CN107704682A - Method is described based on the spatial domain that probability is used for nucleic near field, far field migration is assessed - Google Patents

Method is described based on the spatial domain that probability is used for nucleic near field, far field migration is assessed Download PDF

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CN107704682A
CN107704682A CN201710919140.2A CN201710919140A CN107704682A CN 107704682 A CN107704682 A CN 107704682A CN 201710919140 A CN201710919140 A CN 201710919140A CN 107704682 A CN107704682 A CN 107704682A
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CN107704682B (en
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赵冬梅
刘涛
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Southwest University of Science and Technology
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Abstract

Method is described based on the spatial domain that probability is used for nucleic near field, far field migration is assessed the present invention relates to a kind of, methods described includes:The preliminary construction of spatial domain:Using near field, the far field space that nuclein migration is constructed based on convex polyhedron;The architectonic probability setting of spatial domain:According to the difference of geologic structure, the setting of relevant parameter is carried out to the spatial domain of different geologic structures respectively, wherein geologic structure is respectively divided into:Porous media class, close medium class, fluid class;The random generation of geologic structure inside spatial domain.

Description

Method is described based on the spatial domain that probability is used for nucleic near field, far field migration is assessed
Technical field
Method is described based on the spatial domain that probability is used for nucleic near field, far field migration is assessed the present invention relates to a kind of.
Background technology
Nuclear waste is from nuclear power station, national defense and military industry, core medical treatment etc., in particular to contains α, β and gamma-emitting Inconstant element is simultaneously accompanied by thermogenetic unusable material.By taking nuclear power station as an example, the year nuclear waste of 1000 megawatts of nuclear power stations In technetium -99 containing 10 kilograms of neptunium -237 and 20 kilograms, such as using layman allow receive in year radiation dose rate for mark It is accurate, then even if above-mentioned nuclear waste is stored 1,000,000 years, to be still higher by 30,000,000 times of acceptable dose.These nuclear wastes need to consume The natural resources of flood tide could meet that environmental requirement (if directly discharge, need to dilute neptunium -237, with 30,000,000 tons with 600,000,000 tons of water Water dilutes technetium).Nuclear waste into environment, can cause the pollution of water, air, soil etc. once revealing, then can be by various Approach enters the biosphere of human lives, eventually enters into human body, when radioactive radiation exceedes certain level, with regard to cell can be killed, Normal cell division and regeneration are hindered, causes the mutation of intracellular hereditary information, so as to cause various diseases, such as cancer Disease, cataract, blindness, growth retardation, fertility decline etc., it can also cause fetal anomaly, the hereditary effect such as miscarriage, death.
Cut-off 2012, China has had 15 nuclear reactors to put into operation, separately has 26 building, annual caused core Waste enormous amount, if nuclear waste can not be disposed properly safely, huge harmful effect will be produced to our people and society, Also the sound development of China's core cause can be restricted, to solve the useless handling problems of core increasingly closed on, China clearly proposes The year two thousand twenty builds up the useless disposal subterranean laboratory of core, and the year two thousand fifty builds up the useless underground disposal storehouse of core.Have the whole world in view, core from all parts of the world Power station produces the nuclear waste of about 1 ten thousand stere every year, and this is proposed for the safety of human society for the health of mankind itself Severe requirement.
In general, according to radioactive half life, nuclear waste can be divided into high-level waste and (such as uranium, partly decline Phase was typically used as unit using 10000 years), (such as strontium, caesium, half-life period are generally decades to middle low-level waste, and accounting is about all cores Waste 99%).The disposal of middle low-level waste typically uses shallow embedding (tens meters of depth), and the disposal of middle high-level waste is then one Global problem.The key problem of the useless disposal of core is how effectively to prevent, postpone nucleic and migrated from firming body to surrounding environment, The migration of nucleic refers to radionuclide in radioactive substance or radwaste from the outside movement of itself and package body, Its permanent security and its long-term influence on geological environment and biosphere have been to be concerned by more and more people and worried.
At present, most common nuclear waste disposal method is buried using geology such as common mine formula disposal storehouse, to be located at 300~1500 meters of depths;Deep drill, a underground disposal storehouse is dug such as in granite, then to build a few km depths in.Storehouse Structure include the natural cover for defense and engineering barrier, to prevent the radionuclide in waste from being leaked from packing material, but be difficult protect Card be not corroded up to up to a million years packaging materials, stratum does not change.
