CN112924334A - Method for testing applicability of solubility curve of physical foaming agent of high polymer slurry - Google Patents
Method for testing applicability of solubility curve of physical foaming agent of high polymer slurry Download PDFInfo
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- CN112924334A CN112924334A CN202110135831.XA CN202110135831A CN112924334A CN 112924334 A CN112924334 A CN 112924334A CN 202110135831 A CN202110135831 A CN 202110135831A CN 112924334 A CN112924334 A CN 112924334A
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- polymer slurry
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N13/00—Investigating surface or boundary effects, e.g. wetting power; Investigating diffusion effects; Analysing materials by determining surface, boundary, or diffusion effects
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
- G01N9/02—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity by measuring weight of a known volume
- G01N9/04—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity by measuring weight of a known volume of fluids
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
- G01N9/36—Analysing materials by measuring the density or specific gravity, e.g. determining quantity of moisture
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N13/00—Investigating surface or boundary effects, e.g. wetting power; Investigating diffusion effects; Analysing materials by determining surface, boundary, or diffusion effects
- G01N2013/006—Dissolution of tablets or the like
Abstract
The invention is suitable for the technical field of chemical grouting, and relates to a method for testing the applicability of a solubility curve of a physical foaming agent of high polymer slurry, which comprises the following steps: reading the temperature and the liquid level height of the high polymer slurry at different moments, and calculating to obtain the density of the high polymer slurry at different moments according to the liquid level height; the given solubility curve is used for simulation analysis of the reaction process of the high polymer slurry, and the temperature and density changes of the high polymer slurry at different moments are calculated; and judging the applicability of the given physical foaming agent solubility curve according to the deviation of the numerical simulation and the test result. The method has simple steps and high accuracy, and lays a foundation for developing the high polymer diffusion process simulation and researching the high polymer grouting mechanism.
Description
Technical Field
The invention belongs to the technical field of chemical grouting, and particularly relates to a method for testing the applicability of a solubility curve of a physical foaming agent of high polymer slurry.
Background
The high polymer grouting material has the advantages of fast expansion, early strength, water resistance, durability, environmental protection and the like. In recent years, high polymer grouting is widely applied to infrastructure repair engineering as a novel engineering repair technology. With the progress of modern polymer industry, the bi-component polyurethane high polymer grouting material with self-expansion characteristic and the high-pressure injection technology thereof are developed very rapidly internationally, are widely applied, become one of the more active development directions in the chemical grouting field, are widely applied to the aspects of water damage prevention, foundation reinforcement, road maintenance and the like in underground engineering such as mines, tunnels and the like, become a development direction with obvious characteristics in the geotechnical engineering field, and have important guiding significance for grouting design and construction in the research of the diffusion mechanism of high polymer slurry.
Simulating the expansion diffusion process of the high polymer by means of simulation is an important way for researching the diffusion mechanism of the high polymer slurry. In order to research the diffusion mechanism of the high polymer, the expansion process of the high polymer slurry needs to be accurately solved, and the key point is to master the solubility curve of the physical foaming agent in the high polymer slurry. The applicability of the solubility curve directly influences the accuracy of numerical simulation calculation, so that the applicability of the calculated solubility curve needs to be verified, and a perfect test method for the applicability of the solubility curve of the physical foaming agent is lacked at present.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a method for testing the applicability of a solubility curve of a physical foaming agent of high polymer slurry, so as to solve the problems of incomplete testing method and low accuracy of the solubility curve of the physical foaming agent of the high polymer slurry in the prior art.
In order to solve the technical problems, the invention adopts the following technical scheme:
the invention provides a method for verifying the applicability of a solubility curve of a physical foaming agent of high polymer slurry, which comprises the following steps:
s10, reading the temperature and the liquid level height of the polymer slurry at different moments, and calculating to obtain the density of the polymer slurry at different moments according to the liquid level height;
s20, using the given solubility curve for simulation analysis of the reaction process of the polymer slurry, and calculating to obtain the temperature and density changes of the polymer slurry at different moments;
and S30, judging the applicability of the given physical foaming agent solubility curve according to the deviation of the numerical simulation and the test result.
Further, the step S10 specifically includes:
s11, placing the reactor with scales on a weighing device;
s12, injecting the high polymer slurry into the reactor with scales;
s13, placing a temperature sensor in the reactor with the scale, and immersing a probe of the temperature sensor in the high polymer slurry;
s14, reading and recording temperature values of the polymer slurry at different moments;
s15, reading the height values corresponding to the highest point of the liquid level of the polymer slurry on the reactor with scales and the highest point from the bottom to the regular liquid level, and calculating the volume of the polymer slurry at the moment according to the read height values;
and S16, calculating the density value of the high polymer slurry at different moments according to the volume value and the mass of the high polymer slurry.
