CN116842623A - Method and system for calculating, analyzing and reinforcing stability of filling retaining wall - Google Patents

Method and system for calculating, analyzing and reinforcing stability of filling retaining wall Download PDF

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CN116842623A
CN116842623A CN202311105594.8A CN202311105594A CN116842623A CN 116842623 A CN116842623 A CN 116842623A CN 202311105594 A CN202311105594 A CN 202311105594A CN 116842623 A CN116842623 A CN 116842623A
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retaining wall
filling
stability
mode
discrete point
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CN116842623B (en
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程爱平
殷瑛
杜澳宇
王平
张增贵
张国权
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Wuhan University of Science and Engineering WUSE
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    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21F—SAFETY DEVICES, TRANSPORT, FILLING-UP, RESCUE, VENTILATION, OR DRAINING IN OR OF MINES OR TUNNELS
    • E21F15/00—Methods or devices for placing filling-up materials in underground workings
    • E21F15/02—Supporting means, e.g. shuttering, for filling-up materials
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
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    • G06F2119/02—Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]
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    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces

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Abstract

The invention provides the method and the system for calculating, analyzing and reinforcing the stability of the filled retaining wall, which can quickly and accurately identify the stability condition of the filled retaining wall, accurately position the unstable region of the filled retaining wall, be beneficial to scientific and reliable design of the retaining wall and economically and effectively reinforce the existing retaining wall, and practically ensure the exploitation safety. The calculation and analysis method comprises the following steps: step 1, modeling and dispersing are carried out by taking the neutral plane of the filling retaining wall as a reference according to the position and the size parameter of the filling retaining wall in a stope; step 2, determining a boundary fixing mode of a filling retaining wall in a stope; step 3, acquiring stope filling related parameters; step 4, calculating the stress on two sides of each discrete point on each section of the filling retaining wall along the thickness direction of the filling retaining wall, so as to obtain the stress distribution condition on the section; and 5, performing stability analysis and judgment. The reinforcement method is to accurately reinforce corresponding reinforcement measures of the unstable area simulation design according to stability distribution conditions obtained by a calculation and analysis method.

Description

Method and system for calculating, analyzing and reinforcing stability of filling retaining wall
Technical Field
The invention belongs to the field of computer systems based on specific calculation models, and particularly relates to a method and a system for calculating, analyzing and reinforcing stability of a filling retaining wall.
Background
Along with popularization and application of the filling mining method in mines, related filling mining theoretical techniques are widely researched. The design of the filling retaining wall is one of important components of the whole process, and plays a vital role in the safety of a filling stope.
At present, the stability analysis of the filled retaining wall is difficult due to the differences of filling height, filling material parameters, filling environment and the like. Whether the stability of the underground filling retaining wall in the design stage is always a key problem which is difficult to determine by a plurality of students is difficult to judge, and the stability of the retaining wall is difficult to judge under the influence of complex boundary conditions, so that the reconstruction cost is high.
In the prior art, during stability analysis, influences of filling environments and different reinforcement modes on filling retaining walls are often ignored, so that an analysis result is inaccurate. In addition, in the operation process of filling the retaining wall, the unstable area usually occupies only a part of the area of the retaining wall, local instability occurs, but not whole instability occurs, the unstable area cannot be found by the prior art method, the reinforcement cannot be carried out in a targeted manner, and therefore the safety of the filling retaining wall cannot be reasonably and effectively ensured.
Disclosure of Invention
The invention aims to solve the problems, and aims to provide a method and a system for calculating, analyzing and reinforcing the stability of a filled retaining wall, which can quickly and accurately identify the stability of the filled retaining wall, accurately position an unstable area of the filled retaining wall, be beneficial to scientific and reliable design of the retaining wall and economically and effectively reinforce the existing retaining wall, and practically ensure the exploitation safety.
