CN112417790B - Parameter optimization simulation method for grouting diffusion of high polymer material on back of steel panel - Google Patents
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Abstract
The invention discloses a parameter optimization simulation method for grouting diffusion of a high polymer material behind a steel panel, which comprises the following steps: establishing a high polymer fluid simulation three-dimensional model; setting parameters in the fluid during high polymer grouting; simulating and testing grouting diffusion lines by various factors; obtaining a comparison relation of each influence factor; the final diffusion density value of the polymer is obtained. The invention has the advantages that after the steel plate of the underground supporting structure is grouted, the high polymer can form a compact high polymer impermeable layer behind the steel panel, a rectangular cavity is formed behind the steel panel, the high polymer is filled in the rectangular cavity, the high polymer and the steel panel are bonded together to form a steel panel-high polymer composite material layer integrating supporting and impermeable, and meanwhile, on the opposite grouting surface, a water flushing port is formed at the lower side of the grouting port, so that the grouting process and grouting effect can be analyzed globally, and references are provided for impermeable of the underground assembly type structural engineering.
Description
Technical Field
The invention relates to the technical field of high polymer materials, in particular to a parameter optimization simulation method for grouting diffusion of a high polymer material behind a steel panel.
Technical Field
In recent years, the construction of water conservancy infrastructure in China has achieved a great deal of attention. The total length of the existing embankment reaches 41 ten thousand kilometers, and 9.8 ten thousand reservoirs are important components in the flood control and disaster reduction field of China, however, the embankment is long in construction history, is formed by increasing the thickness of the embankment for many years, has insufficient construction quality, has a plurality of hidden dangers and complicated geological conditions, and is frequent in dangerous cases in flood season. In the same way, in the established reservoirs, the risk rate reaches 57.1%, and most small and medium-sized risk reservoirs are required to be subjected to seepage prevention reinforcement. Once the water conservancy facilities are in accident, the influence is great, and the life and property safety of people is seriously threatened. Therefore, there is an urgent need to improve the level of anti-seepage reinforcement technology and equipment for water conservancy infrastructure.
The existing anti-seepage reinforcement technology comprises a concrete anti-seepage wall, a cement-soil mixing pile, a high-pressure jet grouting technology and the like, however, the common problems of the technologies comprise large disturbance damage to a dam, long construction period, insufficient efficiency, huge equipment construction inconvenience, overlarge wall thickness and the like, so that the further application of the technology is limited. On the other hand, grouting materials such as cement paste, cement clay slurry, superfine cement slurry and other modified cement slurries are main materials in various engineering practices at present. However, the defects of long coagulation time, easy segregation, bleeding shrinkage cracking, high rigidity and the like limit the further application of the composite material. Chemical grouting is developed on the basis of suspension grouting. The chemical slurry mainly comprises water glass, acrylamide, lignin, epoxy resin, chromium lignin, urea resin and the like. However, the materials have poor consolidation effect with soil, insufficient impermeability and poor durability of consolidated bodies, can produce certain pollution to the environment, and also influence the impermeable reinforcement effect of the materials on the dykes and dams.
Disclosure of Invention
In view of the defects of the prior art, the invention aims to provide a parameter optimization simulation method for grouting diffusion of a high polymer material behind a steel panel, grouting is carried out after an underground supporting structural steel plate, the high polymer can form a compact high polymer impermeable layer behind the steel panel, a rectangular cavity is formed behind the steel panel, the high polymer is filled in the rectangular cavity, the high polymer and the steel panel are bonded together to form a steel panel-high polymer composite material layer integrating support and impermeable, meanwhile, a water flushing port can be assumed to exist at the position of the lower side of a grouting port on the opposite side of grouting, so that the grouting process and grouting effect can be analyzed globally, and reference is provided for impermeable of underground assembly structural engineering.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows:
A parametric optimization simulation method for grouting diffusion of a high polymer material behind a steel panel, the simulation method comprising:
Establishing a high polymer fluid simulation three-dimensional model;
Setting parameters in the fluid during high polymer grouting;
Simulating and testing grouting diffusion lines by various factors;
obtaining a comparison relation of each influence factor;
the final diffusion density value of the polymer is obtained.
The factors include grouting time, grouting amount, grouting aperture, grouting pressure and running water speed.
