CN117571427B - Preparation method and system of argillaceous sandstone similar material - Google Patents
Preparation method and system of argillaceous sandstone similar material Download PDFInfo
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- GUJOJGAPFQRJSV-UHFFFAOYSA-N dialuminum;dioxosilane;oxygen(2-);hydrate Chemical compound O.[O-2].[O-2].[O-2].[Al+3].[Al+3].O=[Si]=O.O=[Si]=O.O=[Si]=O.O=[Si]=O GUJOJGAPFQRJSV-UHFFFAOYSA-N 0.000 claims description 5
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- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N1/00—Sampling; Preparing specimens for investigation
- G01N1/28—Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q
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- C—CHEMISTRY; METALLURGY
- C04—CEMENTS; CONCRETE; ARTIFICIAL STONE; CERAMICS; REFRACTORIES
- C04B—LIME, MAGNESIA; SLAG; CEMENTS; COMPOSITIONS THEREOF, e.g. MORTARS, CONCRETE OR LIKE BUILDING MATERIALS; ARTIFICIAL STONE; CERAMICS; REFRACTORIES; TREATMENT OF NATURAL STONE
- C04B28/00—Compositions of mortars, concrete or artificial stone, containing inorganic binders or the reaction product of an inorganic and an organic binder, e.g. polycarboxylate cements
- C04B28/02—Compositions of mortars, concrete or artificial stone, containing inorganic binders or the reaction product of an inorganic and an organic binder, e.g. polycarboxylate cements containing hydraulic cements other than calcium sulfates
- C04B28/04—Portland cements
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- C04—CEMENTS; CONCRETE; ARTIFICIAL STONE; CERAMICS; REFRACTORIES
- C04B—LIME, MAGNESIA; SLAG; CEMENTS; COMPOSITIONS THEREOF, e.g. MORTARS, CONCRETE OR LIKE BUILDING MATERIALS; ARTIFICIAL STONE; CERAMICS; REFRACTORIES; TREATMENT OF NATURAL STONE
- C04B28/00—Compositions of mortars, concrete or artificial stone, containing inorganic binders or the reaction product of an inorganic and an organic binder, e.g. polycarboxylate cements
- C04B28/14—Compositions of mortars, concrete or artificial stone, containing inorganic binders or the reaction product of an inorganic and an organic binder, e.g. polycarboxylate cements containing calcium sulfate cements
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D33/00—Testing foundations or foundation structures
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Abstract
The application discloses a preparation method and a preparation system of a muddy sandstone similar material, and belongs to the technical field of preparation of muddy sandstone similar materials. According to the method, according to the components of the argillaceous sandstone, an orthogonal experimental design or a uniform experimental design method is adopted to design and determine a similar material mixing ratio test scheme, argillaceous sandstone similar material samples with different mixing ratios are manufactured, physical values are tested, an empirical function relation between the physical values and the components of a mixture of the argillaceous sandstone similar material and the sample is obtained through regression analysis, and then the preparation of the argillaceous sandstone similar material is carried out according to the physical values required by an indoor test. The application can prepare the argillaceous sandstone similar materials meeting the requirements of indoor simulation tests, reduces the test cost, and can be used for testing the side friction resistance of piles or anchor rods in argillaceous sandstone stratum.
Description
Technical Field
The application belongs to the technical field of preparation of argillaceous sandstone similar materials, and particularly relates to a preparation method and a system of an argillaceous sandstone similar material for indoor testing of pile or anchor rod side friction resistance in argillaceous sandstone strata.
Background
In the geotechnical engineering field, understanding the physical and mechanical properties of subsurface formations is critical to the design and construction of infrastructure. In order to truly simulate conditions in an actual formation, it is often necessary to use rock-like materials for in-house testing. These similar materials must be able to accurately simulate the physical and mechanical properties of the actual formation, including compressive strength, tensile strength, elastic modulus, density, etc. of the rock. For the argillaceous sandstone stratum, the specific mechanical property of the argillaceous sandstone stratum needs to be simulated so as to ensure the accuracy of the test, and a scientific basis is provided for the design of the field engineering pile or the anchor rod.
However, the preparation method of the muddy sandstone similar materials is relatively deficient at present, and the prepared similar materials are difficult to match with the properties.
Disclosure of Invention
The application aims to provide a preparation method and a system of a muddy sandstone similar material, which are characterized in that according to mineral composition components of undisturbed rock, a sample of the muddy sandstone similar material is prepared by adopting rock similar materials, an intelligent optimization algorithm is adopted to calculate and determine optimal mixing proportion regression analysis of the muddy sandstone similar materials, an empirical function relation between physical quantities and composition components of a mixture of the muddy sandstone similar materials and the sample is obtained, finally, the optimal mixing proportion of the muddy sandstone similar materials is calculated and determined based on the intelligent optimization algorithm, and then, the preparation of the similar materials is carried out according to the physical quantity required by an indoor test, so that at least one technical problem related to the background technology can be solved.
