CN104359771B - The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method - Google Patents
The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method Download PDFInfo
- Publication number
- CN104359771B CN104359771B CN201410526422.2A CN201410526422A CN104359771B CN 104359771 B CN104359771 B CN 104359771B CN 201410526422 A CN201410526422 A CN 201410526422A CN 104359771 B CN104359771 B CN 104359771B
- Authority
- CN
- China
- Prior art keywords
- friction
- peak value
- fractal dimension
- value angle
- structural
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Landscapes
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method, comprises the following steps: 1) rating test direction；2) Selection experiment structural plane and sample quantities；3) the peak value angle of friction φ of structural plane under the low normal stress of two-stage is obtained by direct shear test1i、φ2iWith residual friction angle φri；4) i-th rock mass discontinuity Fractal dimensions is obtainedi；5) fractal dimension of this group structural plane peak value angle of friction is determined, when the Fractal dimensions of this group m structural fece sample peak value angle of frictioniWhen extreme difference is less than meansigma methods 15%, described extreme difference is the difference of maxima and minima, averagesFractal dimension as this group structural plane peak value angle of friction.The principle of the invention is clear and definite, easy to operate, low cost, using effect are good, be convenient for engineer applied.
Description
Technical field
The invention belongs to field of engineering technology, the fractal dimension relating to rock mass discontinuity peak value angle of friction determines method, is suitable for
There is in the correlation engineering such as water conservancy, traffic, mining, geology, nuclear waste disposal, oil the rock mass discontinuity peak value of stress effect
The fractal dimension of angle of friction determines method.
Background technology
Before the present invention makes, the fractal dimension of rock mass discontinuity peak value angle of friction is not the most still had to determine method.Rock mass
Structural plane peak value angle of friction is the important parameter of engineering rock structural face Stability Assessment.Model knot under the conditions of different normal stresses
Structure face direct shear test shows, structural plane angle of friction presents nonlinear attenuation with the increase of normal stress, as shown in Figure 1.
Being shown by the result of the test of Fig. 1, when normal stress is less, peak value angle of friction is bigger；When normal stress is bigger, peak
Value angle of friction diminishes, and peak value angle of friction is referred to as the stress effect of rock mass discontinuity peak value angle of friction with the effect that normal stress changes
Should.In order to evaluate the stability of Slope Engineering Rock Mass structural plane, need the stress effect setting up peak value angle of friction with normal stress
Relation, just can calculate the rock mass discontinuity peak value angle of friction under the conditions of different normal stress.
Being shown by the result of the test in a large amount of model structure faces, the stress effect of rock mass discontinuity peak value angle of friction can be by formula
(1) shown in.
In formula, σnFor the normal stress of Practical Project rock mass discontinuity, σ1The test normal stress used by laboratory；For the peak value angle of friction of Practical Project rock mass discontinuity,The peak value angle of friction tested under stress condition for laboratory method,Residual friction angle for structural plane；DnFor the fractal dimension of structural plane peak value angle of friction stress effect, exterior syndrome structural plane friction
Angle is with the attenuation degree of normal stress.
From formula (1), the peak value angle of friction of rock mass discontinuity to be determined and the relation of normal stress, it is thus necessary to determine that knot
The Fractal dimensions of structure face peak value angle of friction stress effectn.Therefore, the fractal dimension of engineering rock mass peak value angle of friction determines that method is work
Key issue urgently to be resolved hurrily in journey.
Summary of the invention
In order to solve do not have the fractal dimension of rock mass discontinuity peak value angle of friction to determine method in prior art, the present invention provides
A kind of definite principle, easy to operate, low cost, using effect are good, it is simple to carries out the rock mass discontinuity peak value friction of engineer applied
The fractal dimension at angle determines method.
In order to solve the technical scheme that above-mentioned technical problem is proposed:
The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method, comprises the following steps:
1) rating test direction: rating test direction on selected engineering rock structural face；
2) Selection experiment structural plane and sample quantities: according to the scale of engineering rock structural face, selectes one group not with chi
The structural plane size of very little effect change, and selected structural plane is sampled processing；This group structural fece sample quantity of sampling quantity is
M, m are the natural number not less than 3；
3) the peak value angle of friction of structural plane under the conditions of every grade of normal stress is obtained by direct shear testAnd remnants
Angle of friction
Each sampling structure face is carried out direct shear test, and the normal stress of each structural fece sample takes two-stage, respectively σ1i=
0.25MPa、σ2i=0.5MPa, i are structural fece sample numbering, it is thus achieved that this sampling structure face peak value shearing resistance under the conditions of every grade of normal stress
Intensity τp1i、τp2iWith at normal stress σ1iResidual shear strength τ of=0.25MPar1i, then according to formula
Obtain the peak value angle of friction under the conditions of this structural plane difference normal stress With residual
Remaining angle of friction(residual friction angle under the conditions of different normal stresses is identical).
