CN110083893A - A kind of construction method and construction device of the regular porous medium geometrical model of two dimension - Google Patents
A kind of construction method and construction device of the regular porous medium geometrical model of two dimension Download PDFInfo
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- 238000010276 construction Methods 0.000 title claims abstract description 27
- 239000002245 particle Substances 0.000 claims abstract description 203
- 238000009826 distribution Methods 0.000 claims abstract description 27
- 230000015572 biosynthetic process Effects 0.000 claims description 17
- 239000008187 granular material Substances 0.000 claims description 15
- 238000004033 diameter control Methods 0.000 claims 1
- 238000000034 method Methods 0.000 abstract description 9
- 239000011148 porous material Substances 0.000 abstract description 5
- 230000001788 irregular Effects 0.000 abstract 1
- 238000011160 research Methods 0.000 description 3
- 239000003344 environmental pollutant Substances 0.000 description 2
- 231100000719 pollutant Toxicity 0.000 description 2
- 239000002689 soil Substances 0.000 description 2
- 238000012546 transfer Methods 0.000 description 2
- 241000208340 Araliaceae Species 0.000 description 1
- 235000005035 Panax pseudoginseng ssp. pseudoginseng Nutrition 0.000 description 1
- 235000003140 Panax quinquefolius Nutrition 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 238000003491 array Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000004590 computer program Methods 0.000 description 1
- 239000004567 concrete Substances 0.000 description 1
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- 230000007717 exclusion Effects 0.000 description 1
- 239000004744 fabric Substances 0.000 description 1
- 239000000835 fiber Substances 0.000 description 1
- 239000012530 fluid Substances 0.000 description 1
- 235000008434 ginseng Nutrition 0.000 description 1
- 238000003384 imaging method Methods 0.000 description 1
- 239000007791 liquid phase Substances 0.000 description 1
- 238000013508 migration Methods 0.000 description 1
- 230000005012 migration Effects 0.000 description 1
- 230000000877 morphologic effect Effects 0.000 description 1
- 239000005445 natural material Substances 0.000 description 1
- 239000000123 paper Substances 0.000 description 1
- 239000011435 rock Substances 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 239000000126 substance Substances 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 1
- 238000003911 water pollution Methods 0.000 description 1
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Abstract
The invention discloses a kind of construction methods of the regular porous medium geometrical model of two dimension, target component including determining porous media geometrical model, estimate object module amounts of particles, it is random to generate particle radius array, target central coordinate of circle is determined for particle, determines porosity and output model after determining target central coordinate of circle every time.In addition the invention also discloses a kind of construction devices of the regular porous medium geometrical model of two dimension, including target component determining module, amounts of particles to estimate module, radius array generation module, target central coordinate of circle determining module, porosity and determine output module.Methods and apparatus of the present invention can quickly generate granular size difference, position distribution at random and the porous media model with diversified irregular pore channel feature., amounts of particles biggish model smaller for target porosity, the present invention can more effectively generate target porous media model by excluding fixed target central coordinate of circle.
Description
Technical field
The present invention relates to porous media model reconstruct, and in particular to the construction method of the regular porous medium geometrical model of two dimension
And construction device.
Background technique
Porous media is the medium collectively constituted by solid particle skeleton and hole, and hole is for liquid phase or gaseous substance
Equal fluids flowing.Paper, fiber, soil, concrete, biological tissue in daily life etc. are all common porous medias, right
In the research of porous media internal structure and every field emphasis of interest.In underground water scientific domain, porous media
Reconstruct is the basis for carrying out seepage flow and the research of pollutant solute transfer, the pore structure of porous media, pore channel morphological feature
The migration of pollutant, mixing and reaction process are had a major impact, the porous media model ten being consistent with truth is reconstructed
Divide key.Currently, for conventional physics imaging method, although the porous media feature in natural material of rock and soil can be restored,
With high costs and operating difficulties can only obtain the lesser model of size；And the porous media model that existing numerical method generates
Particle randomness is poor and queueing discipline, form idealization are unfavorable for the complicated pore channel feature of reflection.