The grouting time and the grouting amount refer to that the expansion force of the high polymer is small in the grouting process of the first 10s, and the high polymer is mainly in a diffusion mode; the diffusion distance of the polymer grouting increases faster in the first 3s, and the diffusion speed of the polymer gradually decreases after 3s, which is related to the change of the viscosity of the polymer with time; the density of the high polymer at the front 9s is not changed greatly, the density at the beginning of grouting is 1.1g/cm < 3 >, and the density change of the high polymer meets the change requirements of the expansion and time of the high polymer.
The grouting aperture is a state in which the maximum diffusion distance gradually increases and finally becomes stable as the grouting aperture gradually increases from 5mm to 25 mm; aiming at the increase of the grouting aperture, the method can be described in terms of a flow section, grouting amount and flow velocity, the grouting time is unchanged, the cross section of a high polymer grouting hole is increased along with the increase of the grouting aperture, because the simulation is to control the grouting pressure unchanged, the flow of the high polymer grouting in the cross section is reduced along with the increase of the grouting aperture, and the product of the flow and the flow is equal to the grouting amount; the influence of the grouting aperture on the diffusion radius is gradually reduced, the slope of the curve is reduced to be gentle, and the small grouting holes are adopted, so that the leakage or the blocking nearby the grouting holes can be reduced, and the precise grouting is achieved.
The grouting pressure is that grouting pressure is increased, grouting amount is also indirectly increased, the grouting amount is increased in a linear relation with the grouting pressure, the maximum diffusion distance is in a high-order relation with the grouting amount, and the maximum diffusion distance is slowly increased and gradually becomes stable when the grouting pressure is increased to a certain stage; under the condition of a certain grouting amount, the proper grouting pressure can achieve the grouting effect, meanwhile, the grouting pressure also indirectly influences the grouting speed, and under the condition of a constant grouting aperture, the larger the grouting pressure is, the larger the grouting speed is.
The flowing water speed is grouting under the flowing water condition behind the steel panel, the maximum diffusion distance of the polymer behind the steel panel gradually becomes smaller along with the increase of the reverse water speed, and the maximum diffusion distance is reduced faster when the flowing water speed is increased from 0.1m/s to 0.2m/s, and the grouting speed of the polymer slurry is greatly related to the opposite flushing of the water flow speed; if the grouting speed of the high polymer is high, part of water flow speed can be counteracted, and the high polymer is not mutually soluble with water; when the water flow rate was gradually increased from 0.2m/s to 0.5m/s, the magnitude of decrease in the maximum diffusion distance grouting of the polymer was gradually decreased.
It should be further described that, establishing a high polymer grouting process parameter optimization model, and establishing a mathematical relationship between the grouting process parameter and the maximum diffusion distance of the high polymer by using a response surface method, wherein the response surface of the second order regression mode can be
Where k represents the number of independent variables, and may represent the number of relevant grouting parameter choices in the polymer grouting process, it may be assumed that the number of tests is n, and then the second-order response surface model around the diffusion distance may be represented as a matrix:
y＝xβ+ε
In the above formula: y= [ y 1 y2 … yn]T ] represents the grouting amount,
The independent matrix function representing the polymer grouting, epsilon= [ epsilon 1 ε2 … εn]T ] represents an n×1 error vector, beta= [ beta 0 β1 … βn ] represents a regression coefficient vector, and the sample data of beta can be obtained by an experimental design and can be obtained by a flat method, so that the following formula is obtained.
β＝(xTx)-1xTy。
It should be further noted that, for the response surface model of the polymer grouting process parameter, in terms of error analysis, random error, model error and regression error are mainly involved, and the three errors are respectively expressed in the form of square sums, and the square sum of random error SS E is expressed as:
SSE＝yTy-βTxTy
Regression error SS R can be expressed as:
the sum of squares of total deviation SS y is expressed as:
The response surface model of the parameter set aiming at the polymer grouting generally needs to be detected by using a multiple fitting coefficient R 2 and a modified multiple fitting R 2 adj, and can establish a multi-aspect analysis of variance data table, and the detection method of the two can be obtained by the following formula:
R2＝SSR/SSy＝1-SSE/SSy
The coefficient R 2 for multiple fitting can represent a response surface model of complete fitting of the high polymer grouting process parameters, and in a variation range between [0,1], a better numerical value is required to be more than 0.9 for approximating R 2 in general, so that the fitting surface is good, and according to the advantages of the aspect, the response surface of the high polymer grouting parameters can better approximate to a data point, and then the value of R 2 adj is close to 1; suitability of the response surface model of the high polymer grouting parameters can also be detected through F statistics, and can be calculated by the following formula:
If the significant level value alpha can be given, the value can be generally 0.05 or 0.01, and if F > F a(k,n-k-1), the fitting effect of the response surface in the high polymer grouting process can be shown to be good, and the regression is significant.