4) i-th rock mass discontinuity Fractal dimensions is obtainedi, according to formulaObtain fractal dimension
5) fractal dimension of this group structural plane peak value angle of friction is determinedWhen this group m structural fece sample peak value angle of friction
Fractal dimensionsiWhen extreme difference is less than meansigma methods 15%, described extreme difference is the difference of maxima and minima, averagesAs this group
The fractal dimension of structural plane peak value angle of friction.
Further, described step 5) in, when fractal dimension extreme difference is more than 15%, it is stepped up the structure interview of same size
Sample carries out direct shear test, until wherein there being the extreme difference fractal dimension meansigma methods 15% less than m selected sample of m sample
Time, take this group sample peak value angle of friction fractal dimension meansigma methods fractal dimension as this group structural plane peak value angle of friction.
The present invention compared with prior art, has the advantage that and is mainly reflected in: rock mass discontinuity peak value angle of friction
Fractal dimension determines that method has definite principle, simple to operate, low cost, using effect are good, has bigger implementary value and society
Can economic benefit.
Accompanying drawing explanation
Fig. 1 is the effective stress effect figure of structural plane peak value angle of friction.
Detailed description of the invention
The present invention will be further described below.
The determination method of the fractal dimension of a kind of rock mass discontinuity peak value angle of friction, comprises the following steps:
1) rating test direction: rating test direction on selected engineering rock structural face；
2) Selection experiment structural plane and sample quantities: according to the scale of engineering rock structural face, selectes one group not with chi
The structural plane size (usual scope is between 300mm × 300mm-1000mm × 1000mm) of very little effect change, and to selected chi
Very little structural plane is sampled processing；This group structural fece sample quantity of sampling quantity be m, m be the natural number not less than 3；
3) the peak value angle of friction of structural plane under two-stage normal direction stress condition is obtained by direct shear testAnd remnants
Angle of friction
Each sampling structure face is carried out direct shear test, and the normal stress of each structural fece sample takes two-stage, respectively σ1i=
0.25MPa、σ2i=0.5MPa, i are structural fece sample numbering, it is thus achieved that this sampling structure face peak value shearing resistance under two-stage normal direction stress condition
Intensity τp1i、τp2iWith at normal stress σ1iResidual shear strength τ of=0.25MPar1i, then according to formula
Obtain the peak value angle of friction under the conditions of this structural plane difference normal stress With residual
Remaining angle of friction(the same structure face residual friction angle under the conditions of different normal stresses is identical)；
4) i-th rock mass discontinuity Fractal dimensions is obtainedi, according to formulaObtain fractal dimension
5) fractal dimension of this group structural plane peak value angle of friction is determinedWhen this group m structural fece sample peak value angle of friction divides
Dimension DiWhen extreme difference is less than the 15% of meansigma methods, described extreme difference is the difference of maxima and minima, averagesAs this group
The fractal dimension of structural plane peak value angle of friction.
Further, described step 5) in, when fractal dimension extreme difference is more than 15%, it is stepped up the structure interview of same size
Sample carries out direct shear test, until wherein there being the extreme difference fractal dimension meansigma methods 15% less than m selected sample of m sample
Time, take this group sample peak value angle of friction fractal dimension meansigma methods fractal dimension as this group structural plane peak value angle of friction.
In the present embodiment, in order to obtain the fractal dimension of certain highway engineering edge slope structure face peak value angle of friction, use rock mass knot
The fractal dimension of structure face angle of friction determines method.
The fractal dimension of the rock mass discontinuity peak value angle of friction of the present embodiment determines method, and it determines that step is as follows:
1) rating test direction: rating test direction on selected engineering rock structural face；
2) Selection experiment structural plane and sample quantities: according to the scale of engineering rock structural face, selectes one group not with chi
The structural plane of very little effect change a size of 700mm, and the structural plane of selected size is sampled processing；This group structural fece sample
Number is 3.
