CN107016619A - A kind of shear-zone permeability qualitative evaluating method based on fractal dimension - Google Patents
A kind of shear-zone permeability qualitative evaluating method based on fractal dimension Download PDFInfo
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- 238000000034 method Methods 0.000 title claims abstract description 26
- 230000035699 permeability Effects 0.000 title claims abstract description 26
- 239000002245 particle Substances 0.000 claims abstract description 26
- 238000011156 evaluation Methods 0.000 claims abstract description 11
- 239000004927 clay Substances 0.000 claims abstract description 8
- 239000011435 rock Substances 0.000 claims abstract description 8
- 235000013339 cereals Nutrition 0.000 claims description 10
- 238000003325 tomography Methods 0.000 claims description 9
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 6
- 239000000463 material Substances 0.000 claims description 4
- 239000002689 soil Substances 0.000 claims description 3
- 238000009825 accumulation Methods 0.000 claims description 2
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- 239000007787 solid Substances 0.000 claims description 2
- 238000011160 research Methods 0.000 abstract description 5
- 230000000694 effects Effects 0.000 description 3
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- 238000001764 infiltration Methods 0.000 description 2
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- 238000001556 precipitation Methods 0.000 description 1
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- 238000009738 saturating Methods 0.000 description 1
- 239000004575 stone Substances 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 238000010998 test method Methods 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
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Abstract
The invention discloses a kind of shear-zone permeability qualitative evaluating method based on fractal dimension, including：Using fault gouge sample particle particle diameter as object, M (r)/M and particle diameter r Linear Fit Chart is drawn；According to Linear Fit Chart, with reference to correlation formula, fitting formula is obtained；According to linear fit formula, fault gouge rock sample fractal dimension D is solved；According to the size of gained fractal dimension value, shear-zone clay content is judged, with this qualitative evaluation shear-zone permeability.The present invention is using fault gouge grain diameter as research object, and the infiltrative method for carrying out qualitative evaluation shear-zone by fractal dimension D is more novel and simple to operate, it is easy to practical application, and a kind of new method and thinking are provided for shear-zone permeability values.
Description
Technical field
The present invention relates to coal measures pressure-bearing shear-zone penetration study field, and in particular to a kind of tomography based on fractal dimension
Band permeability qualitative evaluating method.
Background technology
Tomography is as the defect sturcture in rock mass, in its influence with interior catalase, loose, cranny development, be coal seam and
The main path that the artesian aquifer that underlies is contacted.The permeability of fault belt rock is to characterize tomography watery and water guide
Property important indicator, while be also influence underground engineering in by seepage flow unstability trigger disaster accident important factor in order it
One, therefore most important is evaluated to permeability of fault.Use test method, the method behaviour mostly to permeability of fault evaluation at present
Make relatively complicated.
The present invention based on fault gouge be the extruding of two disk rocks when being moved repeatedly by tomography, fragmentation, friction, slip effect with
Underground water carries what the effect such as precipitation of material was formed, has contained the bulk information about fault movements and property, and state in recent years
Some scholar's research of the border country find that the fault gouge formed in different rock mediums and mechanical environment has different point dimensions, right
Permeability of fault carries out qualitative evaluation.
The content of the invention
1. the purpose of the present invention
In consideration of it, the present invention for permeability of fault evaluation method it is not enough there is provided it is a kind of more can qualitative evaluation tomography ooze
The method of permeability.
2. technical scheme
To achieve the above object, a kind of shear-zone permeability qualitative evaluating method based on fractal dimension of the present invention, the party
Method includes：Step A, using fault gouge sample particle particle diameter as object, draws M (r)/M and particle diameter r Linear Fit Chart；Step B,
According to Linear Fit Chart, with reference to correlation formula, fitting formula is obtained；Step C, according to linear fit formula, solves tomography mud stone
Sample fractal dimension D；Step D, according to the size of gained fractal dimension value, judges shear-zone clay content, with this qualitative evaluation shear-zone
Permeability.
The present invention carrys out the infiltration of qualitative evaluation shear-zone by fractal dimension D using fault gouge grain diameter as research object
The method of property is more novel and simple to operate, it is easy to practical application, and a kind of new method is provided for shear-zone permeability values
And thinking.
Brief description of the drawings
It, for further explanation of the present invention, is the part of the application to be used for the accompanying drawing that illustrates herein to be,
But the present invention can not be limited.
Fig. 1 is the shear-zone permeability qualitative evaluating method flow chart of the invention based on fractal dimension.
Fig. 2 is present example tomography M (r)/M and particle diameter r Linear Fit Chart.
Fig. 3 is present example fault gouge fractal dimension and thin particulate matter relation scatter diagram.
Specific embodiment
Below in conjunction with the accompanying drawings and the example applied of the present invention, the present invention is further described.
