CN116498391B - Comprehensive early warning and auxiliary decision making method for surrounding rock disasters of underground space - Google Patents
Comprehensive early warning and auxiliary decision making method for surrounding rock disasters of underground space Download PDFInfo
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- CN116498391B CN116498391B CN202310778679.6A CN202310778679A CN116498391B CN 116498391 B CN116498391 B CN 116498391B CN 202310778679 A CN202310778679 A CN 202310778679A CN 116498391 B CN116498391 B CN 116498391B
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- 238000000034 method Methods 0.000 title claims abstract description 38
- 239000011435 rock Substances 0.000 title claims abstract description 33
- 238000006073 displacement reaction Methods 0.000 claims abstract description 52
- 238000013507 mapping Methods 0.000 claims abstract description 28
- 238000012544 monitoring process Methods 0.000 claims abstract description 18
- 230000006835 compression Effects 0.000 claims abstract description 13
- 238000007906 compression Methods 0.000 claims abstract description 13
- 238000002474 experimental method Methods 0.000 claims abstract description 4
- 230000009466 transformation Effects 0.000 claims abstract description 4
- 230000008569 process Effects 0.000 claims description 11
- 238000005336 cracking Methods 0.000 claims description 5
- 230000004044 response Effects 0.000 claims description 3
- 239000000126 substance Substances 0.000 claims description 3
- 230000006378 damage Effects 0.000 claims description 2
- 238000009412 basement excavation Methods 0.000 description 8
- 238000004364 calculation method Methods 0.000 description 3
- 238000010276 construction Methods 0.000 description 3
- 238000012986 modification Methods 0.000 description 3
- 230000004048 modification Effects 0.000 description 3
- 206010057175 Mass conditions Diseases 0.000 description 2
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21F—SAFETY DEVICES, TRANSPORT, FILLING-UP, RESCUE, VENTILATION, OR DRAINING IN OR OF MINES OR TUNNELS
- E21F17/00—Methods or devices for use in mines or tunnels, not covered elsewhere
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- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/02—Details not specific for a particular testing method
- G01N2203/025—Geometry of the test
- G01N2203/0252—Monoaxial, i.e. the forces being applied along a single axis of the specimen
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Abstract
The invention discloses a comprehensive early warning and auxiliary decision-making method for surrounding rock disasters in an underground space, which belongs to the field of underground cavern disaster early warning, and comprises the following steps: obtaining a plurality of boundary points of the cavity; mapping the boundary points to a unit circle to obtain a mapping function formula; calculating stress and displacement of each monitoring point on the boundary of the cavity based on a mapping function formula, wherein the monitoring points are arrangement points of a multipoint displacement meter; carrying out a uniaxial compression experiment on the rock sample at the monitoring point to obtain a uniaxial compression stress strain characteristic curve, calculating a linear relation between stress and displacement by using a complex transformation function, and obtaining a characteristic displacement corresponding to each characteristic stress based on the linear relation between stress and displacement; and establishing a deformation early warning grading system based on the rock uniaxial compression curve according to the characteristic displacement. The invention can rapidly and accurately pre-warn the surrounding rock safety.
Description
Technical Field
The invention belongs to the field of underground cavern disaster early warning, and particularly relates to an underground space surrounding rock disaster comprehensive early warning and auxiliary decision making method.
Background
The underground cavern is a complex underground structure built in a natural geologic body, so that the stability of surrounding rock is influenced by various unknown factors such as ground stress, rock mechanical properties and the like in the construction process, and the calculation and analysis results are greatly different from the actual results; along with the continuous progress of engineering technology, the single-hole section of the underground cavity is larger and larger in size, the excavation boundary is more and more complex, rock mass deformation instability near an excavation surface can be induced due to excavation unloading, local stress concentration and repeated stress adjustment, ledge and fracture are generated, and excessive deformation or deformation non-convergence phenomena such as relaxation collapse and the like can be generated when serious. These uncertainty factors and deformation instability can lead to a number of safety hazards during construction. Under the high ground stress environment, the reaction time of the hard rock disaster is short, the frequency is high, the consequences are serious and the early warning difficulty is high, so that the surrounding rock safety is early warned rapidly and accurately according to the real-time displacement monitoring information, a relatively reasonable deformation grading early warning system and an auxiliary decision making system are established, and the safety and success of the grotto construction are directly related.