In order to achieve the above object, the present invention adopts the following scheme:
the invention provides a method for calculating and analyzing stability of a filling retaining wall, which comprises the following steps:
step 1, modeling according to the position and size parameters of a filling retaining wall in a stope, constructing a three-dimensional structure model of the filling retaining wall by taking a neutral plane of the filling retaining wall as a reference, and dispersing to obtain a discrete point array sequentially arranged in the thickness direction, wherein each discrete point array corresponds to a section in the thickness direction, all discrete points in the discrete point array correspond to the same thickness, different lengths and different height positions to form a discrete model, and the position coordinates of the single discrete point are as followsx,y,z)，x、y、zThe length, the height and the thickness of the discrete model are respectively,zthe position where the neutral plane is located at=0;
step 2, determining a boundary fixing mode of a filling retaining wall in a stope: the first mode is that the filling retaining wall is not reinforced, the second mode is that the filling retaining wall is reinforced by vertical steel bars, the third mode is that the filling retaining wall is reinforced by horizontal steel bars and vertical steel bars, and the fourth mode is that the filling retaining wall is reinforced by horizontal steel bars;
step 3, acquiring stope filling related parameters: filling slurry volume weightFilling stope height->Elastic modulus of filled retaining wall material>；
Step 4, selecting a corresponding filling retaining wall stability model according to the boundary fixing mode of the filling retaining wall determined in the step 2, inputting the parameters obtained in the step 3, and calculating the stress at two sides of each discrete point on each section of the filling retaining wall in the discrete model constructed in the step 1 along the thickness direction of the filling retaining wall, so as to obtain the stress distribution condition on the section;
the filling retaining wall stability model of the first mode is as follows:
；
in the method, in the process of the invention,and->Stress on the outside and inside of the current section of the filled retaining wall, respectively,/->Poisson ratio for filling retaining wall material +.>For filling the length of the retaining wall->To fill the height of the retaining wall->；K=b/a；/>，h 0 The design thickness or the original thickness of the filling retaining wall is as follows;
the filling retaining wall stability model of the second mode is as follows:
；
the filling retaining wall stability model in the third mode is as follows:
；
the filling retaining wall stability model in the fourth mode is as follows:
；
step 5, stability analysis and judgment:
step 5-1, stress calculated according to step 4σ 1 Andσ 2 calculating the stability values of the two sides of each discrete point by adopting the following formulaF 1 AndF 2 ：
；
in the method, in the process of the invention,maximum tensile strength for filling the retaining wall material;
step 5-2 according toAnd->Determining the bilateral stability of the discrete point when +.>Less than 0, indicating that the outside of the discrete point is unstable; when->Less than 0, indicating instability inside the discrete point;
and 5-3, analyzing and judging each discrete point on the section according to the steps 5-1-5-2, further obtaining stability distribution conditions of two sides of each section in the thickness direction of the filling retaining wall, and determining the position and the range of an unstable area.
In the method for calculating and analyzing the stability of the filling retaining wall, in the step 1, the neutral plane is a section of a half of the thickness of the filling retaining wall, and for the filling retaining wall with symmetrical structures on two sides of the neutral plane, only modeling and dispersing are needed for the retaining wall structure positioned on any side of the neutral plane, and the dispersing model is only a half of the filling retaining wall; discrete modelIn the process, the liquid crystal display device comprises a liquid crystal display device,xthe range of the value is 0 to 0，yThe value range is 0 to->，zThe value range is 0-1/2%>Design thickness->Refers to the fact that the filling retaining wall does not exist actually, but is only in the preset thickness of the design stage, the original thickness +.>Refers to the actual thickness of the filled retaining wall already present in the stope.
Preferably, in the method for calculating and analyzing stability of a filled retaining wall according to the present invention, step 4 further calculates and determines stability of a discrete point every time stress of the discrete point is calculated in step 5.
Preferably, in step 5-2, the method for calculating and analyzing stability of a filled retaining wall according to the present invention further comprises the step ofAnd->A corresponding stability profile is generated, by means of which the stability of each discrete point on each section and the variation in the thickness direction are displayed.
Preferably, in the method for calculating and analyzing stability of a filled retaining wall according to the present invention, in step 5-3, stability distribution conditions include: whether each discrete point is stable or not, based on the specific difference of stability shown by positive and negative values deviating from 0 on two sides of the discrete point, the position of the discrete point and the area range of the unstable discrete point.
Further, the invention also provides a reinforcement method based on the calculation and analysis of the stability of the filled retaining wall, which comprises the following steps:
step I, obtaining the stability distribution condition of the filling retaining wall by adopting any one of the methods described in the calculation and analysis methods of the stability of the filling retaining wall;
and II, accurately reinforcing corresponding reinforcing measures for the unstable area simulation design according to the stability distribution condition.
Preferably, in the reinforcement method based on calculation and analysis of stability of a filled retaining wall provided by the present invention, in step II, when the filled retaining wall to be reinforced is in a design stage, a reinforcement mode is adopted: changing filling retaining wall material and thus changing modulus of elasticityChanging the boundary fixing mode, increasing the thickness of the local unstable region, and at least one of the three; when the filled retaining wall to be reinforced is an existing filled retaining wall, the reinforcing means adopts at least one of changing the boundary fixing mode and increasing the thickness of the locally unstable region. For example, the boundary fixed mode (for example, the mode one is changed to the mode three) can be changed, the stability is calculated and analyzed through the corresponding mode after the change, and if the stability after the change meets the requirement, the mode is only used for reinforcement; when stability is not ensured after changing the boundary fixing mode, a reinforcing mode for increasing the thickness of the local unstable region or a mode for changing the filling retaining wall material is further adopted.
In the step II, a corresponding local thickness increasing formula is selected according to the boundary fixing mode of the filled retaining wall, and for each discrete point on the unstable area, the local thickness to be increased is calculated by adopting the local thickness increasing formula;
the local thickness increase formula for mode one is:
；
the local thickness increase formula for mode two is:
；
the local thickness increase formula for mode three is:
；
the local thickness increase formula for pattern four is:
；
in the method, in the process of the invention,to fill the maximum tensile strength of the retaining wall material,h 1 ~h 4 the thickness that should be increased to reach steady state for the discrete points currently calculated in the four modes. The thickness to be increased can be accurately calculated through the partial thickness increasing formula, and then the shape and the size of the partial (unstable area) thickness increased of the outermost cross section are obtained, and the final thickening scheme of the retaining wall is designed based on the shape and the size.
