CN114611434A - Model construction method and system for embodying seepage characteristics of muck-improving foaming agent - Google Patents
Model construction method and system for embodying seepage characteristics of muck-improving foaming agent Download PDFInfo
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Abstract
The invention provides a model construction method and a system for embodying the seepage characteristics of a muck-improving foaming agent, which are used for obtaining the indoor seepage test result of muck-improving foam and obtaining the change rule of seepage speed under different foam invasion distances; establishing a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, and fully defining fluid exchange among pores according to the geometrical shape of local pores; and calibrating and adjusting macroscopic microscopic parameters by using discrete element software according to the change rule to obtain microscopic parameter relation models under different foam invasion distances, embedding the large-scale fluid flow pore scale grid model and the microscopic parameter relation models into the particle contact model, carrying out muck improvement foam permeation test simulation, simulating the permeation process of foam in muck, and obtaining the change rule of the seepage velocity under different foam invasion distances. The invention provides a theoretical basis for systematically developing the simulation and analysis of the time-varying behavior of the foam improved soil mechanics.
Description
Technical Field
The invention belongs to the technical field of discrete element model construction, and particularly relates to a model construction method and system for embodying the seepage characteristics of a muck-improving foaming agent.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
In underground traffic construction, the shield method is used as a fully-mechanized construction method in underground excavation construction, has high automation degree and high construction speed, can form a hole at one time, is not influenced by weather, and has wide application due to economic superiority. The shield machine type applied to urban subway construction at present is mainly an earth pressure balance type shield machine, and the principle of the shield machine is that the passive earth pressure in an excavation face notch ring and the active earth pressure outside an excavation face cutter head are kept balanced, so that earth and sand serving as a supporting medium are required to have good plastic flow property, and the tunneling efficiency is guaranteed. However, since general soil does not fully satisfy these characteristics, improvement of the soil residue is required.
The muck improvement is to inject a modifier into an excavation surface or a soil cabin through special equipment on a shield machine, and adjust the cut soil body into a plastic flowing state, wherein the improved muck has good plasticity, low permeability and small friction resistance, so that the shield tunneling is ensured to be smoothly carried out. The foaming agent is also called as a foaming agent, can reduce the surface tension of liquid, generates a large amount of uniform and stable foams, and is widely used as a soil modifier in the shield industry.
In recent years, a large amount of foaming agents for improving the muck in China are put on the market, but the existing products still have the defects of low foaming times, large application mixing amount and the like, so that related personnel perform a large amount of experiments to improve the foaming agents so as to achieve a better muck improving effect. Research shows that the higher the mixing degree of the foam and the soil body is, the better the improvement effect is, and the foam needs to be permeated in soil particles to a certain extent so as to be fully mixed with the soil body, and the tests are closely related to the permeation process of the foam in the muck. However, the inventor finds that most of the existing researches on the permeability of the foam improved soil are in the experimental analysis stage, the existing theoretical models and numerical methods are less related to the permeability in the foam permeation process, and a theoretical calculation model and a method with higher prediction reliability of the permeability of the foam improved soil are lacked, so that the simulation and analysis of the time-varying behavior of the foam improved soil mechanics are difficult to systematically develop, and the research needs to be perfected on the aspects of the theoretical models and the numerical analysis methods of the foam improved soil.
Disclosure of Invention
The invention provides a model construction method and a model construction system for reflecting the seepage characteristic of a muck-improving foaming agent, aiming at solving the problems, and provides a theoretical basis for systematically developing the simulation and analysis of the time-varying behavior of the foam-improving soil mechanics.
