Method and device for calculating ground surface horizontal deformation of shield tunnel in under-consolidated soft soil

Abstract

The application relates to the technical field of underground engineering, in particular to a calculation method and device for surface horizontal deformation of an underconsolidated soft soil shield tunnel, wherein the method comprises the following steps: determining a maximum value of surface residual horizontal deformation caused by underconsolidated soft soil foundation consolidation, a horizontal position of the maximum value and a surface residual horizontal deformation distribution coefficient according to the underconsolidated soft soil foundation consolidation, and then calculating the surface residual horizontal deformation; calculating surface short-term horizontal deformation caused by shield construction based on the shield construction and stratum loss rate of the shield construction; calculating surface long-term horizontal deformation according to a maximum value of surface long-term horizontal deformation caused by the shield construction and a horizontal position of the maximum value; and calculating surface long-term horizontal deformation of the underconsolidated soft soil shield tunnel by using the surface residual horizontal deformation, the surface short-term and long-term horizontal deformation. Therefore, the problems in the prior art that only tunnel self-settlement and structure deformation are considered, deformation analysis of strata around the tunnel is lacked, and the method cannot be applied to actual engineering are solved.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of underground engineering, and in particular relates to a calculation method and device for surface horizontal deformation of a shield tunnel in an under-consolidated soft soil. BACKGROUND

[0002] With the continuous development of coastal development, there are more and more infrastructure projects in the newly reclaimed areas of coastal cities in China. The ground in these reclaimed areas is in an under-consolidated state due to the limited consolidation time after completion. Shield tunnel construction in under-consolidated soft soil areas involves the combined action of stratum loss caused by shield tunnel excavation and self-weight consolidation of under-consolidated soft soil, resulting in complex and difficult-to-control deformation modes.

[0003] In related technologies, the adverse effects of self-weight consolidation of under-consolidated soft soil on shield tunnel deformation mainly focus on tunnel deformation and stratum settlement. For example, a tunnel settlement function can be determined based on the settlement of an under-consolidated stratum over time, and then used to calculate the convergence deformation of an under-consolidated soft soil shield tunnel structure; or the long-term settlement of the stratum around the tunnel can be solved by considering the effects of consolidation deformation of under-consolidated soft soil and shield tunnel construction disturbance.

[0004] However, in related technologies, only tunnel settlement and structural deformation are considered, and there is a lack of deformation analysis of the stratum around the tunnel. In addition, in actual engineering, the horizontal deformation of the stratum around the shield tunnel caused by the shield tunnel is an important indicator for judging the influence on the surrounding environment. Therefore, it is necessary to determine the calculation method for long-term horizontal deformation of the surface of an under-consolidated soft soil shield tunnel, and to provide a basis for the design of a shield tunnel in an under-consolidated soft soil layer and the safety evaluation of adjacent underground structures. SUMMARY

[0005] The present application provides a calculation method and device for surface horizontal deformation of an under-consolidated soft soil shield tunnel, to solve the problems in related technologies, such as only considering tunnel settlement and structural deformation, lacking deformation analysis of the stratum around the tunnel, and not determining the calculation method for long-term horizontal deformation of the surface of an under-consolidated soft soil shield tunnel, which cannot be applied in actual engineering.

[0006] The first aspect of the present application provides a method for calculating the surface horizontal deformation of an underconsolidated soft soil shield tunnel, comprising the following steps: determining the maximum surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation, the horizontal position of the maximum surface residual horizontal deformation, and the distribution coefficient of the surface residual horizontal deformation based on the underconsolidated soft soil foundation consolidation; calculating the surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation based on the maximum surface residual horizontal deformation, the horizontal position of the maximum surface residual horizontal deformation, and the distribution coefficient of the surface residual horizontal deformation; calculating the short-term surface horizontal deformation caused by the underconsolidated soft soil shield construction based on the shield construction and the stratum loss rate of the shield construction; determining the maximum long-term surface horizontal deformation and the horizontal position of the maximum long-term surface horizontal deformation caused by the underconsolidated soft soil shield construction based on the shield construction, and calculating the long-term surface horizontal deformation caused by the underconsolidated soft soil shield construction by using the maximum long-term surface horizontal deformation and the horizontal position of the maximum long-term surface horizontal deformation; and calculating the long-term surface horizontal deformation of the underconsolidated soft soil shield tunnel by using the surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation, the short-term surface horizontal deformation caused by the underconsolidated soft soil shield construction, and the long-term surface horizontal deformation caused by the underconsolidated soft soil shield construction.

[0007] Optionally, in an embodiment of the present application, the calculation formula of the surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation can be, but is not limited to:

[0008]

[0009] wherein, ΔH c is the surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation; ΔH cmax is the maximum surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation; b is the horizontal position of the maximum surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation; and i is the distribution coefficient of the surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation.

[0010] Optionally, in an embodiment of the present application, the calculation formula of the maximum surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation can be, but is not limited to:

[0011] ΔH cmax =C1ln[C2(1-U0)+1],

[0012] The calculation formula of the horizontal position of the maximum surface residual horizontal deformation caused by the underconsolidated soft soil foundation consolidation can be, but is not limited to:

[0013] b=exp(C3U0+C4)+C5,

[0014] The calculation formula of the distribution coefficient of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation can be, but is not limited to, as follows:

[0015] i = exp[-2.4L(1-U0)+2.4]+20.5,

[0016] wherein C1, C2, C3, C4 and C5 are fitting coefficients in each expression, U0 is the initial consolidation degree of the under-consolidated soft soil foundation, L is the thickness of the newly filled soil on the ground, and wherein

[0017] The calculation formula of C1 can be, but is not limited to, as follows:

[0018] C1 =-3.5L-0.55z+42.57,

[0019] The calculation formula of C2 can be, but is not limited to, as follows:

[0020] C2 =7.3L-0.2z-11.2,

[0021] The calculation formula of C3 can be, but is not limited to, as follows:

[0022] C3 =0.25(z-16.0) 2 +12.2,

[0023] The calculation formula of C4 can be, but is not limited to, as follows:

[0024] C2 =7.3L-0.2z-11.2,

[0025] The calculation formula of C5 can be, but is not limited to, as follows:

[0026] C5 =0.52z+9.0,

[0027] wherein z is the buried depth of the tunnel center to the ground.

[0028] Optionally, in an embodiment of the present application, the calculation formula of the short-term horizontal deformation of the ground surface caused by the under-consolidated soft soil shield construction can be, but is not limited to, as follows:

[0029]

[0030] wherein H s is the short-term deformation of the ground surface caused by the under-consolidated soft soil shield construction, V L is the stratum loss rate of the under-consolidated soft soil shield construction, x is the horizontal distance from the tunnel center, D is the tunnel diameter, and v is the stratum Poisson's ratio.

[0031] Optionally, in an embodiment of the present application, the calculation formula of the long-term horizontal deformation of the ground surface caused by the under-consolidated soft soil shield construction can be, but is not limited to, as follows:

[0032]

[0033] Among them, H c The surface deformation caused by shield tunneling in underconsolidated soft soil is represented by 'a'; 'a' represents the horizontal position where the maximum long-term horizontal deformation caused by shield tunneling in underconsolidated soft soil is located; H cmax This represents the maximum long-term horizontal deformation of the ground surface caused by shield tunneling in underconsolidated soft soil.

