CN114493012B - Cemented filling creep instability prediction method and device considering hardening damage synergistic effect - Google Patents
Cemented filling creep instability prediction method and device considering hardening damage synergistic effect Download PDFInfo
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Abstract
The invention provides a creep instability prediction method and device for a cemented filling body, which take the synergistic effect of hardening damage into consideration, and can accurately predict the creep instability condition of the cemented filling body. The method comprises the following steps: step 1, performing creep test on a cementing 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 of strain data of the sample changing along with time under one stress level; step 2, carrying creep test data into the following constitutive equation considering the hardening damage synergistic effect, and fitting to obtain other parameters; step 3, predicting and judging the creep characteristics of the cementing filling body and whether the creep instability critical state is reached; determining critical prediction index mu of creep hardening instability of the cemented filling body based on critical prediction equation of creep damage of the cemented filling body and critical prediction equation of creep hardening of the cemented filling body 1 And critical prediction index of damage destabilization μ 2 Then according to mu 1 Sum mu 2 And (3) predicting and judging the value of the (c).
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 hardening damage synergistic effect.
Background
The filling mining method is characterized in that the filling mining method is advanced along with a working face, fills a goaf by filling materials so as to perform ground pressure management, control confined pressure caving and earth surface subsidence, creates safe and convenient conditions for stoping work, takes a cementing filling body as an artificial ore pillar, is an important guarantee for mining safety, supports overburden for a long time in a stope, has creep characteristics directly related to engineering long-term stability, and can accurately and effectively explore creep characteristics of the cementing filling body.
The cementing filling body can harden in the constant load stress process, and meanwhile, damage and damage occur to a certain extent, so that a complex synergistic effect is generated, and the effect determines the creep process of the cementing filling body. However, the existing method cannot simultaneously consider the influence of hardening and damage on the material, only predicts the material instability according to a single factor, and cannot fully embody 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 body, which can accurately predict the creep instability of the cemented filling body, in consideration of the synergistic effect of hardening damage.
In order to achieve the above object, the present invention adopts the following scheme:
< method >
The invention provides a method for predicting creep instability of a cementing 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 cementing 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 of strain epsilon data of the sample under one stress sigma level along with the change of time t;
step 2, carrying out fitting on each group of creep test data obtained in the step 1 into the following constitutive equation considering the hardening damage synergistic effect to obtain the rest parameters;
wherein eta is a viscosity coefficient, C, beta, r are material constants related to hardening performance, E 0 Alpha is an injury factor in an injury function, and is the initial elastic modulus;
step 3, predicting and judging the creep characteristics of the cementing filling body and whether the creep instability critical state is reached; equation that considers the effect of cement filler creep hardening:
equation that considers the effect of cemented filling creep damage:
wherein, delta epsilon 1 For creep hardening strain increase, Δε 2 For creep damage strain increase, Δε 1 And delta epsilon 2 The difference in (2) is equal to the total amount of strain increase delta epsilon per unit time.
Based on the above equation, the index mu representing the creep hardening effect of the cementing filler can be obtained 1 And injury Effect index mu 2 ：
According to mu 1 Sum mu 2 And (3) predicting and judging the value of the (c).
Preferably according to mu 1 、μ 2 Predicting and judging creep characteristics and a destabilization critical state of the cementing filling body: according to mu 1 And mu 2 Obtaining the critical prediction index of creep instability of the cementing filling body considering the synergistic effect of hardening injuryμ＝μ 1 +μ 2 When 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; when mu 1 ＞μ 2 When the creep hardening effect of the cementing filling body is dominant, the creep hardening effect is predicted and judged when mu 1 ＝μ 2 When the creep hardening effect and the damage effect of the cementing filling body are mutually counteracted, the cement filling body is predicted and judged, and when mu 1 <μ 2 In this case, the creep damage effect of the cemented filling body is predicted and judged to be dominant.
