Method for real-time strength estimation, grading, and early warning of rock mass in tunnel boring machine (TBM) tunneling
11808152 · 2023-11-07
Assignee
- SHIJIAZHUANG TIEDAO UNIVERSITY (Shijiazhuang, CN)
- China State Railway Group Co., Ltd. (Beijing, BJ, CN)
Inventors
- Lijie Du (Shijiazhuang, CN)
- Qingwei Li (Shijiazhuang, CN)
- Yalei Yang (Shijiazhuang, CN)
- Yong Zhao (Shijiazhuang, CN)
- Siming Tian (Shijiazhuang, CN)
Cpc classification
G06Q10/06393
PHYSICS
G06F2119/14
PHYSICS
E21F17/185
FIXED CONSTRUCTIONS
E21F17/18
FIXED CONSTRUCTIONS
G06F30/13
PHYSICS
E21D9/003
FIXED CONSTRUCTIONS
International classification
E21D9/087
FIXED CONSTRUCTIONS
E21D9/00
FIXED CONSTRUCTIONS
E21F17/18
FIXED CONSTRUCTIONS
G01V99/00
PHYSICS
G06F30/13
PHYSICS
Abstract
A method for real-time strength estimation, grading, and early warning of rock mass in tunnel boring machine (TBM) tunneling, and belongs to the technical field of TBM tunnel construction. The method includes the following steps: establishing a general relation model of equivalent strength R.sub.ec of the TBM boring rock mass and a field penetration index (FPI); and applying the model to TBM boring construction, estimating an integrity coefficient K.sub.v of the TBM boring rock mass in real time according to boring parameters acquired by a TBM in real time, and performing grading and early warning on the TBM boring rock mass according to a given grading standard and early warning values.
Claims
1. A method for real-time strength estimation, grading, and early warning of rock mass in tunnel boring machine (TBM) tunneling, comprising the following steps: providing a TBM boring construction including a tunnel boring machine that is tunneling in a TBM boring rock mass; S1: establishing a general relation model of equivalent strength R.sub.ec of the TBM boring rock mass and a field penetration index (FPI) as follow:
R.sub.ec=64.981n(FPI)−140.32 Formula (1), wherein a determination coefficient of Formula (1) is R.sup.2=0.9146; S2: applying the model in Formula (1) to TBM boring construction, acquiring boring parameters of the TBM boring construction in real time, calculating the FPI according to the boring parameters, calculating the equivalent strength R.sub.ec of the boring rock mass using the model in Formula (1), and estimating an integrity coefficient K.sub.v of the TBM boring rock mass combined with compressive strength of an intact rock mass of the project with same lithology measured by pre-sampling; S3: performing grading and early warning on the TBM boring rock mass according to a given grading standard and early warning values based on the equivalent strength R.sub.ec and the integrity coefficient K.sub.v calculated using the model in Formula (1) in real time; and S4: identifying a breakage degree of the TBM boring rock mass based on the graded TBM boring rock mass and adjusting the boring parameters and applying a supporting protection to the TBM boring rock mass with a risk of rock mass collapse of the TBM boring construction according to the breakage degree of the TBM boring rock mass.
2. The method for real-time strength estimation, grading, and early warning of rock mass in TBM tunneling according to claim 1, wherein the model in Formula (1) in step S1 are determined as follows: S1.1: obtaining intact rock mass boring data and geological data of the TBM on site: acquiring the intact rock mass boring data and geological data of the TBM tunnel project under different tunnel diameter scales and different rock types, wherein the boring data comprises cutterhead thrust and penetration which are used to calculate the FPI; and the geological data comprises rock uniaxial compressive strength (UCS):
R.sub.c32 64.981n(FPI)−140.32(R.sup.2=0.9146) Formula (3); and S1.3: defining strength of the boring rock mass with difficulty of boring penetration equivalent to difficulty of boring penetration of an intact rock mass as the equivalent strength R.sub.ec of the TBM boring rock mass, that is, obtaining the model in Formula (1).
