CN114493012A - Method and device for predicting creep instability of cemented filling body by considering hardening damage synergistic effect - Google Patents
Method and device for predicting creep instability of cemented filling body by considering hardening damage synergistic effect Download PDFInfo
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Abstract
The invention provides a method and a device for predicting creep instability of a cemented filling body by considering a hardening damage synergistic effect, which can accurately predict the creep instability of the cemented filling body. The method comprises the following steps: step 1, performing creep test on a cemented filling body sample to be predicted to obtain multiple groups of creep test data under different stress levels, wherein each group of creep test data corresponds to series strain data of the sample changing along with time under one stress level; step 2, substituting creep test data into the following constitutive equation considering the hardening damage synergistic effect to perform fitting to obtain other parameters; step 3, predicting and judging the creep characteristics of the cemented filling body and whether the creep instability critical state is reached; based on glueDetermining a critical prediction index mu of creep hardening instability of the cemented filling body by using a critical prediction equation of creep damage of the cemented filling body and a critical prediction equation of creep hardening of the cemented filling body1And critical prediction index mu of injury instability2Then according to μ1And mu2The value of (c) is predicted and judged.
Description
Technical Field
The invention belongs to the technical field of rock engineering, and particularly relates to a method and a device for predicting creep instability of a cemented filling body by considering a hardening damage synergistic effect.
Background
The filling mining method has the advantages of high resource recovery rate, capability of effectively preventing surface movement caused by mining, contribution to environmental protection, safety and the like, and great significance and great application, and fills the goaf with the filling materials along with the advance of the working face so as to carry out ground pressure management, control confining pressure collapse and surface settlement, create safe and convenient conditions for stoping work, and the cemented filling body is used as an artificial ore pillar, is an important guarantee for mine safety mining, supports overlying strata in a stope for a long time, has creep characteristics directly related to the long-term stability of engineering, and can accurately and effectively probe the creep characteristics of the cemented filling body.
The material of the cemented filling body can be hardened in the constant load stress process, and meanwhile, certain damage and damage occur, so that a complex synergistic effect is generated, and the effect determines the creep process of the cemented filling body. However, the existing method cannot simultaneously consider the influence of hardening and damage on the material, predict the instability of the material only according to a single factor, and cannot fully reflect and reflect the actual creep process of the cemented filling body, so that accurate prediction cannot be achieved.
Disclosure of Invention
The present invention has been made to solve the above problems, and an object of the present invention is to provide a method and an apparatus for predicting creep instability of a cemented filling material, which can accurately predict the creep instability of the cemented filling material, in consideration of the synergistic effect of hardening damage.
In order to achieve the purpose, the invention adopts the following scheme:
< method >
The invention provides a method for predicting creep instability of a cemented filling body by considering a hardening damage synergistic effect, which is characterized by comprising the following steps of:
step 1, performing creep test on a cemented filling body sample to be predicted to obtain multiple groups of creep test data under different stress levels, wherein each group of creep test data corresponds to series strain epsilon data of the sample changing along with time t under a stress sigma level;
where eta is viscosity coefficient, C, beta, r are material constants relevant to hardening performance, E0Alpha is the damage factor in the damage function for the initial elastic modulus;
step 3, predicting and judging the creep characteristics of the cemented filling body and whether the creep instability critical state is reached; equation considering creep hardening effect of cementitious fillers:
equation considering creep damage effect of cemented filling mass:
in the formula, Δ ε1Delta. epsilon. for creep hardening strain growth2Delta. epsilon. for creep damage strain growth1And Δ ε2The difference of (c) is equal to the total amount of strain increase Δ ∈ per unit time.
Based on the equation, the creep hardening effect index mu of the characterized cemented filling body can be obtained1And damage effect index mu2:
According to μ1And mu2The value of (c) is predicted and judged.
Preferably, according to μ1、μ2Predicting and judging the creep characteristics and instability critical states of the cemented filling body: according to μ1And mu2Obtaining the critical prediction index mu of creep instability of the cemented filling body considering the synergistic effect of hardening damage1+μ2When mu is larger than or equal to 3.570, predicting and judging that the cemented filling body enters a destabilization critical state due to the continuous synergistic effect of creep hardening and damage; when mu is1>μ2When the creep hardening effect of the cemented filling body is predicted and judged to be dominant, when mu is1=μ2Predicting and judging the creep hardening effect and the damage effect of the cemented filling body at the moment, and when the creep hardening effect and the damage effect are mutually counteracted1<μ2And predicting and judging the creep damage effect of the cemented filling body at the moment.