Preferably, the method for predicting creep instability of the cementing filling body considering the synergistic effect of hardening injury provided by the invention can also have the following characteristics: in step 1, creep test should acquire at least one set of data at a general stress level that causes incomplete destruction of the test specimen and at least one set of data at a limit stress level that causes complete destruction of the test specimen, and at least 20 test data points are taken for each stress level; under the general stress level, taking an average of test data every 10-15 minutes within 0-2 hours, and taking an average of test data every 30-40 minutes within 2-8 hours; at extreme stress levels, an average of one test data is taken every 10-15 minutes until the test specimen is completely destroyed.
< device >
Further, the invention also provides a cemented filling body creep instability prediction device considering the synergistic effect of hardening injury, which is characterized by comprising:
a test data acquisition part for acquiring a plurality of groups of creep test data of the cementing filling body sample to be predicted under different stress levels, wherein each group of creep test data corresponds to series of strain epsilon data of the sample under one stress sigma level along with the change of time t;
the fitting part is used for carrying out fitting on each group of creep test data acquired by the test data acquisition part into the constitutive equation considering the hardening damage synergistic effect to acquire other parameters;
wherein eta is a viscosity coefficient, C, beta, r are material constants related to hardening performance, E 0 Alpha is an injury factor in an injury function, and is the initial elastic modulus;
and the predicting part predicts and judges the creep characteristics of the cementing filling body and whether the creep instability critical state is reached.
Equation that considers the effect of cement filler creep hardening:
equation that considers the effect of cemented filling creep damage:
wherein, delta epsilon 1 For creep hardening strain increase, Δε 2 For creep damage strain increase, Δε 1 And delta epsilon 2 The difference of (a) is equal to the total amount of strain increase delta epsilon per unit time;
based on the above equation, the index mu representing the creep hardening effect of the cementing filler can be obtained 1 And injury Effect index mu 2 ；
According to mu 1 Sum mu 2 And (3) predicting and judging the value of the (c).
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.
Preferably, the cement filling body creep instability prediction device considering the synergistic effect of hardening injury provided by the invention can further comprise: and the input display part is communicated 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 correspondingly display the operation instruction.
Preferably, the cement filling body creep instability prediction device considering the synergistic effect of hardening injury provided by the invention can also have the following characteristics: the input display unit can display the test data acquired by the test data acquisition unit in a list or a graph, can display the fitting condition of the fitting unit, and can display the prediction result of the prediction unit.
Preferably according to mu 1 、μ 2 Predicting and judging creep characteristics and a destabilization critical state of the cementing filling body: according to mu 1 And mu 2 Obtaining the critical prediction index mu=mu of creep instability of the cementing filling body considering the synergistic effect of hardening injury 1 +μ 2 When 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; when mu 1 ＞μ 2 When the creep hardening effect of the cementing filling body is dominant, the creep hardening effect is predicted and judged when mu 1 ＝μ 2 When the creep hardening effect and the damage effect of the cementing filling body are mutually counteracted, the cement filling body is predicted and judged, and when mu 1 <μ 2 In this case, the creep damage effect of the cemented filling body is predicted and judged to be dominant.
Preferably, the cement filling body creep instability prediction device considering the synergistic effect of hardening injury 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 test specimen is incompletely destroyed and at least one set of data at a limit stress level at which the test specimen is completely destroyed, and at least 20 test data points are taken for each stress level; under the general stress level, taking an average of test data every 10-15 minutes within 0-2 hours, and taking an average of test data every 30-40 minutes within 2-8 hours; at extreme stress levels, an average of one test data is taken every 10-15 minutes until the test specimen is completely destroyed.
Effects and effects of the invention
According to the method, the synergistic effect of hardening and damage is considered in the cement filling body instability prediction process, so that the creep characteristics of the cement filling body can be effectively reflected, the creep process of the cement filling body is accurately reflected, an accurate instability prediction result is obtained, and reliable technical support is provided for the long-term stability of the cement filling body and the mine safety production.
Drawings
Fig. 1 is a mass ratio of 1 of sand to lime according to an embodiment of the present invention: 10 fitting curve graph of creep constitutive equation of cemented filling body;
fig. 2 is a mass ratio of sand to mortar 1 according to an embodiment of the present invention: 4 fitting graph of the cement filling creep constitutive equation.
