CN108760487A - Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis - Google Patents
Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis Download PDFInfo
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
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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
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Abstract
The invention discloses a kind of deep cavern country rock subregion failure evolvement analysis methods based on rockbolt stress analysis, including step：Step 1: cavern excavation：Current constructed cavern is excavated；Step 2: country rock basic mechanical parameter determines：The country rock basic mechanical parameter of current constructed cavern is tested；Step 3: country rock subregion failure evolvement is analyzed：According to identified country rock basic mechanical parameter in step 2, the analysis of country rock subregion failure evolvement is carried out to current constructed cavern, and according to analysis result to the quantity M of existing rupture zone and the thickness of each rupture zone are determined respectively on current constructed surrounding rock of chamber after the completion of excavating.Step of the present invention is simple, reasonable design and realization are convenient, using effect is good, the rupture zone quantity on the outside of current constructed cavern and thickness and the position of each rupture zone can be obtained by the analysis of country rock subregion failure evolvement, and reliable basis is provided for follow-up cavern excavation and surrounding rock supporting.
Description
Technical field
The invention belongs to Cavity Construction technical fields, more particularly, to a kind of buried hole based on rockbolt stress analysis
Room country rock subregion failure evolvement analysis method.
Background technology
Underground chamber is not just for uses such as traffic, water power, mines, and the modern times have been underground urban construction, refrigeration, storage
Oil, water storage, environmental project and defence engineering etc. are widely used, and cavern can be divided into (such as the diversion tunnel) of water and only water
(such as access tunnel) two major classes.Deep cavern (also referred to as yield of deep-buried cavities) refers to the embedded underground chamber more than 50m.
In recent years, the underground space and resources requirement are sharply increased with people, deep rock mass engineering project is on the increase.
According to incompletely statistics, external mining depth is more than that the metal mine of 1000m has reached seats up to a hundred；The multiple pit mining depth in China are
More than 1000m, in 10 years from now on~in 20 years, domestic majority mines will enter the mining depth of 1000m~2000m.Meanwhile
Both at home and abroad or plan build a large amount of yield of deep-buried cavities engineering, such as mountain ridge traffic tunnel, large-scale hydroelectric project diversion tunnel
Road, nuke rubbish deep layer disposal well, oil war preparedness storage engineering etc..These deep rock mass engineering projects all suffer from high-ground stress, High-geotemperature,
The complicated geological environment of high pore water pressure shows notable nonlinear deformation and destructive characteristics different from superficial part rock mass, such as divides
Area's rupture, violent rock burst, country rock squeeze large deformation etc..Wherein, country rock subregion ruptures so that deep cavern is in excavation and support mistake
Be faced with many worldwide technological puzzles urgently to be resolved hurrily in journey, and thus become deep rock mass engineering project area research hot spot and
One of difficult point.
Subregion rupture is the special geology phenomenon that rupture zone is alternately generated with non-ruptured area in deep cavern country rock.It is long
Since phase, people have made intensive studies subregion failure mechanism by means such as theory deduction, analysis of experiments and numerical simulations.
Early in the eighties in last century, E.I.Shemyakin is found that " ring-band shape is broken country rock using resistivity meter in the deep mines М а я к
Split " phenomenon, as shown in Figure 1.
G.D.Adams and A.J.Jager is to the South Africa depths Witwatersrand gold mine 2000m~3000m Stope roof
Septal rupture phenomenon has carried out drilling and has pried through；D.F.Malan and S.M.Spottiswoode utilizes field monitoring analysis
Stope roof septal rupture with the development of mining activity and formation, has inquired into the relationship that mine shake is destroyed with top plate subregion at any time；
Influences of the E.J.Sellers and P.Klerck to the discontinuity surface in country rock to septal rupture has carried out experimental study；M.B.Kyp
л e н я and B.H.O п ap и н give broken rock zone radius and thickness equations suitable for specific mining area；
The physical basis that I.S.Metlov etc. is ruptured using Nonequilibrium Tbermodynamics equation analysis subregion, and carried out computer mould
It is quasi-；G.R.Adams and A.J.Jager are pointed out, as long as meeting condition, roadway surrounding rock can all generate subregion fracture phenomena, but crack
Theoretical explanation is not yet received in Crack cause；E. И Ш e м я к и н think country rock subregion rupture be not construction of explosion disturbance caused by,
But since tunnel ambient stress field changes；к у р л e н я have studied the time effect of country rock subregion rupture, propose primary stress
It is the velocity of displacement that country rock off-load generates that value has great influence, the speed to tunnel-surrounding velocity of displacement.
At home, Qian Qihu proposes " zonal fracturing " this concept at home for the first time, analyzes the generation of subregion rupture
Condition, main feature and changing rule；Tang Chunan etc. has studied rock mass septal rupture mechanism and evolution with RFPA numerical softwares
Rule；Li Shucai, Xu Hong hair etc. passes through the field monitoring to Huainan Ding Jikuang Deep Roadway country rocks, it is proposed that subregion shelled force
With the parsing relationship of roadway excavation radius；Week, small equality had studied the width of buried spherical surrounding rock of chamber rupture zone and non-ruptured area
And quantity；The kinetic theory solution of the axisymmetrical stresses such as Chen Jiangong adit digging moment country rock radial stress field off field, it is indicated that point
Relationship is compared in each radius of fractured zone presence in area etc.；Lu Jianrong is based on thick cylinder three dimension linear and elastic analytic modell analytical model, has inquired into horizontal stress
The mechanism of action that country rock subregion is ruptured with axial compressive force；Zuo Yujun etc. has studied deep laneway surrounding rock under dynamic and static combination condition
The mechanical mechanism of subregion rupture；Chen Xu light has inquired into the Forming Mechanism and anchor characteristics that country rock subregion ruptures under high-ground stress；King
It learns the subregion based on loading and off-load modeling deep laneway surrounding rock such as shore to destroy, it is believed that off-load model is closer to engineering reality
Border；Gu Jincai, Zhang Xutao etc. have carried out model investigation to the rupture of deep surrounding rock of chamber subregion.
In conclusion expert achieves a series of achievement in research to the research that deep wall rock subregion ruptures both at home and abroad, but
Due to deep rock mass engineering project local environment and its high complexity of self-deformation, at present still about the research of country rock subregion rupture
It is in the junior stage, is especially determining that the achievement in research of broken rock zone thickness and quantitative aspects is less.
Invention content
In view of the above-mentioned deficiencies in the prior art, the technical problem to be solved by the present invention is that providing a kind of based on anchor pole
The deep cavern country rock subregion failure evolvement analysis method of force analysis, step is simple, reasonable design and realization are convenient, uses
Effect is good, and rupture zone quantity and each rupture on the outside of current constructed cavern can be obtained by the analysis of country rock subregion failure evolvement
The thickness in area and position provide reliable basis for follow-up cavern excavation and surrounding rock supporting.
