CN112597681B - Calculation method and calculation system for horizontal displacement caused by large-area stacking - Google Patents
Calculation method and calculation system for horizontal displacement caused by large-area stacking Download PDFInfo
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Abstract
The invention discloses a method and a system for calculating horizontal displacement caused by large-area stacking, wherein the method comprises the steps of deducing a horizontal displacement analytic solution caused by elastic semi-infinite space large-area stacking based on a Buchenksk solution, determining the maximum depth of the horizontal displacement caused by stacking, calculating a deformation parameter according to an in-situ test result, and carrying out depth correction on the deformation parameter below the maximum horizontal displacement occurrence depth, so that the analytic solution is substituted to obtain a deformation value which accords with the actual arbitrary position of a horizontal displacement field, and finally forming a method for calculating the horizontal displacement correction of a soil body under the action of large-area stacking based on the Buchenksk solution and the in-situ test. The method is based on the elastic mechanics theory to deduce the analytic expression of the horizontal displacement of the foundation soil under the action of large-area load, thereby realizing the calculation of the deformation value of any position of the horizontal displacement field; and carrying out depth correction on the deformation parameters, thereby solving the problems that the horizontal displacement in the semi-infinite space is not converged along with the increase of the depth and is not accordant with the actual engineering.
Description
Technical Field
The invention belongs to the technical field of foundation treatment, and particularly relates to a calculation method and a calculation system for horizontal displacement caused by large-area stacking.
Background
In recent years, in urban construction, there are more and more large-area stacking projects, such as large-area stacking preloading foundation treatment projects, large-area stacking landscaping projects, large-area muck digestion projects, and the like, and the stacking width often reaches hundreds of meters or even more than kilometers, such as a certain large-area stacking preloading foundation treatment project in a boat and a mountain, the stacking area reaches 400 ten thousand meters 2 In the large-area residue soil digestion project in Shanghai, the stacking area reaches 350 ten thousand meters 2 . The horizontal displacement of the soil body caused by the stacking loading is possibleThe foundation of the adjacent building generates additional deformation, particularly large-area stacking has the characteristics of wide load action range, large stacking pressure and deep influence depth, and the reasonable determination of the horizontal displacement field of the soil body directly influences the engineering safety.
Under the action of large-area stacking, the influence factors of a horizontal displacement field are numerous, and a simple and convenient determination method is not available at present. In engineering, two methods are mainly used for predicting horizontal displacement under the action of large-area stacking, one is theoretical derivation analytical solution, but the theoretical derivation assumes that foundation soil is a uniform, continuous and isotropic semi-infinite space elastomer, which is not consistent with the reality, the compression modulus of a soil body is obviously increased along with the increase of depth, the deep horizontal displacement calculated by the theoretical solution is usually larger than the actual horizontal displacement, in general, deformation parameters in theoretical calculation adopt indoor test results, and soil sample disturbance also brings certain errors to parameter values; and secondly, numerical simulation, the finite element method involves more simplification and assumption, and influence factors have diversity, complexity, ambiguity and uncertainty, so that the method has strong human interference and reduces the practical value.
Therefore, it is necessary to provide a method for calculating horizontal displacement caused by large-area stacking, which not only meets the requirement of engineering precision, but also is convenient for engineering application.
Disclosure of Invention
The invention aims to provide a method and a system for calculating horizontal displacement caused by large-area stacking, wherein the method comprises the steps of deducing a horizontal displacement analytical solution caused by elastic semi-infinite space large-area stacking based on a Buchnesekg solution, determining the maximum depth of the horizontal displacement caused by stacking according to engineering experience, calculating a deformation parameter according to an in-situ test result, and carrying out depth correction on the deformation parameter below the maximum horizontal displacement occurrence depth, so that the analytical solution is substituted to obtain a deformation value which accords with the actual horizontal displacement field at any position, and finally forming a method for calculating the soil body horizontal displacement correction under the action of large-area stacking based on the Buchnesekg solution and the in-situ test.
The technical scheme of the invention is that a method for calculating horizontal displacement caused by large-area stacking comprises the following steps:
(1) Deducing a horizontal displacement analytic solution caused by large-area stacking according to the Buchneisk solution;
(2) Determining the depth z of occurrence of the maximum horizontal displacement caused by stacking max ；
(3) Calculating the horizontal compressive modulus and Poisson's ratio of each depth according to the in-situ test result;
(4) For z max Multiplying the horizontal compressive modulus of the following soil layer by the depth correction factor ψ = z/z max (ii) a Wherein z is depth;
(5) And substituting the corrected horizontal compression modulus and other known calculation parameters into a horizontal displacement analysis solution which is derived by Buchnesk solution and is caused by large-area stacking, so that the deformation value of any position of the horizontal displacement field can be calculated.
