CN108959759A - The method for determining prismatical joint rockmass anisotropy ratio based on numerical simulation - Google Patents
The method for determining prismatical joint rockmass anisotropy ratio based on numerical simulation Download PDFInfo
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Abstract
The present invention discloses a kind of method for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, and step includes: that the prismatical joint rock mass sample at different cylinder inclination angles is established by finite element software;Corresponding constitutive model is selected, and physical and mechanical parameter needed for assigning the constitutive model;The design conditions of the constitutive model are set and debug calculation procedure, carry out numerical simulation of different cylinder inclination angles prismatical joint rock mass sample under the conditions of different confining pressures;The monitoring data in numerical simulation are extracted, prismatical joint rockmass anisotropy ratio is calculated.The present invention is based on the repeatable batches of continuous media numerical simulation to carry out anisotropy prismatical joint rock mass numerical experimentation, analyze the prismatical joint rockmass anisotropy under different stress, and then quickly and easily determine anisotropy ratio, and, this method is based on a large amount of numerical experimentations, analog result is more true and reliable, has important practical advice meaning to the design, construction and supporting scheme etc. of prismatical joint rock mass engineering project.
Description
Technical field
The present invention relates to a kind of methods of determining rockmass anisotropy, in particular to a kind of to be determined using numerical simulation means
The method of prismatical joint rockmass anisotropy ratio, belongs to the fields such as rock mechanics and engineering, rock-soil mechanics.
Background technique
Prismatical joint is a kind of primary extension fracture construction being common in basalt, with being distributed widely in Southwestern China
Area.With the development of China's construction of hydropower facilities, there are more and more engineerings to be related to prismatical joint rock mass.Prismatical joint rock mass is
One kind has the rock mass of specific structural features, and the mechanical characteristics such as deformation and intensity are influenced by structural plane direction and shown
Apparent anisotropic properties.Lot of research shows the construction that structures are carried out in this rock mass, and structures are walked
There is vital relationship to stability of the relationship in cylinder inclination angle to structure, therefore deeply recognizes and grasp column section
Reason rockmass anisotropy mechanical characteristic has important directive significance to the design and construction of engineering.
For the respectively research to different characteristic of prismatical joint rock mass, numerous scholars are mainly from the following aspects:
(1) test in situ
Have scholar by live true triaxial test system prismatical joint rock mass has been carried out having a size of 50cm × 50cm ×
100cm in-situ test obtains anisotropy deformation parameter of the rock mass under different stress levels.In-situ test can be accurately anti-
Engineering practice is reflected, is to obtain Mechanical property most straightforward approach, but economy and time cost are high, and can weigh
Renaturation and controllability are poor, and the randomness of prismatical joint polygonal structure and the size of field test instrument also lead to test
As a result do not have typicalness.
(2) indoor model test
In order to overcome the shortcomings of in-situ test, large scale phase is made using the mixture of gypsum, white lime, normal sand and water
Like structure column jointed rock mass model sample, carries out different cylinders and incline the Eccentric Loads in Layered Soils and Research of rock mass, analyze each to different
Property feature.In the announcement for illustrating problem mechanism property and rule, similarity material test has it for comparing field test
Distinctive advantage, but there are still certain defect, such as the discrete type of artificial sample preparation, column intensity disunity, joint filling are endless
Congruence.
Summary of the invention
Goal of the invention: the purpose of the present invention existing anisotropy research method there are aiming at the problem that, a kind of base is provided
In the method that numerical simulation determines prismatical joint rockmass anisotropy ratio, this method carries out anisotropy column by repetitive lots
Shape jointed rock mass numerical experimentation automatically extracts monitoring data and calculates prismatical joint rockmass anisotropy ratio.
Technical solution: the method for the present invention that prismatical joint rockmass anisotropy ratio is determined based on numerical simulation, packet
Include following steps:
Step 1, the prismatical joint rock mass sample at different cylinder inclination angles is established by finite element software;
Step 2, corresponding constitutive model is selected, and physical and mechanical parameter needed for assigning the constitutive model;
Step 3, the design conditions of the constitutive model are set and debug calculation procedure, carry out different cylinder inclination angle column sections
Manage numerical simulation of rock mass sample under the conditions of different confining pressures;
Step 4, the monitoring data in numerical simulation are extracted, prismatical joint rockmass anisotropy ratio is calculated.
In above-mentioned steps 1, with 10~15 ° of spaced set cylinder inclination angle between 0~90 °.Preferably, cylinder inclines
Angle is arranged according to equidistant 10 °, establishes 0 °, 10 °, 20 °, 30 °, 40 °, 50 °, 60 °, 70 °, 80 ° and 90 ° of cylinder inclination angle respectively
Totally 10 samples.