According to some embodiments, the invention adopts the following technical scheme:
a model construction method for embodying the seepage characteristics of a muck-improving foaming agent comprises the following steps:
obtaining indoor permeation test results of the muck-modified foam, and obtaining the change rule of the permeation speed under different foam invasion distances;
establishing a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, and fully defining fluid exchange among pores according to the geometrical shape of local pores;
calibrating and adjusting macroscopic microscopic parameters by using discrete element software according to the change rule to obtain microscopic parameter relation models under different foam invasion distances;
embedding a large-scale fluid flow pore size grid model and a microscopic parameter relation model into a particle contact model based on an indoor penetration test model, so as to realize the simulation of the seepage velocity of the muck-modified foam at different invasion distances;
and (3) simulating the penetration test of the muck-modified foam based on the indoor penetration test of the muck-modified foam and the model obtained after embedding, simulating the penetration process of the foam in the muck, and obtaining the change rule of the seepage speed under different foam invasion distances.
As an alternative embodiment, the indoor penetration test result of the muck-improving foam is to perform indoor penetration test of muck-improving foam on the muck to be improved and the foaming agent to be researched, and record the change rule of the seepage velocity of the muck-improving foam under different invasion distances by using an optical fiber sensor.
As an alternative embodiment, the specific process of triangulation by regular delaunay includes: and (3) popularizing the classical delaunay triangulation to weighting points, and adopting a regular delaunay triangulation, wherein the radius of the spheres is considered by weight, the edges and the faces of the Voronoi graph divided by the regular triangulation are completely contained in gaps among the spheres, and the edges and the faces of the regular Voronoi graph are straight lines and planes.
As an alternative embodiment, in the process of calibrating and adjusting the macroscopic microscopic parameters by using discrete element software, parameter fitting is respectively performed on each microscopic parameter under different foam invasion distances, so as to obtain the relationship between the improved muck macroscopic parameters and the discrete element model microscopic parameters, and further obtain the relationship function of the seepage velocity of the muck improved foam under different invasion distances.
As an alternative, the different intrusion distances are achieved by removing foam particles.
As an alternative, the seepage velocity is calculated by means of a modified darcy's law.
As an alternative implementation mode, in the process of simulating the permeation of the foam in the muck, the simulation result is compared with an indoor permeation test, the accuracy of the established model is judged through macro-micro parameters, and if the goodness of fit of the numerical simulation and the indoor test is smaller than a set value, the relation function of the seepage speed of the muck-modified foam at different invasion distances is represented again; otherwise, the parameters are finely adjusted to make the goodness of fit better.
A model building system for embodying the seepage characteristics of a muck-improving foaming agent comprises:
the test result acquisition module is configured to acquire indoor penetration test results of the muck-modified foam and obtain change rules of seepage speeds under different foam invasion distances;
the dividing module is configured to establish a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, and fully define fluid exchange among pores according to local pore geometric shapes;
the parameter adjusting module is configured to calibrate and adjust macroscopic microscopic parameters by using discrete element software according to the change rule to obtain microscopic parameter relation models under different foam invasion distances;
the model optimization module is configured to embed a large-scale fluid flow pore scale grid model and a microscopic parameter relation model into a particle contact model based on an indoor penetration test model, so that the simulation of the seepage velocity of the muck-modified foam at different invasion distances is realized;
and the simulation module is configured to simulate the penetration test of the muck-modified foam based on the model obtained after the indoor penetration test and embedding of the muck-modified foam, simulate the penetration process of the foam in the muck and obtain the change rule of the seepage speed under different foam invasion distances.
An electronic device comprising a memory and a processor and computer instructions stored on the memory and executed on the processor, the computer instructions, when executed by the processor, performing the steps of the above method.
A computer readable storage medium storing computer instructions which, when executed by a processor, perform the steps of the above method.
Compared with the prior art, the invention has the beneficial effects that:
(1) the method is based on the microscopic scale, develops the numerical simulation research of the seepage characteristics of the muck-improving foam under the condition of different foam invasion distances, explores the change of pore water pressure of different sections, and obtains the seepage speed calculated by the pore water pressure, thereby revealing the seepage mechanism of the muck-improving foaming agent, and perfecting the theoretical model and the numerical analysis method of the foam-improving soil.