The invention is further improved in that: in the step (2), determining the occurrence depth z of the maximum horizontal displacement caused by stacking max The process of (2) comprises:
calculating the vertical displacement influence depth H;
according to the depth z of occurrence of the maximum horizontal displacement caused by stacking max The maximum horizontal displacement occurrence depth z is obtained according to the correlation relation between the vertical displacement and the influence depth H max 。
The invention is further improved in that: and the vertical displacement influence depth H is determined by a stress control method or a strain control method.
The invention is further improved in that: the in-situ test method comprises static sounding, standard penetration, side pressing and flat shoveling.
The invention is further improved in that: in the step (5), the known parameters comprise a horizontal distance x between a measuring point position and a load central point, a depth z of the measuring point position, a uniformly distributed load q, a soil layer Poisson ratio upsilon, a horizontal compression modulus E and a load acting width b.
The invention also includes a system for calculating the horizontal displacement caused by large-area stacking, comprising:
the vertical displacement influence depth calculation module is used for determining the vertical displacement influence depth H caused by stacking in a stress control method or a strain control method;
the maximum horizontal displacement occurrence depth calculation module is used for determining the maximum horizontal displacement occurrence depth z caused by stacking loading according to the vertical displacement influence depth H output by the vertical displacement influence depth calculation module and based on the correlation between the maximum horizontal displacement occurrence depth caused by stacking loading and the vertical displacement influence depth H max ；
A parameter correction module for calculating the horizontal compression modulus and Poisson's ratio of each depth based on in-situ test result and generating depth z for maximum horizontal displacement max Correcting parameters of horizontal compression modulus of lower soil layer by using the maximum horizontal displacement occurrence depth z max Multiplying the horizontal compressive modulus of the following soil layer by the depth correction factor ψ = z/z max Wherein z is depth;
the displacement solving module is used for substituting the corrected horizontal compression modulus and other known calculation parameters into a horizontal displacement analytic solution derived from Bucinesk and caused by large-area stacking load to carry out horizontal displacement solving;
and the drawing module is used for drawing a horizontal displacement curve changing along the depth at any position and/or drawing a horizontal displacement cloud picture under the action of large-area stacking.
The invention has the beneficial effects that: the invention provides a method and a system for calculating horizontal displacement caused by large-area stacking, which are used for deducing an analytic expression of the horizontal displacement of foundation soil under the action of large-area load based on an elastic mechanics theory so as to realize the calculation of the deformation value of any position of a horizontal displacement field; the deformation parameters are subjected to depth correction, so that the problems that horizontal displacement in a semi-infinite space is not converged along with the increase of depth and is not in accordance with the actual engineering are solved; the compression modulus is determined by an in-situ test method, so that the parameters are more accurate. The method is convenient for engineering application, and the calculation precision can meet the engineering requirements through multiple engineering verifications.
Drawings
FIG. 1 is a flow chart of a method for calculating horizontal displacement caused by large-area stacking according to the present invention.
FIG. 2 is a graph comparing the actual measurement result of the horizontal displacement caused by the preloading with the calculation result of the method of the present invention in one embodiment;
fig. 3 is a block diagram of a horizontal displacement calculation system caused by a large-area heap.
Detailed Description
As shown in fig. 1, an embodiment of the present invention provides a method for calculating a horizontal displacement caused by a large area stacking load, including the following steps:
(1) Deducing a horizontal displacement analytical solution caused by large-area stacking according to the Buchneisk solution, wherein the expression is as follows:
wherein, U-horizontal displacement (m); x is the horizontal distance (m) between the position of the measuring point and the central point of the load; z-depth of the measured point location (m); q-uniform load (i.e. additional stress of large-area stacking load, unit kPa); upsilon-soil layer poisson ratio; e-horizontal compressive modulus (kPa); b-1/2 of the width (m) of the load.