Specifically, in step 2, the characteristics of according to prismatical joint rock mass, should soften in finite difference formulations software is selected
Change the constitutive model of model (s-s model) as prismatical joint rock mass.Correspondingly, object required for the strain softening model
Managing mechanics parameter includes: elasticity modulus, Poisson's ratio, cohesive strength, internal friction angle, tensile strength, severe and dilative angle.
In above-mentioned steps 3, the design conditions of the constitutive model include:
(1) initial confining pressure is set, confining pressure is applied to target value before being compressed axially;
(2) axially loaded, setting loading speed, loading method are carried out to monitoring sample using finite difference formulations program
It is controlled by strain loading;
(3) in finite difference iterative process, it is according to the curves of stress-strain relationship variation decision of monitoring sample
No stopping calculates;
(4) sample for automatically controlling different cylinder inclination angles carries out numerical experimentation under different confining pressures.
Further, in design conditions (3), the standard for stopping calculating is that the curves of stress-strain relationship of monitoring sample goes out
Existing peak point.
In step 4, the axial strain and axial stress of each cylinder inclination angle sample under different confining pressures are automatically extracted, is drawn
The curves of stress-strain relationship of different cylinders inclination angle sample, monitors the curves of stress-strain relationship, obtains not under same confining pressure
With the anisotropy ratio A1 determined under confining pressure by compression strength the and anisotropy ratio A2 determined by elasticity modulus.
Wherein, under a certain confining pressure the anisotropy ratio A1 of the prismatical joint rock mass at different cylinder inclination angles calculation formula are as follows:
A1=σmax/σmin,
In formula, σmaxAnd σminThe maximum value of the compression strength of different cylinder inclination angles sample and most respectively under the specific confining pressure
Small value.
The calculation formula of the anisotropy ratio A2 of the prismatical joint rock mass at different cylinders inclination angle under a certain confining pressure are as follows:
A2=Emax/Emin,
In formula, EmaxAnd EminThe maximum value of the elasticity modulus of different cylinder inclination angles sample and most respectively under the specific confining pressure
Small value;Wherein, under a certain confining pressure different cylinder inclination angles sample elasticity modulus can according to sample elastic stage axial strain
It is determined with corresponding axial stress.
Different cylinder inclination angles sample can be determined respectively in different confining pressures by compression strength and elasticity modulus by the above method
Under anisotropy ratio A1 and A2 can determine so that anisotropy ratio can be obtained with the change curve of confining pressure by the curve
Critical anisotropy ratio, and can determine and confining pressure C corresponding to critical anisotropy ratio0, C0Value to the safety of engineering design
Property has important directive significance.
The utility model has the advantages that compared with the field test of the prior art and laboratory test determine the method for anisotropic, the present invention
The advantages of be: the present invention is based on the repeatable batches of continuous media method for numerical simulation to carry out anisotropy prismatical joint rock mass
Numerical experimentation is analyzed the prismatical joint rockmass anisotropy under different stress, and then is quickly and easily determined each to different
Property ratio, moreover, method of the invention be based on a large amount of numerical experimentations, analog result is more true and reliable, to prismatical joint rock mass work
Design, construction and supporting scheme of journey etc. have important practical advice meaning.
Detailed description of the invention
Fig. 1 is the method flow diagram of the invention that prismatical joint rockmass anisotropy ratio is determined based on numerical simulation;
Fig. 2 is the three-dimensional model diagram for the prismatical joint rock mass established in embodiment and the three-dimensional grid model of partial enlargement;
Fig. 3 is the sectional view of column jointed rock mass in embodiment, wherein β is cylinder inclination angle;
Fig. 4 is the curves of stress-strain relationship in embodiment under a certain confining pressure of numerical simulation monitoring;
Fig. 5 is column jointed rock mass anisotropy ratio in embodiment with the change curve of confining pressure.
Specific embodiment
Technical solution of the present invention is described further with reference to the accompanying drawing.
The method for determining prismatical joint rockmass anisotropy ratio based on numerical simulation of the invention, includes the following steps:
Step 1, the prismatical joint rock mass sample at different cylinder inclination angles is established by finite element software;It generally can be at 0~90 °
Between with 10~15 ° of spaced set cylinder inclination angle;
Step 2, corresponding constitutive model is selected, and physical and mechanical parameter needed for assigning the constitutive model;
Strain softening model (the s-s in finite difference formulations software may be selected in the characteristics of according to prismatical joint rock mass
Model) the constitutive model as prismatical joint rock mass.Correspondingly, physical and mechanical parameter packet required for the strain softening model
It includes: elasticity modulus, Poisson's ratio, cohesive strength, internal friction angle, tensile strength, severe and dilative angle.