In order to solve the technical problems, the application is realized as follows:
the embodiment of the application provides a preparation method of a muddy sandstone similar material, which comprises the following steps:
step S1, determining a target stratum, taking undisturbed rock samples from the target stratum, and testing original values of physical quantities of the undisturbed rock samples;
s2, according to the similarity ratio of the indoor simulation test, deriving the simulation value of each physical quantity in the simulation test by using a similarity theory;
s3, rock and ore identification is carried out on the undisturbed rock sample, the mineral components of the undisturbed rock sample are determined through analysis, and then the components of the argillaceous sandstone similar materials are determined;
S4, designing a mixing ratio test scheme of the muddy sandstone similar materials, preparing a mixture of the muddy sandstone similar materials, and testing the consistencies and the setting times of the mixtures with different mixing ratios;
Step S5, whether the consistency meets the requirement is evaluated, if not, the step S4 is executed in a return mode; if yes, executing step S6;
S6, placing the mixture meeting the requirements into a mould to manufacture a sample, sealing and curing the manufactured sample for a period of time, and then testing each physical quantity value of the sample, and carrying out regression analysis to obtain an empirical function relation between each physical quantity and composition components of the mixture of the argillaceous sandstone similar material and the sample;
step S7, calculating and determining the optimal mixing ratio of the muddy sandstone similar materials based on an intelligent optimization algorithm;
And S8, calculating error values between each physical quantity test value of the sample prepared by the mixture under the optimal mixing ratio and each physical quantity analog value derived by using a similarity theory, and fine-tuning the mixing ratio of the argillaceous sandstone similar materials based on the calculated error values.
As a limitation of the present application, in step S1, the target formation is determined using the following method:
The diameter d p of a pile or an anchor rod in actual engineering is investigated, a target stratum needing to test the side friction resistance of the pile or the anchor rod in the argillaceous sandstone stratum is determined according to the actual condition of the field engineering, and the overburden stratum pressure is calculated
As a limitation of the present application, in step S1, the physical quantity comprises the dry density of the undisturbed rock sampleElastic modulus E p, uniaxial compressive StrengthAnd tensile StrengthIn the step S2, the physical quantity simulation value comprises the diameter value/>, of the pile or the anchor rod in the indoor simulation testOverburden formation pressure valuesDry density take-offElastic modulus valueUniaxial compressive Strength valueTensile Strength valueWherein, C l is the diameter similarity ratio of piles or anchor rods, C σv is the pressure similarity ratio of overlying strata, C ρd is the dry density similarity ratio, C E is the elastic modulus similarity ratio, C σc is the uniaxial compressive strength similarity ratio, and C σt is the tensile strength similarity ratio.
As a limitation of the present application, in step S3, the components of the argillaceous sandstone-like material include aggregate, binder, clay mineral, blending agent, and admixture, wherein:
the aggregate comprises coarse aggregate and fine aggregate;
the coarse aggregate is quartz sand;
the fine aggregate is one of barite powder and iron concentrate;
the cementing agent is one or two of cement and gypsum, wherein the cement is ordinary Portland cement;
the clay mineral is one of kaolinite and montmorillonite;
The blending agent is water;
The additive is one or two of glycerin and gypsum retarder.
As a limitation of the present application, in step S4, a mixing ratio test scheme of the muddy sandstone similar material is designed according to an orthogonal test design or a uniform test design method, including:
determining the bone cement ratio, namely the ratio of the mass of the coarse aggregate and the fine aggregate to the mass of the cementing agent is 0.5-3.0;
determining the mass ratio of coarse aggregate to fine aggregate to be 0.4-3.0;
determining the mixing amount of clay mineral, namely, the mixing amount is 5-50% of the total mass ratio of solids;
Determining the water-cement ratio, namely the mass ratio of water to cementing agent is 0.5-4;
The mixing amount of the additive is determined, namely, the glycerol accounts for 0.1 to 0.5 percent of the mass ratio of clay minerals, and the gypsum retarder accounts for 0 to 0.5 percent of the mass ratio of gypsum.
As a limitation of the present application, in step S4, a mixture of the muddy sandstone-like material is prepared by the following method:
sequentially weighing coarse aggregate, fine aggregate, cementing agent and clay mineral with corresponding weights, and placing in a stirring pot for dry stirring for 1.5-5min;
then weighing water with corresponding weight, adding the water into a stirring pot for wet mixing for 1.5-5min.
As a limitation of the present application, in step S6, the empirical functional relation is:
Dns=g1(X)=g1(x1,x2,…,xs)
tcd=g2(X)=g2(x1,x2,…,xs)
Em=h2(X)=h2(x1,x2,…,xs)
Wherein D ns is the consistency of the mixture; t cd is the clotting time; x=x 1,x2,...,xs, where X 1,x2,…,xs is a argillaceous sandstone-like material; s is the content (ratio) of the constituent components; g 1(·)、g2(·)、h1(·)、h2(·)、h3 (. Cndot.) and h 4 (. Cndot.) are polynomial functions.