The prior art discloses a determination method (patent publication number: CN 110847969B) suitable for rock mass condition underground cavern group deformation grading early warning indexes, but the method cannot obtain grading early warning indexes of a certain monitoring point in a targeted manner, can only obtain grading early warning indexes under the same lithology and rock mass condition, cannot obtain grading early warning indexes quickly, and needs excavation supporting simulation.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a comprehensive early warning and auxiliary decision making method for surrounding rock disasters of an underground space.
The aim of the invention is realized by the following technical scheme: a comprehensive early warning and auxiliary decision making method for surrounding rock disasters of an underground space comprises the following steps:
obtaining a plurality of boundary points of the cavity;
mapping the boundary points to a unit circle to obtain a mapping function formula;
calculating stress and displacement of each monitoring point on the boundary of the cavity based on a mapping function formula, wherein the monitoring points are arrangement points of a multipoint displacement meter;
carrying out a uniaxial compression experiment on the rock sample at the monitoring point to obtain a uniaxial compression stress strain characteristic curve, calculating a linear relation between stress and displacement in complex transformation function, and obtaining a characteristic displacement corresponding to each characteristic stress based on the linear relation between stress and displacement;
and establishing a deformation early warning grading system based on the rock uniaxial compression curve according to the characteristic displacement.
Further, the boundary points are mapped to a unit circle by conformal.
Further, the mapping function formula is，/>Wherein:
（1）
（2）
（3）
in the method, in the process of the invention,representing the coordinates of the boundary point before mapping, +.>Representing the coordinates of the mapped boundary points, +.>For conformal mapping parameters, ++>、/>Is real number, < >>Expansion term number for Luon series, +.>For the number of groups of corresponding points on the excavated boundary and unit circle, < >>Each point on the circumference of the unit corresponds to a rotation angle of the real axis.
Further, based on the mapping function formula, calculating stress and displacement of each monitoring point on the boundary of the cavern, including:
and calculating the stress and displacement of each monitoring point on the boundary of the cavity based on a stress solving formula of the complex variation function, a displacement solving formula of the complex variation function and a mapping function formula.
Further, the stress solving formula of the complex function and the displacement solving formula of the complex function are as follows:
（4）
（5）
（6）
the solution formula of the stress boundary is as follows:（7）
the solving formula of the displacement boundary is as follows:（8）
（9）
（10）
（11）
（12）
in the method, in the process of the invention,、/>respectively the lower edge of rectangular coordinate system +.>、/>Component of axial stress>Is->Shear stress in plane->，/>、/>Called complex stress function, at any point in the infinite plane +.>Analyzing; />、/>For the edge->、/>An axial displacement component; />、/>，/>；/>Is the modulus of elasticity of the material,poisson's ratio->For points on the excavated boundary; />、/>Is the border upper edge->、/>A face force component of the shaft; />、/>Is the integral start and end of stress boundary, +.>、/>For->Is a analytic function of->、/>To characterize the process parameters of the stress field, it is assumed that the initial stress field is infinity and +.>Uniform stress field with an angle of the axis +.>、/>For far field stress,is->And->Included angle of shaft, 10>Is->；
Complex stress function solved by Cauchy integral operator, residue theory and conjugate theory、/>The chemical formula is shown as formulas (13) - (14):
（13）
(14) In (1) the->Representation->Wherein n takes the value 1, ">Representation->N takes a value of 2.
Further, the characteristic stress includes cracking stress, dilatation stress, and uniaxial compressive strength.
Further, the characteristic displacement includes a cracking displacement, a dilatation displacement, and a breaking displacement.
Further, the method further comprises:
corresponding engineering suggestion response measures are set for different grading early warning.
The beneficial effects of the invention are as follows: according to the method for determining the critical deformation of the surrounding rock of the underground space based on the rock mass strength, the surrounding rock can be rapidly and accurately subjected to space-time early warning by using a complex function method, the mapping function of the boundary of the cavity after each excavation can be solved by using conformal mapping, and then the early warning displacement of the same point under different excavation parts is realized, which is the early warning with time change; and the coordinates corresponding to different points on the boundary are different, and the early warning of the different points can be realized by inputting the different coordinates, which is the early warning on the space level.
Drawings
FIG. 1 is a flow chart of an embodiment of the invention;
FIG. 2 is a schematic map;
FIG. 3 is a boundary plane mechanical model;
FIG. 4 is a hierarchy chart based on a rock uniaxial compression curve;
FIG. 5 is a response workflow diagram based on a hierarchy.
Detailed Description
The technical solutions of the present invention will be clearly and completely described below with reference to the embodiments, and it is apparent that the described embodiments are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by a person skilled in the art without any inventive effort, are intended to be within the scope of the present invention, based on the embodiments of the present invention.