Step 3, the design conditions of the constitutive model are set and debug calculation procedure, carry out different cylinder inclination angle column sections
Manage numerical simulation of rock mass sample under the conditions of different confining pressures;Design conditions mainly include confining pressure and loading velocity, and setting calculates
After condition, writes calculation code and debug by, it can be achieved that automatic batch calculates and monitoring data extraction.
Step 4, the monitoring data in numerical simulation are extracted, prismatical joint rockmass anisotropy ratio is calculated.
Prismatical joint rockmass anisotropy is than including the anisotropy ratio A1 determined using compression strength and using elastic
The anisotropy ratio A2 that modulus determines.By monitoring the curves of stress-strain relationship of sample, different columns under same confining pressure are obtained
The compression strength of body inclination angle sample determines anisotropy ratio A1, A1=σ with the ratio between maximum value and minimum valuemax/σmin, wherein
σmaxAnd σminFor maximum compressive strength of the different cylinder inclination angles sample under same confining pressure and minimum compression strength.Pass through monitoring
The curves of stress-strain relationship of sample, the two different axial strains and corresponding axial direction for obtaining elastic stage are answered
Power calculates the elasticity modulus of different cylinders inclination angle sample under same confining pressure, each to different with the determination of the ratio between maximum value and minimum value
Property ratio A2, A2=Emax/Emin, EmaxAnd EminFor the maximum value of elasticity modulus of the different cylinder inclination angles sample under same confining pressure
And minimum value.
Embodiment
For determining some hydropower station dam foundation prismatical joint rockmass anisotropy ratio, method of the invention is illustrated.
Step 1: establishing Three-dimension Numerical Model
(1) finite-element preprocessing software is used, establishes three-dimensional column jointed rock mass numerical model, and carry out three-dimensional grid
Subdivision, such as Fig. 2, are directed into finite difference software;
(2) build together the threedimensional model at 10 different cylinder inclination angles, cylinder angle of inclination beta such as Fig. 3, β take respectively 0 °, 10 °, 20 °,
30 °, 40 °, 50 °, 60 °, 70 °, 80 ° and 90 °.
Step 2: constitutive model chooses and physical and mechanical parameter assignment
(1) the strain softening model in finite difference formulations software is selected;
(2) parameter list is as shown in table 1.
1 model calculating parameter of table
Step 3: design conditions are arranged and debug calculation procedure
(1) initial confining pressure is set, confining pressure is applied to target value before being compressed axially;
(2) axially loaded using the progress of finite difference formulations program, loading method is controlled by strain loading, axially loaded
Rate is set as the every time step of 0.002mm;
(3) in finite difference iterative process, it is according to the curves of stress-strain relationship variation decision of monitoring sample
No stopping calculates, and the standard of stopping is whether curves of stress-strain relationship peak point occurs;
(4) realize that the sample for automatically controlling 10 different cylinders inclination angles carries out numerical experimentation under different confining pressures;
(5) it is required, write calculation code and is debugged by, it can be achieved that automatic batch calculates and monitoring number according to above-mentioned 4
According to extraction.
Step 4: extracting the monitoring data in numerical simulation
(1) axial strain and axial stress of each cylinder inclination angle sample under different confining pressures are automatically extracted;
(2) curves of stress-strain relationship of each cylinder inclination angle sample under every grade of confining pressure, such as Fig. 4, in which: abscissa are drawn
For axial strain, indicated with axial displacement;Ordinate is axial stress, is indicated with axial compression strength.
Step 5: calculating anisotropy ratio
(1) according to curves of stress-strain relationship, the peak stress of each cylinder inclination angle sample under same confining pressure, the peak are determined
Value stress is compression strength;As shown in Figure 4, under a certain confining pressure, the sample peak stress that cylinder inclination angle is 90 ° is maximum, right
Answer compression strength maximum value σmax, the sample peak stress that cylinder inclination angle is 50 ° is minimum, corresponding compression strength minimum value σmin, most
Big value σmax, so that it is determined that anisotropy ratio A1, the A1=σ under the confining pressuremax/σmin;
(2) according to curves of stress-strain relationship, the straightway being chosen at before peak stress chooses two on straightway
Point seeks its slope, which is the elasticity modulus of sample;Correspondingly, in Fig. 4, under the confining pressure, maximum elastance EmaxIt takes
From the stress-strain diagram for the sample that cylinder inclination angle is 90 °, minimal elastic modulus EminIt is derived from the sample that cylinder inclination angle is 50 °
Stress-strain diagram determines anisotropy ratio A2, A2=E under the confining pressuremax/Emin;
(3) obtain different cylinder inclination angles sample after the anisotropy ratio under different confining pressures, can draw anisotropy ratio with
The change curve of confining pressure, such as Fig. 5.As can be seen that anisotropy ratio gradually tends to stable with the increase of confining pressure, it can by curve
It determines critical anisotropy ratio, and can determine and confining pressure C corresponding to critical anisotropy ratio0, C0Determination can be in column
Engineering safety construction in jointed rock mass provides directive significance.