The invention has the beneficial effects that:
(1) And programming the law of the change of the density of the high polymer along with time through a UDF module, and importing numerical calculation software to obtain the actual situation of the expansion and flow diffusion of the high polymer.
(2) Based on ANASYS Fluent, a high polymer grouting fluid model is established, the maximum diffusion distance of the high polymer behind the steel panel is tracked by adopting a VOF model and a PISO algorithm, and the grouting fluid model taking the action of gravity into consideration is established.
(3) The influence relation of grouting quantity, grouting time, thickness of a rear cavity of a steel plate, grouting pressure, grouting aperture, water movement (water inversion) speed and maximum diffusion distance of a steel panel is researched, so that the positive correlation relation of grouting quantity, grouting pressure, grouting aperture and maximum diffusion distance is obtained, the water movement (water inversion) speed and maximum diffusion distance are in an opposite correlation relation, and the final diffusion density of the polymer is 0.25g/cm < 3 > to 0.35g/cm < 3 >.
(4) A response curved surface model taking the maximum diffusion distance of high polymer grouting as a dependent variable is established, a quaternary quadratic regression orthogonal equation is obtained, and the influence sequence of several critical grouting parameters is researched and analyzed: the high polymer grouting amount > the hydrodynamic (reverse water) speed > the grouting aperture > the grouting pressure, and the diffusion rule of the high polymer is compared with the diffusion rule of the three-dimensional visualized crack slab cavity experimental platform, and the numerical calculation is matched with the experimental result.
Drawings
FIG. 1 is a maximum diffusion distance simulation, with the maximum diffusion distance l max being the diffusion distance d 1、d2、d3、d4 in four directions;
FIG. 2 is a schematic diagram showing the comparison of the actual grouting amount with the original grouting amount;
fig. 3 considers the influence of the grouting amount and grouting time on the diffusion distance, wherein when the grouting amount is 120g, as shown in fig. 3 (a), when the grouting amount is 260g, as shown in fig. 3 (b), and when the grouting amount is 400g, as shown in fig. 3 (c);
FIG. 4 is a graph showing the effect of the grouting aperture on the maximum diffusion distance, wherein the effect relationship is shown in FIG. 4 (a) when the grouting amount is 120g, the effect relationship is shown in FIG. 4 (b) when the grouting amount is 260g, and the effect relationship is shown in FIG. 4 (c) when the grouting amount is 400 g;
FIG. 5 is a graph showing the effect of the grouting pressure on the maximum diffusion distance, wherein the effect relationship is shown in FIG. 5 (a) when the grouting amount is 120g, the effect relationship is shown in FIG. 5 (b) when the grouting amount is 260g, and the effect relationship is shown in FIG. 5 (c) when the grouting amount is 400 g;
Fig. 6 shows the influence of the running water velocity on the maximum diffusion distance, wherein the influence relationship is shown in fig. 6 (a) when the grouting amount is 120g, the influence relationship is shown in fig. 6 (b) when the grouting amount is 260g, and the influence relationship is shown in fig. 6 (c) when the grouting amount is 400 g.
DETAILED DESCRIPTION OF EMBODIMENT (S) OF INVENTION
The present invention will be further described with reference to the accompanying drawings, and it should be noted that, while the present embodiment provides a detailed implementation and a specific operation process on the premise of the present technical solution, the protection scope of the present invention is not limited to the present embodiment.
The invention relates to a parameter optimization simulation method for grouting diffusion of a high polymer material behind a steel panel, which comprises the following steps:
Establishing a high polymer fluid simulation three-dimensional model;
Setting parameters in the fluid during high polymer grouting;
Simulating and testing grouting diffusion lines by various factors;
obtaining a comparison relation of each influence factor;
the final diffusion density value of the polymer is obtained.
The factors include grouting time, grouting amount, grouting aperture, grouting pressure and running water speed.
