CN108829634A - A kind of tunnel excavation construction causes the calculation method of ground settlement - Google Patents
A kind of tunnel excavation construction causes the calculation method of ground settlement Download PDFInfo
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- CN108829634A CN108829634A CN201810662846.XA CN201810662846A CN108829634A CN 108829634 A CN108829634 A CN 108829634A CN 201810662846 A CN201810662846 A CN 201810662846A CN 108829634 A CN108829634 A CN 108829634A
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- G06F17/10—Complex mathematical operations
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Abstract
The invention discloses the calculation methods that a kind of construction of tunnel excavation causes ground settlement, include the following steps：If tunnel is backbreak, part is in that annulus is distributed centered on the tunnel center of circle, and outside tunnel outer diameter.Tunnel is backbreak and is partially divided into the unit of n area equation, each unit is calculated separately and collapses the sedimentation caused by earth's surface completely, be then overlapped summation again, finds out subsidence value S caused by tunnel excavation construction(x), this method can accurately calculate ground settlement caused by obtaining tunnel excavation construction, and calculating process is relatively simple.
Description
Technical field
The invention belongs to underground engineering technical field, it is related to the calculating side that a kind of tunnel excavation construction causes ground settlement
Method.
Background technique
With China's rapid economic development, urbanization process is constantly accelerated, and original means of transportation, which are difficult to meet, increasingly to be increased
The problems such as long traffic needs, and many big cities face traffic jam.
Subway is due to having and not interfering with each other with traffic above-ground in underground, and safety and comfort, convenient and efficient, upwards of movement is big etc.
Advantage, it has also become one of the major measure of city alleviation traffic pressure.
Constructing metro tunnel inevitably causes formation displacement and ground settlement to collapse, in texture stratum city, ground
Layer problem on deformation is subway construction question of common concern.
Constructing metro tunnel causes ground settlement, and then the problem of bringing mainly includes：Path formation is influenced, road is caused
Face cracking, impacts traffic safety；The differential settlement for causing surface buildings basis causes cracking, destroys, or even falls
It collapses and causes casualties；The deformation of the various pre-buried municipal pipelines in underground is caused, causes gas leakage, running water pipe explosion etc. and asks
Topic.
Peck method is the calculation method of the most common ground settlement of engineering circles, and this method, which calculates ground settlement, has simple side
Just, the advantages that easy-to-understand, but a large amount of measured data shows that Peck formula is poor to the applicability of shallow tunnel, calculates
Resultant error is larger.
Summary of the invention
It is an object of the invention to overcome the above-mentioned prior art, provides a kind of construction of tunnel excavation and cause earth's surface
The calculation method of sedimentation, this method can accurately calculate ground settlement caused by tunnel excavation construction, and calculating process is more
It is easy.
In order to achieve the above objectives, it includes following that tunnel excavation construction of the present invention, which causes the calculation method of ground settlement,
Step：
If tunnel is backbreak, part is centered on the tunnel center of circle, and is in annulus distribution outside the tunnel outer diameter, and tunnel is backbreak portion
Graduation is divided into the unit of n area equation, calculates separately each unit and collapses the sedimentation caused by earth's surface completely, is then folded again
Add summation, finds out subsidence value S caused by tunnel excavation construction(x), wherein subsidence value caused by tunnel excavation is constructed
S(x)For：
Wherein, R is the outer diameter in tunnel, and θ is the angle of unit and tunnel vertical axis, and x is ground identity distance tunnel central axes
Distance, iiCause the sedimentation groove width of ground settlement for unit.
Each unit causes the sedimentation S of earth's surfacei(x)For：
Each unit causes the sedimentation groove width i of ground settlementiFor：
For the internal friction angle of the soil body.
N=20.
The invention has the advantages that：
Tunnel excavation construction of the present invention causes the calculation method of ground settlement when specific operation, and tunnel is backbreak
Part is divided into the unit of n area equation, calculates separately each unit and collapses the sedimentation caused by earth's surface completely, then carries out again
Summation obtains subsidence value caused by tunnel excavation construction.The calculation method is simple and easy, it is readily appreciated that, computational accuracy is high,
Without complicated mathematical operation, do not need more to program, it is lower using threshold, it is easy to promote and apply in engineering circles.
Detailed description of the invention
Fig. 1 is that tunnel is backbreak part division result schematic diagram in the present invention.
Specific embodiment
The invention will be described in further detail with reference to the accompanying drawing：
Peck formula assume tunnel backbreak part collapse completely caused by ground settlement meet normal distribution law, but it is a large amount of
Measured data show that the formula is poor to the applicability of shallow tunnel, error calculated is larger.