3. The method for real-time strength estimation, grading, and early warning of rock mass in TBM tunneling according to claim 1, wherein step S2 comprises the following sub-steps: S2.1: calculating the FPI of the boring rock mass according to the boring parameters acquired by a TBM data acquisition system of the project under construction in real time, and substituting the FPI calculated by Formula (2) into Formula (1) to obtain the equivalent strength R.sub.ec of the TBM boring rock mass; and S2.2: estimating the integrity coefficient K.sub.v of the TBM boring rock mass in real time in a tunnel section with same lithology:
K.sub.v=R.sub.ec/R.sub.c Formula (4), wherein R.sub.ec is the equivalent strength of the rock mass calculated according to the model in Formula (1), and R.sub.c is strength of the intact rock mass of the project with same lithology measured by pre-sampling.
4. The method for real-time strength estimation, grading, and early warning of rock mass in TBM tunneling according to claim 1, wherein the grading standard and the early warning values are as follows: when the equivalent strength R.sub.ec of the rock mass is greater than 150 MPa, a second-level early warning value of extremely hard surrounding rock is given; when the equivalent strength R.sub.ec of the rock mass is greater than 200 MPa, a first-level early warning value of extremely hard surrounding rock is given; when the equivalent strength R.sub.ec of the rock mass is less than 30 MPa and the integrity coefficient K.sub.v is less than 0.35, a second-level early warning value of weak and broken surrounding rock is given; and when the equivalent strength R.sub.ec of the rock mass is less than 15 MPa and the integrity coefficient K.sub.v is less than 0.35, a first-level early warning value of weak and broken surrounding rock is given.
5. The method for real-time strength estimation, grading, and early warning of rock mass in TBM tunneling according to claim 4, wherein TBM boring rock mass grading and early warning are as follows: when R.sub.ec is 30-150 MPa, a surrounding rock grade is B-I, penetration is easy with a low risk, and no early warning is required; when R.sub.ec is 150-200 MPa, or R.sub.ec is 15-30 MPa and K.sub.v is less than 0.35, a surrounding rock grade is B-II, penetration is difficult or a risk of breakage is high, and a second-level early warning is given; and when R.sub.ec is greater than 200 MPa, or R.sub.ec is less than 15 MPa and K.sub.v is less than 0.35, a surrounding rock grade is B-III, penetration is extremely difficult or a risk of breakage is very high, and a first-level early warning is given.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The present disclosure is described in further detail below with reference to the drawings and specific implementations.
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DETAILED DESCRIPTION OF THE EMBODIMENTS
(10) The following clearly and completely describes the technical solutions in the embodiments of the present disclosure with reference to the accompanying drawings in the embodiments of the present disclosure. Apparently, the described embodiments are merely a part rather than all of the embodiments of the present disclosure. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present disclosure without creative efforts shall fall within the protection scope of the present disclosure.
(11) A flow block diagram of a method 10 for real-time strength estimation, grading, and early warning of rock mass in TBM tunneling provided by the present disclosure is shown in
(12) S1: A general relation model of equivalent strength R.sub.ec of the TBM boring rock mass and a field penetration index (FPI) is established as follow:
R.sub.ec=64.981n(FPI)−140.32(R.sup.2=0.9146) Formula (1).
(13) Determination steps of Formula (1) are as follows.
(14) S1.1: Intact rock mass boring data and geological data of the TBM on site are obtained: the intact rock mass boring data and geological data of the TBM tunnel project under different tunnel diameter scales and different rock types are acquired. The boring data includes cutterhead thrust and penetration which are used to calculate the FPI. The geological data includes rock uniaxial compressive strength (UCS).
FPI=F/n.Math.p Formula (2),
(15) where F is the cutterhead thrust, kN, P is the penetration, mm/r, and n is a number of tools.