Detailed Description
The following describes in detail the concrete embodiments of the method and apparatus for predicting creep instability of a cemented filling body according to the present invention, which take into consideration the synergistic effect of hardening damage, with reference to the accompanying drawings.
< example >
The cement filling creep instability prediction method considering the synergistic effect of hardening injury provided by the implementation comprises the following steps:
and step 1, performing creep test on a cementing 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 of strain epsilon data of the sample under one stress sigma level along with the change of time t.
The creep test should acquire at least one set of data at a general stress level that results in incomplete failure of the test specimen and at least one set of data at a limit stress level that results in complete failure of the test specimen, and at least 20 test data points are taken for each stress level.
Under the general stress level, the test data are taken every 10-15 minutes in 0-2 h, and between 2h and 8h, the test data are taken every 30-40 minutes.
At extreme stress levels, an average of one test data is taken every 10-15 minutes until the test specimen is completely destroyed.
Step 2, carrying out fitting on each group of creep test data obtained in the step 1 into the following constitutive equation considering the hardening damage synergistic effect to obtain the rest parameters;
wherein eta is a viscosity coefficient, C, beta, r are material constants related to hardening performance, E 0 For the initial elastic modulus, α is the damage factor in the damage function.
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, and comparative information (see fig. 1, fig. 2, table 1 and table 2) of the theoretical and test data of the cemented filling body sample is obtained to obtain that theoretical curves of the cemented filling body sample under the uniaxial creep test are identical with test data results, and fitting degrees of the theoretical curves and the test data are all above 0.98.
TABLE 1 mortar mass ratio 1:10 cement filler creep constitutive model parameter information
TABLE 2 parameter information of cement filler creep constitutive model with cement-sand mass ratio of 1:4
And 3, predicting and judging the creep characteristics of the cementing filling body and whether the creep instability critical state is reached.
Equation that considers the effect of cement filler creep hardening:
equation that considers the effect of cemented filling creep damage:
wherein, delta epsilon 1 For creep hardening strain increase, Δε 2 For creep damage strain increase, Δε 1 And delta epsilon 2 The difference in (2) is equal to the total amount of strain increase delta epsilon per unit time.
Based on the above equation, the index mu representing the creep hardening effect of the cementing filler can be obtained 1 And injury Effect index mu 2 ：
According to the index mu 1 And mu 2 The critical prediction index of creep instability of the cementing filling body considering the synergistic effect of hardening injury can be obtained: μ=μ 1 +μ 2 。
According to mu 1 、μ 2 And mu value prediction and judgment of creep characteristics and destabilization critical state of the cementing filling body: when mu 1 ＞μ 2 When the creep hardening effect of the cementing filling body is dominant, the creep hardening effect is predicted and judged when mu 1 ＝μ 2 When the creep hardening effect and the damage effect of the cementing filling body are mutually counteracted, the cement filling body is predicted and judged, and when mu 1 <μ 2 When mu is larger than or equal to 3.570, the creep damage effect of the cementing filling body is predicted and judged to be dominant, and when mu is larger than or equal to 3.570, the continuous synergistic effect of creep hardening and damage of the cementing filling body is predictedAnd judging that the cementing filling body enters a destabilization critical state.