[0034] Optionally, in one embodiment of this application, the formula for calculating the long-term horizontal surface deformation of the underconsolidated soft soil shield tunnel may be, but is not limited to, the following:

[0035] H L (x)=H s (x)+H c (x)+ΔH c (x),

[0036] Among them, H L This refers to the long-term horizontal deformation of the surface of a shield tunnel in underconsolidated soft soil.

[0037] A second aspect of this application provides a calculation device for the horizontal surface deformation of a shield tunnel in underconsolidated soft soil, comprising: a first calculation module, used to determine the maximum value of the remaining horizontal surface deformation caused by the consolidation of the underconsolidated soft soil foundation, the horizontal location of the maximum value of the remaining horizontal surface deformation, and the distribution coefficient of the remaining horizontal surface deformation, and to calculate the remaining horizontal surface deformation caused by the consolidation of the underconsolidated soft soil foundation based on the maximum value of the remaining horizontal surface deformation, the horizontal location of the maximum value of the remaining horizontal surface deformation, and the distribution coefficient of the remaining horizontal surface deformation; and a second calculation module, used to calculate the horizontal surface deformation caused by the shield tunneling construction and the ground loss rate during shield tunneling construction. The third calculation module is used to determine the maximum value of the long-term horizontal deformation of the ground surface caused by the shield tunneling construction in the under-consolidated soft soil and the horizontal location of the maximum value of the long-term horizontal deformation of the ground surface, and to calculate the long-term horizontal deformation of the ground surface caused by the shield tunneling construction in the under-consolidated soft soil using the maximum value of the long-term horizontal deformation of the ground surface and the horizontal location of the maximum value of the long-term horizontal deformation of the ground surface; the fourth calculation module is used to calculate the long-term horizontal deformation of the ground surface of the under-consolidated soft soil shield tunnel using the remaining horizontal deformation of the ground surface caused by the consolidation of the under-consolidated soft soil foundation, the short-term horizontal deformation of the ground surface caused by the shield tunneling construction in the under-consolidated soft soil, and the long-term horizontal deformation of the ground surface caused by the shield tunneling construction in the under-consolidated soft soil.

[0038] Optionally, in one embodiment of this application, the formula for calculating the residual horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation may be, but is not limited to, the following:

[0039]

[0040] wherein, AH c is the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation; AH cmax is the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation; b is the horizontal position of the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation; and i is the distribution coefficient of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation.

[0041] Optionally, in an embodiment of the present application, the calculation formula of the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation can be, but is not limited to, as follows:

[0042] AH cmax = C1ln[C2(1-U0)+1],

[0043] The calculation formula of the horizontal position of the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation can be, but is not limited to, as follows:

[0044] b = exp(C3U0+C4)+C5,

[0045] The calculation formula of the distribution coefficient of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation can be, but is not limited to, as follows:

[0046] i = exp[-2.4L(1-U0)+2.4]+20.5,

[0047] wherein, C1, C2, C3, C4, and C5 are fitting coefficients in the respective expressions, U0 is the initial consolidation degree of the under-consolidated soft soil foundation, L is the thickness of the newly filled soil on the ground, and wherein,

[0048] The calculation formula of C1 can be, but is not limited to, as follows:

[0049] C1 = -3.5L-0.55z+42.57,

[0050] The calculation formula of C2 can be, but is not limited to, as follows:

[0051] C2 = 7.3L-0.2z-11.2,

[0052] The calculation formula of C3 can be, but is not limited to, as follows:

[0053] C3 = 0.25(z-16.0) 2 +12.2,

[0054] The calculation formula of C4 can be, but is not limited to, as follows:

[0055] C2 = 7.3L-0.2z-11.2,

[0056] The calculation formula of C5 can be but is not limited to:

[0057] C5 = 0.52z + 9.0,

[0058] wherein z is the depth of the tunnel center to the ground surface.

[0059] Optionally, in an embodiment of the present application, the calculation formula of the short-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil can be but is not limited to:

[0060]

[0061] wherein H s is the short-term deformation of the ground surface caused by the shield construction of the under-consolidated soft soil; V L is the stratum loss rate of the shield construction of the under-consolidated soft soil; x is the horizontal distance from the tunnel center; D is the tunnel diameter; and v is the Poisson's ratio of the stratum.

[0062] Optionally, in an embodiment of the present application, the calculation formula of the long-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil can be but is not limited to:

[0063]

[0064] wherein H c is the long-term deformation of the ground surface caused by the shield construction of the under-consolidated soft soil; a is the horizontal position where the maximum value of the long-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil is located; H cmax is the maximum value of the long-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil.

[0065] Optionally, in an embodiment of the present application, the calculation formula of the long-term horizontal deformation of the ground surface of the shield tunnel of the under-consolidated soft soil can be but is not limited to:

[0066] H L (x) = H s (x) + H c (x) + ΔH c (x),

[0067] wherein H L is the long-term horizontal deformation of the ground surface of the shield tunnel of the under-consolidated soft soil.

[0068] The third aspect embodiment of the present application provides an electronic device, which comprises a memory, a processor, and a computer program stored in the memory and capable of running on the processor, and the processor executes the program to realize the calculation method of the horizontal deformation of the ground surface of the shield tunnel of the under-consolidated soft soil as described in the above embodiments.

[0069] The fourth aspect of the present application provides a computer readable storage medium, which stores a computer program, and the program is executed by a processor to implement the method for calculating the surface horizontal deformation of the shield tunnel in the soft soil.

[0070] The fifth aspect of the present application provides a computer program product, which comprises a computer program, and the program is executed to implement the method for calculating the surface horizontal deformation of the shield tunnel in the soft soil.

[0071] The embodiments of the present application can divide the long-term surface horizontal deformation of the shield tunnel in the soft soil into three parts, the surface residual horizontal deformation caused by the consolidation of the soft soil foundation, the short-term surface horizontal deformation caused by the construction of the soft soil shield, and the long-term surface horizontal deformation caused by the construction of the soft soil shield, gradually obtain the horizontal deformation of each part, comprehensively consider the joint action of the shield construction disturbance and the consolidation of the soft soil foundation, and can predict the long-term surface horizontal deformation after the shield construction in the soft soil, thereby providing a basis for the design of the shield tunnel in the soft soil, and the method has the advantages of simple operation, strong practicability, and great application value.