In order to solve the above technical problems, the technical solution adopted by the present invention is：It is a kind of based on rockbolt stress analysis it is buried
Surrounding rock of chamber subregion failure evolvement analysis method, which is characterized in that this approach includes the following steps：
Step 1: cavern excavation：Current constructed cavern is excavated；
Step 2: country rock basic mechanical parameter determines：Laboratory test is carried out by boring sample to scene, to currently being applied
The country rock basic mechanical parameter of work cavern is tested, and synchronizes record to test result；
Step 3: country rock subregion failure evolvement is analyzed：According to identified country rock basic mechanical parameter in step 2, to working as
Preceding constructed cavern carries out the analysis of country rock subregion failure evolvement, and according to analysis result to current constructed cavern after the completion of excavating
The quantity M of existing rupture zone and the thickness of each rupture zone are determined respectively on country rock；Wherein, M is integer and M >=0；Work as M
When=0, illustrate that rupture zone is not present on current constructed surrounding rock of chamber；
When carrying out the analysis of country rock subregion failure evolvement to current construct cavern, by currently constructed surrounding rock of chamber from it is interior to
It is divided into multiple country rock subregions outside, and rupture Analysis is carried out respectively to multiple country rock subregions from the inside to the outside, process is as follows：
Step 301, first country rock subregion rupture Analysis：To first country rock subregion on the outside of current constructed cavern into
Row rupture Analysis, includes the following steps：
Step 3011, first country rock subregion thickness determine：According to formula It is calculated
First country rock subregion thickness l0, l0Unit be m；In formula (I), R0By current construction cavern equivalent excavation radius and its
Unit is m；ρ0By the equivalent excavation half of the neutral point radius and current construction cavern of the anchor pole in first country rock subregion
The sum of diameter, in first country rock subregion the neutral point radius of the anchor pole be in first country rock subregion the anchor pole front end in
The spacing of property point；WhereinAnchor pole is used when U is carries out supporting to the current cavern that constructed
Section girth and its unit be m, A be the anchor pole cross-sectional area and its unit m2, EbFor the springform of the anchor pole
It measures and its unit is Pa, K is the shear stiffness coefficient in the anchor rod body unit length and its unit is Pa/m；
Step 3012, rupture determine：It is right | σr0-μ(σθ0+σz0) | with | σt| difference comparsion is carried out, and according to difference comparsion knot
First country rock subregion of fruit pair judges with the presence or absence of rupture：When | σr0-μ(σθ0+σz0)|≥|σt| when, it is judged as first
Country rock subregion there is rupture and first country rock subregion is broken surrounding rock subregion at this time, enters step 3013；Otherwise, it is judged as working as
Rupture zone and M=0 are not present on preceding constructed surrounding rock of chamber, completes the country rock subregion failure evolvement analysis of current constructed cavern
Process；
The broken surrounding rock subregion is divided into a rupture zone and a non-ruptured area being located on the outside of the rupture zone；
Wherein, | σt| it is σtAbsolute value, σtIt is Pa by the tensile strength and its unit of current construction surrounding rock of chamber,Wherein m is coefficient related with the rock type of current construction surrounding rock of chamber and integrality
And m=0.001~25, s are the Rock-mass integrity index of current construction surrounding rock of chamber, σcBy current surrounding rock of chamber rock of being constructed
The uniaxial compressive strength of body and its unit are Pa；
|σr0-μ(σθ0+σz0) | it is σr0-μ(σθ0+σz0) absolute value；
Wherein, μ is the Poisson's ratio of current construction surrounding rock of chamber rock mass, σr0At first country rock subregion Elastic-Plastic Boundary
Rock mass support pressure peak effect under radial stress and its unit be Pa；
WhereinBy the internal friction angle of current construction surrounding rock of chamber rock mass, P0'
For the reaction of bearing on first country rock subregion elastic plastic interphase；For the outer diameter of plastic zone of surrounding rock in first country rock subregion
AndC by current construction surrounding rock of chamber rock mass cohesive strength and its unit be Pa；A0It is to be with t
Number, Wherein G cuts by current construction surrounding rock of chamber rock mass
Shear modulu and its unit are Pa；B is supporting coefficient, and b is constant and 0 < b < 1；By cavern surface of currently constructing before supporting
The shift value of country rock and its unit are m, rb0By the anchor pole outer end in first country rock subregion to current construction cavern center
Distance and rb0=l0+R0；Nmax0For maximum axle power suffered by the anchor pole at the anchor pole neutral point in first country rock subregion andB by with current surrounding rock of chamber of being constructed deform relevant coefficient andErBy the synthetical elastic modulus and its list of current construction surrounding rock of chamber rock mass
Position is Pa, P0The stress of primary rock and its unit by current construction surrounding rock of chamber rock mass before excavating are Pa；Rp0It is moulded for bullet after excavation
Property under the conditions of current constructed surrounding rock of chamber plastic zone radius and its unit be m,
σθ0For the tangential stress at country rock Elastic-Plastic Boundary in first country rock subregion andσz0For
Axial stress and σ in first country rock subregion at country rock Elastic-Plastic Boundaryz0=(1+2 μ) P0, σθ0And σz0Unit be Pa；
Step 3013, first country rock subregion implosion area thickness determine：According to formula It is right
The thickness d in first country rock subregion implosion areas0It is determined；
Wherein,For first country rock subregion implosion area outer diameter andFirst country rock
The internal diameter in subregion implosion area
Step 302, next country rock subregion rupture Analysis：To next country rock subregion on the outside of current constructed cavern into
Row rupture Analysis；In this step, carries out the country rock subregion of rupture Analysis and divide by the k-th country rock on the outside of construction cavern of current institute
Area, wherein K are positive integer and K >=2, K=k+1, k are positive integer and k >=1；In this step, it is located on the inside of k-th country rock subregion
K country rock subregions rupture Analysis process is completed；
When carrying out rupture Analysis to k-th country rock subregion, include the following steps：
Step 3021, k-th country rock subregion thickness determine：According to formulaIt calculates
Go out k-th country rock subregion thickness lk, lkUnit be m；
In formula (III), ρkBy the anchor pole in k-th country rock subregion neutral point radius with currently construct cavern etc.
Effect excavates the sum of radius, before the neutral point radius of the anchor pole is the anchor pole in k-th country rock subregion in k-th country rock subregion
The spacing at end and neutral point；Wherein, Δ lkzFor k on the inside of k-th country rock subregion
The sum of subregion thickness of the country rock subregion and its unit are m；
Step 3022, rupture determine：It is right | σrk-μ(σθk+σzk) | with | σt| difference comparsion is carried out, and according to difference comparsion knot
Fruit judges k-th country rock subregion with the presence or absence of rupture：When | σrk-μ(σθk+σzk)|≥|σt| when, it is judged as that k-th is enclosed
Rock subregion there is rupture and k-th country rock subregion is broken surrounding rock subregion at this time, enters step 3023；Otherwise, it is judged as k-th
Rupture zone and M=k are not present on country rock subregion, completes the country rock subregion failure evolvement analytic process of current constructed cavern；
Wherein, | σrk-μ(σθk+σzk) | it is σrk-μ(σθk+σzk) absolute value；
σrkBe the rock mass at k-th country rock subregion Elastic-Plastic Boundary support pressure peak effect under radial stress and its
Unit is Pa；PkFor the reaction of bearing on elastic plastic interphase in k-th country rock subregion
And its unit is Pa,τsIt is by the residual shear strength and its unit of current construction surrounding rock of chamber
Pa,For on the inside of the k-th country rock subregion and the k-th country rock subregion implosion area adjacent with k-th country rock subregion
Outer diameter,For the internal diameter in k-th of country rock subregion implosion area；For the outer diameter of plastic zone of surrounding rock in k-th country rock subregion
AndAkFor coefficient andWherein rbkFor k-th country rock
The sum of subregion implosion area's thickness and the equivalent excavation radius of current constructed cavern and rbk=lk+R0；NmaxkFor k-th country rock
Maximum axle power suffered by anchor pole in subregion at the anchor pole neutral point and
σθkFor the tangential stress at country rock Elastic-Plastic Boundary in k-th country rock subregion andσzkFor
Axial stress and σ in k-th country rock subregion at country rock Elastic-Plastic Boundaryzk=(1+2 μ) P0, σθkAnd σzkUnit be Pa；
The thickness determination of step 3023, k-th country rock subregion implosion area：According to formula
To the thickness d in k-th country rock subregion implosion areaskIt is determined；
Wherein,For k-th country rock subregion implosion area outer diameter andΔRk=R0+Δ
lkz；The internal diameter in k-th country rock subregion implosion area
Step 303, one or many repetition steps 302, until the country rock subregion rupture for completing current constructed cavern is drilled
Change analytic process.