In the method, in the step I, the calculation and analysis are carried out on the sections one by one from the neutral surface of the filled retaining wall, once the discrete points of which the single side exceeds the threshold J% in the sections of the current calculation and analysis are unstable, the J is more than 10 and less than 90 (the recommended value of J is 30-40), the calculation and the analysis are stopped, and the filled retaining wall is in an unstable state at the moment and directly enters the step II; in the step II, whether the current cross section with the super threshold value is the outermost cross section is further judged, and if so, the unstable area is locally reinforced; if not, selecting to change the boundary fixing mode (changing to a firmer fixing mode, if the boundary fixing mode cannot be changed or the firmest fixing mode is currently located, directly carrying out integral reinforcement and thickening of the retaining wall) or carrying out integral reinforcement and thickening of the retaining wall, and then re-executing the steps I and II; in step II, for both neutral planesSide-structure symmetrical filled retaining walls, in the case of local reinforcement, of an outermost cross-section based on computational analysisAnd->Determining local reinforcement conditions of two side walls in the thickness direction of the filling retaining wall: according to->Determining the local reinforcement thickness of the individual discrete points on the outermost cross-section and according to +.>The local reinforcement thickness of each discrete point on the other outermost section symmetrical to the outermost section in the thickness direction is determined. By doing so, the stability of the filled retaining wall can be more effectively analyzed and determined, and a reasonable reinforcement scheme is provided.
Furthermore, the invention also provides a system for calculating and analyzing the stability of the filling retaining wall, which can automatically realize the method, and comprises the following steps:
the discrete model construction part is used for constructing a three-dimensional structure model of the filling retaining wall by taking the neutral plane of the filling retaining wall as a reference according to the position and the size parameters of the filling retaining wall in the stope, and performing discretization to obtain discrete point arrays which are sequentially arranged in the thickness direction, wherein each discrete point array corresponds to a section in the thickness direction, all discrete points in the discrete point arrays correspond to the same thickness, different lengths and different height positions to form a discrete model, and the position coordinates of single discrete point are [ ]x,y,z)，x、y、zThe length, the height and the thickness of the discrete model are respectively,zthe position where the neutral plane is located at=0;
a mode determining part for determining the boundary fixing mode of the filling retaining wall in the stope: the first mode is that the filling retaining wall is not reinforced, the second mode is that the filling retaining wall is reinforced by vertical steel bars, the third mode is that the filling retaining wall is reinforced by horizontal steel bars and vertical steel bars, and the fourth mode is that the filling retaining wall is reinforced by horizontal steel bars;
a parameter acquisition unit for acquiring stope filling-related parameters: filling slurry volume weightFilling stope height->Elastic modulus of filled retaining wall material>；
The stress distribution calculation part is used for selecting a corresponding filling retaining wall stability model according to the boundary fixing mode of the filling retaining wall determined by the mode determination part, inputting the parameters acquired by the parameter acquisition part, and calculating the stress at two sides of each discrete point on each section of the filling retaining wall in the discrete model constructed by the discrete model construction part along the thickness direction of the filling retaining wall so as to obtain the stress distribution condition on the section;
the filling retaining wall stability model of the first mode is as follows:
；
in the method, in the process of the invention,and->Stress on the outside and inside of the current section of the filled retaining wall, respectively,/->Poisson ratio for filling retaining wall material +.>For filling the length of the retaining wall->To fill the height of the retaining wall->；K=b/a；/>，h 0 The design thickness or the original thickness of the filling retaining wall is as follows;
the filling retaining wall stability model of the second mode is as follows:
；
the filling retaining wall stability model in the third mode is as follows:
；
the filling retaining wall stability model in the fourth mode is as follows:
；
an analysis and judgment part for performing stability analysis and judgment according to the steps 5-1 to 5-3;
step 5-1, calculating stress according to the stress distribution calculation unitσ 1 Andσ 2 calculating the stability values of the two sides of each discrete point by adopting the following formulaF 1 AndF 2 ：
；
in the method, in the process of the invention,maximum tensile strength for filling the retaining wall material;
step 5-2 according toAnd->Determining the bilateral stability of the discrete point when +.>Less than 0, indicating that the outside of the discrete point is unstable; when->Less than 0, indicating instability inside the discrete point;
step 5-3, analyzing and judging each discrete point on the section according to the steps 5-1-5-2, further obtaining stability distribution conditions of two sides of each section in the thickness direction of the filling retaining wall, and determining the position and the range of an unstable area;
and the control part is in communication connection with the discrete model construction part, the mode determination part, the parameter acquisition part, the stress distribution calculation part and the analysis judgment part and controls the operation of the discrete model construction part, the mode determination part, the parameter acquisition part, the stress distribution calculation part and the analysis judgment part.
Preferably, the system for calculating and analyzing the stability of the filling retaining wall provided by the invention further comprises: and the input display part is in communication connection with the control part and is used for enabling a user to input an operation instruction and correspondingly display the operation instruction.
Preferably, the system for calculating and analyzing the stability of the filling retaining wall provided by the invention further comprises: and the reinforcement design part is used for carrying out accurate reinforcement design on corresponding reinforcement measures of the unstable area simulation design according to the stability distribution condition.
