CN117349936A - Safety calculation method for underwater tunnel near fault lower disc excavation scale - Google Patents
Safety calculation method for underwater tunnel near fault lower disc excavation scale Download PDFInfo
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- 238000009412 basement excavation Methods 0.000 title claims abstract description 45
- 238000004364 calculation method Methods 0.000 title abstract description 5
- 239000011435 rock Substances 0.000 claims abstract description 32
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 27
- 230000005484 gravity Effects 0.000 claims abstract description 16
- 238000010276 construction Methods 0.000 claims abstract description 14
- 238000000034 method Methods 0.000 claims abstract description 13
- 239000003795 chemical substances by application Substances 0.000 claims description 3
- 230000021715 photosynthesis, light harvesting Effects 0.000 claims description 3
- 231100000817 safety factor Toxicity 0.000 description 7
- 238000011160 research Methods 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 2
- 230000009172 bursting Effects 0.000 description 2
- 229910052799 carbon Inorganic materials 0.000 description 2
- LYPFDBRUNKHDGX-SOGSVHMOSA-N N1C2=CC=C1\C(=C1\C=CC(=N1)\C(=C1\C=C/C(/N1)=C(/C1=N/C(/CC1)=C2/C1=CC(O)=CC=C1)C1=CC(O)=CC=C1)\C1=CC(O)=CC=C1)C1=CC(O)=CC=C1 Chemical compound N1C2=CC=C1\C(=C1\C=CC(=N1)\C(=C1\C=C/C(/N1)=C(/C1=N/C(/CC1)=C2/C1=CC(O)=CC=C1)C1=CC(O)=CC=C1)\C1=CC(O)=CC=C1)C1=CC(O)=CC=C1 LYPFDBRUNKHDGX-SOGSVHMOSA-N 0.000 description 1
- 230000002776 aggregation Effects 0.000 description 1
- 238000004220 aggregation Methods 0.000 description 1
- 238000004146 energy storage Methods 0.000 description 1
- 238000005065 mining Methods 0.000 description 1
- 238000006386 neutralization reaction Methods 0.000 description 1
- 238000004088 simulation Methods 0.000 description 1
- 229960002197 temoporfin Drugs 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
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Abstract
The invention discloses a method for calculating the safety of a lower disc excavation scale of an underwater tunnel near fault. Firstly, calculating the geometric and angular relation between the dimensions of the damaged surface of the excavation footage section of the underwater tunnel, then respectively calculating the external power of the fault water pressure, the external power of the gravity of the surrounding rock and the internal dissipation power of the surrounding rock, calculating the safety coefficient, and comparing with the allowable safety coefficient to judge whether the excavation footage of the tunnel is safe or not. The invention provides a calculation method for determining reasonable excavation footage of the construction of the adjacent faults of the underwater tunnel; whether the excavation footage is safe or not can be evaluated according to the method, and the reasonable safe excavation footage is under the allowable safety coefficient; and then can confirm the different fault dip angles and under the fault water pressure, the different excavation under the footage safety coefficient of tunnel to provide the basis for the adjacent fault safe construction of tunnel under water.
Description
Technical Field
The invention belongs to the technical field of tunnel construction, and particularly relates to a method for calculating the safety of a near-fault lower disc excavation scale of an underwater tunnel.
Background
The deceased yard Wang Mengshu proposed that the 21 st century is a tunnelCenturies with underground works. Tunnels and underground engineering are also promising in national strategies for carbon peak and carbon neutralization, such as underground energy storage, underground traffic (resource conservation), and the like. In the process of constructing tunnels and underground engineering, if fault fracture zones, particularly water-rich faults, are encountered, the risks of tunnel collapse and water and mud bursting are induced. For example, yiwanrailway Ji Yueshan tunnel F 11 High-pressure water-rich fault, tunnel crossing F 1 1 When in fault, the hidden river water is possibly led into the tunnel by the fault to generate large-scale water and mud bursting disasters, which are recognized as a worldwide problem by domestic tunnel experts and peers. Therefore, the development of near-fault safe construction of tunnels and underwater tunnels, in particular to excavation footage research, has very important engineering significance and scientific value.
At present, few researches on the near-fault excavation footage of an underwater tunnel are carried out, a small number of documents and patents are used for researching the footage of the tunnel under the condition of no fault, and a theoretical analysis method for evaluating the safety of the near-fault lower disc excavation footage of the underwater tunnel cannot be provided.
Disclosure of Invention
The invention aims to provide a method for calculating the safety of a disc excavation ruler under a near fault of an underwater tunnel. The method can judge whether the tunnel excavation footage meets the requirements or not, and can determine the tunnel safety coefficients of the tunnel under different tunnel excavation footages under different fault inclination angles and fault water pressures, thereby providing a basis for the near-fault safety construction of the underwater tunnel.