As a limitation of the present application, in step S7, the optimal blending ratio of the muddy sandstone similar materials is calculated and determined based on the intelligent optimization algorithm, and the method specifically includes the following steps:
Taking the consistency and the setting time of the muddy sandstone similar material mixture to meet the test operation requirement, and the physical quantity of the similar material sample to be equal to the simulation value of each physical quantity in the simulation test derived according to the similar theoretical analysis as constraint conditions, and constructing the following optimized mathematical model by using the test cost objective function:
s.t. Dns=g1(X)≥[Dns]
tcd=g2(X)≥[tcd]
Em=h2(X)=[Em]
Wherein C total is the total cost; f (X) is an objective function; c i is the price coefficient of the ith component obtained by conversion according to the market price;
An external point punishment function method is adopted to convert the optimized mathematical model into the following unconstrained optimized function form:
Wherein r is a penalty factor, which is a sequence from small to large and approaching ++i.e. r 0<r1<r2<…<rk → ≡; the recursive formula for r is r k=crk-1, where c is an increasing coefficient, typically taking c=5-10;
Solving by adopting an ant colony optimization search algorithm to obtain an optimal solution Namely, the calculated optimal mixing ratio of the components of the muddy sandstone similar materials is
As a limitation of the present application, in step S8, the error value is calculated by the following method:
According to the optimal mixing ratio of the components of the muddy sandstone similar materials obtained by optimization analysis The mixture was formulated and tested for consistencyAnd clotting time
Preparing a sample and measuring the dry density of the sampleModulus of elasticityUniaxial compressive StrengthAnd tensile StrengthA value;
calculating error values between each physical quantity test value of a sample prepared by the mixture under the optimal mixing ratio and each physical quantity simulation value derived by using a similarity theory, namely:
Dry density error:
Elastic modulus error:
Uniaxial compressive strength error:
Tensile strength error:
the application also provides a preparation system of the argillaceous sandstone similar material for realizing the method, which comprises the following steps:
The physical quantity original value testing module is used for determining a target stratum, taking undisturbed rock samples from the target stratum and testing original values of various physical quantities;
the physical quantity analog value deriving module is used for deriving each physical quantity analog value in the simulation test by utilizing a similarity theory according to the similarity ratio of the indoor simulation test;
The similar material composition determining module is used for carrying out rock-ore identification on the undisturbed rock sample, analyzing and determining mineral compositions of the undisturbed rock sample, and then determining the composition of the argillaceous sandstone similar material;
The mixture testing module is used for designing a mixing ratio test scheme of the muddy sandstone similar materials, preparing the mixture of the muddy sandstone similar materials, and testing the consistencies and the setting time of the mixture with different mixing ratios;
a consistency assessment module for assessing whether a consistency meets a requirement;
The empirical function relation obtaining module is used for testing each physical quantity value of the sample, and obtaining an empirical function relation between each physical quantity and composition components of the mixture of the argillaceous sandstone similar material and the sample through regression analysis;
The optimal mix ratio calculation module is used for calculating and determining the optimal mix ratio of the muddy sandstone similar materials based on an intelligent optimization algorithm;
And the fine adjustment module is used for calculating error values between each physical quantity test value of the sample prepared by the mixture under the optimal mixing ratio and each physical quantity analog value derived by utilizing the similarity theory, and carrying out fine adjustment on the mixing ratio of the argillaceous sandstone similar materials based on the calculated error values.
The embodiment of the application has the beneficial effects that:
1. Adopting an orthogonal test design or a uniform test design method to design a similar material mixing ratio test scheme, and taking whether the consistency and the setting time of the mixture meet the standard requirements or not as constraints to prepare a sample of the muddy sandstone similar material;
2. Testing each physical quantity value of the sample, and obtaining an empirical function relation between each physical quantity value and each composition component (mixing ratio) by adopting a weighted regression analysis method based on the measured physical quantity values of the muddy sandstone similar material mixtures with different mixing ratios;
3. the test cost is taken as an objective function, an optimized mathematical model is constructed, and an intelligent algorithm is adopted to calculate and obtain the optimal mixing ratio of each component of the muddy sandstone similar material, so that the test cost is reduced;
4. Through the design of the mixing proportion of the similar materials of the argillaceous sandstone, the relation between each component and the physical magnitude of the mixture can be obtained, and the similar materials of the argillaceous sandstone meeting the requirements of an indoor simulation test can be prepared based on a similarity theory, so that the device can be used for testing the side friction resistance of piles or anchor rods in the argillaceous sandstone stratum.
Drawings
For a clearer description of the technical solutions of the embodiments of the present invention, the drawings that are needed in the description of the embodiments will be briefly introduced below, it being obvious that the drawings in the description below are only some embodiments of the present invention, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art, wherein:
FIG. 1 is a flow chart of a method for preparing a muddy sandstone similar material according to an embodiment of the application;
fig. 2 is a structural frame diagram of a preparation system for a muddy sandstone similar material according to an embodiment of the application.
In the figure, 1, a physical quantity original value testing module; 2. a physical quantity analog value deriving module; 3. a similar material composition determination module; 4. a mixture testing module; 5. a consistency assessment module; 6. obtaining a module by using an empirical function relation; 7. an optimal mix ratio calculation module; 8. and a fine tuning module.
Detailed Description
The following description of the embodiments of the present application will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are some, but not all embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
The terms first, second and the like in the description and in the claims, are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used may be interchanged, as appropriate, such that embodiments of the present application may be implemented in sequences other than those illustrated or described herein, and that the objects identified by "first," "second," etc. are generally of a type, and are not limited to the number of objects, such as the first object may be one or more. Furthermore, in the description and claims, "and/or" means at least one of the connected objects, and the character "/", generally means that the associated object is an "or" relationship.
Referring to fig. 1, the embodiment of the application provides a preparation method of a argillaceous sandstone similar material, which comprises the following steps:
step S1, determining a target stratum, taking undisturbed rock samples from the target stratum, and testing original values of physical quantities of the undisturbed rock samples;
s2, according to the similarity ratio of the indoor simulation test, deriving the simulation value of each physical quantity in the simulation test by using a similarity theory;
s3, rock and ore identification is carried out on the undisturbed rock sample, the mineral components of the undisturbed rock sample are determined through analysis, and then the components of the argillaceous sandstone similar materials are determined;
S4, designing a mixing ratio test scheme of the muddy sandstone similar materials, preparing a mixture of the muddy sandstone similar materials, and testing the consistencies and the setting times of the mixtures with different mixing ratios;
Step S5, whether the consistency meets the requirement is evaluated, if not, the step S4 is executed in a return mode; if yes, executing step S6;
S6, placing the mixture meeting the requirements into a mould to manufacture a sample, sealing and curing the manufactured sample for a period of time, testing each physical quantity value of the sample, and carrying out regression analysis to obtain an empirical functional relation between each physical quantity and composition components of the mixture of the argillaceous sandstone similar material and the sample;
step S7, calculating and determining the optimal mixing ratio of the muddy sandstone similar materials based on an intelligent optimization algorithm;
And S8, calculating an error value between each physical quantity test value of the sample manufactured by the mixture under the optimal mixing ratio and each physical quantity analog value derived by using a similarity theory, fine-tuning the mixing ratio of the argillaceous and sandstone similar materials based on the calculated error value, and fine-tuning the mixing ratio of the argillaceous and sandstone similar materials based on the calculated error value until the error value between each physical quantity test value of the sample manufactured by the fine-tuned mixture and each physical quantity analog value derived by using the similarity theory meets the requirement.