The mass ratio of the ash to the sand is 1:10 by way of example, the test data for a cemented filling body specimen at a stress level of 2.04MPa at which the cemented filling body specimen is subjected to a creep hardening strain increase Δε after 5h to 6h 1 Mu at this point 0.0244 1 A value of 1.1373, a creep damage strain increase Δε 2 Mu at this point 0.0139 2 Mu can be obtained with a value of 1.0258 2 A value less than mu 1 The value can judge that the creep hardening effect of the cementing filling body is dominant at the moment, and the mu value at the moment is 2.1631 and does not exceed the critical value 3.570, namely the cementing filling body does not enter the creep critical instability state and is not destroyed after the creep critical instability state;
the mass ratio of the ash to the sand is 1:10 by way of example, the test data for a cemented filling body specimen at a stress level of 5.10MPa at which the cemented filling body specimen is subjected to a creep hardening strain increase Δε after 0.5h to 1h 1 0.2737, mu at this time 1 A value of 1.4415, a creep damage strain increase Δε 2 0.6079, mu at this time 2 Mu can be obtained with a value of 2.3958 2 A value greater than mu 1 The value can judge that the creep damage effect of the cementing filling body is dominant at the moment, and the mu value at the moment is 3.8373 and exceeds the critical value 3.570, namely the cementing filling body enters a creep critical instability state. The test result is consistent with the prediction result, after the creep instability critical state is reached, the creep damage of the cementing filling body is rapidly accumulated, at the moment, the creep damage accumulation cannot be predicted, uncertainty exists, after one hour, the final instability damage of the cementing filling body is verified, and the method can provide effective early warning for the creep instability damage of the cementing filling body.
Further, the embodiment also provides a cemented filling creep instability prediction device capable of automatically realizing the method, which comprises a test data acquisition part, a fitting part, a prediction part, an input display part and a control part.
The test data acquisition part is used for acquiring a plurality of groups of creep test data of the cementing filling body sample to be predicted under different stress levels, and each group of creep test data corresponds to series of strain epsilon data of the sample under one stress sigma level along with the change of time t.
The fitting part brings each group of creep test data acquired by the test data acquisition part into the constitutive equation considering the hardening damage synergistic effect, and fits the constitutive equation to acquire other parameters;
wherein eta is a viscosity coefficient, C, beta, r are material constants related to hardening performance, E 0 Alpha is an injury factor in an injury function, and is the initial elastic modulus;
the predicting part adopts the method described in the step 3 to predict and judge whether the cementing filling body reaches the critical state of creep hardening and damage instability.
The input display part is communicated 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 correspondingly display the operation instruction. For example, the input display unit may display the test data acquired by the test data acquisition unit in a list or a graph, may display the fitting condition of the fitting unit, and may display the prediction result of the prediction unit.
The control part is communicated with the test data acquisition part, the fitting part, the prediction part and the input display part, 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 a cemented filling body according to the present invention, which takes into consideration the synergistic effect of hardening damage, are not limited to the above embodiments, but are defined in the scope of the appended claims. Any modifications, additions or equivalent substitutions made by those skilled in the art based on this embodiment are within the scope of the invention as claimed in the claims.
Claims (8)
1. The method for predicting creep instability of the cemented filling body by considering the synergistic effect of hardening injury is characterized by comprising the following steps of:
step 1, performing creep test on a cementing 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 one stressSample at the level +.>Serial strain of change->Data;
step 2, carrying out fitting on each group of creep test data obtained in the step 1 into the following constitutive equation considering the hardening damage synergistic effect to obtain the rest parameters;
，
in the method, in the process of the invention,for viscosity coefficient->、/>、/>For a material constant related to hardening behaviour, +.>For initial modulus of elasticity, +.>As a damage letterThe injury factor in the number;
step 3, predicting and judging the creep characteristics of the cementing filling body and whether the creep instability critical state is reached;
equation that considers the effect of cement filler creep hardening:
equation that considers the effect of cemented filling creep damage:
，
in the method, in the process of the invention,for creep hardening strain increase +.>For creep damage strain increase amount +.>And->The difference of (2) is equal to the total amount of strain increase per unit time +.>；
Obtaining index for representing creep hardening effect of cemented filling body based on the above equationμ 1 And injury effect indexμ 2 ：
，
，
According toμ 1 Andμ 2 and (3) predicting and judging the value of the (c).