Further, the reactor with scales in the step S11 is a measuring cylinder.
Further, the weighing apparatus in the step S11 is an electronic scale.
Further, the step S20 specifically includes:
s21, substituting the solubility curve of the physical foaming agent into a high polymer slurry gel reaction rate equation and a chemical foaming reaction equation, and simultaneously solving and calculating the conversion rates of the high polymer slurry polyalcohol and the water at different moments;
s22, substituting the conversion rate calculated in the step S21 into an energy balance equation to calculate and solve the temperature change of the polymer slurry at different moments;
s23, calculating the mass fraction r of the polyhydric alcohol and the water at different time according to the conversion rate of the polyhydric alcohol and the water at the timei；
S24, calculating the mass fraction r obtained in the step S23iAnd substituting the density formula into a density formula to calculate the density change of the polymer slurry at different moments.
Further, the gel reaction rate equation in the step S20 is:
the chemical foaming reaction equation is as follows:
the energy balance equation is:
wherein A isOHA pre-factor for the gelation reaction, EOHActivation energy for gelation reaction, ci,0Denotes the initial concentration of the component, ciDenotes the current concentration of the component, XiAs a result of the conversion rate of the components,
r is the gas constant, T is the temperature, RiDenotes the mass fraction of each component, rBG＝rBL,0-rBL，ρiDenotes the density of each component, CiOf each componentSpecific heat, λ is heat of vaporization, Δ H is heat of reaction, t is reaction time.
Further, the step S30 specifically includes:
s31, comparing the time variation curve of the numerical simulation temperature with the actual test result, calculating the average relative error of the numerical simulation temperature and the test temperature, and judging whether the average relative error meets the requirement;
s32, comparing the time-varying curve of the numerical simulation density with the actual test result, calculating the average relative error of the numerical simulation density and the test density, and judging whether the average relative error meets the requirement.
Compared with the prior art, the method for testing the solubility curve applicability of the physical foaming agent of the high polymer slurry has the following beneficial effects that:
the method verifies the feasibility and the accuracy of the method for testing the solubility curve of the physical foaming agent of the high polymer slurry by respectively comparing the curve of the change of the numerical simulation temperature along with the time and the curve of the change of the numerical simulation density along with the time with respective actual test results, and calculating the average relative error of the numerical simulation temperature and the test temperature and the average relative error of the numerical simulation density and the test density, thereby laying a foundation for developing the simulation of the diffusion process of the high polymer and researching the grouting mechanism of the high polymer.
Drawings
In order to illustrate the solution of the invention more clearly, the drawings that are needed in the description of the embodiments will be briefly described below, it being obvious that the drawings in the following description are some embodiments of the invention, and that other drawings may be derived from these drawings by a person skilled in the art without inventive effort.
FIG. 1 is a flow chart of a method for testing the applicability of a solubility curve of a physical foaming agent in a polymer slurry according to the present invention;
FIG. 2 is a graph showing the comparison between the numerical simulation temperature value and the test temperature value of the bi-component polymer slurry in the method for testing the applicability of the solubility curve of the physical foaming agent of the polymer slurry according to the present invention;
FIG. 3 is a graph showing the comparison between the simulated density value and the experimental density value of the bi-component polymer slurry with time, which is used in the method for testing the applicability of the solubility curve of the physical foaming agent of the polymer slurry.
Detailed Description
To facilitate an understanding of the invention, the invention will now be described more fully with reference to the accompanying drawings. Preferred embodiments of the present invention are shown in the drawings. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.
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. The terminology used in the description of the invention herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention.
As shown in FIG. 1, the invention provides a method for testing the suitability of a solubility curve of a physical foaming agent in a high polymer slurry, which is characterized by comprising the following steps:
s10, reading the temperature and the liquid level height of the polymer slurry at different moments, and calculating to obtain the density of the polymer slurry at different moments according to the liquid level height;
the specific process is as follows:
s11, placing the reactor with scales on a weighing device;
s12, injecting the high polymer slurry into a reactor with scales;
s13, placing the temperature sensor in a reactor with scales, and immersing a probe of the temperature sensor in the high polymer slurry;
s14, reading and recording temperature values of the polymer slurry at different moments;
s15, reading the highest point of the liquid level of the polymer slurry on the reactor with scales and the height value corresponding to the highest point from the bottom to the regular liquid level, and calculating the volume of the polymer slurry at the moment according to the read height value;
and S16, calculating the density value of the high polymer slurry at different moments according to the volume value and the mass of the high polymer slurry.
Specifically, in the present embodiment, the reactor with scale may be a measuring cylinder, a beaker, a flask, or the like.
Specifically, in the present embodiment, the weighing device may be an electronic scale.