Preferably, the method for predicting creep instability of the cemented filling body considering the synergistic effect of hardening damage provided by the invention can also have the following characteristics: in step 1, the creep test should acquire at least one set of data at a general stress level that does not completely destroy the specimen and at least one set of data at a limit stress level that does completely destroy the specimen, and each stress level takes at least 20 test data points; under a common stress level, taking test data every 10-15 minutes in 0-2 hours on average, and taking test data every 30-40 minutes in 2-8 hours on average; at the ultimate stress level, test data is taken on average every 10-15 minutes until the specimen is completely destroyed.
< apparatus >
Further, the present invention provides a device for predicting creep instability of a cemented filling body in consideration of a synergistic effect of hardening damage, comprising:
the test data acquisition part is used for acquiring a plurality of groups of creep test data of the cemented filling body sample to be predicted under different stress levels, and each group of creep test data corresponds to series strain epsilon data of the sample changing along with time t under one stress sigma level;
the fitting part is used for substituting each group of creep test data acquired by the test data acquisition part into the following constitutive equation considering the hardening damage synergistic effect to perform fitting to obtain other parameters;
where eta is viscosity coefficient, C, beta, r are material constants relevant to hardening performance, E0Alpha is the damage factor in the damage function for the initial elastic modulus;
and a prediction unit for predicting and judging the creep characteristics of the cementitious filler and whether the critical state of creep instability is reached.
Equation considering creep hardening effect of cementitious fillers:
an equation that considers the effects of creep damage of a cemented filling mass:
in the formula, Δ ε1Delta. epsilon. for creep hardening strain growth2Delta. epsilon. for creep damage strain growth1And Δ ε2The difference is equal to the total strain increase amount delta epsilon in unit time;
based on the equation, the creep hardening effect index mu of the characterized cemented filling body can be obtained1And damage effect index mu2;
According to μ1And mu2The value of (c) is predicted and judged.
And the control part is communicated with the test data acquisition part, the fitting part and the prediction part and controls the operation of the test data acquisition part, the fitting part and the prediction part.
Preferably, the device for predicting creep instability of cemented filling mass considering the synergistic effect of hardening damage provided by the invention may further include: and the input display part is in communication connection with the test data acquisition part, the fitting part, the prediction part and the control part and is used for allowing a user to input an operation instruction and performing corresponding display.
Preferably, the device for predicting creep instability of the cemented filling body considering the synergistic effect of hardening damage provided by the invention can also have the following characteristics: the input display unit may display the test data acquired by the test data acquisition unit in a list or graph, may display the fitting state of the fitting unit, and may display the prediction result of the prediction unit.
Preferably, according to μ1、μ2Predicting and judging the creep characteristics and instability critical states of the cemented filling body: according to μ1And mu2Obtaining the critical prediction index mu of creep instability of the cemented filling body considering the synergistic effect of hardening damage1+μ2When mu is larger than or equal to 3.570, predicting and judging that the cemented filling body enters a destabilization critical state due to the continuous synergistic effect of creep hardening and damage; when mu is1>μ2When the creep hardening effect of the cemented filling body is predicted and judged to be dominant, when mu1=μ2Predicting and judging the creep hardening effect and the damage effect of the cemented filling body at the moment, and when the creep hardening effect and the damage effect are mutually counteracted1<μ2And predicting and judging the creep damage effect of the cemented filling body at the moment.
Preferably, the device for predicting creep instability of the cemented filling body considering the synergistic effect of hardening damage provided by the invention can also have the following characteristics: in the test data acquisition section, the creep test should acquire at least one set of data at a general stress level at which the specimen is not completely broken and at least one set of data at an ultimate stress level at which the specimen is completely broken, and each stress level takes at least 20 test data points; under a common stress level, taking test data every 10-15 minutes in 0-2 hours on average, and taking test data every 30-40 minutes in 2-8 hours on average; at the ultimate stress level, test data is taken on average every 10-15 minutes until the specimen is completely destroyed.