Summary of the invention
Goal of the invention: the purpose of the present invention is to provide a kind of construction method of the regular porous medium geometrical model of two dimension,
Produce the Two-dimensional Porous Medium model being made of rule particle random distribution.Another object of the present invention is to provide one kind
The construction device of the regular porous medium geometrical model of two dimension.
Technical solution: the present invention provides a kind of construction method of the regular porous medium geometrical model of two dimension, feature exists
In, comprising the following steps: (1) determine that the target component of porous media geometrical model, target component include: object module generation area
The length l and height h, mean particle radius in domainMinimum spacing d between particle radius distribution standard deviation σ, adjacent particlemin, mesh
Mark porosityThe porosity error range δ of permission；(2) according to target component, the pre- of object module amounts of particles is calculated
Valuation n；(3) under the limitation of mean particle radius and particle radius distribution standard deviation, random generate meets truncation log series model
Particle radius form particle radius array, the size of particle radius array and the discreet value of amounts of particles are equal, each particle
Radius corresponds to corresponding circular granular；(4) in the formation zone of object module, target central coordinate of circle is determined for each particle:
Each particle radius in particle radius array is travelled including (41)；(42) using one coordinate of generating random number as present granule
Radius corresponds to the central coordinate of circle of particle；(43) determine the distance between corresponding particle and adjacent particle: if corresponding particle with it is adjacent
The distance between particle is not less than the minimum spacing between adjacent particle, then central coordinate of circle is determined that the target center of circle of present granule is sat
Mark；Otherwise, step (42)-(43) are repeated, until determining the target central coordinate of circle of present granule；(5) the target center of circle is determined every time
After coordinate, model porosity is determined, if porosity exports porous media within the error range of target porosity
Model is as object module；Otherwise continue step (4)-(5).
Further, the discreet value n of object module amounts of particles is according to formula It calculates
It obtains.
Further, by the particle radius and mean particle radius of each particleControl errors particle radius be distributed
Within twice of standard deviation sigma.
Further, according to every in particle radius sequential navigation particle radius array from big to small in step (41)
One particle.
Further, target component further includes the predetermined value m that the first run generates coordinate quantity at random, random every time to generate coordinate
Afterwards, the coordinate quantity generated at random is determined: if, in subsequent random generation coordinate, being excluded beyond predetermined value m
Determining target central coordinate of circle.Help to improve model formation efficiency.
On the other hand, the present invention provides a kind of construction devices of the regular porous medium geometrical model of two dimension, comprising: target
Parameter determination module, for determining that the target component of porous media geometrical model, target component include: object module formation zone
Length l and height h, mean particle radiusMinimum spacing d between particle radius distribution standard deviation σ, adjacent particlemin, target
PorosityThe porosity error range δ of permission；Amounts of particles estimates module, for calculating target mould according to target component
The discreet value n of type amounts of particles；Radius array generation module, in mean particle radius and particle radius distribution standard deviation
It is random to generate the particle radius composition particle radius array for meeting truncation log series model, the size of particle radius array under limitation
Equal with the discreet value of amounts of particles, each particle radius corresponds to corresponding circular granular；Target central coordinate of circle determining module is used
In in the formation zone in object module, target central coordinate of circle is determined for each particle, which includes: to travel unit, is used for
Travel each particle radius in particle radius array；Random targets generation unit, for being made using one coordinate of generating random number
The central coordinate of circle of particle is corresponded to for present granule radius；Adjacent particle range estimation unit, for determine corresponding particle with it is adjacent
The distance between particle:, will if corresponding the distance between particle and adjacent particle are not less than the minimum spacing between adjacent particle
Central coordinate of circle determines the target central coordinate of circle of present granule；Porosity determines output module, for determining the target center of circle each
After coordinate, model porosity is determined, if porosity exports porous media within the error range of target porosity
Model is as object module.
Further, amounts of particles estimates module according to formulaCalculate target mould
The discreet value n of type amounts of particles.
Further, radius array generation module is by the particle radius and mean particle radius of each particleError control
System is within twice of particle radius distribution standard deviation σ.
Further, target central coordinate of circle determining module is when travelling particle radius array, according to particle radius from greatly to
Each particle in small sequential navigation particle radius array.