The grouting time and the grouting amount refer to that the expansion force of the high polymer is small in the grouting process of the first 10s, and the high polymer is mainly in a diffusion mode; the diffusion distance of the polymer grouting increases faster in the first 3s, and the diffusion speed of the polymer gradually decreases after 3s, which is related to the change of the viscosity of the polymer with time; the density of the high polymer at the front 9s is not changed greatly, the density at the beginning of grouting is 1.1g/cm < 3 >, and the density change of the high polymer meets the change requirements of the expansion and time of the high polymer.
The grouting aperture is a state in which the maximum diffusion distance gradually increases and finally becomes stable as the grouting aperture gradually increases from 5mm to 25 mm; aiming at the increase of the grouting aperture, the method can be described in terms of a flow section, grouting amount and flow velocity, the grouting time is unchanged, the cross section of a high polymer grouting hole is increased along with the increase of the grouting aperture, because the simulation is to control the grouting pressure unchanged, the flow of the high polymer grouting in the cross section is reduced along with the increase of the grouting aperture, and the product of the flow and the flow is equal to the grouting amount; the influence of the grouting aperture on the diffusion radius is gradually reduced, the slope of the curve is reduced to be gentle, and the small grouting holes are adopted, so that the leakage or the blocking nearby the grouting holes can be reduced, and the precise grouting is achieved.
The grouting pressure is that grouting pressure is increased, grouting amount is also indirectly increased, the grouting amount is increased in a linear relation with the grouting pressure, the maximum diffusion distance is in a high-order relation with the grouting amount, and the maximum diffusion distance is slowly increased and gradually becomes stable when the grouting pressure is increased to a certain stage; under the condition of a certain grouting amount, the proper grouting pressure can achieve the grouting effect, meanwhile, the grouting pressure also indirectly influences the grouting speed, and under the condition of a constant grouting aperture, the larger the grouting pressure is, the larger the grouting speed is.
The flowing water speed is grouting under the flowing water condition behind the steel panel, the maximum diffusion distance of the polymer behind the steel panel gradually becomes smaller along with the increase of the reverse water speed, and the maximum diffusion distance is reduced faster when the flowing water speed is increased from 0.1m/s to 0.2m/s, and the grouting speed of the polymer slurry is greatly related to the opposite flushing of the water flow speed; if the grouting speed of the high polymer is high, part of water flow speed can be counteracted, and the high polymer is not mutually soluble with water; when the water flow rate was gradually increased from 0.2m/s to 0.5m/s, the magnitude of decrease in the maximum diffusion distance grouting of the polymer was gradually decreased.
It should be further described that, establishing a high polymer grouting process parameter optimization model, and establishing a mathematical relationship between the grouting process parameter and the maximum diffusion distance of the high polymer by using a response surface method, wherein the response surface of the second order regression mode can be
Where k represents the number of independent variables, and may represent the number of relevant grouting parameter choices in the polymer grouting process, it may be assumed that the number of tests is n, and then the second-order response surface model around the diffusion distance may be represented as a matrix:
y＝xβ+ε
In the above formula: y= [ y 1 y2 ... yn]T ] represents the grouting amount,
The independent matrix function representing the polymer grouting, epsilon= [ epsilon 1 ε2 … εn]T ] represents an n×1 error vector, beta= [ beta 0 β1 … βn ] represents a regression coefficient vector, and the sample data of beta can be obtained by an experimental design and can be obtained by a flat method, so that the following formula is obtained.
β＝(xTx)-1xTy。
It should be further noted that, for the response surface model of the polymer grouting process parameter, in terms of error analysis, random error, model error and regression error are mainly involved, and the three errors are respectively expressed in the form of square sums, and the square sum of random error SS E is expressed as:
SSE＝yTy-βTxTy
Regression error SS R can be expressed as:
the sum of squares of total deviation SS y is expressed as:
The response surface model of the parameter set aiming at the polymer grouting generally needs to be detected by using a multiple fitting coefficient R 2 and a modified multiple fitting R 2 adj, and can establish a multi-aspect analysis of variance data table, and the detection method of the two can be obtained by the following formula:
R2＝SSR/SSy＝1-SSE/SSy
The coefficient R 2 for multiple fitting can represent a response surface model of complete fitting of the high polymer grouting process parameters, and in a variation range between [0,1], a better numerical value is required to be more than 0.9 for approximating R 2 in general, so that the fitting surface is good, and according to the advantages of the aspect, the response surface of the high polymer grouting parameters can better approximate to a data point, and then the value of R 2 adj is close to 1; suitability of the response surface model of the high polymer grouting parameters can also be detected through F statistics, and can be calculated by the following formula:
If the significant level value alpha can be given, the value can be generally 0.05 or 0.01, and if F > F a(k,n-k-1), the fitting effect of the response surface in the high polymer grouting process can be shown to be good, and the regression is significant.