[0072] The additional aspects and advantages of the present application will be partially given in the following description, partially become obvious from the following description, or be understood by the practice of the present application. BRIEF DESCRIPTION OF DRAWINGS

[0073] The above and / or additional aspects and advantages of the present application will become apparent and be readily understood from the following description, taken in conjunction with the accompanying drawings, in which:

[0074] Figure 1 FIG. 1 is a flowchart of a method for calculating the surface horizontal deformation of the shield tunnel in the soft soil according to an embodiment of the present application;

[0075] Figure 2 FIG. 4 is a block schematic diagram of the calculation of the cross section of the shield tunnel in the soft soil according to an embodiment of the present application;

[0076] Figure 3 FIG. 6 is a block schematic diagram of the prediction curve of the surface residual horizontal deformation caused by the consolidation of the soft soil foundation according to an embodiment of the present application;

[0077] Figure 4 FIG. 8 is a block schematic diagram of the stratum loss caused by the shield construction according to an embodiment of the present application;

[0078] Figure 5A block diagram of long-term horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel according to an embodiment of the present application is provided;

[0079] Figure 6 A comparison diagram of long-term horizontal deformation of the ground surface according to an embodiment of the present application is provided;

[0080] Figure 7 A flowchart of the working principle of a calculation method of horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel according to an embodiment of the present application is provided;

[0081] Figure 8 A block diagram of a calculation device of horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel according to an embodiment of the present application is provided;

[0082] Figure 9 A structural diagram of an electronic device according to an embodiment of the present application is provided. DETAILED DESCRIPTION

[0083] Embodiments of the present application are described in detail below with reference to the accompanying drawings, in which the same or similar notations used throughout the drawings denote the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are intended to explain the present application, and cannot be understood as limiting the present application.

[0084] A calculation method and device of horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel according to an embodiment of the present application are described below with reference to the accompanying drawings. In view of the problem that in the background art, only tunnel self-settlement and structural deformation are considered, deformation of the surrounding strata of the tunnel is not analyzed, and the calculation method of long-term horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel is not clear, which cannot be applied in actual engineering, the present application provides a calculation method of horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel. In the method, the long-term horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel can be divided into three parts: residual horizontal deformation of the ground surface caused by consolidation of the under-consolidated soft soil foundation, short-term horizontal deformation of the ground surface caused by under-consolidated soft soil shield construction, and long-term horizontal deformation of the ground surface caused by under-consolidated soft soil shield construction. Each part of the horizontal deformation is gradually obtained, the combined action of shield construction disturbance and under-consolidated soft soil foundation consolidation is considered, and the long-term horizontal deformation of the ground surface after shield construction in under-consolidated soft soil can be predicted, thereby providing a basis for the design of an under-consolidated soft soil shield tunnel. The method is simple to operate, practical, and has great application value. Thus, the problems in the related art, such as only considering tunnel self-settlement and structural deformation, lacking deformation analysis of the surrounding strata of the tunnel, not having a clear calculation method of long-term horizontal deformation of the ground surface of an under-consolidated soft soil shield tunnel, and being unable to be applied in actual engineering, are solved.

[0085] Specifically, Figure 1A flow chart of a calculation method of surface horizontal deformation of a shield tunnel in an under-consolidated soft soil according to an embodiment of the present application.

[0086] As shown in the figure, the calculation method of surface horizontal deformation of the shield tunnel in the under-consolidated soft soil includes the following steps: Figure 1

[0087] In step S101, the maximum value of surface residual horizontal deformation caused by under-consolidated soft soil foundation consolidation, the horizontal position of the maximum value of surface residual horizontal deformation, and the distribution coefficient of surface residual horizontal deformation are determined according to the under-consolidated soft soil foundation consolidation, and the maximum value of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation is calculated based on the maximum value of surface residual horizontal deformation, the horizontal position of the maximum value of surface residual horizontal deformation, and the distribution coefficient of surface residual horizontal deformation. The calculation formula of the maximum value of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation can be but is not limited to:

[0088]

[0089] wherein ΔH c is the surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation; ΔH cmax is the maximum value of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation; b is the horizontal position of the maximum value of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation; and i is the distribution coefficient of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation.

[0090] The calculation formula of the maximum value of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation can be but is not limited to:

[0091] ΔH cmax =C1ln[C2(1-U0)+1],

[0092] The calculation formula of the horizontal position of the maximum value of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation can be but is not limited to:

[0093] b=exp(C3U0+C4)+C5,

[0094] The calculation formula of the distribution coefficient of surface residual horizontal deformation caused by the under-consolidated soft soil foundation consolidation can be but is not limited to:

[0095] i=exp[-2.4L(1-U0)+2.4]+20.5,

[0096] wherein C1, C2, C3, C4, and C5 are fitting coefficients in each expression, U0 is the initial consolidation degree of the under-consolidated soft soil foundation, and L is the thickness of the newly filled soil on the surface.

[0097] The calculation formula of C1 can be but is not limited to:​

[0098] C1 = -3.5L - 0.55z + 42.57,

[0099] The calculation formula of C2 can be, but is not limited to, as follows:

[0100] C2 = 7.3L - 0.2z - 11.2,

[0101] The calculation formula of C3 can be, but is not limited to, as follows:

[0102] C3 = 0.25(z - 16.0) 2 + 12.2,

[0103] The calculation formula of C4 can be, but is not limited to, as follows:

[0104] C2 = 7.3L - 0.2z - 11.2,

[0105] The calculation formula of C5 can be, but is not limited to, as follows:

[0106] C5 = 0.52z + 9.0,

[0107] wherein z is the depth of the center of the tunnel to the ground surface.

[0108] In some embodiments, the embodiments of the present application can determine the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation, the horizontal position of the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation, and the distribution coefficient of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation according to the initial consolidation degree of the under-consolidated soft soil foundation, and then calculate the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation.

[0109] wherein in the embodiments of the present application, the calculation formula of the surface residual horizontal deformation ΔH c caused by the consolidation of the under-consolidated soft soil foundation can be, but is not limited to, expressed as:

[0110]

[0111] wherein ΔH c is the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation; ΔH cmax is the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation; b is the horizontal position of the maximum value of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation; and i is the distribution coefficient of the surface residual horizontal deformation caused by the consolidation of the under-consolidated soft soil foundation.

[0112] Further, in the embodiments of the present application, the calculation formula of the maximum value of the surface residual horizontal deformation ΔH cmax caused by the consolidation of the under-consolidated soft soil foundation can be, but is not limited to, expressed as:

[0113] ΔH cmax = C1ln[C2(1-U0)+1],

[0114] Further, in the embodiments of the present application, the formula for calculating the horizontal position b of the maximum value of the surface residual horizontal deformation caused by the consolidation of the soft soil subsoil can be but not limited to expressed as:

[0115] b = exp(C3U0+C4)+C5,

[0116] Further, in the embodiments of the present application, the formula for calculating the distribution coefficient i of the surface residual horizontal deformation caused by the consolidation of the soft soil subsoil can be but not limited to expressed as:

[0117] i = exp[-2.4L(1-U0)+2.4]+20.5,

[0118] wherein C1, C2, C3, C4, C5 are the fitting coefficients in each expression; U0 is the initial degree of consolidation of the soft soil subsoil; L is the thickness of the newly filled soil on the surface.

[0119] wherein in the embodiments of the present application, the formula for calculating C1, C2, C3, C4, C5 can be but not limited to expressed as:

[0120] C1 = -3.5L-0.55z+42.57,

[0121] C2 = 7.3L-0.2z-11.2,

[0122] C3 = 0.25(z-16.0) 2 +12.2,

[0123] C4 = 0.23(z-15.8) 2 +9.8,

[0124] C5 = 0.52z+9.0,

[0125] For example, the embodiments of the present application provide a schematic diagram of the calculation section of the soft soil shield tunnel, as shown in Figure 2 wherein the embodiments of the present application select a certain typical tunnel section, the thickness of the newly filled soil on the surface in the section is 3m, the thickness of the underlying soft soil layer is 30m, and the initial degree of consolidation of the soft soil subsoil is 80%. The diameter of the shield tunnel constructed in the stratum is 6m, the depth along the central axis of the tunnel is 18m, and the depth from the central axis of the tunnel to the bottom of the filled soil is 15m.

