CN112347620B - Method for predicting rock-soil disaster body damage time in real time by using three characteristic points - Google Patents
Method for predicting rock-soil disaster body damage time in real time by using three characteristic points Download PDFInfo
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Abstract
The invention provides a method for predicting the damage time of a rock and soil disaster body in real time by three characteristic points, which comprises the following steps: s1: obtaining a rate time curve of the monitored quantity; s2: defining three characteristic points A, B and C on a rate time curve, and setting the rate relation of the three points; s3: selecting two points on the speed time curve as characteristic points A and C, and determining the position of the characteristic point B according to the speed relation; s4: determining the relationship between the destruction time and the three points according to the three-point rate relationship and the power law singularity precursor expression: s5: determining a destruction time t f (ii) a S6: repeating the steps S3 to S5 for the destruction time t f Updating and correcting to obtain final destruction time t f * . The prediction process of the invention is irrelevant to the power exponent, and the damage time can be predicted under the condition of unknown critical power exponent.
Description
Technical Field
The invention relates to the technical field of geological disaster prediction, in particular to a method for predicting damage time of a rock and soil disaster body in real time by using three characteristic points.
Background
The accurate prediction of the damage time of the disaster body is the basis and the precondition of the evaluation, prevention and prediction early warning of the geological disaster. The key to the difficulty in predicting the time of failure lies in the uncertainty of catastrophic failure. An important approach to dealing with such problems is to find precursors to catastrophic failure. The field monitoring of disasters of different scales such as earthquake, volcanic eruption, landslide, collapse and the like and laboratory experiment observation data show that the response quantities such as deformation, acoustic emission and the like can show a critical power law singularity acceleration trend when approaching the catastrophe damage moment, and are effective damage precursors, and the effectiveness of predicting the damage time of the precursors is verified by a large number of laboratory and field measurement results. However, these predictions are mainly a posteriori, that is, predictions made with knowledge of the power-law singularity index.
The power law singularity precursor expression is: v = k (t) f -t) -β ；
Where v is the rate of the monitored quantity (e.g., deformation, acoustic emission),t f representing the destruction time, k is a parameter, and β is the power law singularity index. From the above formula one can obtain:
v -1/β ＝k -1/β (t f -t)
however, at the destruction time t f When unknown, namely before destruction, the value of the power exponent beta is unknown, and the specific value of the power law singularity exponent can be determined only after the destruction occurs. Therefore, the unknown power exponent is a key difficulty in predicting the destruction time based on the power law singularity precursor.
Disclosure of Invention
According to the technical problem, the method for predicting the damage time in real time based on the geometric drawing of the rate-time evolution curve under the condition of unknown power-law singularity index and updating and correcting the prediction result based on the newly added data is provided.
The technical means adopted by the invention are as follows:
a method for predicting the damage time of a rock and soil disaster body in real time by three characteristic points comprises the following steps:
s1: obtaining a rate-time curve of the evolution of the monitoring quantity development rate along with time based on field monitoring and experimental observation data; calculating the evolution rates of the monitoring quantities such as disaster body deformation and acoustic emission signals according to field monitoring and experimental observation data, making a rate-time curve of the evolution rate of each monitoring quantity along with time, and determining an accelerated development period based on the rate-time evolution curve;
s2: defining three characteristic points A, B and C on a speed time curve, and setting a speed relation among the characteristic points A, B and C as follows:
v B 、v A 、v C respectively the speed of the characteristic points A, B and C in the speed curve;
s3: optionally selecting two points on the speed time curve as characteristic points A and C, and determining the position of the characteristic point B according to the speed relation among the characteristic points A, B and C;
s4: determining the relationship between the destruction time and the time of three characteristic points A, B and C according to the rate relationship among the characteristic points A, B and C and the power law singularity precursor expression:
