CN105956271B - A kind of tunneling shield construction causes the calculation method of formation displacement - Google Patents

A kind of tunneling shield construction causes the calculation method of formation displacement Download PDF

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CN105956271B
CN105956271B CN201610286880.2A CN201610286880A CN105956271B CN 105956271 B CN105956271 B CN 105956271B CN 201610286880 A CN201610286880 A CN 201610286880A CN 105956271 B CN105956271 B CN 105956271B
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王海涛
金慧
张景元
闫帅
何永
常胜涛
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Abstract

The invention discloses the calculation methods that a kind of construction of tunneling shield causes formation displacement, comprising the following steps: the measurement of During Initial Stage Construction formation displacement；The fitting of Stratum Loss inverse transfer function；The amendment of empirical equation.The research means such as present invention combination field measurement, statistical analysis technique and empirical formula method explore the prediction of stratum displacement model for the influence of Practical Project soil condition and specific constructing tunnel parameter.The present invention is layered the difference for considering geological conditions and construction time Stratum Loss, and using the displacement data of its acquisition early period of constructing, back analysis goes out the stratum settlement slot curve at different buried depth, obtained the parameter of curve for more meeting the soil condition.The present invention has fully considered Stratum Loss difference, it has modified the empirical equation of maximum displacement and subsider spread factor in different soil and is finally inversed by its relevant parameter, finally based on subsider curve Gaussian distributed it is assumed that obtaining entire subsider displacement curve calculation formula.