[0126] At this time, in the embodiments of the present application, when the surface residual horizontal deformation ΔH c caused by the consolidation of the soft soil subsoil is 0.5m, the fitting coefficients in each expression can be taken as:

[0127] C1=-3.5L-0.55z+42.57=-3.5×3-0.55×18+42.57=22.17,

[0128] C2=7.3L-0.2z-11.2=7.3×3-0.2×18-11.2=7.1,

[0129] C3 = 0.25(z - 16.0) 2 +12.2 = 0.25 × (18 - 16.0) 2 +12.2 = 13.2,

[0130] C4 = 0.23(z - 15.8) 2 +9.8 = 0.23 × (18 - 15.8) 2 +9.8 = 10.9

[0131] C5=0.52z+9.0=0.52×18+9.0=18.36,

[0132] Furthermore, in the embodiments of this application, the maximum value of the residual horizontal deformation ΔH caused by the consolidation of the underconsolidated soft soil foundation is... cmax It can be expressed as, but is not limited to:

[0133] ΔH cmax =C1ln[C2(1-U0)+1]=22.17×ln[7.1×(1-0.8)+1]=19.59mm,

[0134] The horizontal location b, where the maximum residual horizontal deformation of the ground surface caused by the consolidation of underconsolidated soft soil foundation is located, can be represented, but is not limited to, as:

[0135] b=exp(C3U0+C4)+C5=exp(13.2×0.8+10.91)+18.36=19.06m,

[0136] The distribution coefficient i of the residual horizontal deformation of the ground surface caused by the consolidation of underconsolidated soft soil foundation can be expressed, but is not limited to, as:

[0137] i=exp[-2.4L(1-U0)+2.4]+20.5=exp[-2.4×3×(1-0.8)+2.4]+20.5=23.11,

[0138] The residual horizontal deformation of the ground surface caused by the consolidation of underconsolidated soft soil foundations can be expressed, but is not limited to, as:

[0139]

[0140] Furthermore, such as Figure 3 As shown, the embodiments of this applicationFigure 3 The illustration shows the residual horizontal deformation curve morphology of the surface caused by the consolidation of underconsolidated soft soil foundations. Specifically, the residual horizontal deformation ΔH of the surface caused by the consolidation of underconsolidated soft soil foundations in the embodiments of this application is shown. c The calculation formula is shown above and will not be elaborated further here.

[0141] In step S102, based on the shield tunneling construction and the ground loss rate during shield tunneling, the short-term horizontal deformation of the ground surface caused by the shield tunneling in underconsolidated soft soil is calculated. The formula for calculating the short-term horizontal deformation of the ground surface caused by the shield tunneling in underconsolidated soft soil is as follows:

[0142]

[0143] Among them, H s This refers to the short-term surface deformation caused by shield tunneling in underconsolidated soft soil; V L denoted as , where is the ground loss rate during shield tunneling in underconsolidated soft soil; x is the horizontal distance from the tunnel center; D is the tunnel diameter; and v is the Poisson's ratio of the soil layer.

[0144] It is understood that the short-term horizontal deformation of the ground surface caused by shield tunneling in underconsolidated soft soil can be understood as the horizontal deformation of the ground surface caused by shield tunneling from the start to the end of the shield tunneling construction. The specific settings can be made by those skilled in the art according to the actual situation, and this application does not impose specific limitations.

[0145] As one possible approach, embodiments of this application can treat underconsolidated soft soil strata as normally consolidated, and determine the stratum loss rate V during shield tunneling. L Calculate the short-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil. s .

[0146] In this embodiment of the application, the short-term horizontal deformation H of the ground surface caused by shield tunneling in underconsolidated soft soil is... s The calculation formula can be expressed, but is not limited to, as follows:

[0147]

[0148] Among them, H s This refers to the short-term surface deformation caused by shield tunneling in underconsolidated soft soil; V L denoted as , where is the ground loss rate during shield tunneling in underconsolidated soft soil; x is the horizontal distance from the tunnel center; z is the depth from the tunnel center to the ground surface; D is the tunnel diameter; and v is the Poisson's ratio of the soil layer.

[0149] For example, embodiments of this application in such a way... Figure 2 The calculation of the short-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil in a typical tunnel cross-section is shown. sWhen, the formation Poisson's ratio v can be taken as 0.45, and the shield construction formation loss rate V L is 2%, at this time, the short-term horizontal deformation H of the soft soil caused by the shield construction in the embodiment of the application s may be but is not limited to expressed as:

[0150]

[0151] In addition, it should be noted that the shield construction formation loss rate V L in the embodiment of the application can be taken as the actual value when there is a measured value; and when there is no measured value, the calculation formula can be but is not limited to expressed as:

[0152]

[0153] wherein g is the undrained formation loss gap thickness parameter, and the calculation formula can be but is not limited to expressed as:

[0154]

[0155] wherein G p is the formation loss theoretical gap, i.e., the geometric distance between the shield shell periphery and the tunnel segment, is the over-excavation pore thickness caused by the soil in front of the excavation face entering the excavation face due to the release of the excavation face load; and ω is a factor considering the influence of construction conditions and operation technology, and the value range can be 0≤ω≤0.6G p .

[0156] Further, in the embodiment of the application, the formation loss theoretical gap G p can be but is not limited to expressed as:

[0157] G p = 2Δ + δ,

[0158] wherein Δ is the shield shell tail thickness; and δ is the gap thickness required for installing the lining.

[0159] For example, the embodiment of the application Figure 4 demonstrates the shield construction formation loss, which is Figure 4 known as the gap area between the actual excavation face and the tunnel lining. Specifically, in the embodiment of the application, the undrained formation loss gap thickness parameter g can be but is not limited to include the geometric distance G p between the shield shell periphery and the tunnel segment, the over-excavation pore thickness ω considering the influence of construction conditions and operation technology.

[0160] In step S103, based on the shield construction, the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation and the horizontal position of the maximum value of the long-term horizontal surface deformation are determined, and the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation is calculated by using the maximum value of the long-term horizontal surface deformation and the horizontal position of the maximum value of the long-term horizontal surface deformation. The calculation formula of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation is:

[0161]

[0162] wherein H c is the long-term surface deformation caused by the shield construction of the soft soil with insufficient consolidation; a is the horizontal position of the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation; H cmax is the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation.

[0163] In some embodiments, the embodiments of the present application can regard the soft soil with insufficient consolidation as normal consolidation, determine the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation and the horizontal position of the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation, and then calculate the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation. The long-term horizontal surface deformation can be understood as the horizontal surface deformation caused within the dissipation time of the excess pore water pressure caused by the shield tunnel construction, which can be set by the person skilled in the art according to the actual situation, and the present application does not make specific limitations.

[0164] In the embodiments of the present application, the calculation formula of the long-term horizontal surface deformation H c caused by the shield construction of the soft soil with insufficient consolidation can be but is not limited to expressed as:

[0165]

[0166] wherein H c is the long-term surface deformation caused by the shield construction of the soft soil with insufficient consolidation; a is the horizontal position of the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation; H cmax is the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation.