Action and Effect of the invention
By the method, the synergistic effect of hardening and damage is considered in the instability prediction process of the cemented filling body, the creep characteristic of the cemented filling body can be effectively reflected, and the creep process of the cemented filling body is accurately reflected, so that an accurate instability prediction result is obtained, and reliable technical support is provided for long-term stability of the cemented filling body and safe production of mines.
Drawings
FIG. 1 shows that the mass ratio of the ash to the sand in the embodiment of the invention is 1:10, fitting a curve graph of a creep constitutive equation of the cemented filling body;
FIG. 2 shows a mass ratio of sand to ash of 1:4 fitting curve chart of creep constitutive equation of the cemented filling body.
Detailed Description
The following describes in detail specific embodiments of a method and an apparatus for predicting creep instability of a cemented filling body in consideration of the synergistic effect of hardening damage according to the present invention with reference to the drawings.
< example >
The method for predicting the creep instability of the cemented filling body by considering the synergistic effect of hardening damage comprises the following steps:
step 1, performing creep test on a cemented filling body sample to be predicted, and acquiring multiple groups of creep test data under different stress levels, wherein each group of creep test data corresponds to series strain epsilon data of the sample changing along with time t under a stress sigma level.
Creep testing should take at least one set of data at a general stress level that will not completely fail the specimen and at least one set of data at an extreme stress level that will completely fail the specimen, and take at least 20 test data points per stress level.
Under a common stress level, taking test data every 10-15 minutes in 0-2 hours on average, and taking test data every 30-40 minutes in 2-8 hours on average.
At the ultimate stress level, test data is taken on average every 10-15 minutes until the specimen is completely destroyed.
where eta is viscosity coefficient, C, beta, r are material constants relevant to hardening performance, E0Alpha is the damage factor in the damage function for the initial elastic modulus.
In this embodiment, a uniaxial creep test is performed on a cemented filling body sample to obtain creep test data, the creep test data of the cemented filling body sample is processed by using a least square method to obtain creep constitutive model parameters of the cemented filling body sample, comparative information of theory of the cemented filling body and the test data (see fig. 1 and fig. 2, tables 1 and 2) is obtained, a theoretical curve of the cemented filling body sample under the uniaxial creep test is obtained to be identical to the test data result, and the fitting degree is more than 0.98.
TABLE 1 Ash-Sand Mass ratio 1:10 Cement Filler creep constitutive model parameter information
TABLE 2 Ash-Sand Mass ratio 1:4 Cement Filler creep constitutive model parameter information
And 3, predicting and judging the creep characteristics of the cemented filling body and whether the critical state of creep instability is achieved.
Equation considering creep hardening effect of cementitious fillers:
equation considering creep damage effect of cemented filling mass:
in the formula, Δ ε1Delta. epsilon. for creep hardening strain growth2Delta. epsilon. for creep damage strain growth1And Δ ε2The difference of (c) is equal to the total amount of strain increase Δ ∈ per unit time.
Based on the equation, the creep hardening effect index mu of the characterized cemented filling body can be obtained1And damage effect index mu2:
According to the index μ1And mu2And obtaining a critical prediction index of creep instability of the cemented filling body considering the synergistic effect of hardening damage: mu-mu1+μ2。
According to μ1、μ2And mu value prediction and judgment of creep characteristics and instability critical state of the cemented filling body: when mu is1>μ2When the creep hardening effect of the cemented filling body is predicted and judged to be dominant, when mu1=μ2Predicting and judging the creep hardening effect and the damage effect of the cemented filling body at the moment, and when the creep hardening effect and the damage effect are mutually counteracted1<μ2And when the mu is more than or equal to 3.570, predicting and judging that the cemented filling body enters a destabilization critical state due to the continuous synergistic effect of creep hardening and damage.