Description

A kind of tunneling shield construction causes the calculation method of formation displacement
Technical field
The present invention relates to urban subway tunnel engineering field, especially a kind of tunneling shield construction causes the meter of formation displacement Calculation method.
Background technique
Formation displacement caused by tunneling shield is constructed, brings one to the safety and normal use of building in earth's surface and ground Fixed influence, therefore how to predict that formation displacement caused by tunneling shield construction is the premise of tunnel safety construction.At present about The research of formation displacement caused by tunneling shield is constructed focuses mostly in surface displacement, and the research about the following formation displacement of earth's surface It works relatively fewer.The existing calculation method about formation displacement mainly has experience equation and analytic method, wherein experience Equation is using relatively broad.In empirical formula method mainly based on peck formula and its extension formula, and it is more using premise Stratum Loss based on peck formula is constant it is assumed that not fully considering the difference and different soil properties of different buried depth Stratum Loss Under the conditions of formula applicability so that there are biggish errors when using empirical equation to the prediction of construction time formation displacement.
Summary of the invention
To solve the above problems existing in the prior art, the present invention will design a kind of consideration Stratum Loss difference and soil property item Tunneling shield construction that part influences, being accurately calculated causes the calculation method of formation displacement.
To achieve the goals above, technical scheme is as follows: a kind of construction of tunneling shield causes formation displacement Calculation method, comprising the following steps:
A, the measurement of During Initial Stage Construction formation displacement；
It constructs early period, according to engineering data, selects suitable area, measuring point is carried out to the soil layer under different geological conditions and is set Meter, it is desirable that measuring point is uniformly distributed in each soil thickness；Measuring point is laid in upper layer or lower layer by soil layer intersection；Placement prison Instrument is surveyed, each measuring point displacement of During Initial Stage Construction is monitored；
B, the fitting of Stratum Loss inverse transfer function；
On same monitoring section, time-histories having the same is displaced in earth's surface and ground, when settle it is basicly stable when, earth's surface and Transverse settlement groove curve reaches stable simultaneously in ground；The Stratum Loss of any k-th of soil layer is defined against carry-over factor ck(z):
In formula: VkIt (z) is Stratum Loss, the A under buried depth z in k-th of soil layerkIt (z) is heavy under buried depth z in k-th of soil layer Slot area of section, S dropk,maxIt (z) is the maximum displacement (mm) under buried depth z in k-th of soil layer, ikIt (z) is buried depth in k-th of soil layer Subsider spread factor (m) under z；Vk(zk-1 +) it is buried depth z in soil layer kk-1Stratum Loss, the A at placek(zk-1 +) it is in soil layer k Buried depth zk-1Subsider area of section, the S at placek,max(zk-1 +) it is buried depth z in soil layer kk-1The maximum displacement at place, ik(zk-1 +) it is soil Buried depth z in layer kk-1The subsider spread factor at place, zk-1For the sum of preceding k-1 soil thickness (m), zk-1 +For buried depth zk-1Place is inclined The position of lower soil layer k, zk-1 -For buried depth zk-1Locate the position soil layer k-1 on the upper side；
Stratum Loss stratum subsider curve where a certain depth location is wrapped with the buried depth position horizontal plane The sedimentation sump volume for the unit length enclosed, when subsider curve obeys Gaussian curve, calculation formula isWhen for arbitrary curve, only need to calculate its it is stable when subsider area of section；Below Analysis is based on subsider curve Gaussian distributed.
Buried depth z in the soil layer kk-1The V at placek(zk-1 +)、Ak(zk-1 +)、Sk,max(zk-1 +)、ik(zk-1 +) it is equal to soil layer k- Buried depth z in 1k-1The V at placek-1(zk-1 -)、Ak-1(zk-1 -)、Sk-1,max(zk-1 -)、ik-1(zk-1 -)。
Using collected displacement data, gaussian curve approximation is carried out by origin software, is obtained from fitting result The area that subsider curve and reference axis are surrounded is equivalent to Stratum Loss, subsider spread factor and maximum displacement；It is based on Statistical analysis principle, to ck(z) and tunnel axis buried depth h and thick topsoil reinforced z is for statistical analysis, obtains under different geological conditions Soil layer in Stratum Loss against carry-over factor ck(z) function expression and corresponding parameter akAnd bkSpecific value, such as formula (2) Or shown in formula (3)；Finally using the method for piecewise function superposition, the entire Stratum Loss for going up overburden layer is obtained against carry-over factor c (z)。
C, the amendment of empirical equation；
Using Stratum Loss inverse transfer function c (z) obtained in step B, the Stratum Loss at different buried depth is corrected, is established At ground settlement slot parameter and different buried depth in ground subsider parameter relationship, as shown in formula (5)；By measured displacements value, The parameter n of each soil layer is finally inversed by based on formula (6)k, obtain the maximum displacement calculation formula for being specifically suitable for each soil layer；Using folded Principle is added to obtain the maximum displacement calculation formula (7) at entirely upper overburden layer different buried depth；Convolution (5) obtains sedimentation groove width The calculation formula (8) of coefficient is finally based on Gaussian distribution curve, obtains the predictor formula (9) of subsider curve, then apply subsequent Working hour need to only monitor earth's surface or shallow-layer displacement achieves that the prediction of formation displacement in entire upper overburden layer.