(16) S1.2: Measured intact rock mass data at a project site is acquired, and a relation formula between the FPI and rock UCS is established using a mathematical regression method. The UCS of the rock mass is selected as the grading index of rock mass strength, and the rock UCS can be used as the UCS of the intact rock mass. Thus, a relation model of intact rock mass strength R.sub.c and the FPI can be obtained:
R.sub.c=64.981n(FPI)−140.32(R.sup.2=0.9146) Formula (3).
(17) At a step 12, S1.3: strength of the boring rock mass with difficulty of boring penetration equivalent to difficulty of boring penetration of an intact rock mass is defined as the equivalent strength R.sub.ec of the TBM boring rock mass (suitable for both the intact rock mass and the jointed rock mass), that is, the model in Formula (1) is obtained.
(18) S2: The model in Formula (1) is applied to TBM boring construction. The FPI is calculated according to boring parameters acquired by a TBM of a project under construction in real time. The equivalent strength R.sub.ec of the boring rock mass is calculated using the model in Formula (1). An integrity coefficient K.sub.v of the TBM boring rock mass is estimated combined with compressive strength of an intact rock mass of the project with same lithology measured by pre-sampling. This step specifically includes the following steps.
(19) At a step 14, S2.1: the FPI of the boring rock mass is calculated according to the boring parameters acquired by a TBM data acquisition system of the project under construction in real time. At a step 16 the FPI calculated by Formula (2) is substituted into Formula (1) to obtain the equivalent strength R.sub.ec of the TBM boring rock mass.
(20) At a step 18, S2.2: the integrity coefficient K.sub.v of the TBM boring rock mass is estimated in real time in a tunnel section with same lithology:
K.sub.v=R.sub.ec/R.sub.c Formula (4),
(21) where R.sub.ec is the equivalent strength of the rock mass calculated according to the model in Formula (1), and R.sub.c is strength of the intact rock mass of the project with same lithology measured by pre-sampling.
(22) At a step 20, S3: grading and early warning are performed on the TBM boring rock mass according to a given grading standard and early warning values based on the equivalent strength R.sub.ec and the integrity coefficient K.sub.v calculated using the model in Formula (1) in real time.
(23) The grading standard and the early warning values are as follows.
(24) When the equivalent strength R.sub.ec of the rock mass is greater than 150 MPa, a second-level early warning value of extremely hard surrounding rock is given.
(25) When the equivalent strength R.sub.ec of the rock mass is greater than 200 MPa, a first-level early warning value of extremely hard surrounding rock is given.
(26) When the equivalent strength R.sub.ec of the rock mass is less than 30 MPa and the integrity coefficient K.sub.v is less than 0.35, a second-level early warning value of weak and broken surrounding rock is given.
(27) When the equivalent strength R.sub.ec of the rock mass is less than 15 MPa and the integrity coefficient K.sub.v is less than 0.35, a first-level early warning value of weak and broken surrounding rock is given.
(28) Early warning is performed on the TBM boring rock mass according to the equivalent strength R.sub.ec of the TBM boring rock mass obtained in Formula (1), and specific grading and early warning are as follows.
(29) When R.sub.ec is 30-150 MPa, a surrounding rock grade is B-I, penetration is easy with a low risk, and no early warning is required.
(30) When R.sub.ec is 150-200 MPa, or R.sub.ec is 15-30 MPa and K.sub.v is less than 0.35, a surrounding rock grade is B-II, penetration is difficult or a risk of breakage is high, and a second-level early warning is given.
(31) When R.sub.ec is greater than 200 MPa, or R.sub.ec is less than 15 MPa and K.sub.v is less than 0.35, a surrounding rock grade is B-III, penetration is extremely difficult or a risk of breakage is very high, and a first-level early warning is given.
(32) A result calculated by the quasi rock mass strength method is compared with the estimated equivalent rock mass strength of the TBM boring rock mass in the present disclosure.