Core is useless typically to be deposited in backfilling material in the form of firming body, uses multiple engineering barrier (including glass solidification Body, tank body, backfilling material and host's country rock etc.) delay nucleic to be spread to surrounding, it is put into after disposal storehouse, nuclear waste may Because the reasons such as tank rupture, geologic event are oozed out from firming body, by near field (buffering backfilling material), then progressively to host Rock mass (mainly passing through underground water) spreads, and can then enter biosphere, soil, and current etc. and enclose diffusion to human lives.
The content of the invention
Migrated in order to solve the above technical problems, can relatively accurately portray nucleic it is an object of the invention to provide one kind Different medium characteristic encountered in process, at the same simplify the description difficulty of spatial domain based on probability be used for nucleic near field, The spatial domain that far field migration is assessed describes method.
The present invention describes method based on the spatial domain that probability is used for nucleic near field, far field migration is assessed, including:
The preliminary construction of spatial domain:Using near field, the far field space that nuclein migration is constructed based on convex polyhedron;
The architectonic probability setting of spatial domain:According to the difference of geologic structure, respectively to the sky of different geologic structures Between domain carry out the setting of relevant parameter, wherein geologic structure is respectively divided into:Porous media class, close medium class, fluid class;
The random generation of geologic structure inside spatial domain.
Further, the preliminary construction of spatial domain specifically includes:
All geologic structures in spatial domain are traveled through, wherein spatial domain refers to the nucleic of concern in researching nuclein migration All Probability Areas of migration, include near field and far field, a variety of geologic structures may be included in far field among these;Traversal refers to According to different geologic structures, region all in spatial domain is all covered, according to it, practically the enough differences in straight street are drawn Divide different geologic structure types;
Set the border of spatial domain, shape;
According to the spatial domain border of setting, the space body in generation grid domain;
Use the automatic packing space domain of convex polyhedron;
Generate spatial domain ground grid data file.
Further, porous media class includes:Buffer backfilling material, soil;Its relevant parameter includes:Porosity, nucleic Presence probability in adsorption rate, nucleic diffusion velocity, nucleic diffusion rate, density, discrete domain, 100% means in discrete domain Entirely this medium, 0% this means this medium is not present in discrete domain;
Close medium class includes:Rock;Its relevant parameter includes:Underground water exist the possible flow of probability, underground water, The possible diameter of lower water, the possible quantity of underground water;
Fluid media (medium) class includes:Large-scale subsurface flow, earth's surface river;Its relevant parameter includes:Large Underground river Flow, surface water volume flow.
Further, the random generation of the spatial domain inside geologic structure of porous media class:Will be all basic in discrete domain Convex polyhedron is numbered, each convex polyhedron generation unique number;A chained list is generated, deposits the numbering of convex polyhedron;Read Probability be present porous media, be multiplied by total convex multiaspect quantity M, obtain being not belonging to the convex polyhedron quantity N of porous media;Namely It is p that if this, which goes out probability existing for porous media, P span:0-100%, total discrete polyhedron quantity in the discrete domain For M, then the convex polyhedron quantity N=M* (1-p) that porous media is not belonging in the discrete domain can be calculated, N- is arrived according to 0 1, N number of altogether to be circulated successively, in circulation, circulation every time all generates the random integers J within a M at random, then sets The convex polyhedron that the number of delimiting the organizational structure is J is non porous media structure, after 0 to N-1 circulation terminates, preserve current porous media from Dissipate spatial data;
The random generation of geologic structure inside the spatial domain of close medium class:In this class nuclein migration medium, crack/ground Lower water must be through whole discrete domain, i.e. there must be an entrance and one outlet, in discrete domain, crack/underground water Minimum diameter be equal to the diameter of convex polyhedron, such discrete domain is it needs to be determined that an inlet face namely freestone source of waste are nearest That face, one or more exit faces, the random generation method of close medium class geologic structure specifically include:Determine inlet face with Exit face;Read presence probability, diameter and the flow of underground water;Random convex body entering as underground water is chosen in inlet face Mouthful;Judge whether the flowing random walk of current underground water reaches exit face, if so, then preserving the data of discrete domain;If it is not, Then randomly choose passage of the adjacent convex polyhedron in the currently selected rear end for selecting convex polyhedron as underground water;
The random generation of geologic structure inside the spatial domain of fluid media (medium) class:Read probability parameter;Calculate subterranean river Convex polyhedron diameter D;Entrance of the random point as subterranean river is chosen in inlet face;Judge fluid media (medium) flow path whether Exit face is reached, if reaching, preserves the data of discrete domain;If not up to, according to the convex polyhedron diameter D of subterranean river, Randomly choose passage of the adjacent convex polyhedron in rear end of current convex polyhedron set as subterranean river;
According to the flow provided, the convex polyhedron diameter D of subterranean river can be conversed, calculation formula is as follows:
In formula, Round is bracket function, and α is dilation coefficient, α >=1, FlBe setting subterranean river flow, FsIt is standard Reduced discharge according to actual conditions, it is necessary to set.