The above-mentioned deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, it is characterized in that：Step
When being excavated to current constructed cavern in one, extends longitudinally direction and current constructed cavern is excavated from the front to the back
And excavation length is not more than 50m.
The above-mentioned deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, it is characterized in that：Step
Country rock subregion described in three is located on the outside of current constructed cavern, the country rock subregion, the rupture zone and the non-ruptured area
Transverse shape it is identical as the current transverse shape of constructed cavern.
The above-mentioned deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, it is characterized in that：Step
It is also needed according to formula d in 3013ns0=l0-ds0, the thickness d in non-ruptured area in first country rock subregion is calculatedns0；
It is also needed according to formula d in step 3023nsk=lk-dsk, the thickness in non-ruptured area in k-th country rock subregion is calculated
Spend dnsk。
The above-mentioned deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, it is characterized in that：Step
M=0.01 described in 3012, s=0~1, b=0.8.
The above-mentioned deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, it is characterized in that：Step
In one after the completion of cavern excavation, a segment is chosen from the cavern for excavated completion as test section；It is enclosed in step 2
It when this mechanics parameter of batholith determines, bores sample from the test section and carries out laboratory test, and the test result obtained is to excavate
The country rock basic mechanical parameter of the test section afterwards.
The above-mentioned deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, it is characterized in that：Step
Current constructed cavern is deep tunnel or coal mine down-hole tunnel in one.
Compared with the prior art, the present invention has the following advantages：
1, analysis method step is simple, realizes that convenient and input cost is low, can be in a few minutes, very using data processing equipment
Analytic process is completed in tens seconds.
2, after the completion of excavating, country rock basic mechanical parameter is first determined, further according to identified country rock basic mechanical parameter pair
Current constructed cavern carries out the analysis of country rock subregion failure evolvement, thus country rock subregion failure evolvement analysis result is accurate, reliable,
It can have strong operability.
3, the characteristics of rear surrouding rock deformation just tends towards stability for a period of time for deep cavern excavation supporting, from excavation initial stage branch
The force analysis of Bolt used in shield construction, which is started with, establishes analysis model, by determine anchor pole neutral point radius and
Its maximum axle power, carries out rupture Analysis, rupture Analysis result and engineering are actually very close respectively to country rock subregion.Due to cavern
Redistribution occurs for surrouding rock stress after excavation, when the generated stretching under maximum tangential support pressure of the rock mass on elastic plastic interphase
When stress is more than its ultimate tensile strength, rock mass will generate radial drawing crack and multiple rupture zones and non-ruptured area occur and is alternately distributed
Phenomenon；The difference of rock displacement rate will cause anchor pole to occur multiple neutral points along its length in rupture zone and non-ruptured area；
Also, broken rock zone thickness is substantially in the trend successively decreased successively, until country rock rupture stops.Condition is ruptured according to country rock subregion
The alternatively distributed stress deformation feature of stress is drawn-pressed to lower bolt, it is proposed that one kind passing through rockbolt stress rule back analysis country rock
The new method of subregion rupture.Compatible deformation principle based on the body of rod and country rock, establishes Bolt and country rock phase interaction
Mechanical model, and corresponding analysis obtains the rupture zone of country rock and non-ruptured area's thickness in each country rock subregion.Based on lattice Lifei
This strength theory, it is proposed that mechanics criterion (the i.e. rupture judgement of drawing crack occurs for elastic plastic interphase rock mass after surrouding rock stress redistribution
Foundation), and then the rupture zone total quantity (i.e. M) of country rock is determined.
4, using effect is good, the compatible deformation principle based on anchor pole and country rock, analyzes drilling substantially for country rock subregion rupture
Law, rationally determine deep cavern broken rock zone thickness and quantity can be cavern excavation and supporting provide important theory according to
According to.It is obtained through analysis：Each country rock subregion thickness and rupture zone thickness are substantially in the trend successively decreased successively from hole wall to country rock depths,
According to thickness and the position of rupture zone total quantity and each rupture zone that analysis obtains, the effective and reasonable determining deep cavern of energy is opened
Excavation case and its surrounding rock supporting parameter, and provide new thinking for the rupture research of deep rock mass engineering project country rock subregion.
In conclusion step of the present invention is simple, reasonable design and realization are convenient, using effect is good, it is broken by country rock subregion
The rupture zone quantity on the outside of current constructed cavern and thickness and the position of each rupture zone can be obtained by splitting EVOLUTION ANALYSIS, be follow-up
Cavern excavation and surrounding rock supporting provide reliable basis.
Below by drawings and examples, technical scheme of the present invention will be described in further detail.
Description of the drawings
Fig. 1 is the method flow block diagram of the present invention.
Fig. 2 by deep cavern arch country rock subregion of the present invention rupture formation rupture zone distribution schematic diagram.
Reference sign:
1-deep cavern；1-1-country rock subregion rupture zone；
1-2-non-ruptured the area of country rock subregion.