Fig. 1 is the shear-zone permeability qualitative evaluating method flow chart of the invention based on fractal dimension.As shown in figure 1, should
Method includes：
Step A, using fault gouge sample particle particle diameter as object, draws M (r)/M and particle diameter r Linear Fit Chart；
Step B, according to Linear Fit Chart, with reference to correlation formula, obtains fitting formula；
Step C, according to linear fit formula, solves fault gouge rock sample fractal dimension D；
Step D, according to the size of gained fractal dimension value, judges shear-zone clay content, is permeated with this qualitative evaluation shear-zone
Property.
Below in conjunction with instantiation, above-mentioned each step is explained.
Step A, using fault gouge sample particle particle diameter as object, draws M (r)/M and particle diameter r Linear Fit Chart.In this hair
In bright example, it is object according to certain fault gouge sample particle particle diameter, draws M (r)/M and particle diameter r Linear Fit Chart, see Fig. 2.
Step B, according to Linear Fit Chart, with reference to correlation formula, obtains fitting formula.
Fault gouge fractals principle：
Often shown in part and globality in terms of physical form, function, information and space-time structure in nature
Self-similarity, can dividing with a kind of consecutive variations non-integer based on Hausdorff-Besicovitch spaces in Fractals
Shape dimension (referred to as " point dimension ") D representation space dimensions, so as to generate the transformation for estimating sight, show for the complexity in research nature
As there is provided a kind of scientific method.Current Fractals method is in ground field by increasingly extensive application.
Fine-grained sediment distribution of particles statistically generally has certain self-similarity, referred to as statistical shape.Correspond to
Point dimension method description of some feature Fractals of the material grainses index of different type and property, can show on space dimensionality
Difference point dimension D：
LogN (r)=- Dlogr+C (1)
If the average grain diameter of sedimentary particle is r, the particulate accumulation quality that particle diameter is less than r is M (r), and M is the total matter of sample
Amount, rule of thumb, the relational expression with respect to accumulated quality M (r)/M and r often meets formula (2), i.e.,
Log (M (r)/M)=Blogr+A (2)
It is assumed that sedimentary particle density of solid is uniformly distributed, then granular mass is proportional to grain diameter cube, i.e. frequency
Increment and the increment relation of quality are：
Simultaneous (1)~(3) formula, can obtain：
(4) meaning of formula is：If the granularmetric composition of deposit truly has fractal characteristic, under log-log coordinate, it can obtain
To definite D values.It is a linear scale factor in formula to notice 3-D, thus when to some specific sample particle composition according to
Correlation analysis is carried out according to (4) formula, if linearly dependent coefficient is high, it is meant that sample particle fractal characteristic is obvious.
In present example, using certain fault belt fault gouge grain diameter as object (being shown in Table 1), existed according to (4) formula
Log-log coordinate system sets up Pc=M (r)/M and r linear fit relations, fits the equation of 5 curves, is respectively：
1. y=1.901+0.181x；2. y=1.892+0.175x；3. y=1.613+0.305x：
4. y=1.862+0.171x；5. y=1.885+0.108x
Step C, according to linear fit formula, solves fault gouge rock sample fractal dimension D.
In present example, according to step B, 5 linear fit formula, point dimension D for obtaining 5 samples is respectively 2.912,
2.863rd, 2.709,2.827 and 2.872, it is shown in Table 1.
Step D, according to the size of gained fractal dimension value, judges shear-zone clay content, is permeated with this qualitative evaluation shear-zone
Property.
(1)~(5) can be seen in comparison diagram 2, because particle diameter distribution right endpoint both corresponds to Pc=100%, therefore left end
Pc values (i.e. " clay content ") actually control straight slope；When clay content is more, straight slope relatively delays, i.e., 3-D is smaller,
Therefore D is naturally larger.Linear fit is made to the clay content and a point dimension of table 1, clay content and a point dimension D relation table can be obtained
Shown in (table 1) and scatter diagram (Fig. 3), in addition to No. 2 sample of certain tomography, its coefficient correlation of other 4 samples has reached R=
0.932.Illustrate that the native content of clay has direct ratio with fractal dimension, it is to characterize tomography chip clay content to embody fractal dimension
One exemplary parameter.
The relation table of certain the fault gouge fractal dimension of table 1 and thin particulate matter
Fractal porous media intrinsic permeability increases with fractal dimension D and reduces and obtained theoretical proof, when D tends to 3, oozes
Saturating rate tends to 0.Because certain tomography chip fractal dimension D is universal very big, naturally osmotic is weak.Clay content is in control detrital material
Key effect can be played in terms of transmissibility, reason is the combination water layer that particle surface electrostatic largely adsorbs polar water molecules formation
Action of Gravity Field is resisted, is difficult to transmit hydrostatic pressure, without mobility, causes cohesive soil that there is good water-resisting property, therefore compared with
High viscosity soil content is certain shear-zone permeability very low key reason.It is considered that universal just because of particle fractal dimension D
It is very high, therefore certain shear-zone permeability is necessarily very poor.