By such scheme, the present invention at least has advantages below:
1. pair near field, far field unified Modeling, nuclein migration near field, the simulation process of far field migration can be simplified.
2. without the boundary condition to transition process, primary condition is described and portrayed.
3. on the basis of effectively spatial domain is established, the result of nucleic long term migration can be accurately predicted.
Described above is only the general introduction of technical solution of the present invention, in order to better understand the technological means of the present invention, And can be practiced according to the content of specification, below with presently preferred embodiments of the present invention and coordinate accompanying drawing describe in detail as after.
Brief description of the drawings
Fig. 1 is spatial domain division flow chart;
Fig. 2 is the random product process figure of porous media geologic structure;
Fig. 3 is the random product process figure of close medium geologic structure;
Fig. 4 is the random product process figure of fluid geologic structure;
Fig. 5 is the rear end directional diagram of convex polyhedron;
Fig. 6 is the rear end directional diagram of subterranean river.
Embodiment
With reference to the accompanying drawings and examples, the embodiment of the present invention is described in further detail.Implement below Example is used to illustrate the present invention, but is not limited to the scope of the present invention.
Abbreviation and Key Term definition in the present invention:
Spatial domain:Refer in the present invention, the geographical space that nuclein migration may relate to (refers generally to the ground using earth's surface as boundary Lower space), subsurface flow, rock, rock fracture, soil, even waters (large area), hole may be included in the spatial domain Cave etc., these geographical features have direct and important influence for nuclein migration, in present patent application, using probability Its presence in particular space domain is described.
Near field:In nuclein migration problem, the buffering backfilling material that near field refers generally to around nuclear waste firming body is formed Region, for block last road artificial engineering barrier of the nucleic to external migration.
Far field:Refer to outside the artificial engineering barrier in last road (i.e. near field, buffering backfilling material), to the wide of human lives' circle Big subterranean zone (present invention is not related to propagation of the aerosol in air).
Porous media:It is as the common space occupied by multiphase material, and a kind of assembly that multiphase material coexists, does not have The part space for having solid skeletal is called hole, by liquid or gas or the gas-liquid two-phase unity of possession, relative to a wherein phase For, mutually all wherein, and using solid phase as solid skeletal, some cavities for forming void space are interconnected for disperse for other.
Nucleic:Original idea refers to a kind of atom with certain amount proton and certain amount neutron, refers in particular in the present invention The atom of nuclear waste element, it is however generally that, in the present invention, nuclear waste has equivalent concepts with nucleic, and difference is:Nuclear waste Background description is generally used for, belongs to macroscopic concept, nucleic is generally used for transition process description, belongs to microcosmic concept.
Convex polyhedron:Polyhedral any one side that extends is a plane, if remaining face claims all in the plane homonymy Be convex polyhedron.
Discrete domain:It is a collective concept, when complex space when discrete (such as hollow cylinder), can not often uses single One convex polyhedron is completed, therefore needs to use multiple convex polyhedrons discrete complex space, then, by these convex polyhedrons together Come, as a single discrete domain, can so avoid excessively complicated spatial spreading, and the setting of space attribute can be simplified (same coefficient setting can be shared by belonging to the convex polyhedron of a discrete domain).The concept of discrete domain belongs to the son of spatial domain Collection, it refers in particular to the spatial domain of a certain specific species migration medium, i.e., there may be multiple discrete domains in spatial domain.
The present invention, describe method using unified spatial domain and be modeled come the spatial domain that may pass through to nuclein migration, Take out a variety of geologic structures being likely encountered, using the presence probability of the wherein specific geologic structure of probability description, and build from Dissipate the random structure inside domain;, can be according to when into the specific geologic structure of random configuration after nucleic enters discrete domain The migratory behaviour of nucleic is described according to the transfer parameter and migration characteristic of specific geologic structure;No longer need to boundary condition, just Beginning condition etc. is described.