3) the peak value angle of friction of structural plane under two-stage normal direction stress condition is obtained by direct shear testRub with remnants
Wipe angleEach structural fece sample carries out the direct shear test under two-stage normal direction stress condition, and two-stage normal stress is taken as σ respectively1i
=0.25MPa, σ2i=0.5MPa.Obtain shearing strength τ under two-stage normal direction stress conditionp1i、τp2iWith at normal stress σ1i=
Residual shear strength τ of 0.25MPar1i, then according to formulaObtain this structural plane two-stage normal direction stress condition
Under peak value angle of frictionAnd residual friction angleCalculate
As shown in table 1.
The peak value angle of friction of each structural plane of table 1And residual friction angle
4) i-th rock mass discontinuity Fractal dimensions is obtainedi.According to formulaFractal dimension can be obtained
The Fractal dimensions of each structural plane of table 2iAnd meansigma methods
5) fractal dimension of this group structural plane peak value angle of friction is determinedDividing of this group m structural fece sample peak value angle of friction
Dimension DiExtreme difference is the 13.8% of meansigma methods, during less than 15%, averagesRub as this group structural plane peak value
Wipe the fractal dimension at angle.
Claims (2)
1. the fractal dimension of a rock mass discontinuity peak value angle of friction determines method, it is characterised in that: described determine method include with
Lower step:
1) rating test direction: rating test direction on selected engineering rock structural face；
2) Selection experiment structural plane and sample quantities: according to the scale of engineering rock structural face, does not imitates with size for selected one group
The structural plane size that should change, and selected structural plane is sampled processing；This group structural fece sample quantity of sampling quantity is that m, m are
Natural number not less than 3；
3) by the peak value angle of friction of structural plane under the conditions of the direct shear test acquisition low normal stress of two-stageRub with remnants
Wipe angle
Each sampling structure face is carried out direct shear test, and the normal stress of each structural fece sample takes two-stage, respectively σ1i=
0.25MPa、σ2i=0.5MPa, i are structural fece sample numbering, it is thus achieved that this sampling structure face peak value shearing resistance under the conditions of every grade of normal stress
Intensity τp1i、τp2iWith at normal stress σ1iResidual shear strength τ of=0.25MPar1i, then according to formula
Obtain the peak value angle of friction under the conditions of this structural plane difference normal stress With residual
Remaining angle of friction
4) i-th rock mass discontinuity Fractal dimensions is obtainedi, according to formulaObtain fractal dimension
5) fractal dimension of this group structural plane peak value angle of friction is determinedPoint dimension when this group m structural fece sample peak value angle of friction
Number DiWhen extreme difference is less than meansigma methods 15%, described extreme difference is the difference of maxima and minima, averagesAs this group structure
The fractal dimension of face peak value angle of friction.
The fractal dimension of a kind of rock mass discontinuity peak value angle of friction the most as claimed in claim 1 determines method, it is characterised in that: institute
State step 5) in, when fractal dimension extreme difference is more than 15%, the structural fece sample being stepped up same size carries out direct shear test, directly
When being less than the fractal dimension meansigma methods 15% of m selected sample to the extreme difference wherein having m sample, take this group sample peak value and rub
Wipe the angle fractal dimension meansigma methods fractal dimension as this group structural plane peak value angle of friction.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410526422.2A CN104359771B (en) | 2014-10-08 | 2014-10-08 | The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410526422.2A CN104359771B (en) | 2014-10-08 | 2014-10-08 | The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN104359771A CN104359771A (en) | 2015-02-18 |
| CN104359771B true CN104359771B (en) | 2016-09-14 |
Family
ID=52527054
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201410526422.2A Active CN104359771B (en) | 2014-10-08 | 2014-10-08 | The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN104359771B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105606463B (en) * | 2016-02-01 | 2018-05-22 | 绍兴文理学院 | A kind of rock mass structural plane shearing strength integrated evaluating method based on middle intelligence function |
| CN113310823B (en) * | 2021-06-02 | 2022-04-12 | 中国科学院武汉岩土力学研究所 | Method for obtaining shear strength of structural surface |
Family Cites Families (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH1164202A (en) * | 1997-08-21 | 1999-03-05 | Fujita Corp | Method and device for testing shear strength |