The present invention carrys out the infiltration of qualitative evaluation shear-zone by fractal dimension D using fault gouge grain diameter as research object
The method of property is more novel and simple to operate, it is easy to practical application, and a kind of new method is provided for shear-zone permeability values
And thinking.
Instantiation described above, to the purpose of the present invention, process and beneficial effect are described in detail, and are not used to limit
The restriction scope of the fixed present invention, all within the spiritual principles of the present invention, any modification, equivalent substitution for being made etc. all should be wrapped
It is contained within protection scope of the present invention.
Claims (3)
1. a kind of shear-zone permeability qualitative evaluating method based on fractal dimension, it is characterised in that this method includes：
Step A, using fault gouge sample particle particle diameter as object, draws M (r)/M and particle diameter r Linear Fit Chart；
Step B, according to Linear Fit Chart, with reference to correlation formula, obtains fitting formula；
Step C, according to linear fit formula, solves fault gouge rock sample fractal dimension D；
Step D, according to the size of gained fractal dimension value, judges shear-zone clay content, with this qualitative evaluation shear-zone permeability.
2. the shear-zone permeability qualitative evaluating method as claimed in claim 1 based on fractal dimension, it is characterised in that step
In B, according to Linear Fit Chart, with reference to correlation formula, fitting formula is obtained.Fine-grained sediment distribution of particles statistically generally has
There are certain self-similarity, referred to as statistical shape.Some features corresponding to different type and the material grainses index of property are used
Point dimension method description of Fractals, can show the difference point dimension D on space dimensionality：
LogN (r)=- Dlogr+C (1)
If the average grain diameter of sedimentary particle is r, the particulate accumulation quality that particle diameter is less than r is M (r), and M is sample gross mass, root
According to experience, the relational expression with respect to accumulated quality M (r)/M and r often meets formula (2), i.e.,
Log (M (r)/M)=Blogr+A (2)
It is assumed that sedimentary particle density of solid is uniformly distributed, then granular mass is proportional to the increment of grain diameter cube, i.e. frequency
Increment relation with quality is：
Simultaneous (1)~(3) formula, can obtain：
The present invention, using fault belt fault gouge grain diameter as object, Pc=is set up according to formula (4) in log-log coordinate system
M (r)/M and r linear fit relations, fit the equation of 5 curves.
3. the shear-zone permeability qualitative evaluating method as claimed in claim 1 based on fractal dimension, it is characterised in that step
In D, according to the size of gained fractal dimension value, shear-zone clay content is judged, with this qualitative evaluation shear-zone permeability.The present invention,
The combination water layer for largely adsorbing polar water molecules formation based on clay particle surface electrostatic resists Action of Gravity Field, is difficult to transmit hydrostatic
Pressure, without mobility, causes cohesive soil to have the mechanism of good water-resisting property, using clay content with fractal dimension D's
Proportional relationship, it is an exemplary parameter for characterizing tomography chip clay content to embody fractal dimension D.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109856377A (en) * | 2019-01-30 | 2019-06-07 | 中北大学 | The method that roadbase mixed coarse aggregate gradation is determined by crushing test |
| CN109883900A (en) * | 2019-01-30 | 2019-06-14 | 中北大学 | The method that single coarse aggregate determines the method for fractal dimension and determines aggregate grading |
| CN109883899A (en) * | 2019-01-30 | 2019-06-14 | 中北大学 | The method that mixed coarse aggregate crushing test determines fractal dimension |
-
2017
- 2017-04-26 CN CN201710282960.5A patent/CN107016619A/en active Pending
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109856377A (en) * | 2019-01-30 | 2019-06-07 | 中北大学 | The method that roadbase mixed coarse aggregate gradation is determined by crushing test |
| CN109883900A (en) * | 2019-01-30 | 2019-06-14 | 中北大学 | The method that single coarse aggregate determines the method for fractal dimension and determines aggregate grading |
| CN109883899A (en) * | 2019-01-30 | 2019-06-14 | 中北大学 | The method that mixed coarse aggregate crushing test determines fractal dimension |
| CN109856377B (en) * | 2019-01-30 | 2021-05-25 | 中北大学 | Method for determining gradation of mixed coarse aggregate for road base course by crushing test |
| CN109883899B (en) * | 2019-01-30 | 2021-05-25 | 中北大学 | Method for determining fractal dimension through mixed coarse aggregate crushing test |
| CN109883900B (en) * | 2019-01-30 | 2021-05-25 | 中北大学 | Method for determining fractal dimension of single coarse aggregate and method for determining aggregate gradation |
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Application publication date: 20170804 |