Embodiment
As shown in figure 1, the present embodiment describes method based on the spatial domain that probability is used for nucleic near field, far field migration is assessed, Including:
The preliminary construction of spatial domain;Spatial domain refers to being possible to in researching nuclein migration nuclein migration of concern Region, include near field and far field among these, a variety of geologic structures may be included in far field.Traversal is meant that according to difference Geologic structure, all region in spatial domain is all covered, according to it, practically the enough differences in straight street are different to divide Geologic structure type, such as:Porous media class, close medium class, fluid class;
The architectonic probability setting of spatial domain;
The random generation of geologic structure inside spatial domain.
Narration in detail individually below:
The preliminary construction of spatial domain:Nuclein migration is constructed based on using convex polyhedron (based on hexahedron, tetrahedron) Near field, far field space, the difference similar to the mesh generation in method one, but this division is:
According to the difference of geologic structure, the near field of nuclein migration, far field space domain are divided, for example, general near field uses Backfilling material is buffered, a total grid domain (complicated body can be made up of multiple small convex polyhedrons) can be divided into, it is outside Country rock can use a total grid domain, and then remaining possible migration region is divided further according to its address structure, this Sample just distinguishes geologic structure different in nuclein migration spatial domain;Different from the mesh generation in method one, here For mesh generation for adjacent mesh volume rate of change no requirement (NR), the shape no requirement (NR) for grid (must assure that minimum grid Composition body is convex polyhedron), for minimum, maximum mesh volume, size no requirement (NR);
This division does not possess strict mathematical meaning, can not be controlled the discrete of equation thereon in theory and ask Solution;
The foundation of this division is only geologic structure, rather than other factors.
The step needs manually to intervene with corresponding geologic structure data, could more accurately describe the structure of spatial domain Into.Wherein, geologic data can be obtained by means such as geological prospecting, drill hole samplings in theory.Flow chart is as shown in Figure 2.
The architectonic probability setting of spatial domain:The basis of this step is the result that the first step-spatial domain tentatively constructs, Carry out the setting of relevant parameter, including architectonic characteristic on the basis of this to different spatial domains respectively.
According to the difference of geologic structure, following a few classes can be generally divided into:
Porous media class:Such as buffer backfilling material, soil;
Close medium class:Such as rock;
Fluid class:Such as large-scale subsurface flow, earth's surface river.
According to the migration medium in each discrete domain, its parameter is set, for each class formation, the parameter that can be set It is as follows:
The setup parameter of the geologic structure of table 1
For every a kind of carry out parameter setting, relevant parameter is preserved.
The random generation of spatial domain internal migration medium:Four class formations are divided to illustrate the process generated at random respectively below:
(1) porous media class
The major parameter of porous media class is as shown in table 1, and existing probability means porous media in the discrete domain Volume accounting probability in whole discrete space, in units of the basic convex polyhedron for forming discrete domain, generate this at random The how empty dielectric distribution in region.The flow generated at random:
The random generation of geologic structure inside the spatial domain of porous media class:All basic convex polyhedrons in discrete domain are compiled Number, each convex polyhedron generation unique number;A chained list is generated, deposits the numbering of convex polyhedron;With reading porous media Probability be present, be multiplied by total convex multiaspect quantity M, obtain being not belonging to the convex polyhedron quantity N of porous media;Judge that i=0, N-1 are followed Whether ring is after end, if so, with then preserving discrete domain data;If so, the integer J within a M is generated at random;Numbering is J's Convex polyhedron is set as non porous media structure.
Using the random product process in Fig. 2, it can be ensured that the discrete domain of generation meets the porous media of setting discrete Presence probability in domain, when probability is 100%, then N=0, circulation can not be carried out, it is ensured that all convex polyhedron equal generations in discrete domain Table porous media.
(2) close medium class
Close medium refers mainly to rock type medium, and such dielectric structure is close, if there is no crack/crack, and ground Lower water, nucleic is difficult directly to migrate therefrom, therefore, for such medium, it is necessary to which the presence for describing crack/underground water is general Rate.In this class nuclein migration medium, crack/underground water must be through whole discrete domain, i.e. there must be an entrance and One outlet (multiple crack/underground water can share one outlet), in discrete domain, the minimum diameter of crack/underground water is equal to The diameter of convex polyhedron.Such discrete domain is it needs to be determined that inlet face (that nearest face of freestone source of waste), one or more Individual exit face (can not be equal with inlet face).The random product process of close medium class geologic structure is as shown in Figure 3.