Effects and effects of the invention
The method and the system for calculating, analyzing and reinforcing the stability of the filled retaining wall fully consider the influence of the filling environment and different reinforcing modes on the filled retaining wall, and provide a stability model and a calculation formula for accurately calculating and analyzing the stability, can select corresponding stability models of the filled retaining wall for calculating stress distribution conditions according to different boundary fixing modes, and are then based on stability valuesF 1 AndF 2 the stability analysis and judgment are carried out on each discrete point on each section in the discrete model of the filling retaining wall, so that the stability condition of each position on the filling retaining wall is rapidly and accurately identified, and the unstable region is accurately positioned, thereby carrying out targeted local reinforcement on a specific local unstable region (under the condition that the filling retaining wall exists in a stope) orAnd the design is locally reinforced (under the condition that the filling retaining wall is in the design stage), so that the safety of the filling retaining wall is scientifically and reasonably ensured, and unnecessary cost investment is reduced.
Drawings
FIG. 1 is a schematic view of a stope environment and a filling retaining wall setting position according to an embodiment of the present invention;
FIG. 2 is a three-dimensional structure model of a filled retaining wall according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of stress distribution on the outside and inside of a section calculated based on a model three-filling retaining wall stability model according to an embodiment of the present invention;
FIG. 4 shows calculated outside stresses in different boundary fixing modes for multiple consecutive sections of the same filled retaining wall according to an embodiment of the present inventionA distribution condition schematic diagram (only a part of cross section condition is shown) sequentially from top to bottom (a) to (d) in a mode one to a mode four;
FIG. 5 shows the calculated internal stress of multiple continuous sections of the same filled retaining wall in different boundary fixing modes according to the embodiment of the present inventionA distribution condition schematic diagram (only a part of cross section condition is shown) sequentially from top to bottom (a) to (d) in a mode one to a mode four;
FIG. 6 is a schematic diagram of stability distribution of the outside and inside of a cross section according to an embodiment of the present invention;
FIG. 7 is a diagram showing the calculated stress distribution of the outer and inner sides of the outermost cross section of a filled retaining wall according to an embodiment of the present invention;
FIG. 8 is a schematic diagram showing the stability distribution calculated on the outer side and the inner side of the outermost cross section of a filled retaining wall according to an embodiment of the present invention;
fig. 9 is a schematic diagram of a retaining wall structure (half of a filled retaining wall) on the neutral plane side according to an embodiment of the present invention;
fig. 10 is a schematic view of a reinforcing model of two outermost cross sections (left and right outer wall surfaces of a three-dimensional structure of a filled retaining wall in a thickness direction) of a filled retaining wall according to an embodiment of the present invention;
fig. 11 is a diagram illustrating the stress condition verification of the reinforcement scheme of the two outermost sections of the filled retaining wall according to the embodiment of the present invention.
Detailed Description
The following describes in detail the concrete embodiments of the method and system for calculating and analyzing the stability of the filled retaining wall according to the present invention with reference to the accompanying drawings.
As shown in fig. 1, in a stope, the length of a filling retaining wall=3.2m, high +.>Filling wall thickness =3.0m filling wall thickness +.>The filling retaining wall is made of concrete with the elastic modulus =0.2m>=0.58 GPa, poisson's ratio +.>=0.2, maximum tensile strengthσ tmax The filling retaining wall is reinforced by transverse and vertical steel bars, wherein the thickness of the filling retaining wall is 0.35 MPa. Filling slurry volume weight +.>=2000KN/m 3 Filling stope height=7m. In this embodiment, by adopting the method for calculating and analyzing the stability of the filled retaining wall provided by the present invention, the stability of the filled retaining wall is calculated and analyzed, specifically:
step 1, modeling according to the position and the size parameters of a filling retaining wall in a stope by taking the neutral plane of the filling retaining wall as a reference, and constructing a filling retaining wallThe wall three-dimensional structure model is subjected to discretization to obtain discrete point arrays which are sequentially arranged in the thickness direction, each discrete point array corresponds to a section in the thickness direction, all discrete points in the discrete point arrays correspond to the same thickness, different lengths and different height positions to form the discrete model, and the position coordinates of the single discrete point are [ ]x,y,z)，x、y、zThe length, the height and the thickness of the discrete model are respectively,zthe position where the neutral plane is located is =0.
As shown in fig. 2, the filled retaining wall is generally rectangular, the neutral plane is a cross section of half the thickness of the filled retaining wall, and the structures on two sides of the neutral plane are symmetrical, so that only the retaining wall structure on any side of the neutral plane needs to be modeled and discretized, and the discrete model is only half of the filled retaining wall. In the case of a discrete model of the model,xthe range of the value is 0 to 0，yThe value range is 0 to->，zThe value range is 0-1/2%>。
The model is discretized in three-dimensional space, and the discretization condition is as follows:
at the position ofzThe discrete point array formed after the =0 neutral plane is:
；
similarly, inzAnd performing the same discrete processing on the = -0.1 to obtain a discrete point array of each section.