(2) At present, most researches on the permeability of the foam improved soil stay in a test analysis stage, the existing theoretical model and numerical method relate to less permeability in the foam permeation process, and the seepage characteristics under different foam agent improvement conditions can be obtained by setting different improvement parameters, so that the foam improvement plan can be made to help, a theoretical calculation model and a method with higher reliability can be provided for predicting the permeability of the foam improved soil, and a theoretical basis is provided for systematically developing the simulation and analysis of the time-varying behavior of the foam improved soil mechanics.
In order to make the aforementioned and other objects, features and advantages of the present invention comprehensible, preferred embodiments accompanied with figures are described in detail below.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification, illustrate exemplary embodiments of the invention and together with the description serve to explain the invention and not to limit the invention.
FIG. 1 is a model building flow diagram of the present invention;
FIG. 2 is a diagram of a foam infiltration process simulated by the present invention;
FIG. 3 is a sand grading diagram used in an embodiment of the present invention;
FIG. 4 is a two-dimensional schematic of the model throat volume of the present invention;
FIG. 5 is a graph showing the seepage velocity as a function of invasion distance, which was tested and simulated by the examples of the present invention.
The specific implementation mode is as follows:
the invention is further described with reference to the following figures and examples.
It is to be understood that the following detailed description is exemplary and is intended to provide further explanation of the invention as claimed. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
A discrete element-finite volume method model construction method for embodying the seepage characteristics of a muck-improving foaming agent is shown in figure 1 and mainly comprises the following steps:
step 1: selecting the muck to be improved and a foaming agent for improving the muck, and carrying out an indoor permeation test of muck improved foam to obtain a change rule of seepage velocity under different foam invasion distances;
step 2: establishing a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, and fully defining fluid exchange among pores according to the geometrical shape of local pores;
and step 3: according to the change rule obtained in the step 1, discrete element software is utilized to carry out simulation of a muck improvement foam permeation test, and macroscopic mesoscopic parameters are calibrated and adjusted to obtain mesoscopic parameter relation models under different foam invasion distances;
and 4, step 4: embedding the models in the steps 2 and 3 into the existing particle contact model based on an indoor penetration test model, thereby realizing the simulation of the seepage velocity of the muck-improving foam at different invasion distances;
and 5: and (4) carrying out simulation of the muck modified foam permeation test based on the indoor permeation test of the muck modified foam and the model obtained in the step (4), simulating the permeation process of the foam in the muck, and obtaining the change rule of the seepage speed under different foam invasion distances.
The present invention will be described in further detail with reference to the accompanying drawings and specific embodiments.
(1) Developing an indoor penetration test of muck-modified foam
In this example, european quarts S80 sand was used, the gradation curve of the sand was as shown in fig. 2, sand graded in accordance with the test requirements was obtained by sieving, foam having a foam expansion ratio (FIR) of 15 was prepared by a foaming device, a laboratory test of improving foam infiltration into soil was carried out by an infiltration test device, and the graph of the change of the infiltration velocity with the intrusion distance obtained by the test was as shown in fig. 5 (solid line).
(2) And establishing a large-scale fluid flow pore scale grid model.
Establishing a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, popularizing classical Delaunay triangulation to weighting points, and adopting regular Delaunay triangulation, wherein the radius of a sphere is considered by weight; in contrast to classical delaunay triangulation, the edges and faces of regular triangulated Voronoi diagrams, which are straight lines and planes, where Γ and Θ represent the domains occupied by solids and fluids, respectively, and have Ω ═ Γ U Θ,
(Θ is also known as porosity).
The fluid exchange between pores is fully defined according to the local pore geometry, and the velocity function V of the particles is given by using the divergence theoremfThe relationship between the time derivative of (d) and the fluid velocity:
wherein the content of the first and second substances,
is thetaiN is directed perpendicularly to the outward direction
The unit vector, u is the fluid velocity and v is the velocity of the outer boundary.