Specific implementation mode
A kind of deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis as shown in Figure 1, packet
Include following steps：
Step 1: cavern excavation：Current constructed cavern is excavated；
Step 2: country rock basic mechanical parameter determines：Laboratory test is carried out by boring sample to scene, to currently being applied
The basic mechanical parameter of enclosing of work cavern is tested, and synchronizes record to test result；
Step 3: country rock subregion failure evolvement is analyzed：According to identified country rock basic mechanical parameter in step 2, to working as
Preceding constructed cavern carries out the analysis of country rock subregion failure evolvement, and according to analysis result to current constructed cavern after the completion of excavating
The quantity M of existing rupture zone and the thickness of each rupture zone are determined respectively on country rock；Wherein, M is integer and M >=0；Work as M
When=0, illustrate that rupture zone is not present on current constructed surrounding rock of chamber；
Current constructed cavern is enclosed when carrying out the analysis of country rock subregion failure evolvement to current constructed cavern in conjunction with Fig. 2
Rock is divided into multiple country rock subregions from the inside to the outside, and carries out rupture Analysis, mistake respectively to multiple country rock subregions from the inside to the outside
Journey is as follows：
Step 301, first country rock subregion rupture Analysis：To first country rock subregion on the outside of current constructed cavern into
Row rupture Analysis, includes the following steps：
Step 3011, first country rock subregion thickness determine：According to formula It is calculated
First country rock subregion thickness l0, l0Unit be m；In formula (I), R0By current construction cavern equivalent excavation radius and its
Unit is m；ρ0By the equivalent excavation half of the neutral point radius and current construction cavern of the anchor pole in first country rock subregion
The sum of diameter, in first country rock subregion the neutral point radius of the anchor pole be in first country rock subregion the anchor pole front end in
The spacing of property point；WhereinAnchor pole is used when U is carries out supporting to the current cavern that constructed
Section girth and its unit be m, A be the anchor pole cross-sectional area and its unit m2, EbFor the springform of the anchor pole
It measures and its unit is Pa, K is the shear stiffness coefficient in the anchor rod body unit length and its unit is Pa/m；
Step 3012, rupture determine：It is right | σr0-μ(σθ0+σz0) | with | σt| difference comparsion is carried out, and according to difference comparsion knot
First country rock subregion of fruit pair judges with the presence or absence of rupture：When | σr0-μ(σθ0+σz0)|≥|σt| when, it is judged as first
Country rock subregion there is rupture and first country rock subregion is broken surrounding rock subregion at this time, enters step 3013；Otherwise, it is judged as working as
Rupture zone and M=0 are not present on preceding constructed surrounding rock of chamber, completes the country rock subregion failure evolvement analysis of current constructed cavern
Process；
The broken surrounding rock subregion is divided into a rupture zone and a non-ruptured area being located on the outside of the rupture zone；
Wherein, | σt| it is σtAbsolute value, σtIt is Pa by the tensile strength and its unit of current construction surrounding rock of chamber,Wherein m is coefficient related with the rock type of current construction surrounding rock of chamber and integrality
And m=0.001~25, s are the Rock-mass integrity index of current construction surrounding rock of chamber, σcBy current surrounding rock of chamber rock of being constructed
The uniaxial compressive strength of body and its unit are Pa；
|σr0-μ(σθ0+σz0) | it is σr0-μ(σθ0+σz0) absolute value；
Wherein, μ is the Poisson's ratio of current construction surrounding rock of chamber rock mass, σr0At first country rock subregion Elastic-Plastic Boundary
Rock mass support pressure peak effect under radial stress and its unit be Pa；Its
InBy the internal friction angle of current institute's construction surrounding rock of chamber rock mass, P0' is the support on first country rock subregion elastic plastic interphase
Counter-force；For plastic zone of surrounding rock in first country rock subregion outer diameter andC is currently is constructed
The cohesive strength of surrounding rock of chamber rock mass and its unit are Pa；A0It is coefficient with t, Wherein G by current construction surrounding rock of chamber rock mass modulus of shearing and its unit
For Pa；B is supporting coefficient, and b is constant and 0 < b < 1；By before supporting currently construct cavern surface country rock shift value and
Its unit is m, rb0By the anchor pole outer end in first country rock subregion to the distance and r at current construction cavern centerb0=l0+
R0；Nmax0For maximum axle power suffered by the anchor pole at the anchor pole neutral point in first country rock subregion andB by with current surrounding rock of chamber of being constructed deform relevant coefficient andErBy the synthetical elastic modulus and its list of current construction surrounding rock of chamber rock mass
Position is Pa, P0The stress of primary rock and its unit by current construction surrounding rock of chamber rock mass before excavating are Pa；Rp0It is moulded for bullet after excavation
Property under the conditions of current constructed surrounding rock of chamber plastic zone radius and its unit be m,
σθ0For the tangential stress at country rock Elastic-Plastic Boundary in first country rock subregion andσz0For
Axial stress and σ in first country rock subregion at country rock Elastic-Plastic Boundaryz0=(1+2 μ) P0, σθ0And σz0Unit be Pa；
Step 3013, first country rock subregion implosion area thickness determine：According to formula It is right
The thickness d in first country rock subregion implosion areas0It is determined；
Wherein,For first country rock subregion implosion area outer diameter andFirst country rock
The internal diameter in subregion implosion area
Step 302, next country rock subregion rupture Analysis：To next country rock subregion on the outside of current constructed cavern into
Row rupture Analysis；In this step, carries out the country rock subregion of rupture Analysis and divide by the k-th country rock on the outside of construction cavern of current institute
Area, wherein K are positive integer and K >=2, K=k+1, k are positive integer and k >=1；In this step, it is located on the inside of k-th country rock subregion
K country rock subregions rupture Analysis process is completed；
When carrying out rupture Analysis to k-th country rock subregion, include the following steps：
Step 3021, k-th country rock subregion thickness determine：According to formulaIt calculates
Go out k-th country rock subregion thickness lk, lkUnit be m；
In formula (III), ρkBy the anchor pole in k-th country rock subregion neutral point radius with currently construct cavern etc.
Effect excavates the sum of radius, before the neutral point radius of the anchor pole is the anchor pole in k-th country rock subregion in k-th country rock subregion
The spacing at end and neutral point；Wherein, Δ lkzFor k on the inside of k-th country rock subregion
The sum of subregion thickness of the country rock subregion and its unit are m；
Step 3022, rupture determine：It is right | σrk-μ(σθk+σzk) | with | σt| difference comparsion is carried out, and according to difference comparsion knot
Fruit judges k-th country rock subregion with the presence or absence of rupture：When | σrk-μ(σθk+σzk)|≥|σt| when, it is judged as that k-th is enclosed
Rock subregion there is rupture and k-th country rock subregion is broken surrounding rock subregion at this time, enters step 3023；Otherwise, it is judged as k-th
Rupture zone and M=k are not present on country rock subregion, completes the country rock subregion failure evolvement analytic process of current constructed cavern；
Wherein, | σrk-μ(σθk+σzk) | it is σrk-μ(σθk+σzk) absolute value；
σrkBe the rock mass at k-th country rock subregion Elastic-Plastic Boundary support pressure peak effect under radial stress and its
Unit is Pa；PkFor the reaction of bearing on elastic plastic interphase in k-th country rock subregion
And its unit is Pa,τsIt is by the residual shear strength and its unit of current construction surrounding rock of chamber
Pa,For on the inside of the k-th country rock subregion and the k-th country rock subregion implosion area adjacent with k-th country rock subregion
Outer diameter,For the internal diameter in k-th of country rock subregion implosion area；For the outer diameter of plastic zone of surrounding rock in k-th country rock subregion
AndAkFor coefficient andWherein rbkFor k-th country rock
The sum of subregion implosion area's thickness and the equivalent excavation radius of current constructed cavern and rbk=lk+R0；NmaxkFor k-th country rock
Maximum axle power suffered by anchor pole in subregion at the anchor pole neutral point and
σθkFor the tangential stress at country rock Elastic-Plastic Boundary in k-th country rock subregion andσzkFor
Axial stress and σ in k-th country rock subregion at country rock Elastic-Plastic Boundaryzk=(1+2 μ) P0, σθkAnd σzkUnit be Pa；
The thickness determination of step 3023, k-th country rock subregion implosion area：According to formulaTo the thickness d in k-th country rock subregion implosion areaskIt is determined；
Wherein,For k-th country rock subregion implosion area outer diameter andΔRk=R0+Δ
lkz；The internal diameter in k-th country rock subregion implosion area
Step 303, one or many repetition steps 302, until the country rock subregion rupture for completing current constructed cavern is drilled
Change analytic process.