The random generation of geologic structure inside the spatial domain of close medium class:In this class nuclein migration medium, crack/ground Lower water must be through whole discrete domain, i.e. there must be an entrance and one outlet, in discrete domain, crack/underground water Minimum diameter be equal to the diameter of convex polyhedron, such discrete domain is it needs to be determined that an inlet face namely freestone source of waste are nearest That face, one or more exit faces, the random generation method of close medium class geologic structure specifically include:Determine inlet face with Exit face;Read presence probability, diameter and the flow of underground water;Random convex body entering as underground water is chosen in inlet face Mouthful;Judge whether to reach exit face, if so, then preserving the data of discrete domain;If it is not, then randomly choose it is currently selected select it is convex more Passage of the adjacent convex polyhedron in rear end of face body as underground water.
" passage of the currently selected adjacent convex polyhedron in rear end for selecting convex polyhedron of random selection as underground water " in Fig. 4 In " rear end " be for groundwater flow direction, as shown in Figure 4., can be with by the direction Sexual behavior mode shown in Fig. 4 Ensure that this randomly descends aquaporin to reach exit face.
(3) fluid class
Fluid class is divided into ground end river and surface water, and surface water belongs to visible part, can Direct Modeling, stated without tired, ground Bottom river then belongs to invisible, different from crack/underground water, and ground end river discharge, flow velocity are much larger than underground water, for nucleic Acceleration is migrated.Similar with crack/underground water, ground end river must pass through whole discrete domain, i.e. there must be one Entrance and one outlet (multiple crack/underground water can share one outlet), such discrete domain it needs to be determined that inlet face (from That nearest face of nuclear waste source), one or more exit faces (can not be equal with inlet face).
The random generation of geologic structure inside the spatial domain of fluid media (medium) class:Read probability parameter;Calculate subterranean river Convex polyhedron diameter D;Entrance of the random point as subterranean river is chosen in inlet face;Judge whether to reach exit face, if reaching, Then preserve the data of discrete domain;If lordosis multiaspect not up to, is worked as according to the convex polyhedron diameter D of subterranean river, random selection Passage of the adjacent convex polyhedron in rear end of body set as subterranean river.
According to the flow provided, the convex polyhedron diameter D of subterranean river can be conversed, calculation formula is as follows:
In formula, Round is bracket function, and α is dilation coefficient, α >=1, FlBe setting subterranean river flow, FsIt is standard Reduced discharge according to actual conditions, it is necessary to set.
The random generating process of fluid class subterranean river is similar with crack/underground water of close medium class, flow chart such as Fig. 4 It is shown.
In Fig. 5 " according to width D, the adjacent convex polyhedron in rear end of current convex polyhedron set is randomly choosed as underground " rear end " in the passage in river " is for groundwater flow direction, as shown in Figure 6.
D continuous convex polyhedrons of the convex polyhedron reselection procedure of extreme direction i.e. after possible.
Described above is only the preferred embodiment of the present invention, is not intended to limit the invention, it is noted that for this skill For the those of ordinary skill in art field, without departing from the technical principles of the invention, can also make it is some improvement and Modification, these improvement and modification also should be regarded as protection scope of the present invention.

Claims (4)

1. a kind of describe method based on the spatial domain that probability is used for nucleic near field, far field migration is assessed, it is characterised in that including:
The preliminary construction of spatial domain:Using near field, the far field space that nuclein migration is constructed based on convex polyhedron;
The architectonic probability setting of spatial domain:According to the difference of geologic structure, respectively to the spatial domain of different geologic structures The setting of relevant parameter is carried out, wherein geologic structure is respectively divided into:Porous media class, close medium class, fluid class;
The random generation of geologic structure inside spatial domain.
2. according to claim 1 describe method based on the spatial domain that probability is used for nucleic near field, far field migration is assessed, its It is characterised by, the preliminary construction of spatial domain specifically includes:
All geologic structures in spatial domain are traveled through, wherein spatial domain refers to the nuclein migration of concern in researching nuclein migration All Probability Areas, include near field and far field among these, a variety of geologic structures may be included in far field;Traversal refer to according to Different geologic structures, region all in spatial domain is all covered, divided not according to the difference of its actual geologic structure Same geologic structure type;
Set the border of spatial domain, shape;
According to the spatial domain border of setting, the space body in generation grid domain;
Use the automatic packing space domain of convex polyhedron;
Generate the grid data file of spatial domain.