Examples
Analysis of influence factors of diffusion distance of polymer grouting
The calculations made in reference to the third section have led to the conclusion that the maximum diffusion distance of a two-component polymer grouting is affected by a number of factors, the maximum diffusion distance of the polymer being related to the grouting pore diameter, the grouting amount, the initial viscosity of the polymer liquid, the change in viscosity value with time, the grouting speed, the initial grouting pressure, the polymer density, the water flow density, the running water speed, the expansion force of the polymer, the thickness of the cavity formed after the steel sheet, the shearing stress tensor of the polymer, the gravity, and the frictional resistance between the polymer and the steel panel. The factors influencing the maximum diffusion distance of the high polymer are more, the method is complicated, the grouting parameters with more obvious influences are grouting amount, grouting pressure, grouting aperture and speed of the back running water of the steel panel, and other factors are more related properties of the material, so that the method has a relation with the type of the high polymer, and the influence of each obvious factor on the maximum diffusion distance of the grouting is analyzed by adopting a bivariate method in the embodiment. FIG. 1 is a diagram showing a definition of a maximum diffusion distance, wherein the maximum diffusion distance l max is an average value of maximum diffusion in four directions of the diffusion distance d 1、d2、d3、d4 in four directions, and the calculation formula is shown as formulas 4-31
Influence of grouting time and grouting amount factors on maximum diffusion distance
The viscosity of the two-component polymer increases in a relatively short period of time, and the fluidity of the polymer gradually decreases.
Vertical grouting is performed behind the steel panel, the slurry is affected by gravity, the diffusion distance in the vertical direction d 2 in the initial stage is larger than that in the d 1、d3、d4, the center of the steel panel is designed to be a small opening into which the double-component high polymer slurry flows, and the aperture diameter is 10mm. In this context, by comparing numerical simulation with the theoretical derived analytical solution of the previous section, grouting is performed after the steel plate, and the correlation properties of water and soil after the steel plate need to be considered, and this is related to the grouting amount and the expansion performance of the high polymer for the obtained impermeable composite layer density.
In specific engineering practice, the high polymer grouting gun is used for grouting every 1 second, the grouting amount of each gun is 0.125kg, which is an ideal state, but in the numerical simulation process, the grouting amount is related to a plurality of factors, and in the field of manufacturing the high polymer test piece, the grouting amount of each gun is 0.125kg according to the structure of the grouting gun, but the grouting amount of the grouting process is basically continuous, the following graph G1 is the original grouting amount, G2 is the grouting amount, the loss of 10% is assumed to be compared with the original grouting amount, and G3 represents the loss of 5% to be compared with the original grouting amount, so that calculation is performed. Fig. 2 shows a comparison of the actual grouting amount with the original grouting amount.
Grouting behind the steel panel also considers whether there is moving or still water in the cavity behind the steel panel, and the direction of water flow, and it is assumed that the direction of water flow velocity behind the steel panel is perpendicular to the outside of the steel panel, opposite to the grouting direction. Because the flow factors influencing the polymer slurry are more, if the maximum diffusion distance is tested by adopting a traditional testing method, the method is more complicated, compared with the method, the computer simulation can perform visual simulation on the diffusion process, the numerical calculation parameter conversion is more convenient, and the distance of the fluid diffusion can be rapidly calculated. The diffusion distance, the slurry speed and the speed distribution rule of the polymer slurry at any moment can be clearly seen through simulation, and the accumulated grouting quantity at any moment can be calculated.
Considering the influence of grouting amount and grouting time on the diffusion distance, in order to design an optimization algorithm, the design of other physical parameters is designed according to the foregoing, grouting is completed in 9s in numerical calculation, grouting amounts are respectively designed to be 120g, 260g and 400g, according to the calculated value of the maximum average diffusion distance, the velocity of moving water behind a steel panel is 0.5m/s, the grouting aperture is 10mm, the thickness of an impermeable layer formed by grouting behind a steel panel is respectively 10mm, 20mm and 30mm in a state of continuous grouting, the length and width of the front face of the steel panel are respectively referred to as 1250mm x 560mm, when the grouting amount is 120g, as shown in fig. 3 (a), when the grouting amount is 260g, as shown in fig. 3 (b), and when the grouting amount is 400g, as shown in fig. 3 (c).