In the present embodiment, current constructed cavern is the deep cavern 1 that buried depth is more than 50m in step 1.
The buried depth of current constructed cavern refers to the top of the cavern excavation section to the vertical range on natural ground.
In the present embodiment, when being excavated to current constructed cavern in step 1, direction is extended longitudinally from the front to the back
Current constructed cavern excavate and excavation length is not more than 50m.
Current constructed cavern is deep tunnel or coal mine down-hole tunnel in step 1.In the present embodiment, currently constructed
Cavern is deep tunnel.
When practice of construction, current constructed cavern may be the pipeline cavern installed for underground piping.
As shown in Fig. 2, country rock subregion described in step 3 is located on the outside of current constructed cavern, the country rock subregion, institute
The transverse shape for stating rupture zone and the non-ruptured area is identical as the current transverse shape of constructed cavern.
That is, when country rock is there are when subregion rupture, there is subregion rupture in the one week country rock in current constructed cavern.
As shown in Fig. 2, each broken surrounding rock subregion is located at the rupture zone by a rupture zone and one
The non-ruptured district's groups in outside at.Wherein, the rupture zone is country rock subregion rupture zone 1-1, and the non-ruptured area is country rock subregion
Non-ruptured area 1-2.
S=0~1 described in step 3012.
In the present embodiment, the m=0.01 described in step 3012, s=1, b=0.8.It, can be according to specific when practice of construction
It needs, the value size of described m, s and b is adjusted accordingly.
P described in step 30120' with using the anchor pole to current constructed cavern support when current constructed cavern
Reaction of bearing at the wall of hole suffered by country rock is identical.It is easy to calculate in the present embodiment, using the anchor pole as non-prestressed anchor
Bar, and the P0'=0Pa.It is accurate for data, current institute when can also use test method to current constructed cavern support
Reaction of bearing suffered by construction cavern's Dong Bichu country rocks is tested, and the reaction of bearing obtained according to test is to P0' carry out really
It is fixed.
The neutral point radius of the anchor pole is in first country rock subregionThe anchor in k-th country rock subregion
The neutral point radius of bar is
Δ R described in step 3023kFor the distance of k-th of country rock subregion outer edge to cavern center.
The rock mass not influenced by Human dried bloodstains (such as digging tunnel, coal mine down-hole tunnel) in the earth's crust is known as original
Rock mass, abbreviation protolith.The stress of primary rock described in step 2012 refers to being present in stratum not by the natural stress of Engineering Disturbance,
Also referred to as rock mass primary stress, absolute stress or crustal stress.
Quadratic distribution occurs for cavern excavation initial stage, surrouding rock stress, and circumferential compressive force sharply increases suffered by the wall country rock of hole, hole wall
In elasticity or elastic-plastic behavior.Since hole wall is the scope of freedom, country rock can only generate cross directional stretch under tangential pressure into hole
Expansion.When stretcher strain of the country rock under tangential pressure reaches its limiting strain, there is first rupture zone in hole wall, i.e., " pseudo-
Face ".For superficial part rock mass, since crustal stress level is relatively low, second rupture zone can not possibly be generated after stress release；It is right
The outer boundary of deep rock mass under large ground pressure, first rupture zone generated after stress release is equivalent to new excavation
Boundary, such stress redistribution again.When stress field after redistribution meets rock mass damage condition, stress is released again
It puts, forms second of rupture zone.And so on, which will continue to that country rock is drawn by the maximum radial for axially supporting pressure to generate
Until when strain is less than rock mass ultimate tensile strength, subregion fracture phenomena is finally formed inside country rock, ultimately forms deep wall rock
Subregion fracture phenomena.
For a long time, Bolt (is specifically in cavern's preliminary bracing, such as cavern's initial stage branch in surrounding rock of chamber supporting
Shield) in be widely adopted.If cavern excavation initial stage country rock is in elastic-plastic behavior, surface country rock is under pressure at right angle effect to hole
In the space of room rupture zone is formed after continuous deformation.For ease of discussing, it is assumed that：The first, cavern's section is equivalent to circle, longitudinal direction
Length is much larger than transverse width, belongs to plane strain problems；The second, by anchor pole surrounding rock body be reduced to homogeneous, it is continuous and respectively to
The elasticoplastic body of the same sex；It is not produced relative sliding between third, anchor surface any point and its surrounding rock body；4th, anchor pole is anti-
Tensile strength is much larger than the tensile strength of surrounding rock body, the length of country rock surface to elastic region outer boundary.Pass through in the present invention by
Surrounding rock of chamber is reduced to ideal elastic-plastic medium, and Bolt is laid in surrounding rock of chamber.
After country rock cavern excavates, it is followed successively by rock crusher area, plasticity from the inside to the outside along 2 length direction of arch wall support anchor rod
Area and elastic region, since each area's rock mass has different radial-deformations, closer to cavern surface, country rock radial displacement rate is got over
Greatly.There is one section of body of rod close to cavern surface the trend for preventing fracture area rock mass from being deformed into cavern, surface to generate
It is directed toward the indoor positive friction in hole；Since the rate of displacement of elasto-plastic range (elasto-plastic region) rock mass is less than normal compared with fracture area, remaining one section of body of rod then exists
Close to the lower negative friction for generating direction deep wall rock of drawing effect of cavern's surface body of rod.Point of positive negative friction suffered by the body of rod
Interface is the neutral point of anchor pole, and relative displacement and swimming cloths power of the body of rod with its surrounding rock body are zero, but its axial direction
Pulling force but reaches maximum value.Thus, it is directed toward opposite separation there are a swimming cloths power on the arch wall support anchor rod 2,
The separation is the neutral point that the arch wall support anchor rod 2 is zero with its surrounding rock body relative displacement, which is zero.But
At the separation, the axial tension of the anchor pole 2 reaches maximum and from the separation to the two end axles of the arch wall support anchor rod 2
It gradually decreases and goes to zero to pulling force.
In this way, the present invention is based on the compatible deformation principles of anchor pole and country rock, and by establishing the arch wall to excavated cavern
(i.e. arch and side wall) carries out the mechanical model of the anchor rod body and the interaction of its surrounding rock body of supporting, analyzes anchor surface
The regularity of distribution of frictional resistance and axle power, and according to the static balance condition of the body of rod, derive anchor rod body is with rock mass relative displacement
Zero neutral point position and its maximum axial value of thrust.
Since each subregion rock mass has different radial-deformations, closer to Dong Bi, country rock radial displacement rate is bigger.It leans on
There is one section of body of rod of nearly hole wall the trend for preventing fracture area rock mass from being deformed into hole, surface to generate negative in direction hole
Frictional resistance；Since the rate of displacement of elasto-plastic range (elasto-plastic region) rock mass is less than normal compared with fracture area, remaining one section of body of rod is then drawn close to the hole wall body of rod
The effect of pulling out is lower to generate the positive friction for being directed toward deep wall rock, and positive negative friction interface is anchor pole neutral point suffered by the body of rod, should
Relative displacement and body of rod swimming cloths power of the body of rod with its surrounding rock body are zero at point, but its axial tension reaches maximum value.