Taking the ash sand in a mass ratio of 1:10 at a stress level of 2.04MPa, the creep-hardening strain growth delta epsilon of the cemented-infill sample is predicted to be 5-6 h after the cemented-infill sample is stressed1At 0.0244, at which time mu1Value 1.1373, creep damage strain growth Δ ε20.0139 in this case2A value of 1.0258, which gives μ2Value less than mu1The creep hardening effect of the cemented filling body at the moment can be judged to be dominant, and the mu value at the moment is 2.1631 and does not exceed the critical value of 3.570, namely the cemented filling body does not enter a creep critical instability state and is not damaged later;
taking the ash sand in a mass ratio of 1:10 at a stress level of 5.10MPa, the creep-hardening strain growth delta epsilon of the cemented-infill sample is predicted to be 0.5-1 h after the cemented-infill sample is stressed10.2737, in this case,. mu.1Value 1.4415, creep damage strain growth Δ ε20.6079, in this case,. mu.2A value of 2.3958, which gives μ2Value greater than mu1And judging that the creep damage effect of the cemented filling body is dominant at the moment, wherein the mu value is 3.8373 and exceeds the critical value of 3.570, namely the cemented filling body enters a creep critical instability state. The test result is consistent with the prediction result, and after the creep instability critical state is reached, the creep damage of the cemented filling body is rapidly accumulated, so that the method is suitable for the cement-filled concreteThe time creep damage accumulation can not be estimated, uncertainty exists, and after one hour passes, the final instability damage of the cemented filling body proves that the method can provide effective early warning for the creep instability damage of the cemented filling body.
Further, the present embodiment also provides a creep instability prediction apparatus for a cemented filling body, which can automatically implement the method, and the apparatus includes a test data acquisition unit, a fitting unit, a prediction unit, an input display unit, and a control unit.
The test data acquisition part is used for acquiring a plurality of groups of creep test data of the cemented filling body sample to be predicted under different stress levels, and each group of creep test data corresponds to series strain epsilon data of the sample changing along with time t under one stress sigma level.
The fitting part brings each group of creep test data acquired by the test data acquisition part into the following constitutive equation considering the hardening damage synergistic effect to perform fitting to obtain other parameters;
where eta is viscosity coefficient, C, beta, r are material constants relevant to hardening performance, E0Alpha is the damage factor in the damage function for the initial elastic modulus;
the predicting part predicts and judges whether the cemented filling body reaches the critical state of creep hardening and damage instability by adopting the method described in the step 3.
The input display part is in communication connection with the test data acquisition part, the fitting part, the prediction part and the control part and is used for enabling a user to input an operation instruction and performing corresponding display. For example, the input display unit may display the test data acquired by the test data acquisition unit in a list or graph, may display the fitting state of the fitting unit, and may display the prediction result of the prediction unit.
The control part is connected with the test data acquisition part, the fitting part, the prediction part and the input display part in a communication way and controls the operation of the test data acquisition part, the fitting part, the prediction part and the input display part.
The above embodiments are merely illustrative of the technical solutions of the present invention. The method and apparatus for predicting creep instability of cemented filling bodies in consideration of synergistic effects of hardening and damage according to the present invention are not limited to the descriptions in the above embodiments, but are subject to the scope defined by the following claims. Any modification or supplement or equivalent replacement made by a person skilled in the art on the basis of this embodiment is within the scope of the invention as claimed in the claims.
Claims (8)
1. The method for predicting the creep instability of the cemented filling body by considering the synergistic effect of hardening damage is characterized by comprising the following steps of:
step 1, performing creep test on a cemented filling body sample to be predicted to obtain multiple groups of creep test data under different stress levels, wherein each group of creep test data corresponds to series strain epsilon data of the sample changing along with time t under a stress sigma level;
step 2, substituting each group of creep test data obtained in the step 1 into the following constitutive equation considering the hardening damage synergistic effect to perform fitting to obtain other parameters;
where eta is viscosity coefficient, C, beta, r are material constants relevant to hardening performance, E0Alpha is the damage factor in the damage function for the initial elastic modulus;
step 3, predicting and judging the creep characteristics of the cemented filling body and whether the creep instability critical state is reached;
equation considering creep hardening effect of cementitious fillers:
equation considering creep damage effect of cemented filling mass:
in the formula, Δ ε1Delta. epsilon. for creep hardening strain growth2Δ ε is an amount of creep damage strain increase1And Δ ε2The difference is equal to the total strain increase amount delta epsilon in unit time;
obtaining the creep hardening effect index mu of the characterized cemented filling body based on the equation1And damage effect index mu2:
According to μ1And mu2The value of (c) is predicted and judged.
2. The method for predicting creep instability of a cemented filling body considering the synergistic effect of hardening and damage according to claim 1, wherein:
wherein, in step 3, according to μ1And mu2And obtaining a critical prediction index of creep instability of the cemented filling body considering the synergistic effect of hardening damage: mu-mu1+μ2When mu is larger than or equal to 3.570, predicting and judging that the cemented filling body enters a destabilization critical state due to the continuous synergistic effect of creep hardening and damage; when mu is1>μ2When the creep hardening effect of the cemented filling body is predicted and judged to be dominant, when mu1=μ2Predicting and judging the creep hardening effect and the damage effect of the cemented filling body at the moment, and when the creep hardening effect and the damage effect are mutually counteracted1<μ2And predicting and judging the creep damage effect of the cemented filling body at the moment.