In step S1, the original value of the physical quantity includes the dry density of the undisturbed rock sampleElastic modulus E p, uniaxial compressive StrengthAnd tensile Strength
The target formation is determined using the following method:
The diameter d p of a pile or an anchor rod in actual engineering is investigated, a target stratum needing to test the side friction resistance of the pile or the anchor rod in the argillaceous sandstone stratum is determined according to the actual condition of the field engineering, and the overburden stratum pressure is calculated
In step S2, the physical quantity simulation value comprises the diameter value of the pile or the anchor rod in the indoor simulation testOverburden formation pressure valuesDry Density valueElastic modulus valueUniaxial compressive Strength valueTensile Strength valueWherein, C l is the diameter similarity ratio of piles or anchor rods, C σv is the pressure similarity ratio of overlying strata, C ρd is the dry density similarity ratio, C E is the elastic modulus similarity ratio, C σc is the uniaxial compressive strength similarity ratio, and C σt is the tensile strength similarity ratio.
Further described, the diameter similarity ratio of the piles or the anchor rods is set to be C l and the elastic modulus similarity ratio is set to be C E according to the requirements of indoor simulation tests; and then deriving the relationship between the similarity ratio of other physical quantities and C l and C E according to the similarity theory: And further, the simulation values of the physical quantities in the indoor simulation test are derived as follows:
In step S3, rock-mineral identification (usually, polarization microscope identification, chemical analysis, X-ray analysis, differential thermal analysis, etc.) is performed on the field undisturbed rock sample, and the mineral composition of the undisturbed rock is determined by analysis; and determining the composition components of the rock similar material according to the main mineral components of the undisturbed rock and considering the similarity and the preparation easiness of the simulated material, wherein the composition components comprise coarse aggregate, fine aggregate, cementing agent, clay mineral, blending agent and additive.
In a specific embodiment, the coarse aggregate is quartz sand; the fine aggregate is one of barite powder and iron concentrate; the cementing agent is one or two of cement and gypsum, wherein the cement is ordinary Portland cement; the clay mineral is one of kaolinite and montmorillonite; the blending agent is water; the additive consists of one or two components of glycerin and gypsum retarder, and can play roles of dispersing, reducing water, retarding, improving crack resistance and the like.
In step S4, designing a mixing ratio test scheme of the argillaceous sandstone similar materials according to an orthogonal test design or a uniform test design method, including:
determining the bone cement ratio, namely the ratio of the mass of the coarse aggregate and the fine aggregate to the mass of the cementing agent is 0.5-3.0;
determining the mass ratio of coarse aggregate to fine aggregate to be 0.4-3.0;
determining the mixing amount of clay mineral, namely, the mixing amount is 5-50% of the total mass ratio of solids;
Determining the water-cement ratio, namely the mass ratio of water to cementing agent is 0.5-4;
The mixing amount of the additive is determined, namely, the glycerol accounts for 0.1 to 0.5 percent of the mass ratio of clay minerals, and the gypsum retarder accounts for 0 to 0.5 percent of the mass ratio of gypsum.
In a uniform experimental design scheme, the argillaceous sandstone similar materials comprise quartz powder sand, iron fine powder, gypsum, clay minerals and gypsum retarder.
Because the gypsum is hardened too fast, the gypsum retarder is added according to the proportion of two thousandths of the mass of the gypsum, the gypsum hardening time is delayed, the gypsum is uniformly dispersed, and the convenience and the quality of sample preparation are improved.
The blend ratio uniformity design is shown in table 1 below.
Table 1 design scheme for uniform mixing ratio
In an orthogonal design, the argillaceous sandstone-like materials include quartz silt, barite powder, cement, montmorillonite, and glycerol, with glycerol being incorporated at 0.2% of the clay mineral mass.
The blend ratio orthogonal design is shown in table 2 below.
TABLE 2 mix orthogonal design scheme
Specifically, the following method is adopted to prepare a mixture of the muddy sandstone similar materials:
Step 1, sequentially weighing iron fine powder, gypsum retarder, clay mineral and quartz powder sand with corresponding weights, and placing the iron fine powder, gypsum retarder, clay mineral and quartz powder sand in a stirring pot for dry stirring for 1.5-5min;
it should be noted that the consistencies D ns and setting times t cd of the different mix ratios were tested, wherein consistencies D ns could be tested according to the skip-desk or cone-in method, with reference to highway engineering cement and cement concrete test protocol JTG 3420-2020.
And 2, weighing water with corresponding weight, slowly adding the water into a stirring pot for wet mixing for 1.5-5min in three times.
The mixed mixture is poured into the mould for three times, the mould filled with the mixture is placed on a vibrating table for vibration every time, and the vibration can be stopped without bubbles on the surface of the mixture. After the last vibration is finished, scraping the surface of the material by a scraper, packaging the sample by a preservative film, and curing in a sealed environment.