| CN100395550C (en) * | 2005-01-12 | 2008-06-18 | 杜时贵 | Method for taking values of mechanical and hydraulic properties of rock mass structural plane |
| CN1815170A (en) * | 2006-02-24 | 2006-08-09 | 浙江建设职业技术学院 | Method for determining in dimension shear-strength size effect of rock structural face |
| CN1815171A (en) * | 2006-02-24 | 2006-08-09 | 浙江建设职业技术学院 | Models in different shape of rack structural face shear strength size effect |
-
2014
- 2014-10-08 CN CN201410526422.2A patent/CN104359771B/en active Active
Also Published As
| Publication number | Publication date |
|---|---|
| CN104359771A (en) | 2015-02-18 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN104237965B (en) | Shale oil resource evaluating method and device | |
| Jincheng et al. | Application of multi-well pad in unconventional oil and gas development in China | |
| Kuwano | Advanced laboratory stress-strain testing of geomaterials | |
| CN104359771B (en) | The fractal dimension of a kind of rock mass discontinuity peak value angle of friction determines method | |
| CN101847834A (en) | Reliability evaluation method of failure rate of small sample and zero-failure data part of power station | |
| Raza et al. | Impact of financial development, economic growth and energy consumption on environmental degradation: evidence from Pakistan | |
| Pells | Engineering Geology of the Sydney Region: Published on Behalf of the Australian Geomechanics Society | |
| CN104359772B (en) | The normal stress threshold value determination method of rock mass discontinuity peak value angle of friction | |
| CN104632150B (en) | The method that the offshore oilfield difference reasonable Liquid output of well group determines | |
| Ván et al. | Sensitivity analysis of GSI based mechanical characterization of rock mass | |
| CN105095658A (en) | Recognition method and system for fluctuation situation of hydrologic flow | |
| TW201129941A (en) | System and method for determining the environmental impact of a process | |
| CN104020035A (en) | Method for compiling fracture accelerated testing load spectrum. | |
| CN103323339B (en) | Grading method of size effect testing device set | |
| Seigel | A theory of fracture of materials and its application to geology | |
| CN101183058A (en) | Calculating machinery of T type cuniform spreading load application test sample key point data | |
| Winkelmann | The use of Response Surface Methodology for reliability estimation of aluminum silo subjected to wind load | |
| Keaton et al. | Selection of geotechnical parameters using the statistics of small samples | |
| Zhu et al. | Analysis of the MultiDetachment Structure in Micangshan Thrust Belt, Northern Sichuan Basin | |
| Liu et al. | Evaluation of Relations among Basic Mechanical Properties of Fly-Ash Concrete with Machine-Made Sand | |
| Yuan et al. | Rheological test and model analysis of Guangzhou Luogang soft soil | |
| Ganapathy et al. | Flood frequency analysis integrated with unprecedented flood samples and mixed probability distribution | |
| Jellah et al. | Water Injection Performance Calculations in Intisar 103A Oil Field, Libya | |
| 邢新亚 et al. | Characteristics and controlling factors of favorable reservoirs in braided channel crotch of low-permeability reservoir | |
| Tada et al. | Influence of Local Geology on In-situ Stress Variation in Singapore |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| EE01 | Entry into force of recordation of patent licensing contract |
Application publication date: 20150218 Assignee: Sinosteel Maanshan Institute of Mining Research Co., Ltd. Assignor: Shaoxing University Contract record no.: 2018330000011 Denomination of invention: Method for determining fractal dimension of peak frictional angles of rock mass structural surface Granted publication date: 20160914 License type: Common License Record date: 20180211 Application publication date: 20150218 Assignee: Zhejiang mountain and Sichuan Geological Environment Consulting Co., Ltd. Assignor: Shaoxing University Contract record no.: 2018330000010 Denomination of invention: Method for determining fractal dimension of peak frictional angles of rock mass structural surface Granted publication date: 20160914 License type: Common License Record date: 20180211 Application publication date: 20150218 Assignee: Beijing mining and metallurgy science and Technology Group Co., Ltd. Assignor: Shaoxing University Contract record no.: 2018330000013 Denomination of invention: Method for determining fractal dimension of peak frictional angles of rock mass structural surface Granted publication date: 20160914 License type: Common License Record date: 20180211 Application publication date: 20150218 Assignee: China Nonferrous Metals Industry Kunming survey design and Research Institute Co Ltd Assignor: Shaoxing University Contract record no.: 2018330000012 Denomination of invention: Method for determining fractal dimension of peak frictional angles of rock mass structural surface Granted publication date: 20160914 License type: Common License Record date: 20180211 |
|
| EE01 | Entry into force of recordation of patent licensing contract |