Referring to fig. 1 to 5, the invention provides a comprehensive early warning and auxiliary decision-making method for surrounding rock disasters of an underground space, which comprises the following steps:
and S100, acquiring a plurality of boundary points of the cavity.
The point taking method of the boundary points comprises the following steps: taking points at the boundary of the excavation cavity, wherein the straight line section can only take the end points at the beginning and the end during taking points, the number of taking points is properly increased for the arc section so as to reflect the shape of the arc section, and the coordinates of the boundary points are as follows. Generally, when the arc segment is taken, the point is taken as little as possible on the premise that the shape of the arc segment can be extracted, and the subsequent calculation amount can be reduced.
S200, mapping the boundary points to a unit circle, wherein the coordinates of the mapped boundary points are as followsObtaining a mapping function formula->The method comprises the steps of carrying out a first treatment on the surface of the Wherein (1)>The number of terms of the mapping function formula is determined according to the complexity of the boundary of the cavern; />The calculation formula of (a) is shown as formula (1) to formula (3).
（1）
（2）
（3）
In the method, in the process of the invention,for conformal mapping parameters, ++>、/>Is real number, < >>Expansion term number for Luon series, +.>For the number of groups of corresponding points on the excavated boundary and unit circle, < >>Each point on the circumference of the unit corresponds to a rotation angle of the real axis.
In some embodiments, the boundary points are mapped onto unit circles by conformality, the mapping schematic being shown in FIG. 2.
And S300, calculating stress and displacement of each monitoring point on the boundary of the grotto based on a stress solving formula of the complex function, a displacement solving formula of the complex function and a mapping function formula, wherein the monitoring points are arrangement points of the multipoint displacement meter in the actual engineering.
Specifically, the stress solving equation (4) and equation (5)) of the complex function and the displacement solving equation (6)) of the complex function are as follows:
（4）
（5）
（6）
the solution formula of the stress boundary is as follows:（7）
the solving formula of the displacement boundary is as follows: （8）
（9）
（10）
（11）
（12）
in the method, in the process of the invention,、/>respectively the lower edge of rectangular coordinate system +.>、/>Component of axial stress>Is->The shear stress in the plane of the sheet,，/>、/>called complex stress function, at any point in the infinite plane +.>Analyzing; />、/>For the edge->、An axial displacement component; />(plane strain),>(plane stress),；/>for modulus of elasticity>Poisson's ratio->For points on the excavated boundary; />、/>Is the border upper edge->、A face force component of the shaft; />、/>Is the integral start and end of the stress boundary. />、/>For->Is a analytic function of->、/>To characterize the process parameters of the stress field, it is assumed that the initial stress field is infinity and +.>The axis is at an angle to the uniform stress field as shown in figure 3. />、/>For far field stress->Is->And->Included angle of axis (anticlockwise positive), +.>Is->。
Complex stress function solved by Cauchy integral operator, residue theory and conjugate theory、/>The chemical formula is shown as formulas (13) - (14).
（13）
(14) In (1) the->、/>Is->The first two items of (1), i.e. when +.>And->When (1).
S400, under the excavation unloading effect, normal stress of a temporary face is reduced to zero, circumferential stress is increased, and rock of a cave wall is in a uniaxial stress state, so that a uniaxial compression experiment is carried out on a rock sample at a monitoring point to obtain a uniaxial compression stress strain characteristic curve, a complex transformation function is utilized to calculate a linear relation between stress and displacement, and characteristic displacement corresponding to each characteristic stress is obtained based on the linear relation between stress and displacement.
The characteristic stress includes cracking stressExpansion stress->And uniaxial compressive Strength>。
The characteristic displacement includes a crack initiation displacementCapacity expansion displacement->And destruction of displacement->。
S500, a deformation early warning grading system based on the rock uniaxial compression curve is established according to the characteristic displacement. The deformation early warning hierarchy is shown in table 1 and fig. 4.
TABLE 1
In some embodiments, corresponding engineering advice responsive measures are provided for different hierarchical early warning, as shown in fig. 5.
The foregoing is merely a preferred embodiment of the invention, and it is to be understood that the invention is not limited to the form disclosed herein but is not to be construed as excluding other embodiments, but is capable of numerous other combinations, modifications and environments and is capable of modifications within the scope of the inventive concept, either as taught or as a matter of routine skill or knowledge in the relevant art. And that modifications and variations which do not depart from the spirit and scope of the invention are intended to be within the scope of the appended claims.
