, which are fully applicable in various fields of endeavor to which the invention pertains, and further modifications may readily be made by those skilled in the art, it being understood that the invention is not limited to the details shown and described herein without departing from the general concept defined by the appended claims and their equivalents.

Claims (2)

1. A monitoring system for a landfill geotechnical structure, the monitoring system comprising:
the device comprises a three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph combined tester, a matrix suction tester, a signal conversion module, a concentrator, a signal transmission module and a power supply system;
the signal conversion module is connected with 7 groups of micro-strain test data lines of the three-dimensional stress displacement tester, and the concentrator is correspondingly connected with the signal conversion module, acceleration and axial angle data lines of the three-dimensional stress displacement tester, a temperature, moisture and conductivity Ph combined tester data line and a matrix suction tester data line;
the concentrator is connected with the signal transmission module;
the power supply system is respectively connected with the power supply lines of the signal conversion module, the concentrator and the signal transmission module;
the single-measuring-point monitoring systems are respectively embedded at different positions inside the earth structure body of the landfill, and signal transmission modules of all the embedded single-measuring-point monitoring systems are connected with the data acquisition center.
2. A method of monitoring a geotechnical structure of a landfill, comprising the steps of:
calculating the three-dimensional displacement, main displacement and three-dimensional strain state of a single measuring point, and comprising the following steps of:
calculating the space position change of a measuring point according to acceleration data acquired by a single-measuring-point monitoring system and combining a formula (1), wherein the formula (1) is as follows:
Figure FDA0003470655130000011
in the formula (1), αxiyiziAcceleration in the x direction, the y direction and the z direction acquired by the single-measuring-point monitoring system respectively; (x)i,yi,zi) The space coordinate of the single measuring point at the moment i is shown; (x)j,yj,zj) The spatial position of the single measuring point at the moment j is shown; t is the time interval from time i to time j; taking delta t as a single acquisition time interval of the acceleration sensor from the moment i to the moment j; n is the total number collected in t time;
secondly, constructing a space unit body by taking the displacement of the single measuring point from the moment i to the moment j as a diagonal line, and calculating the displacement of the measuring point i in the k direction according to a formula (2)Component of displacement DkThe formula (2) is:
Figure FDA0003470655130000021
in the formula (2), DkThe displacement component of the measuring point in the k direction is taken as the displacement component of the measuring point; l. thek、mk、nkRespectively, the direction cosine values, l, of the k direction on the constructed spatial unit bodyk、mk、nkThe calculation formulas of (A) and (B) are respectively as follows:
Figure FDA0003470655130000022
Figure FDA0003470655130000023
Figure FDA0003470655130000024
in formulae (3) to (5), lk、mk、nkRespectively is the cosine value of the k direction on the constructed space unit body;
Figure FDA0003470655130000025
to convert a vector (x)k,yk,zk) The calculation can be obtained by formula (6), and formula (6) is:
Figure FDA0003470655130000026
in the formula (6), (x)k,yk,zk) Is a unit vector terminal point coordinate after passing through an origin (0,0,0) in the k direction and rotating around the z, y and x axes; theta, eta and zeta are three Euler angles around the z, y and x axes in the p direction respectively, and p is sigma123;lp、mp、npRespectively representing the cosine values of the p direction under a field coordinate system;
thirdly, calculating the displacement of the main stress direction of the measuring point according to a formula (7), wherein the formula (7) is as follows:
Figure FDA0003470655130000031
in the formula (7), D1、D2、D3Are respectively sigma1、σ2、σ3A displacement component in a direction; m is1、n1、m2、n2、m3、n3Are respectively sigma123Calculating the direction cosine value of the direction on the constructed space unit body according to formulas (3) to (6);
fourthly, calculating the displacement of the measuring point i in the x, y and z directions under the field coordinates according to the formula (2) and respectively recording the displacement as Du、Dv、DwAnd calculating the three-dimensional strain state epsilon of the measuring point i by combining a formula (8)iEquation (8) is:
Figure FDA0003470655130000032
in formula (8), εiThe three-dimensional strain state of the measuring point i is obtained;
2) a method for judging the state of a point i according to the relation between three-dimensional stress and three-dimensional strain state comprises the following steps:
firstly, calculating the three-dimensional strain state epsilon of a measuring point i according to a three-dimensional stress test result and a formula (8)iAnd analyzing the relation between the stress and the strain of the measuring point i by adopting a formula (9), wherein the formula (9) is as follows:
i]=[E][εi] (9)
in the formula (9), [ epsilon ]i]Calculating the three-dimensional strain state of the obtained measuring point i for the formula (8); [ sigma ]i]Three-dimensional strain shape of test point i measured by three-dimensional stress displacement testerState; [ E ]]Constitutive parameters of a point embedded in the three-dimensional stress displacement tester;
ε determined according to formula (8)x、εy、εzRespectively inquiring epsilon in indoor triaxial experiment of the same material in a test areax、εy、εzThe net stress values corresponding to the numerical values are respectively recorded as sigmatx、σty、σtzAnd recording the peak stress of the same material in the indoor triaxial test as sigmap
③ separately comparing sigmatx、σty、σtzAnd the measured stress state [ sigma ]i]Middle sigmax、σy、σzThe value of (a) whenx≥σtxOr σy≥σtyOr σz≥σtzOr σx≥σpOr σy≥σpOr σz≥σpThen, the measuring point i reaches a destruction state;
3) a method for calculating the accumulated displacement of the geotechnical structure of a landfill site comprises the following steps:
calculating the displacement of the monitoring measuring point in any direction according to a formula (2);
secondly, overlapping the displacement of the same monitoring point in the same direction from the initial time to the current time and recording as Do
Thirdly, the displacements of the upper measuring point u and the lower measuring point b in the direction i are differenced to determine the net displacement D between the upper measuring point and the lower measuring point(u-b)-iI.e. D(u-b)-i=Du-i-Db-i
Judging that the three-dimensional stress displacement tester enters a seismic action state when the acceleration of the three-dimensional stress displacement tester reaches 100 multiplied by 10 mm/s;
when DoHeight of slope greater than S times or D(u-b)-iWhen the distance between the upper measuring point u and the lower measuring point b is larger than S times, the area between the upper measuring point u and the lower measuring point b is judged to be damaged; s is 6 to 15 percent under normal working conditions; s takes 5% when earthquake acts.
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