t f to the destruction time, t A 、t B 、t C Respectively corresponding time of characteristic points A, B and C in the speed curve;
s5: determining the destruction time t according to the relationship between the destruction time and the time of the three characteristic points A, B and C f ；
S6: repeating the steps S3 to S5 for the destruction time t f Updating and correcting to obtain final destruction time t f *。
Further, in the step S4, the power-law singularity precursor expression is:
v＝k(t f -t) -β (3)
wherein v is the rate of the monitoring quantity, k is a parameter, and beta is a power law singularity index;
taking logarithm of two sides of the formula (3) to obtain:
logv＝logk-βlog(t f -t) (4)
namely, the relationship between the speed and time of the characteristic points A, B and C and the destruction time is as follows:
logv A ＝logk-βlog(t f -t A ) (5)
logv B ＝logk-βlog(t f -t B ) (6)
logv C ＝logk-βlog(t f -t C ) (7)
subtracting the formula (4) from the formula (3), and subtracting the formula (5) from the formula (4) to obtain:
obtained according to formula (1), formula (8) and formula (9)
The destruction time can be obtained from equation (10):
subtracting t from both sides of the above formula A After that, it is possible to obtain:
in the step S3, according to the speed relation among the characteristic points A, B and C, the position of the characteristic point B is determined by using a geometric drawing method I;
the geometric drawing method I is as follows: on the speed time curve, two characteristic points A and C are arbitrarily selected, the passing point A is taken as the perpendicular line of the t axis, and the foot is taken as the point t A Perpendicular to the v-axis, with the foot "v A (ii) a The passing point C is taken as a vertical line of the t axis, and the falling foot is taken as a point t C Perpendicular to the v-axis, the foot of the foot is v C ；
At the point t C As the center of circle, line segment Ct c Is a circular arc with a radius, and intersects the t axis at a point R;
the parallel line passing through point A as t axis and line segment Ct c Intersect at point M;
at the point t C Centered on line segment Mt C Making an arc with a radius, intersecting the t-axis at a point S, the length of the segment RS being:
RS＝v C +v A (13)
using the line segment RS as the diameter to make the arc and the line segment Ct c Intersecting at the N point;
obtaining:
Nt c 2 ＝St c ×Rt c (14)
combining formula (1) to obtain a line segment Nt C ＝v B ；
And (4) taking a parallel line of the t axis passing through the N point, wherein the intersection point of the parallel line and the speed curve is the point B.
In the step S5, determining the destruction time by using a geometric drawing method II according to the relationship between the destruction time and the time of the three characteristic points A, B and C;
the geometric drawing method II is as follows:
the vertical line of the t axis is made through the point B, and the vertical foot is t B ；
Respectively making line segments t A t B And t A t C Midpoint P, Q;
at a point t B As a center of circle, with t B P is a circular arc with a radius, which is equal to line segment Bt B Cross at point H with t B Q is a radius forming an arc with line segment Bt B Crossing at the E point;
parallel to the t-axis through the H-point, and A the extension line of E is crossed with the point F;
the point F is crossed to form a vertical line of the axis t, and the foot is the destruction time t according to the formula (2) f 。
Compared with the prior art, the invention has the following advantages:
the prediction process of the method is irrelevant to the power exponent, and the damage time can be predicted under the condition of unknown critical power exponent;
the method is realized by geometric drawing, has clear concept and simple operation, and can be programmed and operated;
the method can directly predict the damage time in real time according to the rate time evolution curve, and update and correct the prediction result in real time along with the increase of data.
Based on the reason, the method can be widely popularized in the fields of geological disaster prediction and the like.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a flowchart of a method for predicting the damage time of a geotechnical disaster body in real time by using three characteristic points in an embodiment of the invention.
FIG. 2 is a schematic diagram of a geometric drawing method I according to an embodiment of the present invention.
FIG. 3 is a schematic diagram of a geometric drawing method II according to an embodiment of the present invention.
Detailed Description
It should be noted that the embodiments and features of the embodiments of the present invention may be combined with each other without conflict. The present invention will be described in detail below with reference to the accompanying drawings in conjunction with embodiments.