With reference to Fig. 1, present invention assumes that tunnel is backbreak, portion is made of the junior unit of several area equations, and thinks each list
Ground settlement caused by member collapses completely meets normal distribution law, proposes a kind of new calculation of ground surface settlement on this basis
Method.Firstly, calculating separately ground settlement caused by each unit collapses, then the ground settlement caused by each unit is folded
Add and finds out total settlement.This method need to only carry out repeatability for several times and calculate you can get it more accurate subsidence value, and letter
Easy row, exploitativeness are strong.
Tunnel excavation construction of the present invention causes the calculation method of ground settlement to include the following steps：
If tunnel is backbreak, part is in that annulus is distributed centered on the tunnel center of circle, and outside tunnel outer diameter.Tunnel is backbreak portion
Graduation is divided into the unit of n area equation, calculates separately each unit and collapses the sedimentation caused by earth's surface completely, is then folded again
Add summation, finds out subsidence value S caused by tunnel excavation construction(x), wherein subsidence value caused by tunnel excavation is constructed
S(x)For：
Wherein, R is the outer diameter in tunnel, and θ is the angle of unit and tunnel vertical axis, and x is ground identity distance tunnel central axes
Distance, iiCause the sedimentation groove width of ground settlement for unit.
Each unit causes the sedimentation S of earth's surfacei(x)For：
Each unit causes the sedimentation groove width i of ground settlementiFor：
For the internal friction angle of the soil body.
Embodiment one
To probe within the scope of common engineering allowable error, the specific value of division numbers n is analyzed.Establish size
It is analyzed for the two-dimensional mathematical model of 30m × 20m, tunnel radius is 3m, buried depth 6m, is located at model center.Constructing tunnel
Ground loss ratio is taken as 3%, soil body internal friction angle and is taken as 12.5 °.Calculate separately part of backbreaking division numbers be 24,20,16,
12, in the case where 8,4 ground settlement curve expression formula, by the calculated result of calculation method proposed by the present invention and Peck formula
Calculated result and numerical simulation Comparative result, relative error is as shown in table 1.
Table 1
According to table 1, when n value takes 20, i.e., by tunnel backbreak part be evenly dividing into 20 when, calculated result with
Numerical simulation result is no different.Therefore the operating condition being commonly encountered for urban subway tunnel construction, the expression formula of ground settlement are：
Claims (4)
1. the calculation method that a kind of tunnel excavation construction causes ground settlement, which is characterized in that include the following steps：
If tunnel is backbreak, part is in that annulus is distributed centered on the tunnel center of circle, and outside tunnel outer diameter, and tunnel is backbreak and is partially drawn
It is divided into the unit of n area equation, calculates separately each unit and collapse the sedimentation caused by earth's surface completely, be then overlapped and ask again
With, find out tunnel excavation construction caused by subsidence value S(x), wherein subsidence value S caused by tunnel excavation is constructed(x)
For：
Wherein, R is the outer diameter in tunnel, and θ is the angle of unit and tunnel vertical axis, and x is the distance of ground identity distance tunnel central axes,
iiCause the sedimentation groove width of ground settlement for unit.
2. the calculation method that tunnel excavation construction according to claim 1 causes ground settlement, which is characterized in that each unit
Cause the sedimentation S of earth's surfacei(x)For：
3. the calculation method that tunnel excavation construction according to claim 2 causes ground settlement, which is characterized in that each unit
Cause the sedimentation groove width i of ground settlementiFor：
For the internal friction angle of the soil body.
4. the calculation method that tunnel excavation construction according to claim 1 causes ground settlement, which is characterized in that n=20.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
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| CN201810662846.XA CN108829634A (en) | 2018-06-25 | 2018-06-25 | A kind of tunnel excavation construction causes the calculation method of ground settlement |
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| CN201810662846.XA CN108829634A (en) | 2018-06-25 | 2018-06-25 | A kind of tunnel excavation construction causes the calculation method of ground settlement |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111980716A (en) * | 2020-08-27 | 2020-11-24 | 中铁十五局集团有限公司 | Calculation method for predicting soil body settlement caused by asynchronous tunneling of parallel tunnels |
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2018
- 2018-06-25 CN CN201810662846.XA patent/CN108829634A/en active Pending
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111980716A (en) * | 2020-08-27 | 2020-11-24 | 中铁十五局集团有限公司 | Calculation method for predicting soil body settlement caused by asynchronous tunneling of parallel tunnels |
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Application publication date: 20181116 |