Defining a fluid from a tetrahedron i to an adjacent tetrahedron j1To j4Flow flux qijObtaining:
(3) and obtaining a mesoscopic parameter relation model under different foam intrusion distances by using discrete element software.
According to the division of the pore network in step 2, an interpore gradient is introduced, defined as the pressure difference p between two connected tetrahedral unitsi-pjAnd correlation length LijThe ratio of. Being linear, qijAnd the gradient between pores can be represented by a local conductance factor g with ij scaleijRepresents:
similar to the Hagen-Poiseuille relationship, by introducing the throat
Hydraulic Radius (HR) and its cross-sectional area AijTo define gijThe shape of the throat is reflected by a dimensionless conductance factor alpha reflecting the shape of the throat (Hagen-Poussian for radii of
With a-1/2):
defining a Hydraulic Radius (HR)
HR, which is the ratio of throat volume (two-dimensional representation of throat volume is shown in FIG. 4) to solid-liquid interfacial area
Is recorded as:
wherein, using phiijDenotes ΘijVolume of (a) < gamma >ijTo represent
(the portion of the contour that contacts the sphere).
Wherein L isij，
And AijAre geometric quantities describing the geometry of the throat.
Based on macroscopic mechanical parameters under different invasion distances in the foam permeation process, the macroscopic and microscopic parameters are calibrated by continuously debugging the microscopic parameters in the numerical simulation, and finally the failure mode and the macroscopic mechanical parameters of the model are basically consistent with those of an indoor test.
(4) And carrying out simulation of a muck improvement foam permeation test.
Based on an indoor penetration test model, the models in the steps 2 and 3 are embedded into an existing particle contact model, different invasion distances of foam are realized by removing foam particles, so that the seepage velocity of the muck-improving foam at different invasion distances is simulated, a change curve graph of the seepage velocity along with the invasion distance obtained by simulation is shown in fig. 5 (a dotted line), and the change curve graph is compared with a test result to verify the correctness of the change relation of the seepage velocity of the muck-improving foam simulated by the model along with the invasion distance.
Total permeability k of foam invaded sandfDetermined by darcy's law:
where μ is a correction coefficient and Q is a flow rate (m)3S); x is the thickness of the foam penetrated sand (or the depth of foam penetration) (m); delta phifThe head difference (m) of the piezometric tube permeating the foam sand layer; a is the cross-sectional area of the cylinder in which the sand is located (m)2)。
The invention provides a discrete element-finite volume method model construction method for embodying the seepage characteristic of the muck-improving foaming agent, elaborates the construction process of the seepage model and the calibration method of microscopic parameters in detail according to test results, and verifies the correctness of the change relation of the muck-improving foaming seepage speed of the model along with the invasion distance through simulation. The above description is only for the purpose of helping to understand the method of the present invention and its core idea; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, it is not intended to limit the scope of the present invention, and it should be understood by those skilled in the art that various modifications and variations can be made without inventive efforts by those skilled in the art based on the technical solution of the present invention.
Claims (10)
1. A model construction method for embodying the seepage characteristics of a muck-improving foaming agent is characterized by comprising the following steps:
obtaining indoor permeation test results of the muck-modified foam, and obtaining the change rule of the permeation speed under different foam invasion distances;
establishing a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, and fully defining fluid exchange among pores according to the geometrical shape of local pores;
calibrating and adjusting macroscopic microscopic parameters by using discrete element software according to the change rule to obtain microscopic parameter relation models under different foam invasion distances;
based on an indoor penetration test model, embedding a large-scale fluid flow pore scale grid model and a meso-scale parameter relation model into a particle contact model to realize the simulation of the seepage velocity of the muck improving foam at different invasion distances;
and (3) simulating the penetration test of the muck-modified foam based on the indoor penetration test of the muck-modified foam and the model obtained after embedding, simulating the penetration process of the foam in the muck, and obtaining the change rule of the seepage speed under different foam invasion distances.