For example, inzThe discrete case on =0.1 is as follows:
；
step 2, determining a boundary fixing mode of a filling retaining wall in a stope: the first mode is that the filling retaining wall is not reinforced, the second mode is that the filling retaining wall is reinforced by vertical steel bars, the third mode is that the filling retaining wall is reinforced by horizontal steel bars and vertical steel bars, and the fourth mode is that the filling retaining wall is reinforced by horizontal steel bars.
In this embodiment, the filling retaining wall has a horizontal reinforcement and a vertical reinforcement, which belongs to the third mode.
Step 3, acquiring stope filling related parameters: filling slurry volume weightFilling stope height->Elastic modulus of filled retaining wall material>。
And 4, selecting a corresponding filling retaining wall stability model according to the boundary fixing mode of the filling retaining wall determined in the step 2, inputting the parameters obtained in the step 3, and calculating the stress on two sides of each discrete point on each section of the filling retaining wall in the discrete model constructed in the step 1 along the thickness direction of the filling retaining wall, so as to obtain the stress distribution condition on the section.
The filling retaining wall stability model of the first mode is as follows:
；
in the method, in the process of the invention,and->Stress on the outside and inside of the current section of the filled retaining wall, respectively,/->Poisson ratio for filling retaining wall material +.>For filling the length of the retaining wall->To fill the height of the retaining wall->；K=b/a；/>，h 0 The design thickness or the original thickness of the filling retaining wall is as follows;
the filling retaining wall stability model of the second mode is as follows:
；
the filling retaining wall stability model in the third mode is as follows:
；
the filling retaining wall stability model in the fourth mode is as follows:
；
in this embodiment, according to step 2, the stability model of the filling retaining wall in the third mode is adopted to calculate, so as to obtain the outer side of one of the sections #Calculated) and medial (/ -for)>Calculated) stress distribution is shown in FIG. 3, and FIG. 4 (c) shows the stress at the outer side of different sections>Distribution, FIG. 5 (c) shows the stress inside different sections +.>Distribution.
In addition, as shown in fig. 4 (a) - (d) and 5 (a) - (d), the stress distribution conditions on two sides of the cross section in different modes are obviously different, so that the boundary fixing mode needs to be determined first, and then calculation is performed according to the filling retaining wall stability model in the corresponding mode.
And 5, performing stability analysis and judgment.
Step 5-1, stress calculated according to step 4σ 1 Andσ 2 calculating the stability values of the two sides of each discrete point by adopting the following formulaF 1 AndF 2 ：
；
in the method, in the process of the invention,is the maximum tensile strength of the filled retaining wall material.
Step 5-2 according toAnd->Determining the bilateral stability of the discrete point when +.>Less than 0, indicating that the outside of the discrete point is unstable; when->Less than 0 indicates an unstable inside the discrete point.
And 5-3, analyzing and judging each discrete point on the section according to the steps 5-1-5-2, further obtaining stability distribution conditions of two sides of each section in the thickness direction of the filling retaining wall, and determining the position and the range of an unstable area. The stability profile includes: whether each discrete point is stable or not, based on the specific difference of stability shown by positive and negative values deviating from 0 on two sides of the discrete point, the position of the discrete point and the area range of the unstable discrete point.
In the present embodiment, as shown in FIG. 6, according to each discrete point on each sectionAnd->And generating a corresponding stability distribution condition diagram, and displaying the stability of each discrete point on each section and the change condition in the thickness direction through the diagram, wherein the values corresponding to the central pie-shaped area in the outer diagram and the four small arc-shaped areas at the edge in the inner diagram are smaller than 0, and the unstable areas (formed by the discrete unstable points) are formed.
In the above process, step 4 calculates the stress of each discrete point, and step 5 further calculates and judges the stability of the discrete point.
As can be seen from fig. 3, 4 (c), 5 (c) and 6, the filled retaining wall has a locally unstable region and needs to be reinforced. Further, the present embodiment adopts the reinforcement method provided by the present invention to perform reinforcement design on the filled retaining wall based on the stability distribution condition of the filled retaining wall above:
and step I, obtaining the stability distribution condition of the filling retaining wall by adopting the steps 1-5.
In the step I, the calculation analysis is carried out on the sections one by one from the neutral surface of the filling retaining wall to the outside, once the discrete points of which the single side exceeds the threshold J% in the sections of the current calculation analysis are unstable, the J is more than 10 and less than 90, the calculation analysis is stopped, and the filling retaining wall is in an unstable state at the moment and directly enters the step II. In this embodiment, j=40.
And II, accurately reinforcing corresponding reinforcing measures for the unstable area simulation design according to the stability distribution condition. When the filling retaining wall to be reinforced is in the design stage, the reinforcing mode can be as follows: changing filling retaining wall material and thus changing modulus of elasticityChanging the mode of fixation of the boundary, increasing the local unstable regionThickness, at least one of three; when the filled retaining wall to be reinforced is an existing filled retaining wall, the reinforcing means adopts at least one of changing the boundary fixing mode and increasing the thickness of the locally unstable region.
And selecting a corresponding local thickness increasing formula according to the boundary fixing mode of the filling retaining wall, and calculating the local thickness to be increased by adopting the local thickness increasing formula for each discrete point on the unstable region.