Claims (5)
1. The comprehensive early warning and auxiliary decision making method for the surrounding rock disasters of the underground space is characterized by comprising the following steps of:
obtaining a plurality of boundary points of the cavity;
mapping the boundary points to a unit circle to obtain a mapping function formula;
calculating stress and displacement of each monitoring point on the boundary of the cavity based on a mapping function formula, wherein the monitoring points are arrangement points of a multipoint displacement meter;
carrying out a uniaxial compression experiment on the rock sample at the monitoring point to obtain a uniaxial compression stress strain characteristic curve, calculating a linear relation between stress and displacement by using a complex transformation function, and obtaining a characteristic displacement corresponding to each characteristic stress based on the linear relation between stress and displacement;
according to the characteristic displacement, a deformation early warning grading system based on a rock uniaxial compression curve is established;
the mapping function formula is，/>Wherein:
（1）
（2）
（3）
in the method, in the process of the invention,representing the coordinates of the boundary point before mapping, +.>Representing the coordinates of the mapped boundary points, +.>For conformal mapping parameters, ++>、/>Is real number, < >>Expansion term number for Luon series, +.>For the number of groups of corresponding points on the excavated boundary and unit circle, < >>The rotation angles of each point on the unit circumference line corresponding to the real axis;
based on the mapping function formula, calculating stress and displacement of each monitoring point on the boundary of the cavity, including:
calculating stress and displacement of each monitoring point on the boundary of the cavity based on a stress solving formula of the complex variation function, a displacement solving formula of the complex variation function and a mapping function formula;
the stress solving formula of the complex function and the displacement solving formula of the complex function are as follows:
（4）
（5）
（6）
the solution formula of the stress boundary is as follows:
（7）
the solving formula of the displacement boundary is as follows:
（8）
（9）
（10）
（11）
（12）
in the method, in the process of the invention,、/>respectively the lower edge of rectangular coordinate system +.>、/>Component of axial stress>Is->The shear stress in the plane of the sheet,，/>、/>called complex stress function, at any point in the infinite plane +.>Analyzing; />、/>Is a rim、/>An axial displacement component; />，/>；/>For modulus of elasticity>Poisson's ratio->For points on the excavated boundary; />、/>Is the border upper edge->、/>A face force component of the shaft; />、/>Is the integral start and end of stress boundary, +.>、/>For->Is a analytic function of->、/>To characterize the process parameters of the stress field, it is assumed that the initial stress field is infinity and +.>Uniform stress field with an angle of the axis +.>、/>For far field stress,is->And->Included angle of shaft, 10>Is-> ；
Complex stress function solved by Cauchy integral operator, residue theory and conjugate theory、/>The chemical formula is shown as formulas (13) - (14):
（13）
（14）
in the method, in the process of the invention,representation->Wherein n takes the value 1, ">Representation->N takes a value of 2.
2. The method for comprehensive early warning and decision-making assistance of surrounding rock disasters in an underground space according to claim 1, wherein the boundary points are mapped onto a unit circle by conformal mapping.
3. The method for comprehensively early warning and assisting decision-making of surrounding rock disasters in an underground space according to claim 1, wherein the characteristic stress comprises cracking stress, dilatation stress and uniaxial compressive strength.
4. The method for comprehensively early warning and assisting decision-making of surrounding rock disasters in an underground space according to claim 1, wherein the characteristic displacement comprises cracking displacement, capacity expansion displacement and destruction displacement.
5. The method for comprehensive pre-warning and decision-making assistance for surrounding rock disasters in an underground space according to claim 1, wherein the method further comprises:
corresponding engineering suggestion response measures are set for different grading early warning.