The invention discloses a method for calculating the safety of an under-fault disc excavation ruler of an underwater tunnel, which comprises the following steps in sequence:
(1) Geometric and angular relationship between the dimensions of the damaged surfaces of the underwater tunnel footage section:
；
；
；
；
；
；
；
；
；
wherein:L AF is the length between the point A and the point F;L AG the length between the point A and the point G is the thickness of the anti-fault water burst;φis the internal friction angle of surrounding rock;a 1 is the included angle between the edge OA and the edge AB;βis the fault dip angle;a 2 is the included angle between the edge OB and the edge AB;a 3 is the angle between edge OE and edge EF;L OA is the length between the point O and the point A;Len is the tunnel excavation footage;L OB is the length between the point O and the point B;L OE is the length between the point O and the point E;L OF is the length between the O point and the F point;L BE is the length between the point B and the point E;L EF is the length between the E point and the F point;
(2) Fault water pressure external force power:
；
wherein: w (W) W Is the water pressure of faultForce and external force power;P W is the pressure of fault water;v 0 speed for block ABEF;
(3) The surrounding rock gravity external force acting power comprises the following steps:
and (I) calculating the side length relations of the block to obtain the area of the block:
；
；
；
wherein: s is S OAB Area for bulk OAB; s is S OFE Area for block OFE; s is S ABEF Area for block ABEF;
(II) surrounding rock gravity external force Power W γ The product of the gravity and the vertical component of the speed of the block can be obtained according to the area and the speed of the obtained block:
；
wherein: w (W) γ The gravity external power is the surrounding rock gravity external power; gamma is the surrounding rock weight;
(4) The external force power is as follows:
；
wherein: w is external force power;
(5) The internal energy dissipation power of the surrounding rock is as follows:
；
wherein:E D power is dissipated for the surrounding rock energy;cis the cohesive force of surrounding rocks;
(6) The safety coefficient is:
；
wherein: f (F) OS Is a safety coefficient;
(7) Judging whether the safety is high:
if it isThe excavation footage meets the allowable safety coefficient, and the construction is safe;
if it isThe excavation footage does not meet the allowable safety coefficient, and the construction is unsafe;
wherein: [F os ]To allow for a safety factor.
Compared with the prior art and the research method, the invention has the following advantages:
at present, few researches on the excavation footage of the underwater tunnel are carried out, and a few documents adopt numerical simulation of deformation rules of tunnels under different footage, so that a theoretical analysis method cannot be provided.
The invention provides a calculation method for determining reasonable excavation footage of near-fault construction of the underwater tunnel; whether the excavation footage is safe or not can be evaluated according to the method, and the reasonable safe excavation footage is under the allowable safety coefficient; and then can confirm under different fault dip angles and fault water pressure and tunnel security coefficient under the different excavation footage to provide the basis for near fault safe construction of underwater tunnel. The method of the invention can also be applied to determination of reasonable excavation footage of underground engineering such as mining tunnel, hydraulic tunnel and the like at near-underwater fault or water-rich joint crack.
Drawings
FIG. 1 is a schematic diagram of the method of the present invention.
Fig. 2 is a diagram of different excavation under-scale safety factors in accordance with an embodiment of the present invention.
In the figure, 1 is a tunnel excavation surface; 2 is a tunnel excavation footage section; 3 is a tunnel lined section;len is the tunnel excavation footage;βis the fault dip angle;φis the internal friction angle of surrounding rock;P W is the pressure of fault water;v 0 speed for block ABEF;a 1 is the included angle between the edge OA and the edge AB;a 2 is the included angle between the edge OB and the edge AB;a 3 is the angle between edge OE and edge EF.
Description of the embodiments
The invention is described in further detail below with reference to the drawings and examples.
Referring to fig. 1, the principle schematic diagram of the method for calculating the safety of the under-fault disc excavation scale of the underwater tunnel is shown.
Firstly, according to tunnel engineering profile, surrounding rock grade, fault occurrence and water level, obtaining related parameters such as surrounding rock cohesive force c and surrounding rock internal friction angleφTunnel excavation footage Len, fault inclination angleβEtc.