The local thickness increase formula for mode one is:
；
the local thickness increase formula for mode two is:
；
the local thickness increase formula for mode three is:
；
the local thickness increase formula for pattern four is:
；
in the method, in the process of the invention,to fill the maximum tensile strength of the retaining wall material,h 1 ~h 4 the thickness that should be increased to reach steady state for the discrete points currently calculated in the four modes.
In the step II, whether the current cross section with the super threshold value is the outermost cross section is further judged, and if so, the unstable area is locally reinforced; if not, the boundary fixing mode is selected to be changed or the whole retaining wall is reinforced and thickened, and then the steps I and II are re-executed. In addition, in the case where the filler slurry volume weight can be adjusted, the filler slurry volume weight can also be changed, and then steps I and II are re-performed.
For the filling retaining wall with symmetrical structures at two sides of the neutral plane, the filling retaining wall is based on the outermost cross section of the calculation and analysis under the condition of local reinforcementAnd->Determining local reinforcement conditions of two side walls in the thickness direction of the filling retaining wall: according to->Determining the local reinforcement thickness of the individual discrete points on the outermost cross-section and according to +.>The local reinforcement thickness of each discrete point on the other outermost section symmetrical to the outermost section in the thickness direction is determined.
In this embodiment, the existing filled retaining wall cannot be replaced with a more firm fixed mode, so that the reinforcement mode can be adopted to increase the local unstable area. As shown in fig. 7 and 8, the distribution and stability of the internal and external stresses of an outermost cross section of the filled retaining wall (denoted as the right outer wall surface of the filled retaining wall) are shown. As shown in FIG. 8, according to the stability, the area of the outermost cross section of the filled retaining wall, the middle of the outer side resembling a quadrangle star shape, is an unstable area (fromCalculated) the arc-shaped region at the inner four edges is an unstable region (from +.>Calculated).
Therefore, the reinforcement design is performed on the half-filled retaining wall model shown in fig. 9, and the local thickness to be increased at each discrete point on the unstable region is calculated by using the step II to obtain the reinforcement model (reinforcement scheme) shown in fig. 10, the local reinforcement thickness at each discrete point on the outer wall surface on the right side is determined to obtain the outer reinforcement scheme, and the local reinforcement thickness at each discrete point on the outer wall surface on the left side is determined to obtain the inner reinforcement scheme. As shown in fig. 11, it is verified that the reinforcing scheme of fig. 10 can uniformly distribute the stress of the filled retaining wall, and the stress does not exceed the instability value, so as to effectively ensure the stability of the filled retaining wall.
According to the reinforcing scheme of fig. 10, when reinforcing the filled retaining wall, quick-drying sprayed concrete molding can be adopted, or a wood plate is used as a mold for auxiliary molding, and the shape can be adjusted to be a regular shape which is easier to implement based on the reinforcing scheme, for example, the contour of the outer side shape is adjusted to be square for reinforcing.
In addition, the embodiment also provides a system capable of automatically realizing the method and calculating, analyzing and reinforcing the stability of the filled retaining wall, and the system comprises a discrete model constructing part, a mode determining part, a parameter acquiring part, a stress distribution calculating part, an analysis judging part, a reinforcing design part, an input display part and a control part.
The discrete model building part performs the description of the step 1, models the filled retaining wall based on the neutral plane of the filled retaining wall according to the position and the size parameters of the filled retaining wall in the stope, builds a three-dimensional structure model of the filled retaining wall and performs the discrete.
The mode determining section performs the above description of step 2 to determine the boundary fixing mode of the filled retaining wall in the stope.
The parameter acquisition section performs the above description of step 3 to acquire the stope filling related parameters: filling slurry volume weightFilling stope height->Elastic modulus of filled retaining wall material>。
The stress distribution calculating part executes the description of the step 4, selects the corresponding filling retaining wall stability model according to the boundary fixing mode of the filling retaining wall determined by the mode determining part, inputs the parameters acquired by the parameter acquiring part, and calculates the stress at two sides of each discrete point on each section of the filling retaining wall in the discrete model constructed by the discrete model constructing part along the thickness direction of the filling retaining wall, thereby obtaining the stress distribution condition on the section.
The analysis and judgment part executes the content described in the step 5, and performs stability analysis and judgment according to the steps 5-1 to 5-3.
The reinforcement design part executes the content described in the step II, and performs accurate reinforcement design on corresponding reinforcement measures of the unstable area simulation design according to the stability distribution condition.
The input display part is connected with the control part in a communication way and is used for enabling a user to input operation instructions and correspondingly displaying input, output and intermediate processing data of each part. For example, FIGS. 1-11 are shown with corresponding operation instructions.
The control part is communicated with the discrete model construction part, the mode determination part, the parameter acquisition part, the stress distribution calculation part, the analysis judgment part, the reinforcement design part and the input display part, and controls the operation of the discrete model construction part, the mode determination part, the parameter acquisition part, the stress distribution calculation part, the analysis judgment part, the reinforcement design part and the input display part.