Claims (9)
1. a kind of method for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, which is characterized in that including walking as follows
It is rapid:
Step 1, the prismatical joint rock mass sample at different cylinder inclination angles is established by finite element software;
Step 2, corresponding constitutive model is selected, and physical and mechanical parameter needed for assigning the constitutive model;
Step 3, the design conditions of the constitutive model are set and debug calculation procedure, carry out different cylinder inclination angles prismatical joint rock
Numerical simulation of body sample under the conditions of different confining pressures;
Step 4, the monitoring data in numerical simulation are extracted, prismatical joint rockmass anisotropy ratio is calculated.
2. the method according to claim 1 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, in step 1, with 10~15 ° of spaced set cylinder inclination angle between 0~90 °.
3. the method according to claim 1 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, in step 2, selects constitutive model of the strain softening model as prismatical joint rock mass in finite difference formulations software.
4. the method according to claim 3 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, in step 2, physical and mechanical parameter needed for the constitutive model includes: elasticity modulus, Poisson's ratio, cohesive strength, interior friction
Angle, tensile strength, severe and dilative angle.
5. the method according to claim 1 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, in step 3, the design conditions of the constitutive model include:
(1) initial confining pressure is set, confining pressure is applied to target value before being compressed axially;
(2) axially loaded to monitoring sample progress using finite difference formulations program, loading speed is set, and loading method is by strain
Load control;
(3) in finite difference iterative process, decide whether to stop according to the curves of stress-strain relationship variation of monitoring sample
Only calculate;
(4) sample for automatically controlling different cylinder inclination angles carries out numerical experimentation under different confining pressures.
6. the method according to claim 5 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, in the design conditions (3), the standard for stopping calculating is that the curves of stress-strain relationship for monitoring sample peak point occurs.
7. the method according to claim 5 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, in step 4, automatically extracts the axial strain and axial stress of each cylinder inclination angle sample under different confining pressures, draws same
The curves of stress-strain relationship of different cylinders inclination angle sample is obtained by monitoring the curves of stress-strain relationship under one confining pressure
The anisotropy ratio A1 determined under different confining pressures by compression strength the and anisotropy ratio A2 determined by elasticity modulus.
8. the method according to claim 7 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, the calculation formula of the anisotropy ratio A1 of the prismatical joint rock mass at different cylinders inclination angle under a certain confining pressure are as follows:
A1=σmax/σmin,
In formula, σmaxAnd σminThe maximum value and minimum value of the compression strength of different cylinders inclination angle sample respectively under the confining pressure.
9. the method according to claim 7 for determining prismatical joint rockmass anisotropy ratio based on numerical simulation, feature
It is, the calculation formula of the anisotropy ratio A2 of the prismatical joint rock mass at different cylinders inclination angle under a certain confining pressure are as follows:
A2=Emax/Emin,
In formula, EmaxAnd EminThe maximum value and minimum value of the elasticity modulus of different cylinder inclination angles sample respectively under the confining pressure;
Wherein, under a certain confining pressure different cylinder inclination angles sample elasticity modulus can according to sample elastic stage axial strain and correspondence
Axial stress determine.
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Cited By (3)
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CN110362914A (en) * | 2019-07-08 | 2019-10-22 | 四川农业大学 | A kind of irregular random generation method of prismatical joint network model |
CN113029782A (en) * | 2021-03-09 | 2021-06-25 | 辽宁科技大学 | Method for determining anisotropy of surrounding rock bedding structure of tunnel in mountainous area |
CN113435087A (en) * | 2021-06-24 | 2021-09-24 | 中铁二院工程集团有限责任公司 | Method for analyzing local stability of cave surrounding rock |
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Cited By (4)
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CN113029782A (en) * | 2021-03-09 | 2021-06-25 | 辽宁科技大学 | Method for determining anisotropy of surrounding rock bedding structure of tunnel in mountainous area |
CN113435087A (en) * | 2021-06-24 | 2021-09-24 | 中铁二院工程集团有限责任公司 | Method for analyzing local stability of cave surrounding rock |
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