Surrounding rock of chamber stress is constantly transmitted to country rock deep by multiple redistribution.There is the process of subregion rupture in country rock
In, new neutral point continuously emerges along body of rod length direction for anchor pole, is the larger fracture area of rate of deformation on the inside of each neutral point,
The negative friction on the body of rod is acted on to be directed toward in hole；Outside is the smaller non-ruptured area of rate of deformation, is acted on the body of rod
Positive friction is directed toward deep wall rock.Since country rock radial displacement and radial strain are in the fluctuations of wave crest, trough, country rock
Bolt is alternately distributed drawing-pressure stress occurs.These phenomenons fully show：There is rupture in deep cavern country rock
The subregion fracture phenomena that area and non-ruptured area alternate.
It is obtained through analysis：(also referred to as anchor pole is neutral there are multiple neutral points for rockbolt stress in 1 country rock of the deep cavern
Point), there is the phenomenon that multiple rupture zones and multiple non-ruptured areas are spaced apart, i.e. subregion fracture phenomena in 1 country rock of deep cavern.It is more
A neutral point is respectively M from the inside to the outside1、M2、M3,….Also, the spacing between each neutral point and cavern center isWherein, O0For cavern center, MiFor i-th of neutral point in 1 country rock of the deep cavern, i is just whole
Number and i=1,2,3 ...；O0MiFor the spacing between i-th of neutral point and cavern center.Also, it is deposited in each country rock subregion
In a neutral point, when subregion rupture occurs for country rock, along rock-bolt length direction in each country rock subregion anchor rod body head
Axle power is zero suffered by end and end, and anchor rod body is upper mutual in stress and deformation in two adjacent country rock subregions
It does not influence.
Wherein cavern center is the geometric center of cavern excavation section, and herein, cavern center is the circle of cavern excavation section
The center of circle of the equivalent excavated section of shape.
In the present embodiment, also needed according to formula d in step 3013ns0=l0-ds0, it is calculated in first country rock subregion
The thickness d in non-ruptured areans0；
It is also needed according to formula d in step 3023nsk=lk-dsk, the thickness in non-ruptured area in k-th country rock subregion is calculated
Spend dnsk。
In the present embodiment, in step 1 after the completion of cavern excavation, a segment work is chosen from the cavern for excavated completion
For test section.
When progress country rock basic mechanical parameter determines in step 2, bores sample from the test section and carry out laboratory test, and
The test result obtained is the country rock basic mechanical parameter of the test section after excavating.In this way, identified mechanics parameter needs
It is determined on the basis of experiment, can effectively ensure that data are accurate and reliable, reduced and calculate error.
In the present embodiment, the test section is located at current constructed segment rear end and the length of 1m.
In the present embodiment, current constructed cavern is tunnel, when carrying out cavern excavation in step 1, using full face tunneling
Method or benching tunnelling method are excavated.
Also, used full face tunneling method or benching tunnelling method are conventional tunnel excavation method.
In the present embodiment, when progress country rock basic mechanical parameter determines in step 2, identified country rock basic mechanical ginseng
Number at least should include the stress of primary rock P of current constructed surrounding rock of chamber rock mass before excavating0, current constructed surrounding rock of chamber rock mass
Internal friction angleSupport on the Poisson's ratio μ of current constructed surrounding rock of chamber rock mass, first country rock subregion elastic plastic interphase is anti-
Power P0', the cohesive strength c of current constructed surrounding rock of chamber rock mass, the currently shear modulus G of constructed surrounding rock of chamber rock mass, supporting
The shift value of preceding current constructed cavern surface country rockThe synthetical elastic modulus E of current constructed surrounding rock of chamber rock massr, when
The residual shear strength τ of preceding constructed surrounding rock of chambersWith the uniaxial compressive strength σ of current constructed surrounding rock of chamber rock massc。
Also, also need the equivalent excavation radius R to current constructed cavern0, to current constructed cavern's progress supporting when
The elastic modulus E of the section girth U of used anchor pole, the cross-sectional area A of the anchor pole, the anchor polebWith the anchor pole
Shear stiffness coefficient K in body of rod unit length.Wherein, shear stiffness coefficient refer to rock sample in certain normal stress and
Under shear stress effect, the ratio of corresponding shear stress and shear displacemant.
In the present embodiment, in step 2 the country rock of current constructed cavern by construction cavern of current institute arch or control two
The country rock of side wall present position.
The internal diameter in first country rock subregion implosion area described in step 3013For first country rock subregion implosion area
Inner edge boundary line to current constructed cavern center spacing, the outer diameter in first country rock subregion implosion areaIt is first
The spacing at the outside boundary line in country rock subregion implosion area to current constructed cavern center；
The internal diameter in the subregion implosion of k-th country rock described in step 3023 areaFor k-th country rock subregion implosion area
The spacing at inner edge boundary line to current constructed cavern center, the outer diameter in k-th country rock subregion implosion areaFor k-th country rock
The spacing at the outside boundary line in subregion implosion area to current constructed cavern center.
τ described in step 3022s=τp- c, τpPeak shear strength by current institute's construction surrounding rock of chamber (is also referred to as peak value
Intensity).
In the present embodiment, multiple country rock subregions are radially laid from the inside to the outside along cavern, and multiple country rock subregions are equal
On the same cross section of current constructed cavern.
In the present embodiment, current constructed cavern is stalk dome-type cavern, equivalent excavation radius R0=2.0m, Poisson's ratio
μ=0.25, uniaxial compressive strength σc=37.7MPa, stress of primary rock P0=22.8MPa, cohesive strength c=12MPa, internal friction angleThe synthetical elastic modulus E of rock massr=4.2GPa, shear modulus G=1.68GPa, peak shear strength τp=
48MPa.After cavern excavation, a diameter of non-prestressed anchor pole of φ 25mm full length fastenings is laid in country rock, it is assumed that anchor rod body is long
Degree, which meets to calculate, to be required, section girth U=0.08m, cross-sectional area A=4.91 × 10-4m2, the elasticity modulus of the anchor pole
Eb=40GPa, the shift value of current constructed cavern surface country rock before supportingShear stiffness coefficient K=
360MPa/m。
In the present embodiment,
According to formulaTo first country rock subregion thickness l0When being calculated, according toObtain l0=3.07m.
τs=τp- c=48 × 106-12×106=36MPa；
σz0=(1+2 μ) P0==(1+2 × 0.25) × 22.8 × 106=34.2MPa；
σr0-μ(σθ0+σz0)=(- 31.24 × 106)-0.25×(92.04×106+34.2×106)=- 62.80MPa；
Compare and obtains：|σr0-μ(σθ0+σz0) | > | σt|, thus there is rupture and first at this time in first country rock subregion
Country rock subregion is broken surrounding rock subregion, and hole wall rock mass will be entered brittleness drawing crack state by mecystasis in first country rock subregion,
First rupture zone of country rock is formed after the wall unstability of hole.