(33) The quasi rock mass strength (rock mass integrity coefficient correction method) is an empirical method to determine the strength of rock mass. Its essence is to use some simple test index to correct the rock strength as the estimated value of rock mass strength. The calculation formula is shown as follows:
(34)
(35) where σ.sub.cm is UCS of rock mass, σ.sub.ci is UCS of rock, V.sub.pm is an elastic p-wave velocity of rock mass, V.sub.pr is an elastic p-wave velocity of rock, and (V.sub.pm/V.sub.pr).sup.2 is K.sub.v, the integrity coefficient of rock mass. Structural planes such as joints and cracks are the main factors affecting the rock mass. The product of rock UCS and integrity coefficient (calculation of elastic wave velocity) is used as the estimated value of rock mass strength, which avoids many subjective factors. In addition, the method is simple.
(36) Taking the actual field data of a project in Northeast China and the HJ project as an example, the equivalent strength R.sub.ec of rock mass estimated by the present disclosure is compared with the calculation results of Empirical Formula (5) of quasi rock mass strength to verify the accuracy of the provided method. The comparison results and error analysis are shown in
(37) An error analysis formula is as follows:
(38)
(39) Selection of Project Data:
(40) Project in Northeast China (20 sets of data): granite; a UCS range of rock: 78-175 MPa; and an integrity coefficient of a rock mass (0.56-0.89).
(41) Project HJ (46 sets of data): migmatite; a UCS range of rock: 74-107 MPa; and an integrity coefficient (0.24-0.72).
(42) It can be seen from
(43) The accuracy of the present disclosure is verified by 5 specific application examples.
Example 1: Stake Number Sections of a Reservoir Diversion Project in Zhejiang Province: 15+916 to 15+716 (200 m)
(44) Lithology: breccia fused tuff
(45) Average compressive strength: 145 MPa
(46) Surrounding rock class of the tunnel section divided on site: Class II
(47) Actual rock mass conditions: the joint and crack of excavation face are not well developed, the structural plane is mainly closed, and the tunnel wall has excellent flatness. Surrounding rock integrity is excellent. There is no seepage. The self-stabilizing ability of surrounding rock in the unlined tunnel is strong. The surrounding rock at stake No. 15+870 to 15+760 and 15+732 to 15+726 is partially broken.
(48) Support mode: there is no support. Local broken parts are supported with the hanging net and sprayed with insufflate concrete.
(49) It can be seen from
(50) Under the same lithology, the ratio of the equivalent strength R.sub.ec of the rock mass to the strength R.sub.c of the intact rock mass (the average compressive strength under the lithology is taken here) is the integrity coefficient K.sub.v of the rock mass. Therefore, the equivalent strength of the rock mass and the integrity coefficient estimated based on the model in the present disclosure have the same change law. The surrounding rock at stake No. 15+875 to 15+860 and 15+737 to 15+728 is partially broken, and the corresponding integrity coefficient is small, ranging from 0.25 to 0.55. The integrity coefficient of rock mass under other stake numbers is higher, maintaining at least 0.55. Breccia fused tuff belongs to hard rock. The rock mass of surrounding rock class II is intact to relatively intact, and the integrity coefficient is at least 0.55. Therefore, the integrity coefficient K.sub.v calculated is consistent with the actual situation, and the changing trend of the integrity coefficient of surrounding rock is basically consistent with that of the actual rock mass condition.
Example 2
(51) Stake number sections of a diversion project in Guangzhou City: 23+847 to 23+716 (131 m)
(52) Lithology: granite
(53) Average rock strength: 118 MPa
(54) Surrounding rock class of the tunnel section divided on site:
(55) 23+847 to 23+765 (82 m): Class II
(56) 23+765 to 23+743 (22 m): Class III
(57) 23+743 to 23+716 (27 m): Class II
(58) Actual Rock Mass Conditions:
(59) 23+847 to 23+765 and 23+743 to 23+716: the rock is hard. The joint and crack of the excavation face are not developed, and the rock mass is intact to relatively intact. The surrounding rock is basically stable. The excavation face is dry.