[0167] Further, in the embodiments of the present application, the calculation formula of the horizontal position a of the maximum value of the long-term horizontal surface deformation caused by the shield construction of the soft soil with insufficient consolidation can be but is not limited to expressed as:

[0168] a=k1z,

[0169] wherein k1 is 1.41.

[0170] Further, in the embodiment of the present application, the calculation formula of the maximum value H of the long-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil can be but is not limited to expressed as: cmax

[0171]

[0172] wherein, L c is the buried depth of the tunnel central axis to the backfill bottom surface; γ w is the specific weight of water; E' d is the secant modulus of the soil corresponding to the axial strain of 0.15% in the drained triaxial test; NH cmax is the dimensionless parameter of the consolidated horizontal deformation, and the calculation formula thereof can be but is not limited to:

[0173] NH cmax =k2 ln(k3V L +1),

[0174] wherein, k2 is 0.0032, and k3 is 255.

[0175] For example, in the calculation of the long-term horizontal deformation H c of the ground surface caused by the shield construction of the under-consolidated soft soil, the specific weight γ w of water can be 10 kN / m 3 , the secant modulus E' d of the soil corresponding to the axial strain of 0.15% in the drained triaxial test can be 3.9 MPa, and the dimensionless parameter NH cmax of the consolidated horizontal deformation can be:NH cmax =k2 ln(k3V L +1) = 0.0032 x ln(255 x 0.02 + 1) = 0.00579.

[0176] At this time, in the embodiment of the present application, the horizontal position a of the maximum value of the long-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil can be but is not limited to expressed as:

[0177] a=k1z=1.41 x 18 m=25.35 m,

[0178] The maximum value H cmax of the long-term horizontal deformation of the ground surface caused by the shield construction of the under-consolidated soft soil can be but is not limited to expressed as:

[0179]

[0180] The long-term horizontal deformation H c of the ground surface caused by the shield construction of the under-consolidated soft soil can be but is not limited to expressed as:

[0181]

[0182] In step S104, the long-term horizontal deformation of the under-consolidated soft soil shield tunnel is calculated using the residual horizontal deformation of the surface caused by the consolidation of the under-consolidated soft soil foundation, the short-term horizontal deformation of the surface caused by the shield tunneling of the under-consolidated soft soil, and the long-term horizontal deformation of the surface caused by the shield tunneling of the under-consolidated soft soil. The formula for calculating the long-term horizontal deformation of the surface of the under-consolidated soft soil shield tunnel can be, but is not limited to, the following:

[0183] H L (x)=H s (x)+H c (x)+ΔH c (x),

[0184] Among them, H L This refers to the long-term horizontal deformation of the surface of a shield tunnel in underconsolidated soft soil.

[0185] In some embodiments, this application considers the long-term horizontal deformation of the surface of an underconsolidated soft soil shield tunnel as the short-term horizontal deformation H caused by the construction of the underconsolidated soft soil shield tunnel. s Long-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil c Residual horizontal deformation ΔH on the ground surface caused by consolidation of underconsolidated soft soil foundation c The sum of the three parts is used to calculate the long-term horizontal surface deformation of the underconsolidated soft soil shield tunnel.

[0186] In this embodiment of the application, the long-term horizontal surface deformation H of the underconsolidated soft soil shield tunnel is... L The calculation formula can be expressed, but is not limited to, as follows:

[0187] H L (x)=H s (x)+H c (x)+ΔH c (x),

[0188] Among them, H L This refers to the long-term horizontal deformation of the surface of a shield tunnel in underconsolidated soft soil.

[0189] For example, embodiments of this application can be based on the short-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil calculated above. s Long-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil c Residual horizontal deformation ΔH on the ground surface caused by consolidation of underconsolidated soft soil foundation c Calculate the long-term horizontal surface deformation H of a shield tunnel in underconsolidated soft soil. L It can be, but is not limited to, expressed as:

[0190]

[0191] Further, as Figure 5 illustrated, the embodiment of the present application provides a schematic diagram of the long-term horizontal deformation curve of the surface of the soft soil shield tunnel and the component parts, and it can be known from the diagram that the long-term horizontal deformation of the surface of the soft soil shield tunnel is composed of three parts: the residual horizontal deformation of the surface caused by the consolidation of the soft soil foundation Figure 5 c ; the short-term horizontal deformation of the surface caused by the construction of the soft soil shield tunnel s ; and the long-term horizontal deformation of the surface caused by the construction of the soft soil shield tunnel c .

[0192] In addition, the embodiment of the present application also provides a comparison diagram of the long-term horizontal deformation of the surface obtained by the numerical simulation of the cross section of the soft soil shield tunnel and the long-term horizontal deformation of the surface of the soft soil shield tunnel obtained by the embodiment of the present application, and specifically, as Figure 6 illustrated, it can be known from the diagram that the long-term horizontal deformation curve obtained by the embodiment of the present application is basically consistent with the long-term horizontal deformation result obtained by the numerical simulation.

[0193] The working principle of the calculation method of the long-term horizontal deformation of the surface of the soft soil shield tunnel proposed by the embodiment of the present application will be described in detail in combination with an embodiment.

[0194] Among them, Figure 7 is the flow chart of the working principle of the calculation method of the long-term horizontal deformation of the surface of the soft soil shield tunnel provided according to the embodiment of the present application.

[0195] Step S701: calculating the residual horizontal deformation of the surface caused by the consolidation of the soft soil foundation.

[0196] Step S702: calculating the short-term horizontal deformation of the surface caused by the construction of the soft soil shield tunnel.

[0197] Step S703: calculating the long-term horizontal deformation of the surface caused by the construction of the soft soil shield tunnel.

[0198] Step S704: calculating the long-term horizontal deformation of the surface of the soft soil shield tunnel.

[0199] ​In other words, the embodiments of this application can determine the maximum value of the remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation, the horizontal position of the maximum value of the remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation, and the distribution coefficient of the remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation based on the initial consolidation degree of the underconsolidated soft soil foundation. The remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation is calculated. The underconsolidated soft soil strata are regarded as normally consolidated. The stratum loss rate of the shield tunneling is determined. The short-term and long-term horizontal deformation of the surface caused by the shield tunneling of underconsolidated soft soil is calculated. The long-term horizontal deformation of the surface of the underconsolidated soft soil shield tunnel is regarded as the sum of the remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation, the short-term horizontal deformation of the surface caused by the shield tunneling of underconsolidated soft soil, and the long-term horizontal deformation of the surface caused by the shield tunneling of underconsolidated soft soil. Finally, the long-term horizontal deformation of the surface of the underconsolidated soft soil shield tunnel is calculated.

[0200] In this application, an embodiment provides a schematic diagram of the calculated cross-section of a shield tunnel in underconsolidated soft soil, such as... Figure 2 As shown, in this embodiment of the application, a typical tunnel cross-section is selected. In this cross-section, the thickness of the recently filled soil on the surface is 3m, the thickness of the underlying soft soil layer is 30m, and the initial consolidation degree of the underconsolidated soft soil foundation is 80%. The diameter of the shield tunnel constructed in the stratum is 6m, the burial depth along the tunnel's central axis is 18m, and the burial depth from the tunnel's central axis to the bottom of the fill is 15m.