S20, using the given solubility curve for simulation analysis of the reaction process of the polymer slurry, and calculating to obtain the temperature and density changes of the polymer slurry at different moments;
the specific process is as follows:
s21, substituting the solubility curve of the physical foaming agent into a high polymer slurry gel reaction rate equation and a chemical foaming reaction equation, and simultaneously solving and calculating the conversion rates of the high polymer slurry polyalcohol and the water at different moments;
s22, substituting the conversion rate calculated in the step S21 into an energy balance equation to calculate and solve the temperature change of the polymer slurry at different moments;
s23, calculating the mass fraction r of the polyhydric alcohol and the water at different time according to the conversion rate of the polyhydric alcohol and the water at the timei；
S24, calculating the mass fraction r obtained in the step S23iAnd substituting the density formula into a density formula to calculate the density change of the polymer slurry at different moments.
In step S20, the gel reaction rate equation is:
the chemical foaming reaction equation is as follows:
the energy balance equation is:
wherein A isOHA pre-factor for the gelation reaction, EOHActivation energy for gelation reaction, ci,0Denotes the initial concentration of the component, ciDenotes the current concentration of the component, XiAs a result of the conversion rate of the components,
r is the gas constant, T is the temperature, RiDenotes the mass fraction of each component, rBG＝rBL,0-rBL，ρiDenotes the density of each component, CiLambda is the heat of vaporization, Δ H is the heat of reaction, and t is the reaction time, which is the specific heat of each component.
Table 1 shows the parameter values of the relevant parameters in this example:
TABLE 1
S30, judging the applicability of the given physical foaming agent solubility curve according to the deviation of the numerical simulation and the test result;
the specific process is as follows:
s31, comparing the time variation curve of the numerical simulation temperature with the actual test result, calculating the average relative error of the numerical simulation temperature and the test temperature, and judging whether the average relative error meets the requirement;
the average relative error for the temperature in this example was calculated to be 0.6834%, less than the required 5% criterion;
s32, comparing the time-varying curve of the numerical simulation density with the actual test result, calculating the average relative error of the numerical simulation density and the test density, and judging whether the average relative error meets the requirement;
the average relative error in density in this example was calculated to be 1.9653%, less than the required 5% criterion.
The average relative errors calculated in the step S31 and the step S32 both satisfy the requirement, which indicates that the method for testing the applicability of the physical foaming agent solubility curve of the polymer slurry provided by the invention has feasibility, so that the physical foaming agent solubility curve in the embodiment is suitable for the diffusion simulation calculation of the polymer slurry.
The results of numerical analysis and test of the temperature change of the polymer in the reaction process shown in FIG. 2 show that, in the initial stage of the reaction, the temperature of the polymer slurry rises sharply and then tends to be stable, and the simulated value is in agreement with the test value, thus proving the accuracy and rationality of the solubility curve.
The results of the numerical analysis of the density change during the reaction shown in FIG. 3 are compared with the test results, and it can be seen that the results of the numerical analysis are closer to the test results, further illustrating the accuracy of the solubility curve.
The method for testing the solubility curve applicability of the physical foaming agent of the polymer slurry is simple in steps and convenient to operate, the change curve of the numerical simulation temperature along with time and the change curve of the numerical simulation density along with time are respectively compared with respective actual test results, the feasibility and the accuracy of the method for testing the solubility curve applicability of the physical foaming agent of the polymer slurry are verified by calculating the average relative error of the numerical simulation temperature and the test temperature and calculating the average relative error of the numerical simulation density and the test density, and a foundation is laid for developing the simulation of the diffusion process of the polymer and researching the grouting mechanism of the polymer.
It is to be understood that the above-described embodiments are merely preferred embodiments of the present invention, and not all embodiments are shown in the drawings, which are set forth to limit the scope of the invention. This invention may be embodied in many different forms and, on the contrary, these embodiments are provided so that this disclosure will be thorough and complete. Although the present invention has been described in detail with reference to the foregoing embodiments, it will be apparent to those skilled in the art that various changes in the embodiments and modifications can be made, and equivalents may be substituted for elements thereof. All equivalent structures made by using the contents of the specification and the attached drawings of the invention can be directly or indirectly applied to other related technical fields, and are also within the protection scope of the patent of the invention.
Claims (7)
1. A method for testing the applicability of a solubility curve of a physical foaming agent of polymer slurry is characterized by comprising the following steps:
s10, reading the temperature and the liquid level height of the polymer slurry at different moments, and calculating to obtain the density of the polymer slurry at different moments according to the liquid level height;
s20, using the given solubility curve for simulation analysis of the reaction process of the polymer slurry, and calculating to obtain the temperature and density changes of the polymer slurry at different moments;
and S30, judging the applicability of the given physical foaming agent solubility curve according to the deviation of the numerical simulation and the test result.