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. The following description of at least one exemplary embodiment is merely illustrative in nature and is in no way intended to limit the invention, its application, or uses. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the invention. As used herein, the singular forms "a", "an", and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
The relative arrangement of the components and steps, the numerical expressions and numerical values set forth in these embodiments do not limit the scope of the present invention unless specifically stated otherwise. Meanwhile, it should be understood that the sizes of the respective portions shown in the drawings are not drawn in an actual proportional relationship for the convenience of description. Techniques, methods, and apparatus known to those of ordinary skill in the relevant art may not be discussed in detail but are intended to be part of the specification where appropriate. Any specific values in all examples shown and discussed herein are to be construed as exemplary only and not as limiting. Thus, other examples of the exemplary embodiments may have different values. It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, further discussion thereof is not required in subsequent figures.
In the description of the present invention, it is to be understood that the directions or positional relationships indicated by the directional terms such as "front, rear, upper, lower, left, right", "lateral, vertical, horizontal" and "top, bottom", etc., are generally based on the directions or positional relationships shown in the drawings for the convenience of description and simplicity of description, and that these directional terms, unless otherwise specified, do not indicate and imply that the device or element so referred to must have a particular orientation or be constructed and operated in a particular orientation, and therefore should not be considered as limiting the scope of the invention: the terms "inner and outer" refer to the inner and outer relative to the profile of the respective component itself.
For ease of description, spatially relative terms such as "over 8230 \ 8230;,"' over 8230;, \8230; upper surface "," above ", etc. may be used herein to describe the spatial relationship of one device or feature to another device or feature as shown in the figures. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if a device in the figures is turned over, devices described as "above" or "on" other devices or configurations would then be oriented "below" or "under" the other devices or configurations. Thus, the exemplary terms "at 8230; \8230; 'above" may include both orientations "at 8230; \8230;' above 8230; 'at 8230;' below 8230;" above ". The device may be otherwise variously oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.
It should be noted that the terms "first", "second", and the like are used to define the components, and are only used for convenience of distinguishing the corresponding components, and unless otherwise stated, the terms have no special meaning, and therefore, the scope of the present invention should not be construed as being limited.
As shown in fig. 1 to 3, a method for predicting the damage time of a geotechnical disaster body in real time by using three characteristic points comprises the following steps:
s1: obtaining a rate-time curve of the evolution of the monitoring quantity development rate along with time based on field monitoring and experimental observation data;
s2: defining three characteristic points A, B and C on a speed time curve, and setting a speed relation among the characteristic points A, B and C as follows:
v B 、v A 、v C respectively the speed of the characteristic points A, B and C in the speed curve;
s3: optionally selecting two points on the speed time curve as characteristic points A and C, and determining the position of the characteristic point B according to the speed relation among the characteristic points A, B and C;
s4: determining the relationship between the destruction time and the time of the three characteristic points A, B and C according to the speed relationship among the characteristic points A, B and C and the power law singularity precursor expression:
t f to break time, t A 、t B 、t C Respectively corresponding time of characteristic points A, B and C in the speed curve;
s5: determining the destruction time t according to the relationship between the destruction time and the time of the three characteristic points A, B and C f ；
S6: repeating the steps S3 to S5 for the destruction time t f Updating and correcting to obtain final destruction time t f *。
In step S4, the power law singularity precursor expression is:
v＝k(t f -t) -β (3)
wherein v is the rate of the monitoring quantity, k is a parameter, and beta is a power law singularity index;