Further, target component further includes the predetermined value m that the first run generates coordinate quantity at random, and target central coordinate of circle determines
Module further includes random coordinates quantitative determination unit, is used for after random generation coordinate every time, to the number of coordinates generated at random
Amount is determined: if excluding fixed target central coordinate of circle in subsequent random generation coordinate beyond predetermined value m.
The utility model has the advantages that compared with prior art, method of the invention uses a kind of regular porous medium geometrical model of two dimension
Random generation method, the construction method is easy to operate, can control the size, spacing of Particles in Two Dimensions in model, and improves particle
Position distribution randomness.Using this method can it is quick, a large amount of reconstitutable particles are of different sizes, position distribution is random, pore character
Diversified porous media model facilitates the research of the underground water pollutions problem such as after flow and solute transfer.
Detailed description of the invention
Fig. 1 is the flow chart of the regular porous medium geometrical model building of two dimension of one embodiment of the invention；
Fig. 2 is the regular porous dielectric model particle radius distribution map of two dimension of one embodiment of the invention；
Fig. 3 is the regular porous media particle illustraton of model of two dimension of one embodiment of the invention；
Fig. 4 is the regular porous medium geometrical model construction device structural schematic diagram of two dimension of one embodiment of the invention.
Specific embodiment
The present invention is described further with reference to the accompanying drawings and examples:
As shown in Figure 1, the construction method of the regular porous medium geometrical model of two dimension disclosed by the invention, comprising:
(1) determine that the target component of porous media geometrical model, target component include: the length of object module formation zone
And height, the minimum spacing between the mean particle radius of particle, particle radius distribution standard deviation, adjacent particle, target porosity,
Porosity error range, the first run of permission generate the predetermined value of coordinate quantity at random.Set in the present embodiment: object module is raw
Length l at region is 0.07m, and height h is 0.04m, the mean particle radius of particleFor particle radius distribution standard deviation σ is
Minimum spacing d between 1.6E-4m, adjacent particleminFor 1.6E-4m, target porosityFor 0.45, the porosity error of permission
Range δ is 0.02；The predetermined value m that the first run generates central coordinate of circle quantity at random is 5,000 times.
(2) according to target component, the discreet value of object module amounts of particles is calculated；According to the target ginseng in step (1)
Numerical value passes through formulaThe discreet value n for calculating object module amounts of particles is 812.
(3) in mean particle radiusUnder limitation with particle radius distribution standard deviation σ, random generate meets truncation logarithm
The particle radius of distribution forms particle radius array, and the size of particle radius array and the discreet value of amounts of particles are equal, each
Particle radius corresponds to corresponding circular two-dimensional particle.The mean particle radius and particle radius distribution standard deviation of particle are to particle half
The limitation of diameter array embodies are as follows: by the particle radius and mean particle radius of each particleControl errors in particle radius point
Within twice of cloth standard deviation sigma, the excessive or too small situation of particle is avoided the occurrence of with this and is occurred.Accordingly, in the present embodiment
Grain radius is 4.8E-4m~11.2E-4m, generates 812 (i.e. particle radius arrays of particle radius at random in the range
Size is that 812), the particle radius of generation is ranked up according to sequence from big to small.Fig. 2 is the particle radius array generated
The distribution and its normal approach situation of middle particle radius, as seen from Figure 2, all particle radius sizes are in normal distribution substantially,
The feature being distributed with porous media particle radius in nature is consistent.
(4) in the formation zone of object module, determine target central coordinate of circle for each particle, according to the following steps into
Row: (41) are according to each particle radius in sequential navigation particle radius array from big to small；(42) using random number in mesh
The central coordinate of circle that a coordinate corresponds to particle as present granule radius is generated in mark region；(43) determine corresponding particle and adjacent
The distance between grain: if corresponding the distance between particle and adjacent particle will be justified not less than the minimum spacing between adjacent particle
Heart coordinate determines the target central coordinate of circle of present granule；Otherwise, step (42)-(43) are repeated, until determining the mesh of present granule
Mark central coordinate of circle.
(5) after determining target central coordinate of circle every time, model porosity is determined, if porosity is in target porosity
Within error range, then porous media model is exported as object module；Otherwise continue step (4)-(5).Porosity is set asPass through formulaIt calculates, wherein riRadius, s for i-th of particleiIt is i-th of particle beyond generation
Area, S outside region are to generate region area, siAccording to load particle and formation zone relative position classified calculating, when
Grain is fully located at s in formation zonei=0.