As shown in fig. 3 (a), (b) and (c), after the two components of the polymer are mixed, the polymer is mainly diffused, according to the expansion force data [155-156] of the polymer obtained by research, the expansion force of the polymer is smaller in the process of grouting for the first 10s, at this time, the polymer is mainly diffused, the diffusion distance of the grouting for the first 3s is faster, and the diffusion speed of the polymer is gradually reduced after 3s, which is related to the change of the viscosity of the polymer with time. The graph can be obtained, the density change of the two-component high polymer in the previous 9s is not great, the density at the beginning of grouting is 1.1g/cm 3, and the density change of the high polymer meets the requirement of the expansion and time change of the high polymer.
Influence of grouting aperture on maximum diffusion distance
In order to study the influence of the grouting aperture on the maximum diffusion distance, five grades of 5mm, 10mm, 15mm, 20mm and 25mm are respectively designed according to the grouting site process. Other main grouting process parameters such as the water running speed is designed to be 0.5m/s, the grouting pressure is designed to be 0.2MPa, the influence relationship is shown in fig. 4 (a) when the grouting amount is 120g, the influence relationship is shown in fig. 4 (b) when the grouting amount is 260g, and the influence relationship is shown in fig. 4 (c) when the grouting amount is 400 g.
As shown in fig. 4 (a), (b) and (c), as the grouting pore diameter gradually increases from 5mm to 25mm, the maximum diffusion distance gradually increases, and eventually, the grouting pore diameter is stable. Aiming at the increase of the grouting aperture, the method can be described in terms of a flow section, grouting amount and flow velocity, grouting time is unchanged, along with the increase of the grouting aperture, the cross section of a polymer grouting hole is also increased along with the increase of the grouting aperture, because the simulation is to control grouting pressure unchanged, along with the increase of the grouting aperture, the flow of the cross section polymer grouting is reduced, the product of the two is equal to the grouting amount, the two is also obtained by analyzing the above graphs, the influence of the grouting aperture on the diffusion radius is gradually reduced, the slope of a curve is reduced to be mild, in engineering practice, if the grouting requirement is to be met, other parameters can be adjusted, smaller grouting holes are often adopted, the problem of leakage or plugging nearby the grouting hole can be reduced, and the effect of precise grouting is achieved.
Meanwhile, the grouting amount of the high polymer can be obviously observed to be increased from 120g to 260g, and when the grouting amount is increased to 400g, according to the rheological property of the high polymer material, the maximum diffusion distance of the high polymer is obviously increased, the density obtained by final diffusion of the high polymer is between 0.25g/cm 3 and 0.35g/cm 3, and when the thickness of a cavity after a steel plate is increased from 10mm to 30mm, the density obtained by final expansion of the high polymer is reduced, which is related to grouting time.
Influence of grouting pressure on maximum diffusion distance
In order to study the influence of grouting pressure on the maximum diffusion distance, five grades of grouting pressure of 0.2MPa, 0.3MPa, 0.4MPa, 0.5MPa and 0.6MPa are respectively designed, other main grouting parameters such as a running water speed of 0.5m/s and a grouting aperture of 5mm are designed, the influence relationship is shown in a graph (a) of the moment when the grouting amount is 120g, the influence relationship is shown in a graph (b) of the moment when the grouting amount is 260g, the influence relationship is shown in a graph (c) of the moment when the grouting amount is 400g, the influence relationship is shown in a graph (c) of the moment, the grouting pressure has a larger influence on diffusion, and the grouting speed at the moment can be obtained to be larger as the grouting pressure is larger.
The influence of the grouting pressure on the maximum diffusion distance of the high polymer behind the steel panel is obtained through analysis in fig. 5 (a), (b) and (c), the grouting pressure can be used for rapidly improving the maximum diffusion distance of the high polymer behind the steel panel, the grouting pressure is increased mainly in the grouting stage, the increase of the grouting quantity is indirectly caused, the increase of the grouting quantity and the grouting pressure form a linear relation, the maximum diffusion distance and the grouting quantity form a high-order relation, the maximum diffusion distance is slowly increased and gradually and stably tends to be stable when the grouting pressure is increased to a certain stage, the proper grouting pressure can achieve the grouting effect under the condition that the grouting quantity is certain, meanwhile, the grouting pressure also indirectly influences the grouting speed, under the condition that the grouting aperture is certain, the grouting pressure is larger, the grouting speed is also larger, meanwhile, the more obvious is observed that the grouting quantity of the high polymer is increased to 260g from 120g, the maximum diffusion distance of the high polymer is obviously increased when the grouting quantity is increased to 400g, the density obtained by the final high polymer is finally in the range of 39.27 g/30 cm, the expansion space is also increased to the depth of the steel plate from 39.27 cm to 30mm, and the expansion space is obtained when the density of the high polymer is increased to 30 cm.