The specific calculation steps are as follows:
the first step: geometric and angular relationship between the dimensions of the damaged surfaces of the underwater tunnel footage section:
；
；
；
；
；
；
；
；
；
wherein:L AF is the length between the point A and the point F;L AG the length between the point A and the point G is the thickness of the anti-fault water burst;φis the internal friction angle of surrounding rock;a 1 is the included angle between the edge OA and the edge AB;βis the fault dip angle;a 2 is the included angle between the edge OB and the edge AB;a 3 is the angle between edge OE and edge EF;L OA is the length between the point O and the point A;Len is the tunnel excavation footage;L OB is the length between the point O and the point B;L OE is the length between the point O and the point E;L OF is the length between the O point and the F point;L BE is the length between the point B and the point E;L EF is the length between the E point and the F point;
and a second step of: fault water pressure external force power:
；
wherein: w (W) W The external power is the external power of the fault water pressure;P W is the pressure of fault water;v 0 speed for block ABEF;
and a third step of: the surrounding rock gravity external force acting power comprises the following steps:
and (I) calculating the side length relations of the block to obtain the area of the block:
；
；
；
wherein: s is S OAB Area for bulk OAB; s is S OFE Area for block OFE; s is S ABEF Area for block ABEF;
(II) surrounding rock gravity external force Power W γ The product of the gravity and the vertical component of the speed of the block can be obtained according to the area and the speed of the obtained block:
；
wherein: w (W) γ The gravity external power is the surrounding rock gravity external power; gamma is the surrounding rock weight;
fourth step: the external force power is as follows:
；
wherein: w is external force power;
fifth step: the internal energy dissipation power of the surrounding rock is as follows:
；
wherein:E D power is dissipated for the surrounding rock energy;cis the cohesive force of surrounding rocks;
sixth step: the safety coefficient is:
；
wherein: f (F) OS Is a safety coefficient;
seventh step: judging whether the safety is high:
if it isThe excavation footage meets the allowable safety coefficient, and the construction is safe；
If it isThe excavation footage does not meet the allowable safety coefficient, and the construction is unsafe;
wherein: [F os ]To allow for a safety factor.
The above equation is an explicit equation, the excavation length Len of the underwater tunnel is 2m, and the fault inclination angle is the same as that of the underwater tunnelβAt 60 degrees, the fault water pressure is 250kPa, and the surrounding rock adhesion and aggregation forcec50kPa, internal friction angle of surrounding rockφ15 degrees, allow a safety factor [ Fos ]]Taking 1.2, the safety factor Fos can be found to be 1.74 according to the steps above, which is greater than the allowable safety factor [ Fos ]]=1.2, so the tunnel construction under the footage is safe.
Changing the excavation footage L en The safety coefficients under different excavation footage can be obtained as shown in figure 2. As can be seen from the figures: along with excavation footage L en Is increased and the safety coefficient is reduced; in permitting the safety factor [ Fos]When the tunnel is=1.2, the critical excavation footage is about 2.88m, so that theoretical guidance is provided for determining reasonable excavation footage of the tunnel in the near water-rich fault area.
Claims (1)
1. A method for calculating the safety of an underwater tunnel near fault lower disc excavation scale is characterized by comprising the following steps in sequence:
(1) Geometric and angular relationship between the dimensions of the damaged surfaces of the underwater tunnel footage section:
；
；
；
；
；
；
；
；
；
wherein:L AF is the length between the point A and the point F;L AG the length between the point A and the point G is the thickness of the anti-fault water burst;φis the internal friction angle of surrounding rock;a 1 is the included angle between the edge OA and the edge AB;βis the fault dip angle;a 2 is the included angle between the edge OB and the edge AB;a 3 is the angle between edge OE and edge EF;L OA is the length between the point O and the point A;Len is the tunnel excavation footage;L OB is the length between the point O and the point B;L OE is the length between the point O and the point E;L OF is the length between the O point and the F point;L BE is the length between the point B and the point E;L EF is the length between the E point and the F point;
(2) Fault water pressure external force power:
；
wherein: w (W) W The external power is the external power of the fault water pressure;P W is the pressure of fault water;v 0 speed for block ABEF;
(3) The surrounding rock gravity external force acting power comprises the following steps:
and (I) calculating the side length relations of the block to obtain the area of the block:
；
；
；
wherein: s is S OAB Area for bulk OAB; s is S OFE Area for block OFE; s is S ABEF Area for block ABEF;
(II) surrounding rock gravity external force Power W γ The product of the gravity and the vertical component of the speed of the block can be obtained according to the area and the speed of the obtained block:
；
wherein: w (W) γ The gravity external power is the surrounding rock gravity external power; gamma is the surrounding rock weight;
(4) The external force power is as follows:
；
wherein: w is external force power;
(5) The internal energy dissipation power of the surrounding rock is as follows:
；
wherein:E D power is dissipated for the surrounding rock energy;cis the cohesive force of surrounding rocks;
(6) The safety coefficient is:
；
wherein: f (F) OS Is a safety coefficient;
(7) Judging whether the safety is high:
if it isThe excavation footage meets the allowable safety coefficient, and the construction is safe;
if it isThe excavation footage does not meet the allowable safety coefficient, and the construction is unsafe;
wherein: [F os ]To allow for a safety factor.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN118332670A (en) * | 2024-06-13 | 2024-07-12 | 中国铁路经济规划研究院有限公司 | Tunnel anti-seismic processing method and device |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN118332670A (en) * | 2024-06-13 | 2024-07-12 | 中国铁路经济规划研究院有限公司 | Tunnel anti-seismic processing method and device |
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