And after the sample reaches a certain strength (the concrete material is 24 h), demolding is carried out, and then the sample is placed in a sealed environment for curing 14d.
After curing for 14d, a sample is obtained, and each physical value of the sample, namely the dry density of the similar material, is tested in a roomElastic modulus E m, uniaxial compressive StrengthAnd tensile StrengthWherein dry densityMeasured according to the standard DZ/T0276.4 recommended method of geological mineral products industry of the people's republic of China, uniaxial compressive strengthAnd modulus of elasticity E m measured according to DZ/T0276.19 recommended method, tensile StrengthMeasured according to the DZ/T0276.21 recommended method.
In step S6, based on the measured consistency D ns, setting time t cd and dry density of the sample of the argillaceous sandstone-like material mixture with different mixing ratiosElastic modulus E m, uniaxial compressive StrengthAnd tensile StrengthAnd obtaining the empirical functional relation between the values and the components (mixing ratio) of the muddy sandstone similar materials by adopting a weighted regression analysis method:
Dns=g1(X)=g1(x1,x2,…,xs)
tcd=g2(X)=g2(x1,x2,…,xs)
Em=h2(X)=h2(x1,x2,…,xs)
Wherein D ns is the consistency of the mixture; t cd is the clotting time; x=x 1,x2,…,xs, where X 1,x2,…,xs is a argillaceous sandstone-like material; s is the content (ratio) of the constituent components; g 1(·)、g2(·)、h1(·)、h2(·)、h3 (. Cndot.) and h 4 (. Cndot.) are polynomial functions.
In step S7, the optimal mixing ratio of the muddy sandstone similar materials is calculated and determined based on an intelligent optimization algorithm, and the method specifically comprises the following steps:
Taking the consistency and the setting time of the muddy sandstone similar material mixture to meet the test operation requirement, and the physical quantity of the similar material sample to be equal to the simulation value of each physical quantity in the simulation test derived according to the similar theoretical analysis as constraint conditions, and constructing the following optimized mathematical model by using the test cost objective function:
s.t. Dns=g1(X)≥[Dns]
tcd=g2(X)≥[tcd]
Em=h2(X)=[Em]
wherein C total is the total cost; f (X) is an objective function; c i is a price coefficient of an ith component obtained by conversion according to market price, and i is a positive integer; other symbols are the same as before;
because the optimization mathematical model is a complex optimization problem containing both equality and inequality constraints, the optimization mathematical model is converted into the following unconstrained optimization function form by adopting an outer point penalty function method for solving the complex optimization problem:
Wherein r is a penalty factor, which is a sequence from small to large and approaching ++i.e. r 0<r1<r2<…<rk → ≡; the recursive formula for r is r k=crk-1, where c is an increasing coefficient, typically taking c=5-10;
Solving the optimization problem by adopting an ant colony optimization search algorithm to obtain an optimal solution Namely, the calculated optimal mixing ratio of the components of the muddy sandstone similar materials is
The ant colony optimization search algorithm comprises the following calculation steps:
Step 1, initializing:
nc≡iteration times; m is the number of ants; Δτ i←0,τi ≡c (smaller positive constant);
count≡1 (outer loop);
step 2, randomly generating a solution X (k) in the definition range of the variable X for each ant k, and calculating a corresponding evaluation function value, namely an objective function value Z k;
Z * +.the current best evaluation function value, X * +.X corresponding to Z *;
Step 3, setting s≡1; (internal circulation);
Step4, for each ant k:
replacing X (k) with X (j),Δτj←Δτj +Q according to the transition probability P kj, wherein Q is the pheromone left by the unit ants;
Local search is carried out on X (k) by using a neighborhood radius r n, and Z * and X * are updated;
Step 5, setting s++s 1;
step 6, if s is less than or equal to nc (can be self-determined) for a preset number of times, the step 4 is carried out;
Step 7, for each ant k: τ k←ρ·τk+Δτk;Δτk ≡0;
Step 8.r n←rn ×99%;
step 9.Count≡count+1; if < nc, go to step 2;
Step 10, outputting Z * and X *;
for m randomly distributed ants, the calculation method of the transition probability of the ant i to the ant j is as follows:
Wherein τ j is the number of pheromones in the neighborhood of ant j, j=1, 2, … and m; α and β are non-negative parameters, and α=β=1 is desirable; Δz ij=Zi-Zj, where Z i and Z j are the evaluation function values, i.e. objective function values, of ant i and ant j, respectively.
In step S8, the error value is calculated by the following method:
According to the optimal mixing ratio of the components of the muddy sandstone similar materials obtained by optimization analysis And preparing the mixture according to the step S4, and testing the consistency/>, of the mixtureAnd clotting time
Preparing a sample and measuring the dry density of the sampleModulus of elasticityUniaxial compressive StrengthAnd tensile StrengthA value;
calculating error values between each physical quantity test value of a sample prepared by the mixture under the optimal mixing ratio and each physical quantity simulation value derived by using a similarity theory, namely:
Dry density error:
Elastic modulus error:
Uniaxial compressive strength error:
Tensile strength error:
Referring to fig. 2 again, the embodiment of the application also provides a preparation system of the muddy sandstone similar materials for implementing the method, which comprises a physical quantity original value test module 1, a physical quantity analog value export module 2, a similar material composition determining module 3, a mixture test module 4, a consistency evaluation module 5, an empirical function relation deriving module 6, an optimal blending ratio calculating module 7 and a fine adjustment module 8.