2. The method for predicting creep instability of a cemented filling body taking into account synergistic effects of hardening injury according to claim 1, wherein:
wherein in step 3, according toAnd->Obtaining a critical prediction index of creep instability of the cementing filling body considering the synergistic effect of hardening injury: />When->At the moment, the cementing filling body is predicted and judged to enter a destabilization critical state due to the continuous synergistic effect of creep hardening and damage; when->In the case of cement-filled bodies, the creep hardening effect is predicted and judged to be dominant when +.>When the creep hardening effect and the damage effect of the cemented filling body are mutually counteracted, the cement filling body is predicted and judged>In this case, the creep damage effect of the cemented filling body is predicted and judged to be dominant.
3. The method for predicting creep instability of a cemented filling body taking into account synergistic effects of hardening injury 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 that causes incomplete destruction of the test specimen and at least one set of data at a limit stress level that causes complete destruction of the test specimen, and at least 20 test data points are taken for each stress level;
under the general stress level, taking one test data every 10-15 minutes in 0-2 hours, and taking one test data every 30-40 minutes in 2-8 hours;
at the extreme stress level, an average of 10 to 15 minutes is taken of test data until the test specimen is completely destroyed.
4. The cemented filling body creep instability prediction device considering the synergistic effect of hardening damage is characterized by comprising:
a test data acquisition part for acquiring multiple groups of creep test data of the cementing filling body sample to be predicted under different stress levels, wherein each group of creep test data corresponds to one stressSample at the level +.>Serial strain of change->Data;
a fitting part for carrying out fitting to obtain the rest parameters by taking each group of creep test data acquired by the test data acquisition part into the following constitutive equation considering the hardening injury synergistic effect;
，
in the method, in the process of the invention,for viscosity coefficient->、/>、/>For a material constant related to hardening behaviour, +.>For initial modulus of elasticity, +.>Is a damage factor in the damage function;
a prediction unit for predicting and judging the creep characteristics of the cemented filling body and whether the creep instability critical state is reached;
cement filler creep hardening critical prediction equation:
equation that considers the effect of cemented filling creep damage:
，
in the method, in the process of the invention,for creep hardening strain increase +.>For creep damage strain increase amount +.>And->The difference of (2) is equal to the total amount of strain increase per unit time +.>；
Determining critical prediction index of creep hardening instability of cementing filling body based on the above prediction equationμ 1 And critical predictive index of damage destabilizationμ 2 ：
，
，
According toμ 1 Andμ 2 predicting and judging the value of (2);
and a control part which 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.
5. The cement filler creep instability prediction apparatus taking into account the synergistic effect of hardening injury according to claim 4, further comprising:
and the input display part is communicated 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 correspondingly display the operation instruction.
6. The cement filler creep instability prediction apparatus considering the synergistic effect of hardening injury according to claim 5, wherein:
the input display unit may display the test data acquired by the test data acquisition unit in a list or a graph, may display the fitting condition of the fitting unit, and may display the prediction result of the prediction unit.
7. The cement filler creep instability prediction apparatus considering the synergistic effect of hardening injury according to claim 4, wherein:
wherein, in the prediction part, according toAnd->Obtaining a critical prediction index of creep instability of the cementing filling body considering the synergistic effect of hardening injury: />When->At the moment, the cementing filling body is predicted and judged to enter a destabilization critical state due to the continuous synergistic effect of creep hardening and damage; when->In the case of cement-filled bodies, the creep hardening effect is predicted and judged to be dominant when +.>When the creep hardening effect and the damage effect of the cemented filling body are mutually counteracted, the cement filling body is predicted and judged>In this case, the creep damage effect of the cemented filling body is predicted and judged to be dominant.
8. The cement filler creep instability prediction apparatus considering the synergistic effect of hardening injury according to claim 4, wherein:
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 test specimen is incompletely destroyed and at least one set of data at a limit stress level at which the test specimen is completely destroyed, and at least 20 test data points are taken for each stress level;
under the general stress level, taking one test data every 10-15 minutes in 0-2 hours, and taking one test data every 30-40 minutes in 2-8 hours;
at the extreme stress level, an average of 10 to 15 minutes is taken of test data until the test specimen is completely destroyed.
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| 充填膏体蠕变损伤模型研究;郭皓;刘音;崔博强;李浩;郭亚兰;;矿业研究与开发(第03期);全文 * |
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