taking logarithm of two sides of the formula (3) to obtain:
logv＝logk-βlog(t f -t) (4)
namely, the relationship between the speed and time of the characteristic points A, B and C and the destruction time is as follows:
logv A ＝logk-βlog(t f -t A ) (5)
logv B ＝logk-βlog(t f -t B ) (6)
logv C ＝logk-βlog(t f -t C ) (7)
subtracting the formula (4) from the formula (3), and subtracting the formula (5) from the formula (4) to obtain:
obtained according to formula (1), formula (8) and formula (9)
The destruction time can be obtained from equation (10):
subtracting t from both sides of the above formula A After that, it is possible to obtain:
in the step S3, according to the speed relation among the characteristic points A, B and C, the position of the characteristic point B is determined by using a geometric drawing method I;
the geometric mapping method I is as follows: on the speed time curve, two characteristic points A and C are arbitrarily selected, the passing point A is taken as the perpendicular line of the t axis, and the foot is taken as the point t A Perpendicular to the v-axis, with the foot "v A (ii) a The passing point C is taken as a vertical line of the t axis, and the falling foot is taken as a point t C Perpendicular to the v-axis, with the foot "v C ；
At a point t C As the center of circle, line segment Ct c Is a radius making arc 1, which intersects with the t axis at a point R;
the parallel line passing through point A and serving as the t axis and the line segment Ct c Intersect at point M;
at a point t C Centered on line segment Mt C The radius is taken as arc 2, which intersects t axis at point S, and the length of segment RS is:
RS＝v C +v A (13)
using the line segment RS as the diameter to make the arc 3 and the line segment Ct c Intersect at point N;
because of & lt SN c t+∠SN c t＝∠S c Nt+∠ c RN; so that NS c t＝∠R c N, in combination with
And
obtaining:
Nt c 2 ＝St c ×Rt c (14)
combining formula (1) to obtain a line segment Nt C ＝v B ；
And (4) taking a parallel line of the t axis as the passing point N, and taking the intersection point of the parallel line and the speed curve as the point B.
Determining the destruction time by using a geometric drawing method II according to the relationship between the destruction time and the time of the three characteristic points A, B and C in the step S5;
the geometric drawing method II is as follows:
the perpendicular line of the t axis is made through the point B, and the foot is t B ；
Respectively making line segments t A t B And t A t C Midpoint P, Q;
at a point t B As the center of circle, with t B P is a radius as arc 4, which is connected with line segment Bt B Cross over at H point, with t B Q is a radius as arc 5, which is associated with line segment Bt B Crossing to the E point;
parallel to the t-axis through the H-point, and A the extension line of E is crossed with the point F;
making a vertical line of the t axis through the point F, and obtaining the damage time t f 。
As can be seen from the formula (2),
also, in the figure,. DELTA.Ft A t f And Δ Et A t B Is like a triangle, satisfies
In accordance with equation (2).
And (3) continuously sliding the points A and C with the increase of the sampling data, determining the characteristic point B according to the geometric drawing method, and updating and correcting the predicted value of the failure time according to the geometric drawing.
Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.
Claims (4)
1. A method for predicting the damage time of a rock and soil disaster body in real time by three characteristic points is characterized by comprising the following steps:
s1: obtaining a rate-time curve of the evolution of the monitoring quantity development rate along with time based on field monitoring and experimental observation data;
s2: defining three characteristic points A, B and C on a speed time curve, and setting a speed relation among the characteristic points A, B and C as follows:
v B 、v A 、v C respectively the speed of the characteristic points A, B and C in the speed time curve;
s3: optionally selecting two points on the speed time curve as characteristic points A and C, and determining the position of the characteristic point B according to the speed relation among the characteristic points A, B and C;
s4: determining the relationship between the destruction time and the time of the three characteristic points A, B and C according to the speed relationship among the characteristic points A, B and C and the power law singularity precursor expression:
t f to the destruction time, t A 、t B 、t C Respectively corresponding time of characteristic points A, B and C in the rate time curve;
s5: determining the destruction time t according to the relationship between the destruction time and the time of the three characteristic points A, B and C f ；