3. according to claim 2 describe method based on the spatial domain that probability is used for nucleic near field, far field migration is assessed, its It is characterised by,
Porous media class includes:Buffer backfilling material, soil;Its relevant parameter includes:Porosity, nucleic adsorption rate, nucleic expand The presence probability in speed, nucleic diffusion rate, density, discrete domain is dissipated, 100% means to be entirely this Jie in discrete domain Matter, 0% this means this medium is not present in discrete domain;
Close medium class includes:Rock;Its relevant parameter includes:The possible flow of probability, underground water, underground water be present in underground water The possible quantity of possible diameter, underground water;
Fluid media (medium) class includes:Large-scale subsurface flow, earth's surface river;Its relevant parameter includes:The flow in Large Underground river, The volume of surface water flow.
4. according to claim 1 describe method based on the spatial domain that probability is used for nucleic near field, far field migration is assessed, its It is characterised by,
The random generation of geologic structure inside the spatial domain of porous media class:All basic convex polyhedrons in discrete domain are numbered, Each convex polyhedron generates unique number;A chained list is generated, deposits the numbering of convex polyhedron;Exist with reading porous media Probability, total convex multiaspect quantity M is multiplied by, obtains being not belonging to the convex polyhedron quantity N of porous media;Even this goes out porous media and deposited Probability be p, p span:0-100%, total discrete polyhedron quantity is M in the discrete domain, then can calculate The convex polyhedron quantity N=M* (1-p) of porous media is not belonging into the discrete domain, N-1 is arrived according to 0, it is N number of altogether to carry out successively Circulation, in circulation, circulation every time all generates the random integers J within a M at random, then the convex multiaspect that setting numbering is J Body is non porous media structure, after 0 to N-1 circulation terminates, preserves the discrete space data of current porous media;
The random generation of geologic structure inside the spatial domain of close medium class:In this class nuclein migration medium, crack/underground water Whole discrete domain must be through, i.e. there must be an entrance and one outlet, in discrete domain, crack/underground water is most Minor diameter is equal to the diameter of convex polyhedron, and such discrete domain is it needs to be determined that of an inlet face namely freestone source of waste recently Face, one or more exit faces, the random generation method of close medium class geologic structure specifically include:Determine inlet face and outlet Face;Read presence probability, diameter and the flow of underground water;Entrance of the random convex body as underground water is chosen in inlet face;Sentence Whether the flowing random walk of disconnected current underground water reaches exit face, if so, then preserving the data of discrete domain;If it is not, then with Machine selects passage of the currently selected adjacent convex polyhedron in rear end for selecting convex polyhedron as underground water;
The random generation of geologic structure inside the spatial domain of fluid media (medium) class:Read probability parameter;Calculate the convex more of subterranean river Face body diameter D;Entrance of the random point as subterranean river is chosen in inlet face;Judge whether the flow path of fluid media (medium) reaches Exit face, if reaching, preserve the data of discrete domain;If not up to, according to the convex polyhedron diameter D of subterranean river, at random Select passage of the adjacent convex polyhedron in rear end of current convex polyhedron set as subterranean river;
According to the flow provided, the convex polyhedron diameter D of subterranean river can be conversed, calculation formula is as follows:
<mrow> <mi>D</mi> <mo>=</mo> <mi>R</mi> <mi>o</mi> <mi>u</mi> <mi>n</mi> <mi>d</mi> <mrow> <mo>(</mo> <mi>&amp;alpha;</mi> <mo>&amp;CenterDot;</mo> <mfrac> <msub> <mi>F</mi> <mi>l</mi> </msub> <msub> <mi>F</mi> <mi>s</mi> </msub> </mfrac> <mo>)</mo> </mrow> </mrow>
In formula, Round is bracket function, and α is dilation coefficient, α >=1, FlBe setting subterranean river flow, FsIt is standard conversion Flow according to actual conditions, it is necessary to set.
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CN114707337A (en) * 2022-04-12 2022-07-05 核工业北京地质研究院 Nuclide migration simulation method and nuclide migration simulation system in radioactive waste disposal process

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