Every time after random generation central coordinate of circle, after generating coordinate at random every time, the coordinate quantity generated at random is carried out
Determine: if excluding fixed target central coordinate of circle then in subsequent random generation coordinate beyond predetermined value 5,000.
As shown in figure 3, dotted line region is target formation zone, first run target central coordinate of circle is carried out in formation zone
It determines, since target porosity is smaller, when the central coordinate of circle quantity generated at random reaches 5,000 time, 645 particles is completed
The distribution determination of 645 target central coordinate of circle (complete), porosity exceeds the value range 0.441- of target porosity
0.459, to improve model formation efficiency, in subsequent generating process, need to carry out exclusion operation before random generate.When
When completing 150 circular granular distributions (completing 795 circular granular distributions altogether) again, model porosity size instantly is
0.45328, in the value range in target porosity, according in the above process grains radius and respective coordinates generate
Two-dimensional Porous Medium geometrical model in Fig. 3.
As shown in figure 4, the regular porous medium geometrical model construction device of two dimension of the invention includes that target component determines mould
Block 401, amounts of particles estimate module 402, radius array generation module 403, target central coordinate of circle determining module 404, porosity
Determine output module 405.
Target component determining module 401 can determine target component: the length l and height of object module formation zone according to demand
Spend h, mean particle radiusMinimum spacing d between particle radius distribution standard deviation σ, adjacent particlemin, target porosityPermit
Perhaps porosity error range δ, the first run generate the predetermined value m of coordinate quantity at random；Amounts of particles estimates module 402, is used for root
According to target component, according to formula Calculate the discreet value n of object module amounts of particles.Half
Diameter array generation module 403, by the particle radius and mean particle radius of each particleControl errors particle radius be distributed
It is random to generate the particle radius composition particle radius array for meeting truncation log series model, each particle within twice of standard deviation sigma
Radius The size of particle radius array and the discreet value of amounts of particles are equal, and each particle and circular granular are one by one
It is corresponding.Target central coordinate of circle determining module 404, for determining target circle for each particle in the formation zone of object module
Heart coordinate, the unit include: to travel unit, and the unit is for the sequential navigation particle radius number according to particle radius from big to small
Each particle radius in group；Random targets generation unit, the unit is using one coordinate of generating random number as present granule half
Diameter corresponds to the central coordinate of circle of particle；Adjacent particle range estimation unit, the unit for determine corresponding particle and adjacent particle it
Between distance: if corresponding the distance between particle and adjacent particle sit the center of circle not less than the minimum spacing between adjacent particle
Mark the target central coordinate of circle for determining present granule；Random coordinates quantitative determination unit, the unit are used to sit in random generate every time
After mark, the coordinate quantity generated at random is determined: if, in subsequent random generation coordinate, being excluded beyond predetermined value m
Fixed target central coordinate of circle.Porosity determines output module 405, is used for after each determining target central coordinate of circle, to mould
Type hole porosity is determined, if porosity within the error range of target porosity, exports porous media model as mesh
Mark model.
In the present invention in claim the serial number of method and step not as the limitation to construction method execution sequence.The present invention
Disclosed embodiment also can be used that computer is available or the form of the computer program product on computer-readable medium, computer
Can use or computer readable storage medium have specific implementation in the medium for instruction execution system using or combine instruct
The computer that execution system uses can be used or readable program code.