And the physical quantity original value testing module 1 is used for determining a target stratum, taking an undisturbed rock sample from the target stratum and testing the original values of the physical quantities.
And the physical quantity analog value deriving module 2 is used for deriving each physical quantity analog value in the simulation test by utilizing the similarity theory according to the similarity ratio of the indoor simulation test.
And the similar material composition determining module 3 is used for carrying out rock-ore identification on the undisturbed rock sample, analyzing and determining mineral compositions of the undisturbed rock sample, and then determining the composition of the argillaceous sandstone similar material.
And the mixture testing module 4 is used for designing a mixing ratio test scheme of the muddy sandstone similar materials, preparing the mixture of the muddy sandstone similar materials, and testing the consistencies and the setting times of the mixtures with different mixing ratios.
A consistency assessment module 5 for assessing whether the consistency meets the requirements.
And the empirical functional relation obtaining module 6 is used for testing each physical quantity of the sample, and regression analysis is carried out to obtain the empirical functional relation between each physical quantity and the composition of the mixture of the argillaceous sandstone similar materials and the sample.
And the optimal matching ratio calculation module 7 is used for calculating and determining the optimal matching ratio of the muddy sandstone similar materials based on an intelligent optimization algorithm.
And a fine adjustment module 8 for calculating an error value between each physical quantity test value of the sample with an optimal blending ratio and each physical quantity analog value derived by using a similarity theory, and fine-adjusting the blending ratio of the muddy sandstone-like similar material based on the calculated error value.
The embodiment of the application has the beneficial effects that:
1. Adopting an orthogonal test design or a uniform test design method to design a similar material mixing ratio test scheme, and taking whether the consistency and the setting time of the mixture meet the standard requirements or not as constraints to prepare a sample of the muddy sandstone similar material;
2. Testing each physical quantity value of the sample, and obtaining an empirical function relation between each physical quantity value and each component (mixing ratio) by adopting a weighted regression analysis method based on the measured physical quantity values of the muddy sandstone similar material mixtures with different mixing ratios;
3. the test cost is taken as an objective function, an optimized mathematical model is constructed, and an intelligent algorithm is adopted to calculate and obtain the optimal mixing ratio of each component of the muddy sandstone similar material, so that the test cost is reduced;
4. Through the design of the mixing proportion of the similar materials of the argillaceous sandstone, the relation between each component and the physical magnitude of the mixture can be obtained, and the similar materials of the argillaceous sandstone meeting the requirements of an indoor simulation test can be prepared based on a similarity theory, so that the device can be used for testing the side friction resistance of piles or anchor rods in the argillaceous sandstone stratum.
It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.
Furthermore, it should be noted that the scope of the methods and systems in the embodiments of the present application is not limited to performing the functions in the order shown or discussed, but may also include performing the functions in a substantially simultaneous manner or in an opposite order depending on the functions involved, e.g., the described methods may be performed in an order different from that described, and various steps may also be added, omitted, or combined. Additionally, features described with reference to certain examples may be combined in other examples.
The embodiments of the present application have been described above with reference to the accompanying drawings, but the present application is not limited to the above-described embodiments, which are merely illustrative and not restrictive, and many forms may be made by those having ordinary skill in the art without departing from the spirit of the present application and the scope of the claims, which are to be protected by the present application.
Claims (2)
1. The preparation method of the argillaceous sandstone similar material is characterized by comprising the following steps of:
Step S1, determining a target stratum, taking an undisturbed rock sample from the target stratum, testing original values of physical quantities of the undisturbed rock sample, and determining the target stratum by adopting the following method: the diameter d p of a pile or an anchor rod in actual engineering is investigated, a target stratum needing to test the side friction resistance of the pile or the anchor rod in the argillaceous sandstone stratum is determined according to the actual condition of the field engineering, and the overburden stratum pressure is calculated
The original value of the physical quantity comprises the dry density of the undisturbed rock sampleElastic modulus E p, uniaxial compressive StrengthAnd tensile Strength
Step S2, according to the similarity ratio of the indoor simulation test, deriving the simulation values of each physical quantity in the simulation test by utilizing a similarity theory, wherein the simulation values of each physical quantity comprise the diameter values of the piles or the anchors in the indoor simulation testOverburden formation pressure take-offDry Density valueElastic modulus valueUniaxial compressive Strength valueTensile Strength valueWherein, C l is the diameter similarity ratio of piles or anchor rods, C σv is the pressure similarity ratio of an overlying stratum, C ρd is the dry density similarity ratio, C E is the elastic modulus similarity ratio, C σc is the uniaxial compressive strength similarity ratio, and C σt is the tensile strength similarity ratio;
Step S3, rock and ore identification is carried out on the undisturbed rock sample, the mineral components of the undisturbed rock sample are determined through analysis, then the components of the argillaceous sandstone similar materials are determined, the components of the argillaceous sandstone similar materials comprise aggregate, cementing agent, clay mineral, blending agent and additive, and the steps are that:
the aggregate comprises coarse aggregate and fine aggregate;
the coarse aggregate is quartz sand;