[0201] Furthermore, embodiments of this application provide the morphology of the residual horizontal deformation curve of the ground surface caused by the consolidation of underconsolidated soft soil foundations, such as... Figure 3 As shown, specifically, in the embodiments of this application, the residual horizontal deformation ΔH of the ground surface caused by the consolidation of the underconsolidated soft soil foundation is... c The calculation formula is shown above and will not be elaborated further here.

[0202] Based on such Figure 2 The example shown is a typical tunnel cross-section. This application's embodiment calculates the short-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil. s When the formation Poisson's ratio ν is taken as 0.45, the formation loss rate V during shield tunneling can be determined. L For 2%, thus providing Figure 4 The diagram shows the ground loss during shield tunneling.

[0203] Furthermore, the embodiments of this application are based on the residual horizontal deformation ΔH of the ground surface caused by the consolidation of the underconsolidated soft soil foundation. c Short-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil s Long-term horizontal surface deformation H caused by shield tunneling in underconsolidated soft soil c As obtained Figure 5 The diagram shows the long-term horizontal deformation curve and components of a shield tunnel in underconsolidated soft soil.

[0204] Further, the application embodiment also provides a comparison chart of the long-term horizontal deformation of the surface obtained by the numerical simulation of the cross section of the soft soil shield tunnel and the long-term horizontal deformation of the surface of the soft soil shield tunnel obtained by the application embodiment, specifically, as shown in Figure 6 the figure, it can be known from the figure that the long-term horizontal deformation curve obtained by the application embodiment is basically consistent with the long-term horizontal deformation result of the numerical simulation.

[0205] According to the calculation method of the long-term horizontal deformation of the surface of the soft soil shield tunnel provided by the application embodiment, the long-term horizontal deformation of the surface of the soft soil shield tunnel can be divided into three parts, the surface residual horizontal deformation caused by the consolidation of the soft soil foundation, the short-term horizontal deformation of the surface caused by the construction of the soft soil shield tunnel and the long-term horizontal deformation of the surface caused by the construction of the soft soil shield tunnel, each part of the horizontal deformation is gradually obtained, the joint action of the shield construction disturbance and the consolidation of the soft soil foundation is comprehensively considered, the long-term horizontal deformation of the surface after the shield construction in the soft soil can be predicted, thereby providing a basis for the design of the soft soil shield tunnel, the operation is simple, the practicality is strong, and the application value is great. Therefore, the problems in the related art are solved, such as only aiming at the settlement and structural deformation of the tunnel itself, lacking the deformation analysis of the surrounding stratum of the tunnel, lacking the calculation method of the long-term horizontal deformation of the surface of the soft soil shield tunnel, and being unable to be applied in the actual engineering.

[0206] Secondly, the calculation device of the long-term horizontal deformation of the surface of the soft soil shield tunnel according to the application embodiment is described with reference to the accompanying drawings.

[0207] Figure 8 The block schematic diagram of the calculation device of the long-term horizontal deformation of the surface of the soft soil shield tunnel according to the application embodiment is provided.

[0208] As shown in Figure 8 the calculation device 10 of the long-term horizontal deformation of the surface of the soft soil shield tunnel includes a first calculation module 100, a second calculation module 200, a third calculation module 300 and a fourth calculation module 400.

[0209] The first calculation module 100 is configured to determine the maximum value of the surface residual horizontal deformation caused by the consolidation of the soft soil foundation, the horizontal position of the maximum value of the surface residual horizontal deformation and the distribution coefficient of the surface residual horizontal deformation according to the consolidation of the soft soil foundation, and calculate the surface residual horizontal deformation caused by the consolidation of the soft soil foundation based on the maximum value of the surface residual horizontal deformation, the horizontal position of the maximum value of the surface residual horizontal deformation and the distribution coefficient of the surface residual horizontal deformation.

[0210] The second calculation module 200 is configured to calculate the short-term horizontal surface deformation caused by the shield construction of the soft soil based on the shield construction and the stratum loss rate of the shield construction.

[0211] The third calculation module 300 is configured to determine the maximum long-term horizontal surface deformation and the horizontal position of the maximum long-term horizontal surface deformation caused by the shield construction of the soft soil based on the shield construction, and calculate the long-term horizontal surface deformation caused by the shield construction of the soft soil by using the maximum long-term horizontal surface deformation and the horizontal position of the maximum long-term horizontal surface deformation.

[0212] The fourth calculation module 400 is configured to calculate the long-term horizontal surface deformation of the shield tunnel of the soft soil by using the residual horizontal surface deformation caused by the consolidation of the soft soil foundation, the short-term horizontal surface deformation caused by the shield construction of the soft soil, and the long-term horizontal surface deformation caused by the shield construction of the soft soil. Optionally, in an embodiment of the present application, the calculation formula of the residual horizontal surface deformation can be but is not limited to:

[0213]

[0214] wherein, ΔH c is the residual horizontal surface deformation caused by the consolidation of the soft soil foundation; ΔH cmax is the maximum residual horizontal surface deformation caused by the consolidation of the soft soil foundation; b is the horizontal position of the maximum residual horizontal surface deformation caused by the consolidation of the soft soil foundation; and i is the distribution coefficient of the residual horizontal surface deformation caused by the consolidation of the soft soil foundation.

[0215] Optionally, in an embodiment of the present application, the calculation formula of the maximum residual horizontal surface deformation caused by the consolidation of the soft soil foundation can be but is not limited to:

[0216] ΔH cmax =C1ln[C2(1-U0)+1],

[0217] The calculation formula of the horizontal position of the maximum residual horizontal surface deformation caused by the consolidation of the soft soil foundation can be but is not limited to:

[0218] b=exp(C3U0+C4)+C5,

[0219] The calculation formula of the distribution coefficient of the residual horizontal surface deformation caused by the consolidation of the soft soil foundation can be but is not limited to:

[0220] i=exp[-2.4L(1-U0)+2.4]+20.5,

[0221] Wherein, C1, C2, C3, C4, C5 are fitting coefficients in each expression, U0 is the initial consolidation degree of the under-consolidated soft soil foundation; L is the thickness of the newly filled soil on the ground; wherein,

[0222] The calculation formula of C1 can be but is not limited to:

[0223] C1 = -3.5L - 0.55z + 42.57,

[0224] The calculation formula of C2 can be but is not limited to:

[0225] C2 = 7.3L - 0.2z - 11.2,

[0226] The calculation formula of C3 can be but is not limited to:

[0227] C3 = 0.25(z - 16.0) 2 + 12.2,

[0228] The calculation formula of C4 can be but is not limited to:

[0229] C2 = 7.3L - 0.2z - 11.2,

[0230] The calculation formula of C5 can be but is not limited to:

[0231] C5 = 0.52z + 9.0,

[0232] Wherein, z is the buried depth of the tunnel center to the ground surface.