2. The method for checking the suitability of the solubility curve of the physical foaming agent in the polymer slurry according to claim 1, wherein the step S10 specifically comprises:
s11, placing the reactor with scales on a weighing device;
s12, injecting the high polymer slurry into the reactor with scales;
s13, placing a temperature sensor in the reactor with the scale, and immersing a probe of the temperature sensor in the high polymer slurry;
s14, reading and recording temperature values of the polymer slurry at different moments;
s15, reading the height values corresponding to the highest point of the liquid level of the polymer slurry on the reactor with scales and the highest point from the bottom to the regular liquid level, and calculating the volume of the polymer slurry at the moment according to the read height values;
and S16, calculating the density value of the high polymer slurry at different moments according to the volume value and the mass of the high polymer slurry.
3. The method for testing the suitability of the solubility curve of the physical foaming agent in the polymer slurry according to claim 2, wherein the reactor with the scale in step S11 is a measuring cylinder.
4. The method for checking the suitability of the solubility curve of the physical foaming agent in the polymer slurry according to claim 3, wherein the weighing device in the step S11 is an electronic scale.
5. The method for checking the suitability of the solubility curve of the physical foaming agent in the polymer slurry according to claim 1, wherein the step S20 specifically comprises:
s21, substituting the solubility curve of the physical foaming agent into a high polymer slurry gel reaction rate equation and a chemical foaming reaction equation, and simultaneously solving and calculating the conversion rates of the high polymer slurry polyalcohol and the water at different moments;
s22, substituting the conversion rate calculated in the step S21 into an energy balance equation to calculate and solve the temperature change of the polymer slurry at different moments;
s23, calculating the mass fraction r of the polyhydric alcohol and the water at different time according to the conversion rate of the polyhydric alcohol and the water at the timei；
S24, calculating the mass fraction r obtained in the step S23iAnd substituting the density formula into a density formula to calculate the density change of the polymer slurry at different moments.
6. The method for testing the suitability of the solubility curve of the physical foaming agent in the polymer slurry according to claim 5, wherein the gel reaction rate equation in step S20 is as follows:
the chemical foaming reaction equation is as follows:
the energy balance equation is:
wherein A isOHA pre-factor for the gelation reaction, EOHActivation energy for gelation reaction, ci,0Denotes the initial concentration of the component, ciDenotes the current concentration of the component, XiAs a result of the conversion rate of the components,
r is the gas constant, T is the temperature, RiDenotes the mass fraction of each component, rBG＝rBL,0-rBL，ρiDenotes the density of each component, CiLambda is the heat of vaporization, Δ H is the heat of reaction, and t is the reaction time, which is the specific heat of each component.
7. The method for checking the suitability of the solubility curve of the physical foaming agent in the polymer slurry according to claim 1, wherein the step S30 specifically comprises:
s31, comparing the time variation curve of the numerical simulation temperature with the actual test result, calculating the average relative error of the numerical simulation temperature and the test temperature, and judging whether the average relative error meets the requirement;
s32, comparing the time-varying curve of the numerical simulation density with the actual test result, calculating the average relative error of the numerical simulation density and the test density, and judging whether the average relative error meets the requirement.
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| CN209247578U (en) * | 2018-11-29 | 2019-08-13 | 郑州大学 | High polymer crack grouting model test apparatus under a kind of pressure-bearing river channels |
| CN110398441A (en) * | 2019-08-23 | 2019-11-01 | 郑州大学 | It is spread in the vertical crack of rock mass for simulating slurries and the device of expansion characteristics |
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| CN112016663A (en) * | 2020-08-24 | 2020-12-01 | 郑州大学 | Polymer slurry parameter identification method based on group intelligent optimization algorithm |
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- 2021-02-01 CN CN202110135831.XA patent/CN112924334B/en active Active
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2006349495A (en) * | 2005-06-15 | 2006-12-28 | Central Res Inst Of Electric Power Ind | Deterioration analysis method of polymeric material, and deterioration analysis program for polymeric material |
| US20150169802A1 (en) * | 2013-11-19 | 2015-06-18 | Homeland Technologies Research, Llc | Polymer formation and simulation thereof |
| CN208833761U (en) * | 2018-09-18 | 2019-05-07 | 广东华路交通科技有限公司 | A kind of device for testing high polymer grouting material expansion character |
| CN109342274A (en) * | 2018-11-29 | 2019-02-15 | 郑州大学 | High polymer crack grouting model test apparatus and test method under pressure-bearing river channels |
| CN209247578U (en) * | 2018-11-29 | 2019-08-13 | 郑州大学 | High polymer crack grouting model test apparatus under a kind of pressure-bearing river channels |
| CN110398441A (en) * | 2019-08-23 | 2019-11-01 | 郑州大学 | It is spread in the vertical crack of rock mass for simulating slurries and the device of expansion characteristics |
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