the fine aggregate is one of barite powder and iron concentrate;
the cementing agent is one or two of cement and gypsum, wherein the cement is ordinary Portland cement;
the clay mineral is one of kaolinite and montmorillonite;
The blending agent is water;
the additive is one or two of glycerol and gypsum retarder;
s4, designing a mixing ratio test scheme of the argillaceous sandstone similar materials according to an orthogonal test design or a uniform test design method, preparing a mixture of the argillaceous sandstone similar materials, testing consistencies and setting times of the mixture with different mixing ratios, and designing the mixing ratio test scheme of the argillaceous sandstone similar materials according to the orthogonal test design or the uniform test design method, wherein the mixing ratio test scheme comprises the following steps:
determining the bone cement ratio, namely the ratio of the mass of the coarse aggregate and the fine aggregate to the mass of the cementing agent is 0.5-3.0;
determining the mass ratio of coarse aggregate to fine aggregate to be 0.4-3.0;
determining the mixing amount of clay mineral, namely, the mixing amount is 5-50% of the total mass ratio of solids;
Determining the water-cement ratio, namely the mass ratio of water to cementing agent is 0.5-4;
Determining the doping amount of the additive, namely, the mass ratio of glycerin to clay mineral is 0.1-0.5%, and the mass ratio of gypsum retarder to gypsum is 0-0.5%;
the method is used for preparing the mixture of the muddy sandstone similar materials:
sequentially weighing coarse aggregate, fine aggregate, cementing agent and clay mineral with corresponding weights, and placing in a stirring pot for dry stirring for 1.5-5min;
then weighing water with corresponding weight, slowly adding the water into a stirring pot for wet mixing for 1.5-5min in three times;
Step S5, whether the consistency meets the requirement is evaluated, if not, the step S4 is executed in a return mode; if yes, executing step S6;
S6, placing the mixture meeting the requirements into a mould to manufacture a sample, sealing and curing the manufactured sample for 14d, and then testing physical quantities of the sample to obtain an empirical functional relation between the physical quantities and the components of the mixture of the argillaceous sandstone similar material and the sample by regression analysis, wherein the physical quantities of the sample comprise the dry density of the similar material Elastic modulus E m, uniaxial compressive StrengthAnd tensile Strength
The empirical functional relationship is:
Dns=g1(X)=g1(x1,x2,…,xs)
tcd=g2(X)=g2(x1,x2,…,xs)
Em=h2(X)=h2(x1,x2,…,xs)
Wherein D ns is the consistency of the mixture; t cd is the clotting time; x=x 1,x2,…,xs, where X 1,x2,…,xs is a argillaceous sandstone-like material; s is the content of the constituent components; g 1(·)、g2(·)、h1(·)、h2(·)、h3 (·) and h 4 (·) are polynomial functions;
step S7, calculating and determining the optimal mixing ratio of the muddy sandstone similar materials based on an intelligent optimization algorithm, and specifically comprising the following steps:
Taking the consistency and the setting time of the muddy sandstone similar material mixture to meet the test operation requirement, and the physical quantity of the similar material sample to be equal to the simulation value of each physical quantity in the simulation test derived according to the similar theoretical analysis as constraint conditions, and constructing the following optimized mathematical model by using the test cost objective function:
s.t.Dns=g1(X)≥[Dns]
tcd=g2(X)≥[tcd]
Em=h2(X)=[Em]
Wherein C total is the total cost; f (X) is an objective function; c i is the price coefficient of the ith component obtained by conversion according to the market price;
An external point punishment function method is adopted to convert the optimized mathematical model into the following unconstrained optimized function form:
Wherein r is a penalty factor, which is a sequence from small to large and approaching ++i.e. r 0<r1<r2<…<rk → ≡; the recursive formula of r is r k=crk-1, wherein c is an increment coefficient, and c=5-10 is taken;
Solving by adopting an ant colony optimization search algorithm to obtain an optimal solution Namely, the calculated optimal mixing ratio of the components of the muddy sandstone similar materials is
Step S8, calculating error values between each physical quantity test value of a sample prepared from the mixture under the optimal mixing ratio and each physical quantity analog value derived by using a similarity theory, and carrying out fine adjustment on the mixing ratio of the argillaceous sandstone similar materials based on the calculated error values, wherein the error values are calculated by adopting the following method:
According to the optimal mixing ratio of the components of the muddy sandstone similar materials obtained by optimization analysis The mixture was formulated and tested for consistencyAnd clotting time
Preparing a sample and measuring the dry density of the sampleModulus of elasticityUniaxial compressive StrengthAnd tensile StrengthA value;
calculating error values between each physical quantity test value of a sample prepared by the mixture under the optimal mixing ratio and each physical quantity simulation value derived by using a similarity theory, namely:
Dry density error:
Elastic modulus error:
Uniaxial compressive strength error:
Tensile strength error:
2. a argillaceous sandstone-like material preparation system for implementing the method of claim 1, comprising:
The physical quantity original value testing module is used for determining a target stratum, taking undisturbed rock samples from the target stratum, testing original values of physical quantities of the undisturbed rock samples, and determining the target stratum by adopting the following method: the diameter d p of a pile or an anchor rod in actual engineering is investigated, a target stratum needing to test the side friction resistance of the pile or the anchor rod in the argillaceous sandstone stratum is determined according to the actual condition of the field engineering, and the overburden stratum pressure is calculated
The original value of the physical quantity comprises the dry density of the undisturbed rock sampleElastic modulus E p, uniaxial compressive StrengthAnd tensile Strength