[0233] Optionally, in an embodiment of the present application, the calculation formula of the short-term horizontal deformation of the ground surface caused by the under-consolidated soft soil shield construction can be but is not limited to:

[0234]

[0235] Wherein, H s is the short-term deformation of the ground surface caused by the under-consolidated soft soil shield construction; V L is the stratum loss rate of the under-consolidated soft soil shield construction; x is the horizontal distance from the tunnel center; D is the tunnel diameter; v is the stratum Poisson's ratio.

[0236] Optionally, in an embodiment of the present application, the calculation formula of the long-term horizontal deformation of the ground surface caused by the under-consolidated soft soil shield construction can be but is not limited to:

[0237]

[0238] Wherein, H c is the long-term deformation of the ground surface caused by the under-consolidated soft soil shield construction; a is the horizontal position where the maximum value of the long-term horizontal deformation of the ground surface caused by the under-consolidated soft soil shield construction is located; H cmaxThe maximum value of long-term horizontal deformation of the surface of the shield tunnel in the soft soil.

[0239] Optionally, in an embodiment of the present application, the calculation formula of the long-term horizontal deformation of the surface of the shield tunnel in the soft soil can be, but is not limited to, as follows:

[0240] H L (x)=H s (x)+H c (x)+ΔH c (x),

[0241] Wherein, H L is the long-term horizontal deformation of the surface of the shield tunnel in the soft soil.

[0242] It should be noted that the aforementioned explanation of the calculation method of the horizontal deformation of the surface of the shield tunnel in the soft soil also applies to the calculation device of the horizontal deformation of the surface of the shield tunnel in the soft soil, which will not be described here.

[0243] The calculation device of the horizontal deformation of the surface of the shield tunnel in the soft soil according to the embodiment of the present application can divide the long-term horizontal deformation of the surface of the shield tunnel in the soft soil into three parts, i.e., the residual horizontal deformation of the surface caused by the consolidation of the soft soil foundation, the short-term horizontal deformation of the surface caused by the shield construction in the soft soil, and the long-term horizontal deformation of the surface caused by the shield construction in the soft soil, and gradually obtains the horizontal deformation of each part, comprehensively considers the joint action of the shield construction disturbance and the consolidation of the soft soil foundation, and can predict the long-term horizontal deformation of the surface after the shield construction in the soft soil, thereby providing a basis for the design of the shield tunnel in the soft soil, and having the advantages of simple operation, strong practicability, and great application value.

[0244] Figure 9 The structure of the electronic device according to the embodiment of the present application is shown in the figure. The electronic device can include:

[0245] The memory 901, the processor 902, and the computer program stored in the memory 901 and executable on the processor 902.

[0246] The processor 902 implements the calculation method of the horizontal deformation of the surface of the shield tunnel in the soft soil provided in the above embodiment when executing the program.

[0247] Further, the electronic device further includes:

[0248] The communication interface 903 is used for communication between the memory 901 and the processor 902.

[0249] a memory 901 for storing a computer program capable of running on the processor 902.

[0250] The memory 901 can include a high-speed RAM memory, and can also include a non-volatile memory, for example, at least one disk memory.

[0251] If the memory 901, the processor 902 and the communication interface 903 are implemented independently, the communication interface 903, the memory 901 and the processor 902 can be connected to each other through a bus and complete communication between each other. The bus can be an Industry Standard Architecture (ISA) bus, a Peripheral Component Interconnect (PCI) bus or an Extended Industry Standard Architecture (EISA) bus, etc. The bus can be divided into an address bus, a data bus, a control bus, etc. For convenience of representation, Figure 9 In the figure, only one thick line is used to represent, but it does not mean that there is only one bus or one type of bus.

[0252] Optionally, in a specific implementation, if the memory 901, the processor 902 and the communication interface 903 are integrated on a chip, the memory 901, the processor 902 and the communication interface 903 can complete communication between each other through an internal interface.

[0253] The processor 902 can be a central processing unit (CPU), or an application specific integrated circuit (ASIC), or one or more integrated circuits configured to implement the embodiments of the present application.

[0254] The embodiments of the present application also provide a computer readable storage medium, having stored thereon a computer program, which, when executed by a processor, implements the above method for calculating horizontal deformation of a ground surface of a shield tunnel in soft soil.

[0255] The embodiments of the present application also provide a computer program product, comprising a computer program, which, when executed, implements the above method for calculating horizontal deformation of a ground surface of a shield tunnel in soft soil.

[0256] In the description of the application, reference to "one embodiment", "some embodiments", "an example", "a specific example", or "some examples" means that a particular feature, structure, material, or characteristic being described is included in at least one embodiment or example of the application. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment or example. Furthermore, the described specific features, structures, materials, or characteristics can be combined in any suitable manner in one or more embodiments or examples. In addition, the usage of "N" means at least two, for example, two, three or the like, unless explicitly stated otherwise.

[0257] Furthermore, the terms "first", "second", or the like, are used merely as a designation of certain elements or features of the application, and do not imply or connote relative importance or a specific order of precedence. Thus, features defined with "first", "second", etc. can include at least one of the features, either explicitly or implicitly.

[0258] Any process or method descriptions or blocks in flow charts or otherwise described herein represent embodiments of modules, segments, or portions of code which include one or more executable instructions for implementing specific logic functions or steps, and alternate implementations are possible. In some embodiments, the processes or methods described in flow charts or otherwise described herein are not necessarily performed in the order shown or discussed, including, for example, performing or depending from other operations or stages, in parallel, in reverse order, or in a variety of orders.

[0259] The logic and / or steps represented in the flowcharts and / or described herein, for example, can be considered as a sequence of executable instructions stored in a computer readable medium, which can be executed by an instruction execution system, apparatus or device, such as a computer-based system, a processor-based system, or other system that can fetch the instructions from the instruction execution system, apparatus or device and execute the instructions, or a combination of the above. For the purposes of this specification, a "computer readable medium" can be any apparatus that can contain, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus or device. The computer readable medium can be a computer readable storage medium or a computer readable signal medium. The computer readable storage medium can include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or a propagation medium. The computer readable signal medium can include, but is not limited to, a computer readable medium that facilitates transfer of the program from one place to another. A specific example of a computer readable medium is a non-transitory computer-readable storage medium. A specific example of a computer readable signal medium is a source or destination of the computer readable medium. Another specific example of a computer readable signal medium is a computer readable signal travelling through space. Thus, a computer readable medium can take many forms of hardware to carry out the program for use by or in connection with the instruction execution system, apparatus or device.

[0260] It should be understood that aspects of the application can be implemented in hardware, software, firmware or a combination thereof. In the above embodiments, the N steps or methods can be implemented in software or firmware stored in a memory and executed by a suitable instruction execution system. If implemented in hardware and in another embodiment, the hardware can be implemented using any or a combination of the following technologies, which are each well known in the art: a discrete logic circuit(s) having logic gates for implementing logic functions upon an application of data signals, an application specific integrated circuit having appropriate combinational logic gates, a programmable gate array(s) (PGA), a field programmable gate array (FPGA), etc.

[0261] Those of skill in the art would understand that the steps of the methods carried out above can be carried out wholly or partly by a program instructing relevant hardware, and the program can be stored in a computer readable storage medium, and when executed, includes one or a combination of the steps of the method embodiments.