Influence of hydrodynamic speed on maximum diffusion distance
The flowing water speed after the steel panel is designed in the numerical calculation model is opposite to the grouting direction, and the flowing water speed after the steel panel is designed is respectively in five grades of 0.1m/s, 0.2m/s, 0.3m/s, 0.4m/s and 0.5 m/s. And simultaneously fixing grouting pressure to be 0.2MPa, grouting in cavities of 10mm, 20mm and 30mm behind the steel panel respectively, wherein the grouting aperture is uniformly designed to be 5mm, so that the influence relationship is shown in fig. 6 (a) when the grouting amount is 120g, the influence relationship is shown in fig. 6 (b) when the grouting amount is 260g, and the influence relationship is shown in fig. 6 (c) when the grouting amount is 400 g.
As can be seen from fig. 6 (a), (b) and (c), grouting is performed under the condition of water running behind the steel panel, the maximum diffusion distance of the polymer behind the steel panel gradually becomes smaller with the increase of the reverse water speed, and the maximum diffusion distance is reduced faster when the water running speed is increased from 0.1m/s to 0.2m/s, which has a larger relation with the grouting speed of the polymer slurry and the water flow speed hedging, and if the grouting speed of the polymer is larger, part of the water flow speed can be offset, and the polymer is not mutually dissolved with water. When the water flow rate was gradually increased from 0.2m/s to 0.5m/s, the magnitude of decrease in the maximum diffusion distance grouting of the polymer was gradually decreased. Meanwhile, the grouting amount of the high polymer can be obviously observed to be increased from 120g to 260g, and when the grouting amount is increased to 400g, the maximum diffusion distance of the high polymer is obviously increased, the density obtained by final diffusion of the high polymer is between 0.25g/cm 3 and 0.41g/cm 3, and when the thickness of a cavity after a steel plate is increased from 10mm to 30mm, the density obtained by final expansion of the high polymer is reduced, which is related to the expansion space and time of the high polymer.
Various corresponding changes can be made by those skilled in the art from the above technical solutions and concepts, and all such changes should be included within the scope of the invention as defined in the claims.
Claims (7)
1. The parameter optimization simulation method for grouting diffusion of high polymer materials behind a steel panel is characterized by comprising the following steps of:
Establishing a high polymer fluid simulation three-dimensional model;
Setting parameters in the fluid during high polymer grouting;
controlling each factor to carry out simulation test on grouting diffusion;
Obtaining a comparison relation of all factors;
Obtaining a final diffusion density value of the high polymer;
establishing a high polymer grouting process parameter optimization model, and establishing a mathematical relationship between grouting process parameters and the maximum diffusion distance of the high polymer by using a response surface method, wherein the response surface of the second order regression mode is
Where k represents the number of independent variables, and represents the number of relevant grouting parameter choices in the polymer grouting process, and assuming that the number of tests is n, the response surface of the second-order regression mode around the diffusion distance is expressed as follows:
y＝xβ+ε
In the above formula: y= [ y 1 y2 … yn]T ] represents the grouting amount,
An independent matrix representing high polymer grouting, epsilon= [ epsilon 1 ε2 … εn]T ] representing an n×1 error vector, beta= [ beta 0 β1 … βn) representing a regression coefficient vector, and sample data of beta obtained through experimental design and obtained by a flat method:
β＝(xTx)-1xTy。
2. The method for parameter optimization simulation of grouting diffusion of a high polymer material behind a steel panel according to claim 1, wherein the factors comprise grouting time, grouting amount, grouting aperture, grouting pressure and running water speed.
