A kind of torus tunnel blind pipe three dimensional seepage model
Technical field
The present invention relates to a kind of torus tunnel blind pipe three dimensional seepage models, belong to Geotechnical Engineering field.
Technical background
China is the country on mountain more than one, and mountainous region area accounts for 2/3rds or more, hydraulic and hydroelectric engineering, highway engineering,
In Environment in Railway Engineering Construction, generally require to build a large amount of tunnel.It can all be handed over underground water in the whole life cycle of subterranean tunnel
It mutually influences, tunnel can change groundwater occurrence environment, and underground water can then influence tunnel lining stability, or even cause lining cutting
It destroys.For the tunnel under the conditions of phreatic high, the external water pressure for acting on tunnel lining is very big, when tunnel lining is by full envelope
When stifled waterproof construction design, lining thickness and reinforcing bar configuration are very big, and quantities is huge, less economical.It therefore, can be along tunnel
Axis direction is uniformly arranged circumferential blind pipe, and the external water pressure of tunnel lining is acted on by being reduced to the discharge of underground water.
For the tunnel of the circumferential blind pipe of setting, computer can be utilized to establish the tunnel computation model containing circumferential blind pipe,
The external water pressure and displacement that act on tunnel lining are determined by carrying out Seepage.Usually only due to blind pipe diameter
Several centimetres, differ larger with tunnel size, and entirely the scale minimum of computation model is up to hundred meter levels, maximum reachable km grade is even
More than km, this brings huge difficulty to the foundation of three dimensional seepage model.
It is directed to the tunnel seepage calculation containing blind pipe in the past, usually establishes Rock And Soil finite elements mould using computer software
Type, for circumferential blind pipe simulation there are mainly two types of method:
It is a kind of to think that the infiltration in tunnel be completely exhausted out by circumferential blind pipe in time, using entire lining cutting inner surface as seepage flow
The spilling boundary of model, namely think that lining cutting is completely permeable, this is not inconsistent actually with scene.In reality the behind of lining cutting according to
Secondary is splash guard, circumferential blind pipe, preliminary bracing concrete, and lining concrete itself is water-proof concrete, and the setting of splash guard
So that seepage flow does not drain for lining cutting itself, underground water is drained by blind pipe.Using entire lining concrete inner surface as excessive
Go out boundary without the characteristic of really reflection flow model in porous media, necessarily leads to the deficiency of computational accuracy.
Another kind is to seek macro equivalent method, the direct simulation physically to the progress of circumferential blind pipe is avoided, as long as simulation
Go out " drainage effect ", is similar to the analogy method in tunnel drainage hole, such as bar unit method, with Guan Daikong methods and to stitch Dai Kongfa,
Advantage is hardly to increase calculation amount, but by " equivalentization " accuracy constraint, computational accuracy is insufficient.
Invention content
Technical problem to be solved by the invention is to provide a kind of rock torus tunnel blind pipe three dimensional seepage model, with gram
Take the deficiencies in the prior art mentioned in background technology.
The technical solution adopted by the present invention to solve the technical problems is:
The present invention is a kind of torus tunnel blind pipe three dimensional seepage model, which builds by the following method:Tunnel serves as a contrast
It builds external seepage flow rock mass and uses space circle ring body, while blind pipe circle spilling boundary is equivalent to rectangle and overflows boundary.
Wherein, which is made of Grouting Circle annulus rock mass, far field annulus rock mass, corresponding infiltration coefficient be respectively kg,
kr;It is kept between Grouting Circle annulus rock mass and far field annulus rock mass continuous;The inside radius r of Grouting Circle torus1For tunnel lining
Outer radius, the outer radius of Grouting Circle torus is rg;Far field annulus rock mass inside radius is rg, outer radius r2, r2For far field half
Diameter is equal to phreatic line to tunnel center of circle height H.
Further, boundary end circular loop body is overflowed for no blind pipe at hole axis direction both ends, no blind pipe overflows boundary
Between end circular loop body by have blind pipe overflow boundary torus and without blind pipe overflow boundary torus alternating continuous arrangement combine and
At;There is blind pipe to overflow length b of the boundary torus in hole axis direction and takes 0.5~1 times of blind pipe cross section perimeter;Blind pipe center edge
The spacing in hole axis direction is L, and it is L-b that no blind pipe, which overflows length of the boundary torus in hole axis direction,;Without blind pipe bleeding edge
Length of boundary's end circular loop body in hole axis direction is L/2-b/2.