[0262] In addition, each of the functional units in the various embodiments of the present application can be integrated in one processing module, or each of the units can be physically present separately, or two or more units can be integrated in one module. The integrated module can be implemented in the form of hardware or in the form of a software functional module. When the integrated module is implemented in the form of a software functional module and sold or used as an independent product, it can also be stored in a computer readable storage medium.

[0263] The storage medium mentioned above can be a read-only memory, a magnetic disk or an optical disk, etc. Although the embodiments of the present application have been shown and described above, it should be understood that the above embodiments are exemplary and should not be construed as limiting the present application, and those skilled in the art can make changes, modifications, replacements and variations to the above embodiments within the scope of the present application.

Claims

1. A method for calculating the horizontal surface deformation of a shield tunnel in underconsolidated soft soil, characterized in that, Includes the following steps: The maximum value of the remaining horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation, the horizontal location of the maximum value of the remaining horizontal deformation of the ground surface, and the distribution coefficient of the remaining horizontal deformation of the ground surface are determined based on the consolidation of the underconsolidated soft soil foundation. The remaining horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation is calculated based on the maximum value of the remaining horizontal deformation of the ground surface, the horizontal location of the maximum value of the remaining horizontal deformation of the ground surface, and the distribution coefficient of the remaining horizontal deformation of the ground surface. Based on shield tunneling and the ground loss rate during shield tunneling, the short-term horizontal deformation of the ground surface caused by shield tunneling in underconsolidated soft soil is calculated. Based on the shield tunneling construction, the maximum value of the long-term horizontal deformation of the ground surface caused by the shield tunneling construction of the underconsolidated soft soil and the horizontal position of the maximum value of the long-term horizontal deformation of the ground surface are determined, and the long-term horizontal deformation of the ground surface caused by the shield tunneling construction of the underconsolidated soft soil is calculated using the maximum value of the long-term horizontal deformation of the ground surface and the horizontal position of the maximum value of the long-term horizontal deformation of the ground surface. The long-term horizontal deformation of the surface of the under-consolidated soft soil shield tunnel is calculated using the residual horizontal deformation of the surface caused by the consolidation of the under-consolidated soft soil foundation, the short-term horizontal deformation of the surface caused by the shield tunneling of the under-consolidated soft soil, and the long-term horizontal deformation of the surface caused by the shield tunneling of the under-consolidated soft soil. The formula for calculating the residual horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation is as follows: Where, ΔH c The residual horizontal deformation of the ground surface caused by the consolidation of underconsolidated soft soil foundation; ΔH cmax denoted as , where b is the maximum value of the remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation; and i is the distribution coefficient of the remaining horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation. The formula for calculating the short-term horizontal deformation of the ground surface caused by shield tunneling in underconsolidated soft soil is as follows: Among them, H s This refers to the short-term surface deformation caused by shield tunneling in underconsolidated soft soil; V L denoted as the ground loss rate during shield tunneling in underconsolidated soft soil; x is the horizontal distance from the tunnel center; D is the tunnel diameter; v is the Poisson's ratio of the soil layer. The formula for calculating the long-term horizontal surface deformation caused by shield tunneling in underconsolidated soft soil is as follows: Among them, H c The surface deformation caused by shield tunneling in underconsolidated soft soil is represented by 'a'; 'a' represents the horizontal position where the maximum long-term horizontal deformation caused by shield tunneling in underconsolidated soft soil is located; H cmax This represents the maximum long-term horizontal deformation of the ground surface caused by shield tunneling in underconsolidated soft soil.

2. The method according to claim 1, characterized in that, in, The formula for calculating the maximum residual horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation is as follows: ΔH cmax =C1 ln[C2(1-U0)+1], The formula for calculating the horizontal location of the maximum residual horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation is as follows: b = exp(C3U0 + C4) + C5, The formula for calculating the distribution coefficient of the residual horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation is as follows: i=exp[-2.4L(1-U0)+2.4]+20.5, Where C1, C2, C3, C4, and C5 are the fitting coefficients in each expression, U0 is the initial degree of consolidation of the underconsolidated soft soil foundation, and L is the thickness of the recently filled soil on the ground surface; where, The formula for calculating C1 is: C1 = -3.5L - 0.55z + 42.57 The formula for calculating C2 is: C2 = 7.3L - 0.2z - 11.2, The formula for calculating C3 is: C3=0.25(z-16.0) 2 +12.2, The formula for calculating C4 is: C2 = 7.3L - 0.2z - 11.2, The formula for calculating C5 is: C5 = 0.52z + 9.0 Where z is the burial depth from the center of the tunnel to the ground surface.

3. The method according to claim 1, characterized in that, The formula for calculating the long-term horizontal surface deformation of the underconsolidated soft soil shield tunnel is as follows: H L (x)=H s (x)+H c (x)+ΔH c (x), Among them, H L This refers to the long-term horizontal deformation of the surface of a shield tunnel in underconsolidated soft soil.

4. A calculation device for horizontal surface deformation of a shield tunnel in underconsolidated soft soil, characterized in that, The method for calculating the horizontal surface deformation of a shield tunnel in underconsolidated soft soil as described in any one of claims 1-3, wherein the method includes: The first calculation module is used to determine the maximum value of the remaining horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation, the horizontal location of the maximum value of the remaining horizontal deformation of the ground surface, and the distribution coefficient of the remaining horizontal deformation of the ground surface based on the consolidation of the underconsolidated soft soil foundation, and to calculate the remaining horizontal deformation of the ground surface caused by the consolidation of the underconsolidated soft soil foundation based on the maximum value of the remaining horizontal deformation of the ground surface, the horizontal location of the maximum value of the remaining horizontal deformation of the ground surface, and the distribution coefficient of the remaining horizontal deformation of the ground surface. The second calculation module is used to calculate the short-term horizontal deformation of the ground surface caused by shield tunneling in underconsolidated soft soil based on shield tunneling construction and the ground loss rate during shield tunneling construction. The third calculation module is used to determine the maximum value of the long-term horizontal deformation of the ground surface caused by the shield tunneling construction and the horizontal position of the maximum value of the long-term horizontal deformation of the ground surface based on the shield tunneling construction, and to calculate the long-term horizontal deformation of the ground surface caused by the shield tunneling construction using the maximum value of the long-term horizontal deformation of the ground surface and the horizontal position of the maximum value of the long-term horizontal deformation of the ground surface. The fourth calculation module is used to calculate the long-term horizontal deformation of the surface of the underconsolidated soft soil shield tunnel using the residual horizontal deformation of the surface caused by the consolidation of the underconsolidated soft soil foundation, the short-term horizontal deformation of the surface caused by the underconsolidated soft soil shield construction, and the long-term horizontal deformation of the surface caused by the underconsolidated soft soil shield construction.

5. An electronic device, characterized in that, include: The system includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the method for calculating the horizontal surface deformation of a shield tunnel in underconsolidated soft soil as described in any one of claims 1-3.

6. A computer-readable storage medium having a computer program stored thereon, characterized in that, The program is executed by the processor to implement the method for calculating the horizontal surface deformation of a shield tunnel in underconsolidated soft soil as described in any one of claims 1-3.

7. A computer program product, characterized in that, Includes a computer program, which, when executed, is used to implement the method for calculating the horizontal surface deformation of a shield tunnel in underconsolidated soft soil as described in any one of claims 1-3.

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