3. The method for predicting creep instability of a cemented filling body considering the synergistic effect of hardening and damage according to claim 1, wherein:
wherein, in step 1, the creep test should acquire at least one set of data at a general stress level causing the sample to fail incompletely and at least one set of data at a limit stress level causing the sample to fail completely, and each stress level takes at least 20 test data points;
under a common stress level, taking test data every 10-15 minutes in 0-2 hours on average, and taking test data every 30-40 minutes in 2-8 hours on average;
at the ultimate stress level, test data is taken on average every 10-15 minutes until the specimen is completely destroyed.
4. A device for predicting creep instability of a cemented filling body by considering the synergistic effect of hardening damage is characterized by comprising:
the test data acquisition part is used for acquiring a plurality of groups of creep test data of the cemented filling body sample to be predicted under different stress levels, and each group of creep test data corresponds to series strain epsilon data of the sample changing along with time t under one stress sigma level;
the fitting part is used for substituting each group of creep test data acquired by the test data acquisition part into the following constitutive equation considering the hardening damage synergistic effect to perform fitting to obtain other parameters;
where eta is viscosity coefficient, C, beta, r are material constants relevant to hardening performance, E0Alpha is the damage factor in the damage function for the initial elastic modulus;
a prediction part for predicting and judging the creep characteristics of the cemented filling body and whether the critical state of creep instability is reached;
critical prediction equation of creep hardening of cemented filling body:
equation considering creep damage effect of cemented filling mass:
in the formula, Δ ε1Delta. epsilon. for creep hardening strain growth2Δ ε is an amount of creep damage strain increase1And Δ ε2The difference is equal to the total strain increase amount delta epsilon in unit time;
determining critical prediction index mu of creep hardening instability of cemented filling body based on the prediction equation1And critical prediction index mu of injury instability2:
According to μ1And mu2Predicting and judging the value of (A);
and the control part is in communication connection with the test data acquisition part, the fitting part and the prediction part and controls the operation of the test data acquisition part, the fitting part and the prediction part.
5. The apparatus of claim 4, further comprising:
and the input display part is in communication connection with the test data acquisition part, the fitting part, the prediction part and the control part and is used for allowing a user to input an operation instruction and performing corresponding display.
6. The apparatus of claim 4, wherein the apparatus for predicting creep instability of cemented filling mass considering synergistic effect of hardening and damage comprises:
the input display unit may display the test data acquired by the test data acquisition unit in a list or graph, may display a fitting state of the fitting unit, and may display a prediction result of the prediction unit.
7. The apparatus of claim 4, wherein the apparatus for predicting creep instability of cemented filling mass considering synergistic effect of hardening and damage comprises:
wherein, in the prediction part, according to μ1And mu2And obtaining a critical prediction index of creep instability of the cemented filling body considering the synergistic effect of hardening damage: mu-mu1+μ2When mu is larger than or equal to 3.570, predicting and judging that the cemented filling body enters a destabilization critical state due to the continuous synergistic effect of creep hardening and damage; when mu is1>μ2When the creep hardening effect of the cemented filling body is predicted and judged to be dominant, when mu1=μ2Predicting and judging the creep hardening effect and the damage effect of the cemented filling body at the moment, and when the creep hardening effect and the damage effect are mutually counteracted1<μ2And predicting and judging the creep damage effect of the cemented filling body at the moment.
8. The apparatus of claim 4, wherein the apparatus for predicting creep instability of cemented filling mass considering synergistic effect of hardening and damage comprises:
wherein in the test data acquisition section, the creep test should acquire at least one set of data at a general stress level at which the specimen is not completely broken and at least one set of data at an ultimate stress level at which the specimen is completely broken, and at least 20 test data points are taken for each stress level;
under a common stress level, taking test data every 10-15 minutes in 0-2 hours on average, and taking test data every 30-40 minutes in 2-8 hours on average;
at the ultimate stress level, test data is taken on average every 10-15 minutes until the specimen is completely destroyed.
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