S6: repeating the steps S3 to S5 for the destruction time t f Updating and correcting to obtain final destruction time t f *。
2. The method for predicting the damage time of the geotechnical disaster body in real time by using the three characteristic points as claimed in claim 1, wherein:
in step S4, the power law singularity precursor expression is:
v＝k(t f -t) -β (3)
wherein v is the rate of the monitoring quantity, k is a parameter, and beta is a power law singularity index;
taking logarithm of two sides of the formula (3) to obtain:
logv＝logk-βlog(t f -t) (4)
namely, the relationship between the speed and time of the characteristic points A, B and C and the destruction time is as follows:
logv A ＝logk-βlog(t f -t A ) (5)
logv B ＝logk-βlog(t f -t B ) (6)
logv C ＝logk-βlog(t f -t C ) (7)
subtracting the formula (4) from the formula (3), and subtracting the formula (5) from the formula (4) respectively to obtain:
obtained according to formula (1), formula (8) and formula (9)
The destruction time can be obtained from equation (10):
subtracting t from both sides of the above formula A After that, it is possible to obtain:
3. the method for predicting the damage time of the geotechnical disaster body in real time by using the three characteristic points as claimed in claim 1 or 2, wherein:
in the step S3, according to the speed relation among the characteristic points A, B and C, the position of the characteristic point B is determined by using a geometric drawing method I;
the geometric mapping method I is as follows: on the speed time curve, two characteristic points A and C are arbitrarily selected, the passing point A is taken as the perpendicular line of the t axis, and the foot is taken as the point t A Perpendicular to the v-axis, the foot of the foot is v A (ii) a The passing point C is taken as a vertical line of the t axis, and the falling foot is taken as a point t C Perpendicular to the v-axis, with the foot "v C ；
At a point t C As the center of circle, line segment Ct c Is a circular arc with a radius, and intersects the t axis at a point R;
the parallel line passing through point A and serving as the t axis and the line segment Ct c Intersect at point M;
at the point t C Centered on line segment Mt C Making an arc with a radius, intersecting the t-axis at a point S, the length of the segment RS being:
RS＝v C +v A (13)
using the line segment RS as the diameter to make the arc and the line segment Ct c Intersect at point N;
obtaining:
Nt c 2 ＝St c ×Rt c (14)
combining formula (1) to obtain a line segment Nt C ＝v B ；
And (4) taking a parallel line of the t axis as the passing point N, and taking the intersection point of the parallel line and the speed curve as the point B.
4. The method for predicting the damage time of the geotechnical disaster body in real time by using the three characteristic points as claimed in claim 3, wherein: determining the destruction time by using a geometric drawing method II according to the relationship between the destruction time and the time of the three characteristic points A, B and C in the step S5;
the geometric drawing method II is as follows:
the vertical line of the t axis is made through the point B, and the vertical foot is t B ；
Respectively making line segments t A t B And t A t C Midpoint P, Q;
at the point t B As a center of circle, with t B P is a circular arc with a radius, which is equal to line segment Bt B Cross at point H with t B Q is a radius forming an arc with line segment Bt B Crossing at the E point;
parallel to the t-axis through the H-point, and A the extension line of E is crossed with the point F;
the vertical line of the t axis is made through the point F, and the vertical foot is the destruction time t according to the formula (2) f 。
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| US10858935B2 (en) * | 2014-01-27 | 2020-12-08 | Schlumberger Technology Corporation | Flow regime identification with filtrate contamination monitoring |
| KR101773819B1 (en) * | 2015-11-19 | 2017-09-01 | 한국과학기술원 | System and Method for Predicting Collapse of Structural using Throw-type Sensor |
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| JP2000221175A (en) * | 1999-02-03 | 2000-08-11 | Takenaka Komuten Co Ltd | Method for estimating collapse time of fragile material of rock structure or the like using ae as estimation factor |
| CN109543341A (en) * | 2018-12-11 | 2019-03-29 | 重庆大学 | A kind of prediction side slope faces the power function speed counting backward technique of sliding time |
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| Title |
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| The Changeable Power Law Singularity and its Application to Prediction of Catastrophic Rupture in Uniaxial Compressive Tests of Geomedia;Jian Xue et al.;《Journal of Geophysical Research: Solid Earth》;20180312;全文 * |
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