2. The method for constructing a model according to claim 1, wherein the result of the indoor penetration test of the improved muck foam is obtained by performing the indoor penetration test of the muck improved foam on the muck to be improved and the foam to be studied, and recording the change rule of the seepage velocity of the muck improved foam at different invasion distances by using the optical fiber sensor.
3. The model construction method for embodying the seepage characteristics of the muck-improving foaming agent as claimed in claim 1, wherein the specific process of triangulation by regular delaunay includes: and (3) popularizing the classical delaunay triangulation to weighting points, and adopting a regular delaunay triangulation, wherein the radius of the spheres is considered by weight, the edges and the faces of the Voronoi graph divided by the regular triangulation are completely contained in gaps among the spheres, and the edges and the faces of the regular Voronoi graph are straight lines and planes.
4. The model construction method for embodying the seepage characteristics of the muck-improving foaming agent, as claimed in claim 1, wherein in the process of calibrating and adjusting macro microscopic parameters by using discrete element software, parameter fitting is respectively performed on each microscopic parameter at different foam invasion distances to obtain the relationship between the improved muck macroscopic parameters and the discrete element model microscopic parameters, thereby obtaining the relationship function of the seepage velocity of the muck-improving foam at different invasion distances.
5. The method as claimed in claim 1, wherein the different invasion distances are achieved by removing foam particles.
6. The method for constructing the model representing the seepage characteristics of the muck-improving foaming agent as claimed in claim 1, wherein the seepage velocity is calculated by a modified Darcy's law.
7. The model construction method for embodying the seepage characteristics of the muck-improving foaming agent, as claimed in claim 1, wherein in the process of simulating the seepage of foam in muck, the simulation result is compared with an indoor seepage test, the accuracy of the constructed model is judged through macro-micro parameters, and if the goodness of fit of the numerical simulation and the indoor test is less than a set value, the relation function of the seepage speed of the muck-improving foam at different invasion distances is re-represented; otherwise, the parameters are finely adjusted to make the goodness of fit better.
8. A model building system for embodying the seepage characteristics of a muck-improving foaming agent is characterized by comprising the following components:
the test result acquisition module is configured to acquire indoor penetration test results of the muck-modified foam and obtain change rules of seepage speeds under different foam invasion distances;
the dividing module is configured to establish a large-scale fluid flow pore scale grid model through regular Delaunay triangulation, and fully define fluid exchange among pores according to local pore geometric shapes;
the parameter adjusting module is configured to calibrate and adjust macroscopic microscopic parameters by using discrete element software according to the change rule to obtain microscopic parameter relation models under different foam invasion distances;
the model optimization module is configured to embed a large-scale fluid flow pore scale grid model and a microscopic parameter relation model into a particle contact model based on an indoor penetration test model, so that the simulation of the seepage velocity of the muck-modified foam at different invasion distances is realized;
and the simulation module is configured to simulate the penetration test of the muck-improving foam based on the model obtained after the indoor penetration test and embedding of the muck-improving foam, simulate the penetration process of the foam in the muck and obtain the change rule of the seepage speed under different foam invasion distances.
9. An electronic device comprising a memory and a processor and computer instructions stored on the memory and executable on the processor, the computer instructions when executed by the processor performing the steps of the method of any one of claims 1 to 7.
10. A computer-readable storage medium storing computer instructions which, when executed by a processor, perform the steps of the method of any one of claims 1 to 7.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116698624A (en) * | 2023-07-20 | 2023-09-05 | 山东大学 | Test method and system for improving internal friction angle and cohesive force of soil by foam |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116698624A (en) * | 2023-07-20 | 2023-09-05 | 山东大学 | Test method and system for improving internal friction angle and cohesive force of soil by foam |
| CN116698624B (en) * | 2023-07-20 | 2024-05-31 | 山东大学 | Test method and system for improving internal friction angle and cohesive force of soil by foam |
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