i(0)Smax(0) c (z)=i (z) Smax(z) (5)
Smax(0), i (0) is respectively maximum displacement (mm) and the subsider spread factor (m) of ground settlement slot curve；Smax (z), i (z) is respectively maximum displacement (mm) and the subsider spread factor (m) of the subsider curve under thick topsoil reinforced z；Sz(x) For the formation displacement curve (mm) at thick topsoil reinforced z；X is horizontal distance (m) of the monitoring point away from tunnel axis.
Compared with prior art, the invention has the following advantages:
1, the present invention combines the research means such as field measurement, statistical analysis technique and empirical formula method, for Practical Project The influence of soil condition and specific constructing tunnel parameter, explores the prediction of stratum displacement model.Present invention layering is examined The difference for having considered geological conditions and construction time Stratum Loss fits difference and buries using the displacement data of its acquisition early period of constructing The stratum settlement slot curve of depths, has obtained the parameter of curve for more meeting the soil condition.
2, the present invention is based on statistical analysis principles is fitted using the measured data of construction early period by origin software Stratum Loss inverse transfer function in different soil about edpth of tunnel and thick topsoil reinforced；The principle being superimposed using piecewise function, Obtain the Stratum Loss inverse transfer function of entirely upper overburden layer.
3, the present invention has fully considered Stratum Loss difference, has modified maximum displacement and sedimentation groove width system in different soil Several empirical equations is simultaneously finally inversed by its relevant parameter, finally based on subsider curve Gaussian distributed it is assumed that obtaining entire Subsider displacement curve calculation formula, realizes in construction in later period, the more accurately prediction for the formation displacement that may cause, right Later period safe construction has more preferable important directive significance.
Detailed description of the invention
Fig. 1 is engineering geological condition schematic diagram, and the figure is by taking k=2 as an example.
Fig. 2 is first formation displacement Gauss curve fitting curve graph.
Fig. 3 is first Stratum Loss inverse transfer function matched curve.
Fig. 4 is first stratum maximum displacement formula and parameter fitted figure.
Fig. 5 is flow chart of the invention.
Specific embodiment
To illustrate a specific embodiment of the invention, the present invention is done in detail now in conjunction with the monitoring result of following model test Explanation.
By indoor model test, the formation displacement at different buried depth is measured.Test parameters includes that tunnel buries Deep 0.8m, first soil thickness 0.3m, second soil thickness 0.5m, tunnel excavation diameter 20cm, such as Fig. 1 in upper overburden layer It is shown.Vertical tunnel digs into direction measuring point and lays at interval of 10cm, and on depth direction, since earth's surface, interval 10cm is laid, soil Layer junction was laid in last soil layer, laid 7 depth layers altogether.Using origin software, each measuring point displacement data are inputted, are intended The stratum settlement slot curve under first layer different buried depth is closed out, as shown in Figure 2.Each song is extracted from the parameter table of matched curve The spread factor of line and maximum displacement, the results are shown in Table 1.Each buried depth position in first soil layer is calculated using formula (1) The Stratum Loss at place is against carry-over factor c1(z) measured value, then to c1(z) measured value and tunnel axis buried depth h and soil layer buries Deep z is for statistical analysis, by taking the functional form of formula (2) as an example, obtains the inverse transmitting of Stratum Loss in first soil layer shown in Fig. 3 Coefficient c1(z) matched curve, while obtaining the parameter a of curve1=-1.42.The Stratum Loss of second soil layer similarly can be obtained Inverse carry-over factor c2(z) parameter a2=-0.812, while calculating c1(0.3-)=1.95, superposition obtain entire upper overburden layer Stratum Loss is against carry-over factor function c (z):
By the maximum displacement in table 1, it is based on formula (5), is finally inversed by the parameter in first soil layer using origin software n1=-1.141, as shown in figure 4, the empirical equation parameter n in second soil layer similarly can be obtained2=-0.632.And then utilize formula (7) obtain calculating the empirical equation (11) of entire upper overburden layer maximum displacement.Utilize the inverse transmitting of Stratum Loss obtained in step B Function corrects the Stratum Loss at different buried depth, and then can calculate subsider spread factor.For when z=0.5m, calculate C (0.5)=1.76, S can be obtainedmax(0.5)=26.159mm can be calculated i (0.5)=11.83cm by formula (12), substitute into formula (9), the calculation formula (13) of the formation displacement curve under the buried depth is obtained.In subsequent construction, only need to monitor surface displacement or Shallow-layer displacement obtains more reliable that is, using formula (10)-(12) maximum displacement in amendment type (9) and spread factor immediately The predictor formula of deeper formation displacement, overall flow are shown in Fig. 5.
I (0.5)=i (0) c (0.5) Smax(0)/Smax(0.5) (12)
1 subsider spread factor of table and maximum displacement value table