The physical quantity analog value deriving module is used for deriving each physical quantity analog value in the analog test by utilizing the similarity theory according to the similarity ratio of the indoor analog test, wherein the physical quantity analog value comprises the diameter value of the pile or the anchor rod in the indoor analog testOverburden formation pressure valuesDry Density valueElastic modulus valueUniaxial compressive Strength valueTensile Strength valueWherein, C l is the diameter similarity ratio of piles or anchor rods, C σv is the pressure similarity ratio of an overlying stratum, C ρd is the dry density similarity ratio, C E is the elastic modulus similarity ratio, C σc is the uniaxial compressive strength similarity ratio, and C σt is the tensile strength similarity ratio;
The similar material composition determining module is used for carrying out rock-ore identification on the undisturbed rock sample, analyzing and determining mineral compositions of the undisturbed rock sample, and then determining the composition of the argillaceous sandstone similar material, wherein the argillaceous sandstone similar material composition comprises aggregate, cementing agent, clay mineral, blending agent and additive, and the method comprises the following steps:
the aggregate comprises coarse aggregate and fine aggregate;
the coarse aggregate is quartz sand;
the fine aggregate is one of barite powder and iron concentrate;
the cementing agent is one or two of cement and gypsum, wherein the cement is ordinary Portland cement;
the clay mineral is one of kaolinite and montmorillonite;
The blending agent is water;
the additive is one or two of glycerol and gypsum retarder;
the mixture testing module is used for designing a mixing ratio test scheme of the muddy sandstone similar materials according to an orthogonal test design or a uniform experiment design method, preparing the mixture of the muddy sandstone similar materials, testing the consistencies and the setting times of the mixture with different mixing ratios, and designing the mixing ratio test scheme of the muddy sandstone similar materials according to the orthogonal test design or the uniform experiment design method, wherein the mixing ratio test scheme comprises the following steps:
determining the bone cement ratio, namely the ratio of the mass of the coarse aggregate and the fine aggregate to the mass of the cementing agent is 0.5-3.0;
determining the mass ratio of coarse aggregate to fine aggregate to be 0.4-3.0;
determining the mixing amount of clay mineral, namely, the mixing amount is 5-50% of the total mass ratio of solids;
Determining the water-cement ratio, namely the mass ratio of water to cementing agent is 0.5-4;
Determining the doping amount of the additive, namely, the mass ratio of glycerin to clay mineral is 0.1-0.5%, and the mass ratio of gypsum retarder to gypsum is 0-0.5%;
the method is used for preparing the mixture of the muddy sandstone similar materials:
sequentially weighing coarse aggregate, fine aggregate, cementing agent and clay mineral with corresponding weights, and placing in a stirring pot for dry stirring for 1.5-5min;
then weighing water with corresponding weight, slowly adding the water into a stirring pot for wet mixing for 1.5-5min in three times;
a consistency assessment module for assessing whether a consistency meets a requirement;
an empirical functional relation obtaining module for testing each physical quantity of the sample, regression analysis to obtain the mixture of the argillaceous sandstone similar materials and the empirical functional relation between each physical quantity and the constituent components of the sample, wherein each physical quantity of the sample comprises the dry density of the similar materials Elastic modulus E m, uniaxial compressive StrengthAnd tensile Strength
The empirical functional relationship is:
Dns=g1(X)=g1(x1,x2,…,xs)
tcd=g2(X)=g2(x1,x2,…,xs)
Em=h2(X)=h2(x1,x2,…,xs)
Wherein D ns is the consistency of the mixture; t cd is the clotting time; x=x 1,x2,…,xs, where X 1,x2,…,xs is a argillaceous sandstone-like material; s is the content of the constituent components; g 1(·)、g2(·)、h1(·)、h2(·)、h3 (·) and h 4 (·) are polynomial functions;
the optimal matching ratio calculation module is used for calculating and determining the optimal matching ratio of the muddy sandstone similar materials based on an intelligent optimization algorithm, and specifically comprises the following steps:
Taking the consistency and the setting time of the muddy sandstone similar material mixture to meet the test operation requirement, and the physical quantity of the similar material sample to be equal to the simulation value of each physical quantity in the simulation test derived according to the similar theoretical analysis as constraint conditions, and constructing the following optimized mathematical model by using the test cost objective function:
s.t.Dns=g1(X)≥[Dns]
tcd=g2(X)≥[tcd]
Em=h2(X)=[Em]
Wherein C total is the total cost; f (X) is an objective function; c i is the price coefficient of the ith component obtained by conversion according to the market price;
An external point punishment function method is adopted to convert the optimized mathematical model into the following unconstrained optimized function form:
Wherein r is a penalty factor, which is a sequence from small to large and approaching ++i.e. r 0<r1<r2<…<rk → ≡; the recursive formula of r is r k=crk-1, wherein c is an increment coefficient, and c=5-10 is taken;
Solving by adopting an ant colony optimization search algorithm to obtain an optimal solution Namely, the calculated optimal mixing ratio of the components of the muddy sandstone similar materials is
The fine adjustment module is used for calculating error values between each physical quantity test value of a sample prepared from the mixture under the optimal mixing ratio and each physical quantity analog value derived by utilizing a similarity theory, and carrying out fine adjustment on the mixing ratio of the argillaceous sandstone similar materials based on the calculated error values, wherein the error values are calculated by adopting the following method:
According to the optimal mixing ratio of the components of the muddy sandstone similar materials obtained by optimization analysis The mixture was formulated and tested for consistencyAnd clotting time
Preparing a sample and measuring the dry density of the sampleModulus of elasticityUniaxial compressive StrengthAnd tensile StrengthA value;
calculating error values between each physical quantity test value of a sample prepared by the mixture under the optimal mixing ratio and each physical quantity simulation value derived by using a similarity theory, namely:
Dry density error:
Elastic modulus error:
Uniaxial compressive strength error:
Tensile strength error:
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CN115964931A (en) * | 2022-11-04 | 2023-04-14 | 广西大学 | Theory, method and formula for preparing materials with similar dynamic and static characteristics of rock high-strength Gao Cui |
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