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Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU1460354A1 (en) * | 1986-03-10 | 1989-02-23 | Всесоюзный Научно-Исследовательский Горнометаллургический Институт Цветных Металлов | Mine compressed-air accumulator |
| CN102155231A (en) * | 2011-03-18 | 2011-08-17 | 大连海事大学 | Quick feedback analyzing system in tunnel constructing process |
| JP2011256525A (en) * | 2010-06-04 | 2011-12-22 | Ohbayashi Corp | Tunnel monitoring method |
| CN102982247A (en) * | 2012-12-05 | 2013-03-20 | 浙江科技学院 | Surrounding rock stress analysis method of arbitrarily excavated cross section tunnels |
| CN104361165A (en) * | 2014-11-04 | 2015-02-18 | 南京航空航天大学 | Analysis method of multi-hole piezoelectric material electro-elastic field |
| CN105117516A (en) * | 2015-07-28 | 2015-12-02 | 西北工业大学 | Method for calculating hole circumference stress distribution of porous composite laminate plate |
| CN106194262A (en) * | 2016-08-03 | 2016-12-07 | 太原理工大学 | Mine floor Austria limestone gushing water on-line monitoring intelligent early-warning system |
| CN108614035A (en) * | 2018-03-23 | 2018-10-02 | 长江水利委员会长江科学院 | The pregnant calamity Risk Identification Method of great burying cavern hard rock rock burst |
| CN108871946A (en) * | 2018-03-23 | 2018-11-23 | 长江水利委员会长江科学院 | Great burying cavern hard rock rock burst calamity grade appraisal procedure |
| CN109184795A (en) * | 2018-09-03 | 2019-01-11 | 煤炭科学技术研究院有限公司 | A kind of coal mine emergency rescue system, safety monitoring method, device and storage medium |
| CN109268028A (en) * | 2018-08-30 | 2019-01-25 | 中国水利水电第十四工程局有限公司 | A kind of large-span underground chamber half range mistake is away from excavation supporting method |
| CN110847969A (en) * | 2019-10-29 | 2020-02-28 | 中国电建集团华东勘测设计研究院有限公司 | Method for determining deformation grading early warning index of underground cavern group under rock mass condition |
Family Cites Families (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP1645851B1 (en) * | 2003-07-02 | 2013-10-23 | Neubrex Co., Ltd. | Structure monitor system |
| GB2407440B (en) * | 2003-09-23 | 2006-02-22 | Responsiveload Ltd | Grid stabilising system |
| CN111368405B (en) * | 2020-02-25 | 2021-12-28 | 山东大学 | Near-field dynamics method and system for catastrophically simulating breaking gushing water of tunnel rock mass |
| CN111927558B (en) * | 2020-10-13 | 2021-01-12 | 中国科学院武汉岩土力学研究所 | Safety early warning method and device for full-face tunneling of dynamic water weak surrounding rock tunnel |
-
2023
- 2023-06-29 CN CN202310778679.6A patent/CN116498391B/en active Active
Patent Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU1460354A1 (en) * | 1986-03-10 | 1989-02-23 | Всесоюзный Научно-Исследовательский Горнометаллургический Институт Цветных Металлов | Mine compressed-air accumulator |
| JP2011256525A (en) * | 2010-06-04 | 2011-12-22 | Ohbayashi Corp | Tunnel monitoring method |
| CN102155231A (en) * | 2011-03-18 | 2011-08-17 | 大连海事大学 | Quick feedback analyzing system in tunnel constructing process |
| CN102982247A (en) * | 2012-12-05 | 2013-03-20 | 浙江科技学院 | Surrounding rock stress analysis method of arbitrarily excavated cross section tunnels |
| CN104361165A (en) * | 2014-11-04 | 2015-02-18 | 南京航空航天大学 | Analysis method of multi-hole piezoelectric material electro-elastic field |
| CN105117516A (en) * | 2015-07-28 | 2015-12-02 | 西北工业大学 | Method for calculating hole circumference stress distribution of porous composite laminate plate |
| CN106194262A (en) * | 2016-08-03 | 2016-12-07 | 太原理工大学 | Mine floor Austria limestone gushing water on-line monitoring intelligent early-warning system |
| CN108614035A (en) * | 2018-03-23 | 2018-10-02 | 长江水利委员会长江科学院 | The pregnant calamity Risk Identification Method of great burying cavern hard rock rock burst |
| CN108871946A (en) * | 2018-03-23 | 2018-11-23 | 长江水利委员会长江科学院 | Great burying cavern hard rock rock burst calamity grade appraisal procedure |
| CN109268028A (en) * | 2018-08-30 | 2019-01-25 | 中国水利水电第十四工程局有限公司 | A kind of large-span underground chamber half range mistake is away from excavation supporting method |
| CN109184795A (en) * | 2018-09-03 | 2019-01-11 | 煤炭科学技术研究院有限公司 | A kind of coal mine emergency rescue system, safety monitoring method, device and storage medium |
| CN110847969A (en) * | 2019-10-29 | 2020-02-28 | 中国电建集团华东勘测设计研究院有限公司 | Method for determining deformation grading early warning index of underground cavern group under rock mass condition |
Non-Patent Citations (1)
| Title |
|---|
| 单位圆外域到任意开挖断面隧洞外域共形映射的计算方法;祝江鸿;杨建辉;施高萍;王;蔡建平;;岩土力学(第01期);全文 * |
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