3. The parameter optimization simulation method for grouting diffusion of high polymer materials behind steel panels according to claim 2, wherein the grouting time and the grouting amount have the following effects on grouting diffusion:
The expansion force of the high polymer is small in the grouting process of the first 10s, and the high polymer is mainly in a diffusion mode; the diffusion distance of the polymer grouting increases rapidly in the first 3s, and the diffusion speed of the polymer gradually decreases after 3s, which is related to the change of the viscosity of the polymer with time; the density change of the high polymer in the first 9s is small, the density at the beginning of grouting is 1.1g/cm 3, and the density change of the high polymer meets the requirement of the expansion and time change of the high polymer.
4. The method for parameter optimization simulation of grouting diffusion of high polymer material behind steel panel according to claim 2, wherein the influence of grouting aperture on grouting diffusion is as follows:
As the grouting aperture gradually increases from 5mm to 25mm, the maximum diffusion distance gradually increases, and finally the grouting aperture is in a stable state; aiming at the increase of the grouting aperture, the method is described in terms of flow section, grouting amount and flow velocity, the grouting time is unchanged, the cross section of the polymer grouting hole is also increased along with the increase of the grouting aperture, because the simulation is to control the grouting pressure to be unchanged, the flow of the polymer grouting in the cross section is reduced along with the increase of the grouting aperture, and the product of the flow of the polymer grouting and the grouting amount is equal to the grouting amount; the influence of the grouting aperture on the diffusion radius is gradually reduced, the slope of the curve is reduced to be gentle, and small grouting holes are adopted to reduce leakage or blocking nearby the grouting holes, so that precise grouting is achieved.
5. The method for parameter optimization simulation of grouting diffusion of high polymer material behind steel panel according to claim 2, wherein the influence of grouting pressure on grouting diffusion is as follows:
The grouting pressure is increased, so that the grouting amount is increased indirectly, the grouting amount is increased in a linear relation with the grouting pressure, the maximum diffusion distance is in a high-order relation with the grouting amount, and the maximum diffusion distance is slowly increased and gradually becomes stable when the grouting pressure is increased to a certain stage; under the condition of a certain grouting amount, the grouting pressure achieves the grouting effect, meanwhile, the grouting pressure also indirectly influences the grouting speed, and under the condition of a constant grouting aperture, the grouting speed is also higher as the grouting pressure is higher.
6. The parameter optimization simulation method for grouting diffusion of high polymer materials behind a steel panel according to claim 2, wherein the influence of the running water speed on the grouting diffusion is as follows:
grouting is carried out under the condition of flowing water behind the steel panel, the maximum diffusion distance of the high polymer behind the steel panel gradually becomes smaller along with the increase of the reverse water speed, and the maximum diffusion distance is reduced rapidly when the flowing water speed is increased to 0.2m/s from 0.1m/s, which is related to the grouting speed and the opposite water flow speed of the high polymer slurry; if the high polymer grouting speed is high, counteracting part of water flow speed, wherein the high polymer and water are not mutually soluble; when the water flow rate was gradually increased from 0.2m/s to 0.5m/s, the maximum diffusion distance of the polymer gradually decreased with the decrease in grouting.
7. The parameter optimization simulation method of grouting diffusion of a high polymer material behind a steel panel according to claim 1, wherein for a response surface model of a high polymer grouting process parameter, in terms of error analysis, random errors, model errors and regression errors are involved, wherein the three errors are respectively expressed in the form of square sums, and the square sums of random errors SS E are expressed as follows:
SSE＝yTy-βTxTy
regression error SS R is expressed as:
the sum of squares model error SS y is expressed as:
The response surface model of the parameter set aiming at the polymer grouting needs to be detected by applying a multiple fitting coefficient R 2 and a modified multiple fitting R 2 adj, and a multi-aspect analysis of variance data table is established, wherein the detection method of the response surface model and the modified multiple fitting coefficient R 2 adj is obtained by the following formula:
R2＝SSR/SSy＝1-SSE/SSy
For the multiple fitting coefficient R 2 to represent a response surface model of the complete fitting of the high polymer grouting process parameters, a good numerical value is required to be more than 0.9 to be approximated to R 2 between the variation ranges [0,1], which indicates that the fitting surface is good, and according to the advantages of the aspect, the value of R 2 adj is close to 1 when the response surface of the high polymer grouting parameters approximates to the data point; suitability of the response surface model for the high polymer grouting parameters is detected by F statistics and is calculated by the following formula:
If a significant level value a can be given, the value is 0.05 or 0.01, and if F > F a(k,n-k-1), the fitting effect of the response surface in the high polymer grouting process is good, and the regression is significant.
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