The above embodiments are merely illustrative of the technical solutions of the present invention. The method and system for calculating and analyzing the stability of the filled retaining wall according to the present invention are not limited to the above embodiments, but the scope of the invention is defined by the 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 (10)

1. The method for calculating and analyzing the stability of the filling retaining wall is characterized by comprising the following steps of:
step 1, modeling according to the position and size parameters of a filling retaining wall in a stope by taking the neutral plane of the filling retaining wall as a reference, constructing a three-dimensional structure model of the filling retaining wall, and dispersing to obtain a discrete point array which is sequentially arranged in the thickness direction, wherein each discrete point array is formed byThe discrete point arrays correspond to one section in the thickness direction, all the discrete points in the discrete point arrays correspond to the same thickness, different lengths and different height positions to form a discrete model, and the position coordinates of the single discrete point are as followsx,y,z)，x、y、zThe length, the height and the thickness of the discrete model are respectively,zthe position where the neutral plane is located at=0;
step 2, determining a boundary fixing mode of a filling retaining wall in a stope: the first mode is that the filling retaining wall is not reinforced, the second mode is that the filling retaining wall is reinforced by vertical steel bars, the third mode is that the filling retaining wall is reinforced by horizontal steel bars and vertical steel bars, and the fourth mode is that the filling retaining wall is reinforced by horizontal steel bars;
step 3, acquiring stope filling related parameters: filling slurry volume weightFilling stope height->Elastic modulus of filled retaining wall material>；
Step 4, selecting a corresponding filling retaining wall stability model according to the boundary fixing mode of the filling retaining wall determined in the step 2, inputting the parameters obtained in the step 3, and calculating the stress at two sides of each discrete point on each section of the filling retaining wall in the discrete model constructed in the step 1 along the thickness direction of the filling retaining wall, so as to obtain the stress distribution condition on the section;
the filling retaining wall stability model of the first mode is as follows:
；
in the method, in the process of the invention,and->Stress on the outside and inside of the current section of the filled retaining wall, respectively,/->Poisson ratio for filling retaining wall material +.>For filling the length of the retaining wall->To fill the height of the retaining wall->；K=b/a；/>，h 0 The design thickness or the original thickness of the filling retaining wall is as follows;
the filling retaining wall stability model of the second mode is as follows:
；
the filling retaining wall stability model in the third mode is as follows:
；
the filling retaining wall stability model in the fourth mode is as follows:
；
step 5, stability analysis and judgment:
step 5-1, stress calculated according to step 4σ 1 Andσ 2 calculating the stability values of the two sides of each discrete point by adopting the following formulaF 1 AndF 2 ：
；
in the method, in the process of the invention,maximum tensile strength for filling the retaining wall material;
step 5-2 according toAnd->Determining the bilateral stability of the discrete point when +.>Less than 0, indicating that the outside of the discrete point is unstable; when->Less than 0, indicating instability inside the discrete point;
and 5-3, analyzing and judging each discrete point on the section according to the steps 5-1-5-2, further obtaining stability distribution conditions of two sides of each section in the thickness direction of the filling retaining wall, and determining the position and the range of an unstable area.
2. The method for calculating and analyzing the stability of a filled retaining wall according to claim 1, wherein:
in step 1, the neutral plane is a section of half of the thickness of the filled retaining wall, and for the filled retaining wall with symmetrical structures on both sides of the neutral plane, only modeling and dispersing are needed for the retaining wall structure positioned on any side of the neutral plane, and the discrete model is only half of the filled retaining wall; in the discrete model of the model,xthe range of the value is 0 to 0，yThe value range is 0 to->，zThe value range is 0-1/2%>Design thickness->Refers to the fact that the filling retaining wall does not exist actually, but is only in the preset thickness of the design stage, the original thickness +.>Refers to the actual thickness of the filled retaining wall already present in the stope.
3. The method for calculating and analyzing the stability of a filled retaining wall according to claim 1, wherein:
wherein, step 4 calculates the stress of a discrete point, and step 5 further calculates and judges the stability of the discrete point.
4. The method for calculating and analyzing the stability of a filled retaining wall according to claim 1, wherein:
wherein, in step 5-2, each discrete point on each section is also referred toAnd->A corresponding stability profile is generated, by means of which the stability of each discrete point on each section and the variation in the thickness direction are displayed.
5. The method for calculating and analyzing the stability of a filled retaining wall according to claim 1, wherein:
wherein, in step 5-3, the stability distribution condition includes: whether each discrete point is stable or not, based on the specific difference of stability shown by positive and negative values deviating from 0 on two sides of the discrete point, the position of the discrete point and the area range of the unstable discrete point.
6. The reinforcing method based on the calculation and analysis of the stability of the filling retaining wall is characterized by comprising the following steps of:
step I, obtaining stability distribution conditions of the filled retaining wall by adopting the method for calculating and analyzing the stability of the filled retaining wall according to any one of claims 1-5;
and II, accurately reinforcing corresponding reinforcing measures for the unstable area simulation design according to the stability distribution condition.
7. The reinforcement method based on the calculation and analysis of the stability of the filled retaining wall according to claim 6, wherein:
in step II, when the filled retaining wall to be reinforced is in the design stage, the reinforcing mode is as follows: changing filling retaining wall material and thus changing modulus of elasticityChanging the boundary fixing mode, increasing the thickness of the local unstable region, and at least one of the three;
when the filled retaining wall to be reinforced is an existing filled retaining wall, the reinforcing means adopts at least one of changing the boundary fixing mode and increasing the thickness of the locally unstable region.