Claims (1)

1. the calculation method that a kind of tunneling shield construction causes formation displacement, it is characterised in that: the following steps are included:
A, the measurement of During Initial Stage Construction formation displacement；
It constructs early period, according to engineering data, selects suitable area, measuring point design is carried out to the soil layer under different geological conditions, Ask measuring point uniformly distributed in each soil thickness；Measuring point is laid in upper layer or lower layer by soil layer intersection；Dispose monitor Device monitors each measuring point displacement of During Initial Stage Construction；
B, the fitting of Stratum Loss inverse transfer function；
On same monitoring section, time-histories having the same is displaced in earth's surface and ground, when settling basicly stable, in earth's surface and ground Transverse settlement groove curve reaches stable simultaneously；The Stratum Loss of any k-th of soil layer is defined against carry-over factor ck(z):
In formula: VkIt (z) is the Stratum Loss under buried depth z in k-th of soil layer；AkIt (z) is the subsider under buried depth z in k-th of soil layer Area of section；Sk,maxIt (z) is the maximum displacement under buried depth z in k-th of soil layer, mm；ik(z) under buried depth z in k-th of soil layer Subsider spread factor, m；Vk(zk-1 +) it is buried depth z in soil layer kk-1The Stratum Loss at place；Ak(zk-1 +) it is buried depth z in soil layer kk-1 The subsider area of section at place；Sk,max(zk-1 +) it is buried depth z in soil layer kk-1The maximum displacement at place；ik(zk-1 +) it is to be buried in soil layer k Deep zk-1The subsider spread factor at place；zk-1For the sum of preceding k-1 soil thickness, m；zk-1 +For buried depth zk-1Locate soil layer k's on the lower side Position, zk-1 -For buried depth zk-1Locate the position soil layer k-1 on the upper side；
Stratum subsider curve where a certain depth location of the Stratum Loss is surrounded with the buried depth position horizontal plane The sedimentation sump volume of unit length, when subsider curve obeys Gaussian curve, calculation formula isWhen for arbitrary curve, only need to calculate its it is stable when subsider area of section；Below Analysis is based on subsider curve Gaussian distributed；
Buried depth z in the soil layer kk-1The V at placek(zk-1 +)、Ak(zk-1 +)、Sk,max(zk-1 +)、ik(zk-1 +) be equal in soil layer k-1 Buried depth zk-1The V at placek-1(zk-1 -)、Ak-1(zk-1 -)、Sk-1,max(zk-1 -)、ik-1(zk-1 -)；
Using collected displacement data, gaussian curve approximation is carried out by origin software, is settled from fitting result The area that slot curve and reference axis are surrounded is equivalent to Stratum Loss, subsider spread factor and maximum displacement；Based on statistics Analysis principle, to ck(z) and tunnel axis buried depth h and thick topsoil reinforced z is for statistical analysis, obtains the soil under different geological conditions Stratum Loss is against carry-over factor c in layerk(z) function expression and corresponding parameter akAnd bkSpecific value, such as formula (2) or formula (3) shown in；Finally using the method for piecewise function superposition, inverse transmitting c (z) of Stratum Loss of entirely upper overburden layer is obtained；
C, the amendment of empirical equation；
Using Stratum Loss obtained in step B against carry-over factor c (z), the Stratum Loss at different buried depth is corrected, earth's surface is established At subsider parameter and different buried depth in ground subsider parameter relationship, as shown in formula (5)；By measured displacements value, it is based on Formula (6) is finally inversed by the parameter n of each soil layerk, obtain the maximum displacement calculation formula for being specifically suitable for each soil layer；It is former using superposition Reason obtains the maximum displacement calculation formula (7) at entirely upper overburden layer different buried depth；Convolution (5) obtains subsider spread factor Calculation formula (8), finally be based on Gaussian distribution curve, obtain the predictor formula (9) of subsider curve, then in subsequent construction When, it need to only monitor earth's surface or shallow-layer displacement achieves that the prediction of formation displacement in entire upper overburden layer；
i(0)Smax(0) c (z)=i (z) Smax(z) (5)
Smax(0), i (0) is respectively the maximum displacement mm and subsider spread factor m of ground settlement slot curve；Smax(z)、i(z) The maximum displacement mm and subsider spread factor m of subsider curve under respectively thick topsoil reinforced z；Sz(x) at thick topsoil reinforced z Formation displacement curve mm；X is horizontal distance m of the monitoring point away from tunnel axis.
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CN107562977B (en) * 2017-07-04 2019-02-05 北京交通大学 The prediction technique that construction causes existing tunnel to deform is worn under a kind of shield
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