Quadratic distribution occurs for cavern excavation initial stage, surrouding rock stress, and country rock is resilient distribution.By theory of elastic mechanics it is found that
When concentrated stress suffered by country rock is more than its ultimate strength at the wall of hole, hole wall country rock will enter plasticity drawing crack state first.
After when hole, wall country rock enters state of rupture by mecystasis, surrouding rock stress generation is distributed three times；
It is calculated
Modulus of shearing
Correspondingly, stress occurs to form first country rock subregion model after being distributed three times after hole wall wall rock destabilization is calculated
Enclose interior plastic zone outer diameter：
Accordingly it is calculated：The thickness d in the 1st country rock subregion implosion areas0=2.49-2.0=0.49m, the 1st country rock
The thickness d in non-ruptured area in subregionns0=3.07-0.49=2.58m；
Similarly, according to the method described in step 3021 to step 3023, can find out k-th country rock subregion implosion area and
The thickness in non-ruptured area, and according to the thickness in determined each country rock subregion implosion area and non-ruptured area, in each country rock subregion
The position in rupture zone and non-ruptured area is accordingly determined.
In the present embodiment, according to the method described in step 3021 to step 3023, the 2nd country rock subregion, the 3rd can be found out
The thickness of a country rock subregion and the 4th country rock subregion implosion area and non-ruptured area.
Wherein, the 2nd country rock subregion thickness l1=1.84m, the thickness d in the 2nd implosion area of country rock subregion implosion areas1
=0.34m, the thickness d in non-ruptured area in the 2nd country rock subregionns1=1.50m；
3rd country rock subregion thickness l2=3.83m, the thickness d in the 3rd implosion area of country rock subregion implosion areas2=
0.57m, the thickness d in non-ruptured area in the 3rd country rock subregionns2=3.26m；
4th country rock subregion thickness l3=0.69m, the thickness d in the 4th implosion area of country rock subregion implosion areas3=
0.19m, the thickness d in non-ruptured area in the 4th country rock subregionns3=0.50m.
Similarly, when carrying out rupture Analysis to the 5th country rock subregion, Δ l4z=l0+l1+l2+l3=3.07+1.84+3.83+
0.69=9.43m.
According toL is calculated4=5.77m；
Correspondingly, five distributions of stress generation are formed outside the plastic zone in the 5th country rock subregion after hole wall wall rock destabilization
Diameter is：
Reaction of bearing in 5th country rock subregion on elastic plastic interphase
σz4=(1+2 × 0.25) × 22.8 × 106=34.2MPa；
σr4-μ(σθ4+σz4)=- 7.78 × 106- 0.25 × (68.58 × 106+34.2 × 106)=- 33.47MPa；
It is obtained through comparing：|σr4-μ(σθ4+σz4) | < | σt|, it is judged as on a country rock subregions of the 5th (i.e. K) that there is no ruptures
Area and M=4 (i.e. k), the country rock subregion failure evolvement analytic processes of current the constructed cavern of completion.At this point, current constructed hole
Room includes in total 4 rupture zones, refers to Fig. 2.
As shown in the above, surrounding rock of chamber subregion ruptures result of calculation, refers to table 1：
Table 1
To sum up, it is analyzed according to country rock subregion failure evolvement, obtains the thickness of all rupture zones on the outside of current constructed cavern
And position, the surrounding rock supporting scheme after the completion of excavation can be determined in this way, provide foundation accurately and securely, practical value is very
It is high.
The above is only presently preferred embodiments of the present invention, is not imposed any restrictions to the present invention, every according to the present invention
Technical spirit changes any simple modification, change and equivalent structure made by above example, still falls within skill of the present invention
In the protection domain of art scheme.
Claims (7)
1. a kind of deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis, which is characterized in that the party
Method includes the following steps：
Step 1: cavern excavation：Current constructed cavern is excavated；
Step 2: country rock basic mechanical parameter determines：Laboratory test is carried out by boring sample to scene, to current constructed hole
The country rock basic mechanical parameter of room is tested, and synchronizes record to test result；
Step 3: country rock subregion failure evolvement is analyzed：According to identified country rock basic mechanical parameter in step 2, to current institute
Cavern's progress country rock subregion failure evolvement of constructing is analyzed, and according to analysis result to current constructed surrounding rock of chamber after the completion of excavating
The upper existing quantity M of rupture zone and the thickness of each rupture zone are determined respectively；Wherein, M is integer and M >=0；Work as M=0
When, illustrate that rupture zone is not present on current constructed surrounding rock of chamber；
When carrying out the analysis of country rock subregion failure evolvement to current constructed cavern, current constructed surrounding rock of chamber is drawn from the inside to the outside
It is divided into multiple country rock subregions, and rupture Analysis is carried out respectively to multiple country rock subregions from the inside to the outside, process is as follows：
Step 301, first country rock subregion rupture Analysis：First country rock subregion on the outside of current constructed cavern is broken
Analysis is split, is included the following steps：
Step 3011, first country rock subregion thickness determine：According to formula(I), it is calculated first
Country rock subregion thickness l0, l0Unit be m；In formula (I), R0It is by the equivalent excavation radius and its unit of current construction cavern
m；ρ0By the anchor pole in first country rock subregion neutral point radius with currently construct cavern the sum of equivalent excavation radius,
The neutral point radius of the anchor pole is the anchor pole front end and neutral point in first country rock subregion in first country rock subregion
Spacing；WhereinUsed anchor pole is transversal when U is to the progress supporting of construction cavern of current institute
Face perimeter and its unit are m, and A is the cross-sectional area and its unit m of the anchor pole2, EbFor the anchor pole elasticity modulus and its
Unit is Pa, and K is the shear stiffness coefficient in the anchor rod body unit length and its unit is Pa/m；
Step 3012, rupture determine：It is right | σr0-μ(σθ0+σz0) | with | σt| difference comparsion is carried out, and according to difference comparsion result pair
First country rock subregion is judged with the presence or absence of rupture：When | σr0-μ(σθ0+σz0)|≥|σt| when, it is judged as first country rock
Subregion there is rupture and first country rock subregion is broken surrounding rock subregion at this time, enters step 3013；Otherwise, it is judged as current institute
Rupture zone and M=0 is not present on construction surrounding rock of chamber, the country rock subregion failure evolvement for completing current constructed cavern was analyzed
Journey；
The broken surrounding rock subregion is divided into a rupture zone and a non-ruptured area being located on the outside of the rupture zone；
Wherein, | σt| it is σtAbsolute value, σtIt is Pa by the tensile strength and its unit of current construction surrounding rock of chamber,Wherein m is coefficient related with the rock type of current construction surrounding rock of chamber and integrality
And m=0.001~25, s are the Rock-mass integrity index of current construction surrounding rock of chamber, σcBy current surrounding rock of chamber rock of being constructed
The uniaxial compressive strength of body and its unit are Pa；
|σr0-μ(σθ0+σz0) | it is σr0-μ(σθ0+σz0) absolute value；
Wherein, μ is the Poisson's ratio of current construction surrounding rock of chamber rock mass, σr0For the rock at first country rock subregion Elastic-Plastic Boundary
Radial stress and its unit of the body under support pressure peak effect are Pa；Wherein