Claims (10)
1. a kind of construction method of the regular porous medium geometrical model of two dimension, which comprises the following steps:
(1) determine that the target component of porous media geometrical model, the target component include: the length of object module formation zone
L and height h, mean particle radiusMinimum spacing d between particle radius distribution standard deviation σ, adjacent particlemin, target porosityThe porosity error range δ of permission；
(2) according to target component, the discreet value n of object module amounts of particles is calculated；
(3) under the limitation of mean particle radius and particle radius distribution standard deviation, random generate meets truncation log series model
Particle radius forms particle radius array, and the size of the particle radius array is equal with the discreet value of amounts of particles, and each
Grain radius corresponds to corresponding circular granular；
(4) in the formation zone of object module, target central coordinate of circle is determined for each particle: including
(41) each particle radius in particle radius array is travelled；
(42) central coordinate of circle of particle is corresponded to using one coordinate of generating random number as present granule radius；
(43) determine the distance between the corresponding particle and adjacent particle: if between the corresponding particle and adjacent particle away from
From not less than the minimum spacing between adjacent particle, then the central coordinate of circle is determined to the target central coordinate of circle of present granule；Otherwise,
Step (42)-(43) are repeated, until determining the target central coordinate of circle of present granule；
(5) after determining target central coordinate of circle every time, model porosity is determined, if porosity is in the error of target porosity
Within the scope of, then porous media model is exported as object module；Otherwise continue step (4)-(5).
2. construction method according to claim 1, it is characterised in that: according to formula
Calculate the discreet value n of object module amounts of particles.
3. construction method according to claim 1, it is characterised in that: by the particle radius of each particle and average grain half
DiameterControl errors within twice of particle radius distribution standard deviation σ.
4. construction method according to claim 1, it is characterised in that: in step (41) from big to small according to particle radius
Sequential navigation particle radius array in each particle.
5. construction method according to claim 1, it is characterised in that: the target component further includes that the first run generates seat at random
The predetermined value m of quantity is marked, every time after random generation coordinate, the coordinate quantity generated at random is determined: if beyond predetermined
Value m excludes fixed target central coordinate of circle then in subsequent random generation coordinate.
6. a kind of construction device of the regular porous medium geometrical model of two dimension characterized by comprising
Target component determining module, for determining that the target component of porous media geometrical model, the target component include: target
The length l and height h, mean particle radius of model formation zoneMinimum between particle radius distribution standard deviation σ, adjacent particle
Spacing dmin, target porosityThe porosity error range δ of permission；
Amounts of particles estimates module, for calculating the discreet value n of object module amounts of particles according to target component；
Radius array generation module, for being generated under the limitation of mean particle radius and particle radius distribution standard deviation at random
The particle radius for meeting truncation log series model forms particle radius array, the size of the particle radius array and amounts of particles
Discreet value is equal, and each particle radius corresponds to corresponding circular granular；
Target central coordinate of circle determining module, for determining that the target center of circle is sat for each particle in the formation zone of object module
Mark, which includes: to travel unit, for travelling each particle radius in particle radius array；Random targets generation unit,
For corresponding to the central coordinate of circle of particle using one coordinate of generating random number as present granule radius；Adjacent particle range estimation list
Member, for determining the distance between the corresponding particle and adjacent particle: if between the corresponding particle and adjacent particle away from
From not less than the minimum spacing between adjacent particle, then the central coordinate of circle is determined to the target central coordinate of circle of present granule；
Porosity determines output module, for determining model porosity, if hole after each determining target central coordinate of circle
Porosity then exports porous media model as object module within the error range of target porosity.
7. construction device according to claim 6, it is characterised in that: the amounts of particles estimates module according to formulaCalculate the discreet value n of object module amounts of particles.
8. construction device according to claim 6, it is characterised in that: the radius array generation module is by each particle
Particle radius and mean particle radiusControl errors within twice of particle radius distribution standard deviation σ.
9. construction device according to claim 6, it is characterised in that: the target central coordinate of circle determining module is being travelled
When grain radius array, according to each particle in the sequential navigation particle radius array of particle radius from big to small.
10. construction device according to claim 6, it is characterised in that: the target component further includes that the first run generates at random
The predetermined value m of coordinate quantity, target central coordinate of circle determining module further include random coordinates quantitative determination unit, for every time with
After machine generates coordinate, the coordinate quantity generated at random is determined: if being sat beyond predetermined value m in subsequent random generation
When mark, fixed target central coordinate of circle is excluded.
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| CN112668228A (en) * | 2021-01-05 | 2021-04-16 | 中国石油天然气股份有限公司 | Model construction method, device and equipment for two-dimensional porous medium and storage medium |
| CN112949213A (en) * | 2021-04-14 | 2021-06-11 | 南方科技大学 | Round filling type isotropic porous medium generation method based on machine learning |
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