Further, the boundary condition of the model by etc. head boundaries, overflow boundary, impervious boundary and form, wherein it is remote
It is H that annulus rock mass outer surface, which such as is at head boundaries, the head value,;Concrete lining outer surface is by impervious boundary, permeable boundary
Alternately continuous arrangement is composed;Circular spilling boundary is equivalent to rectangle and overflows boundary;Boundary is overflowed in hole axis direction
Equivalent length be b, take 0.5~1 times of blind pipe cross section perimeter;Length of the impervious boundary in hole axis direction be respectively L-b,
L/2-b/2。
The present invention is equivalent to rectangle bleeding edge by using rock space seepage flow torus, and by blind pipe circle spilling boundary
Boundary had not only been greatly reduced tunnel three dimensional seepage model complexity, but also has overflowed the valid true physical analogy in boundary to circumferential blind pipe so that
The tunnel three-dimensional seepage field solution of circumferential blind pipe, which is arranged, becomes convenient accurate, thus to obtain tunnel concrete liner outer rim is acted on
External water pressure, displacement, lining cutting periphery Wall Rock of Tunnel hydraulic gradient more tally with the actual situation.
Description of the drawings
Fig. 1 is the signal of torus tunnel blind pipe three dimensional seepage model;
Fig. 2 is torus tunnel blind pipe three dimensional seepage model boundary condition signal 1;
Fig. 3 is that torus tunnel blind pipe three dimensional seepage model boundary condition illustrates 2 (A-A sections);
Fig. 4 be blind pipe really overflow boundary be equivalent to rectangle overflow boundary signal.
Specific implementation mode
The invention will be further described with reference to the accompanying drawings and examples, but not as any limitation of the invention.
Please refer to Fig.1-4:The torus tunnel blind pipe three dimensional seepage model of the present invention it is overall by Grouting Circle annulus rock mass, it is remote
Field annulus rock mass is constituted, and corresponding infiltration coefficient is respectively kg, kr;It is kept between Grouting Circle annulus rock mass and far field annulus rock mass
Continuously;The inside radius of Grouting Circle torus is r1(outer radius of lining cutting), outer radius rg;Far field annulus rock mass inside radius is rg,
Outer radius is r2, r2For far field radius, it is equal to phreatic line to tunnel center of circle height H, specific as shown in Figure 1, Figure 2, Fig. 3.In Fig. 1,
Body 1 overflows boundary torus for no blind pipe, and body 2 is to have blind pipe to overflow boundary torus, and body 3 overflows boundary end circle for no blind pipe
Cylinder.In Fig. 3, boundary 1 is impervious boundary, and boundary 2 is permeable boundary, and boundary 3 is impervious boundary.
By Fig. 1, which is nothing at hole axis direction (coordinate system Z-direction) both ends
Blind pipe overflows boundary end circular loop body (body 3), and no blind pipe overflows between the end circular loop body of boundary by there is blind pipe to overflow boundary annulus
Body (body 2), boundary torus (body 1) is overflowed without blind pipe, and alternately continuous arrangement is composed.There is blind pipe to overflow boundary torus to exist
The length in hole axis direction is b, takes 0.5~1 times of blind pipe cross section perimeter;Spacing of the blind pipe center along hole axis direction is L, nothing
It is (L-b) that blind pipe, which overflows length of the boundary torus in hole axis direction,;No blind pipe overflows boundary end circular loop body in hole axis
The length in direction is (L/2-b/2).
The torus tunnel blind pipe three dimensional seepage model boundary condition by etc. head boundaries, overflow boundary, impervious boundary
Composition, specific as shown in Figure 1, Figure 2, Fig. 3.
Far field annulus rock mass outer surface be etc. head boundaries, head value be H.Concrete lining outer surface (namely Grouting Circle
Torus inner surface) it is composed of impervious boundary, permeable boundary alternating continuous arrangement.Boundary 2 shown in figure is to overflow
The cross section on boundary, blind pipe is generally circular, and radius is minimum compared with huge flow model in porous media size, thus can will be circular
It overflows boundary and is equivalent to rectangle spilling boundary so that the complexity of flow model in porous media is greatly reduced, specific such as Fig. 4 overflows boundary in hole
The equivalent length of axis direction is b, takes 0.5~1 times of blind pipe cross section perimeter;Boundary 1, boundary 3 are impervious boundary, in hole axis
The length in line direction is respectively (L-b), (L/2-b/2).
The specific application example of the above only present invention, the present invention also has other embodiments, all to use equivalent replacement
Or the technical solution that equivalent transformation is formed, it all falls within protection domain of the presently claimed invention.