By the internal friction angle of current institute's construction surrounding rock of chamber rock mass, P0' is the reaction of bearing on first country rock subregion elastic plastic interphase；For plastic zone of surrounding rock in first country rock subregion outer diameter andC is enclosed by the current cavern that constructed
The cohesive strength of rock rock mass and its unit are Pa；A0It is coefficient with t, Wherein G by current construction surrounding rock of chamber rock mass modulus of shearing and its unit
For Pa；B is supporting coefficient, and b is constant and 0 < b < 1；By before supporting currently construct cavern surface country rock shift value and
Its unit is m, rb0By the anchor pole outer end in first country rock subregion to the distance and r at current construction cavern centerb0=l0+
R0；Nmax0For maximum axle power suffered by the anchor pole at the anchor pole neutral point in first country rock subregion andB by with current surrounding rock of chamber of being constructed deform relevant coefficient andEErBy current construction surrounding rock of chamber rock mass synthetical elastic modulus and its
Unit is Pa, P0The stress of primary rock and its unit by current construction surrounding rock of chamber rock mass before excavating are Pa；Rp0For bullet after excavation
The plastic zone radius and its unit of current constructed surrounding rock of chamber are m under the condition of palsticity,
σθ0For the tangential stress at country rock Elastic-Plastic Boundary in first country rock subregion andσz0It is first
Axial stress and σ in a country rock subregion at country rock Elastic-Plastic Boundaryz0=(1+2 μ) P0, σθ0And σz0Unit be Pa；
Step 3013, first country rock subregion implosion area thickness determine：According to formula(II), to first
The thickness d in a country rock subregion implosion areas0It is determined；
Wherein,For first country rock subregion implosion area outer diameter andFirst country rock subregion
The internal diameter in implosion area
Step 302, next country rock subregion rupture Analysis：Next country rock subregion on the outside of current constructed cavern is broken
Split analysis；In this step, the country rock subregion of rupture Analysis is carried out as the k-th country rock subregion on the outside of current construction cavern,
Middle K is positive integer and K >=2, K=k+1, k are positive integer and k >=1；In this step, the k being located on the inside of k-th country rock subregion is a
Rupture Analysis process is completed in the country rock subregion；
When carrying out rupture Analysis to k-th country rock subregion, include the following steps：
Step 3021, k-th country rock subregion thickness determine：According to formulaIt is calculated
K country rock subregion thickness lk, lkUnit be m；
In formula (III), ρkBy the equivalent excavation of the neutral point radius and current construction cavern of the anchor pole in k-th country rock subregion
The sum of radius, in k-th country rock subregion the neutral point radius of the anchor pole be in k-th country rock subregion the anchor pole front end in
The spacing of property point；Wherein, Δ lkzIt is enclosed for k on the inside of k-th country rock subregion are described
The sum of subregion thickness of rock subregion and its unit are m；
Step 3022, rupture determine：It is right | σrk-μ(σθk+σzk) | with | σt| difference comparsion is carried out, and according to difference comparsion result pair
K-th country rock subregion is judged with the presence or absence of rupture：When | σrk-μ(σθk+σzk)|≥|σt| when, it is judged as k-th country rock point
Area there is rupture and k-th country rock subregion is broken surrounding rock subregion at this time, enters step 3023；Otherwise, it is judged as k-th country rock
Rupture zone and M=k are not present on subregion, completes the country rock subregion failure evolvement analytic process of current constructed cavern；
Wherein, | σrk-μ(σθk+σzk) | it is σrk-μ(σθk+σzk) absolute value；
σrkIt is radial stress and its unit of the rock mass at k-th country rock subregion Elastic-Plastic Boundary in the case where support pressure peak acts on
For Pa；PkFor the reaction of bearing on elastic plastic interphase in k-th country rock subregion and its
Unit is Pa,τsIt is Pa by the residual shear strength and its unit of current construction surrounding rock of chamber,For on the inside of k-th country rock subregion and the k-th country rock subregion implosion area adjacent with k-th country rock subregion it is outer
Diameter,For the internal diameter in k-th of country rock subregion implosion area；For plastic zone of surrounding rock in k-th country rock subregion outer diameter andAkFor coefficient andWherein rbkFor k-th country rock point
The sum of area's implosion area thickness and the equivalent excavation radius of current constructed cavern and rbk=lk+R0；NmaxkFor k-th country rock point
Maximum axle power suffered by anchor pole in area at the anchor pole neutral point and
σθkFor the tangential stress at country rock Elastic-Plastic Boundary in k-th country rock subregion andσzkFor k-th
Axial stress and σ in country rock subregion at country rock Elastic-Plastic Boundaryzk=(1+2 μ) P0, σθkAnd σzkUnit be Pa；
The thickness determination of step 3023, k-th country rock subregion implosion area：According to formulaTo
The thickness d in K country rock subregion implosion areaskIt is determined；
Wherein,For k-th country rock subregion implosion area outer diameter andΔRk=R0+Δlkz；K
The internal diameter in a country rock subregion implosion area
Step 303, one or many repetition steps 302, until completing the country rock subregion failure evolvement point of current constructed cavern
Analysis process.
2. the deep cavern country rock subregion failure evolvement analysis method described in accordance with the claim 1 based on rockbolt stress analysis,
It is characterized in that：When being excavated to current constructed cavern in step 1, direction is extended longitudinally from the front to the back to current institute
Construction cavern excavate and excavation length is not more than 50m.
3. according to the deep cavern country rock subregion failure evolvement analysis side as claimed in claim 1 or 2 based on rockbolt stress analysis
Method, it is characterised in that：Country rock subregion described in step 3 is located at current construct cavern outside, and the country rock subregion described is broken
The transverse shape in split plot and the non-ruptured area is identical as the current transverse shape of constructed cavern.
4. according to the deep cavern country rock subregion failure evolvement analysis side as claimed in claim 1 or 2 based on rockbolt stress analysis
Method, it is characterised in that：It is also needed according to formula d in step 3013ns0=l0-ds0, it is calculated non-ruptured in first country rock subregion
The thickness d in areans0；
It is also needed according to formula d in step 3023nsk=lk-dsk, the thickness in non-ruptured area in k-th country rock subregion is calculated
dnsk。
5. according to the deep cavern country rock subregion failure evolvement analysis side as claimed in claim 1 or 2 based on rockbolt stress analysis
Method, it is characterised in that：M=0.01 described in step 3012, s=0~1, b=0.8.
6. according to the deep cavern country rock subregion failure evolvement analysis side as claimed in claim 1 or 2 based on rockbolt stress analysis
Method, it is characterised in that：In step 1 after the completion of cavern excavation, a segment is chosen from the cavern for excavated completion as test
Section；When progress country rock basic mechanical parameter determines in step 2, bores sample from the test section and carry out laboratory test, and obtained
Test result be excavate after the test section country rock basic mechanical parameter.
7. according to the deep cavern country rock subregion failure evolvement analysis side as claimed in claim 1 or 2 based on rockbolt stress analysis
Method, it is characterised in that：Current constructed cavern is deep tunnel or coal mine down-hole tunnel in step 1.
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