(2) Determining the depth z of occurrence of the maximum horizontal displacement caused by stacking max . In the step, the vertical displacement influence depth H is firstly calculated, and then the maximum horizontal displacement occurrence depth z is caused according to the stacking max The maximum horizontal displacement occurrence depth z is obtained according to the correlation relation between the vertical displacement and the influence depth H max 。
The vertical displacement influence depth H is determined by a stress control method or a strain control method. The stress control method is a method for taking the depth as the depth influenced by the vertical displacement when the additional stress and the self-weight stress are equal to a certain ratio; the strain control method is a method for taking the depth as the vertical displacement influence depth when the compression amount and the total compression amount of a soil layer with a certain thickness at a certain depth are less than or equal to a certain ratio. In a specific embodiment, when determining the vertical displacement influence depth H of the large-area soil mass loading, the ratio of the additional stress of the large-area loading to the early consolidation of the soil mass should be taken as an index for determining the vertical displacement influence depth H in combination with the conditions of the local soil layer, engineering experience and the like, and when the Shanghai area satisfies the formula (2), the top surface of the layer can be considered as the vertical displacement influence depth:
P 0 /P c <0.2～0.8 (2)
in the formula: p 0 The stress is the added stress of uniform load, namely large-area stacking load, and the added stress is 80kPa in unit of kPa; p c The unit is the early consolidation stress of the natural soil, namely kPa; the ratio should be determined comprehensively by combining the conditions of the local soil layer, engineering experience and the like.
In this example, typical ancient river formations are shown in Table 1, and the lower lying formation early consolidation pressure P c =300kPa, so taking the horizontal layer top down affects depth for vertical displacement: h =50m.
According to local engineering experience, a finite element analysis mode is combined, and a correlation relation between the maximum horizontal displacement occurrence depth and the vertical displacement influence depth caused by stacking is established:
normal stratum (soft clay thickness 25-30 m): z is a radical of max ＝0.5H
Ancient river stratum (soft clay thickness 60-70 m): z is a radical of max ＝0.4H (3)
This example is a soft soil layer z max ＝0.4H＝20m。
Table 1 typical geology in the specific example
(3) And calculating the compression modulus and the Poisson ratio of each depth level according to the in-situ test result. In situ test methods include, but are not limited to, static sounding, standard penetration, lateral compression, flat shovel.
In one embodiment, the in situ test uses static penetration test, for example depth z =15m and z =40m, specific penetration resistance P s The values are respectively: 0.59MPa and 1.23MPa, according to the static sounding specifications in Shanghai, based on P s Estimation of the compressive modulus E s Equation (4) may be employed:
E s ＝2.2p s +1.9 (4)
the compressive modulus at the calculated depths z =15m and z =40m was 3.20MPa and 4.60MPa, the silty and intercalated silty clays at the calculated depths z =15m and z =40m, respectively, and the poisson's ratio was 0.45 and 0.40, respectively.
(4) For z max Multiplying the horizontal compressive modulus of the following soil layer by the depth correction factor ψ = z/z max (ii) a Wherein z is depth. The basis of the correction is as follows: along with the increase of the depth, the deep soil body is laterally restrained by the confining pressure of the soil body, the horizontal displacement increment is obviously reduced, the theoretical solution is infinitely developed along with the horizontal displacement of the depth on the basis of the elastic semi-infinite space hypothesis, and therefore depth correction is needed, and theoretical calculation is consistent with actual calculation. The correction mode is a correction method which is provided by combining statistical data with theoretical analysis after a large number of horizontal displacement development curves are analyzed.
In this example z max Multiplying the horizontal compressive modulus of a soil layer with the thickness of less than 20m by the depth correction coefficient psi = z/z max Therefore, the corrected value of the horizontal compression modulus at the depth z =40m is calculated to be E = ψ E sh ＝2E sh ＝9.2MPa。
(5) The horizontal compression modulus after the depth correction, the soil layer poisson ratio and each known calculation parameter (see table 2) are substituted into the formula (1), so that the horizontal displacement of each point can be calculated, and the calculation result is shown in the following table. The calculation position (x =70 m) is set at a certain distance along the depth direction for calculation, so that a horizontal displacement curve changing along the depth under the action of large-area stacking can be obtained, and compared with the actually-measured deep horizontal displacement curve, as shown in fig. 2, it can be seen that the calculation result is closer to the actually-measured result.