(60) 23+765 to 23+743: the rock is hard. The joint and crack of the excavation face are developed, and the integrity of rock mass is poor. The surrounding rock is weakly differentiated and the local stability is poor. There is a small amount of dropping water locally.
(61) Support Mode:
(62) 23+847 to 23+765 and 23+743 to 23+716: there is no support.
(63) 23+765 to 23+743: the system bolt plus reinforced mesh are used, and concrete is sprayed.
(64) It can be seen from
Example 3: Stake Number Sections of a TBM Diversion Project in Xinjiang Uygur
(65) Autonomous Region: 51+887 to 51+700 (187 m)
(66) Lithology: tuffaceous sandstone
(67) Average rock strength: 100 MPa
(68) Surrounding rock class of the tunnel section divided on site: Class II
(69) Actual rock mass conditions: the crack of the excavation face is not developed. The rock mass is intact.
(70) Support mode: there is no support.
(71) The data of the intact tunnel section Class II is selected for analysis. It can be seen from
Example 4: Stake Number Sections of a TBM Diversion Project in Xinjiang Uygur
(72) Autonomous Region: 63+624 to 63+791 (167 m)
(73) Lithology: tuffaceous sandstone
(74) Average rock strength: 100 MPa
(75) Surrounding rock class of the tunnel section divided on site: Class IV
(76) Actual rock mass conditions: the rock mass is broken, with many cracks. The surrounding rock stability is poor.
(77) Support mode: the system bolt is used, and steel arch and reinforcement row are erected.
(78) As shown in
Example 5: Stake Number Sections of the Gaoligong Mountain Rail Tunnel on Dali-Ruili Railway: 225+504 to 225+410 (94 m)
(79) Lithology: granite
(80) Average rock strength: 53 MPa
(81) Surrounding rock class of the tunnel section divided on site:
(82) 225+504 to 225+419 (85 m): Class IIIa
(83) 225+419 to 225+410 (9 m): Class IVa
(84) Actual Rock Mass Conditions:
(85) 225+504 to 225+477: the surrounding rock is granite as a whole with the right side partially broken. The surrounding rock is weathered at 11 o'clock, the crack is relatively developed, and the groundwater is relatively developed. 225+477 to 225+419: the surrounding rock is granite as a whole with excellent integrity, the crack is not developed, and the groundwater is not developed.
(86) 225+419 to 225+410: the surrounding rock is granite as a whole with poor integrity, local strong weathering and quartz zone intrusion.
(87) Support Mode:
(88) 225+504 to 225+419: Local broken parts are supported with the hanging net and sprayed with insufflate concrete.
(89) 225+419 to 225+410: the system bolt is used, the reinforced mesh is hung, and concrete is sprayed.
(90) It can be seen from
(91) Through the verification of the above 5 typical application examples, it is found that the equivalent strength and integrity coefficient of TBM boring rock mass estimated by the general relation model in the present disclosure have excellent match with the actual rock mass conditions. It can be seen that the method for estimating the equivalent strength and integrity coefficient of rock mass provided herein is feasible.
(92) In summary, the present disclosure can estimate the equivalent strength and integrity coefficient of TBM boring rock mass online, understand boreability and a degree of breakage of the TBM boring rock mass in real time and intuitively, judge boreability of surrounding rock in time, and perform early warning of a risk that the TBM is stuck due to rock mass collapse, so as to prepare appropriate support measures in advance and ensure the smooth progress of the project.
(93) Many specific details are set forth in the above description to facilitate full understanding of the present disclosure, but the present disclosure may also be implemented in other ways different from those described herein, similar derivatives may be made by those skilled in the art without departing from the connotation of the present disclosure, and therefore, the present disclosure is not limited by the specific embodiments disclosed below.