8. The reinforcement method based on the calculation and analysis of the stability of the filled retaining wall according to claim 6, wherein:
in step II, selecting a corresponding local thickness increasing formula according to the boundary fixing mode of the filling retaining wall, and calculating a local thickness to be increased by adopting the local thickness increasing formula for each discrete point on the unstable region;
the local thickness increase formula for mode one is:
；
the local thickness increase formula for mode two is:
；
the local thickness increase formula for mode three is:
；
the local thickness increase formula for pattern four is:
；
in the method, in the process of the invention,h 1 ~h 4 the thickness that should be increased to reach steady state for the discrete points currently calculated in the four modes.
9. The reinforcement method based on the calculation and analysis of the stability of the filled retaining wall according to claim 6, wherein:
in the step I, calculating and analyzing the sections one by one from the neutral surface of the filled retaining wall outwards, and once the discrete points of which the single side exceeds a threshold J% in the sections of the current calculating and analyzing are unstable, wherein J is more than 10 and less than 90, stopping calculating and analyzing, and directly entering the step II after the filled retaining wall is in an unstable state;
in the step II, whether the current cross section with the super threshold value is the outermost cross section is further judged, and if so, the unstable area is locally reinforced; if not, selecting to change the boundary fixing mode or to carry out the integral reinforcement and thickening of the retaining wall, and then re-executing the steps I and II;
in step II, for the filled retaining wall with symmetrical structures at both sides of the neutral plane, in the case of local reinforcement, one outermost section is analyzed according to calculationAnd->Determining local reinforcement conditions of two side walls in the thickness direction of the filling retaining wall: according to->Determining the local reinforcement thickness of the individual discrete points on the outermost cross-section and according to +.>The local reinforcement thickness of each discrete point on the other outermost section symmetrical to the outermost section in the thickness direction is determined.
10. The filling retaining wall stability calculation and analysis system is characterized by comprising:
the discrete model construction part is used for constructing a three-dimensional structure model of the filling retaining wall by taking the neutral plane of the filling retaining wall as a reference according to the position and the size parameters of the filling retaining wall in the stope, and performing discretization to obtain discrete point arrays which are sequentially arranged in the thickness direction, wherein each discrete point array corresponds to a section in the thickness direction, all discrete points in the discrete point arrays correspond to the same thickness, different lengths and different height positions to form a discrete model, and the position coordinates of single discrete point are [ ]x,y,z)，x、 y、zThe length, the height and the thickness of the discrete model are respectively,zthe position where the neutral plane is located at=0;
a mode determining part for determining the boundary fixing mode of the filling retaining wall in the stope: the first mode is that the filling retaining wall is not reinforced, the second mode is that the filling retaining wall is reinforced by vertical steel bars, the third mode is that the filling retaining wall is reinforced by horizontal steel bars and vertical steel bars, and the fourth mode is that the filling retaining wall is reinforced by horizontal steel bars;
a parameter acquisition unit for acquiring stope filling-related parameters: filling slurry volume weightFilling stope height->Elastic modulus of filled retaining wall material>；
The stress distribution calculation part is used for selecting a corresponding filling retaining wall stability model according to the boundary fixing mode of the filling retaining wall determined by the mode determination part, inputting the parameters acquired by the parameter acquisition part, and calculating the stress at two sides of each discrete point on each section of the filling retaining wall in the discrete model constructed by the discrete model construction part along the thickness direction of the filling retaining wall so as to obtain the stress distribution condition on the section;
the filling retaining wall stability model of the first mode is as follows:
；
in the method, in the process of the invention,and->Stress on the outside and inside of the current section of the filled retaining wall, respectively,/->Poisson ratio for filling retaining wall material +.>For filling the length of the retaining wall->To fill the height of the retaining wall->；K=b/a；/>，h 0 The design thickness or the original thickness of the filling retaining wall is as follows;
the filling retaining wall stability model of the second mode is as follows:
；
the filling retaining wall stability model in the third mode is as follows:
；
the filling retaining wall stability model in the fourth mode is as follows:
；
an analysis and judgment part for performing stability analysis and judgment according to the steps 5-1 to 5-3;
step 5-1, calculating stress according to the stress distribution calculation unitσ 1 Andσ 2 calculating the stability values of the two sides of each discrete point by adopting the following formulaF 1 AndF 2 ：
；
in the method, in the process of the invention,maximum tensile strength for filling the retaining wall material;
step 5-2 according toAnd->Determining the bilateral stability of the discrete point when +.>Less than 0, indicating that the outside of the discrete point is unstable; when->Less than 0, indicating instability inside the discrete point;
step 5-3, analyzing and judging each discrete point on the section according to the steps 5-1-5-2, further obtaining stability distribution conditions of two sides of each section in the thickness direction of the filling retaining wall, and determining the position and the range of an unstable area;
and the control part is in communication connection with the discrete model construction part, the mode determination part, the parameter acquisition part, the stress distribution calculation part and the analysis judgment part and controls the operation of the discrete model construction part, the mode determination part, the parameter acquisition part, the stress distribution calculation part and the analysis judgment part.
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