Table 2 calculation parameters and calculation results of horizontal displacement analytical solution under action of uniformly distributed loads
| q(kPa) | υ | z(m) | E(MPa) | x(m) | b(m) | U(m) |
| 80 | 0.45 | 15 | 3.20 | 70 | 200 | -0.11 |
| 80 | 0.40 | 40 | 9.20 | 70 | 200 | -0.04 |
In the process, the soil deformation parameters at the corresponding depth can be estimated according to the measurement result of the single Kong Yuanwei, namely the in-situ test result at the different depths. Or according to the average value of the regional measurement results, namely the in-situ test is distributed in the region at certain intervals, the soil parameters of different stratums are determined, and the deformation parameters (average value) of all soil layers in the region are provided according to the survey report.
As shown in fig. 3, an embodiment of the present invention further includes a system for calculating horizontal displacement caused by large area stacking, which is used to implement the method for calculating horizontal displacement caused by large area stacking, and includes:
the vertical displacement influence depth calculation module is used for determining the vertical displacement influence depth H caused by stacking in a stress control method or a strain control method;
the maximum horizontal displacement occurrence depth calculation module is used for determining the maximum horizontal displacement occurrence depth z caused by stacking loading according to the vertical displacement influence depth H output by the vertical displacement influence depth calculation module and based on the correlation between the maximum horizontal displacement occurrence depth caused by stacking loading and the vertical displacement influence depth max ；
A parameter correction module for calculating the horizontal compression modulus and Poisson ratio of each depth based on in-situ test result and generating depth z for maximum horizontal displacement max Performing parameter correction on the horizontal compression modulus of the lower soil layer in such a way that the maximum horizontal displacement occurrence depth z max Multiplying the horizontal compressive modulus of the following soil layer by the depth correction factor ψ = z/z max Wherein z is depth;
the displacement solving module is used for substituting the corrected horizontal compression modulus and other known calculation parameters into a horizontal displacement analytic solution derived from Bucinesk and caused by large-area stacking load to carry out horizontal displacement solving;
and the drawing module is used for drawing a horizontal displacement curve changing along the depth at any position and/or drawing a horizontal displacement cloud picture under the action of large-area stacking.
The foregoing detailed description of the preferred embodiments of the invention has been presented. It should be understood that numerous modifications and variations could be devised by those skilled in the art in light of the present teachings without departing from the inventive concepts. Therefore, the technical solutions that can be obtained by a person skilled in the art through logical analysis, reasoning or limited experiments based on the prior art according to the concepts of the present invention should be within the scope of protection determined by the claims.
Claims (4)
1. A method for calculating horizontal displacement caused by large-area stacking is characterized by comprising the following steps:
(1) Deducing a horizontal displacement analytical solution caused by large-area stacking according to the Buchneisk solution, wherein the expression is as follows:
wherein, U-horizontal displacement; x is the horizontal distance between the position of the measuring point and the central point of the load; z is the depth of the measured point position; q-uniformly distributing load; upsilon-soil poisson ratio; e-horizontal compression modulus; b-1/2 of the width of the load;
(2) Determining the depth z of occurrence of the maximum horizontal displacement caused by stacking max (ii) a The method specifically comprises the following steps: determining the depth z of occurrence of the maximum horizontal displacement caused by stacking max The process comprises the following steps: calculating the vertical displacement influence depth H; according to the depth z of occurrence of the maximum horizontal displacement caused by stacking max The maximum horizontal displacement occurrence depth z is obtained according to the correlation relation between the vertical displacement and the influence depth H max ；
(3) Calculating the horizontal compressive modulus and Poisson's ratio of each depth according to the in-situ test result;
(4) For z max Multiplying the horizontal compressive modulus of the following soil layer by the depth correction factor ψ = z/z max (ii) a Wherein z is depth;
(5) And substituting the corrected horizontal compression modulus and the known calculation parameters into a horizontal displacement analytical solution which is derived by Buchneisk solution and is caused by large-area stacking, so that the deformation value of any position of the horizontal displacement field can be calculated.
2. The method for calculating the horizontal displacement caused by the large-area stacking according to claim 1, wherein the method comprises the following steps: and the vertical displacement influence depth H is determined by a stress control method or a strain control method.
3. The method for calculating the horizontal displacement caused by the large-area stacking load according to claim 1, wherein the method comprises the following steps: the in-situ test method comprises static sounding, standard penetration, side pressing and flat shoveling.
4. The method for calculating the horizontal displacement caused by the large-area stacking load according to claim 1, wherein the method comprises the following steps: in the step (5), the known calculation parameters comprise a horizontal distance x from a measuring point position to a load central point, a depth z of the measuring point position, a uniformly distributed load q, a soil layer Poisson ratio upsilon, a horizontal compression modulus E and a load acting width b.
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