/2.
Turymbetov .A.
Doctor of
technical sciences
Caspian State
University of Technology and Engineering named after Sh. Yessenov
Tuyakbayeva ..
Ahmet
Yassawi International Kazakh-Turkish University
master student
Turkestan, Kazakhstan
The condition of directed every which
way tunnels in transversally-isotropic environment with not continuous coupling of
inclined layers elastic-creeping
Horizontal underground
cavities, in the form of diagonal developments depending on a direction of
their longitudinal axis concerning a line of spread of inclined layers subdivided into three groups: the
drift-cavities passed along line of
layers spread, the cross-cuts-developments put transversally of layers spread
and diagonal cavities-developments, intermediate between drifts and cross-cuts.
The intense and deformed
condition of these horizontal cavities except for a mutual arrangement, depth
location, and form of cross section depends also from elastic and creeping
properties of an environmental mountain massif.
The research of law of
distribution elastic & -creeping voltage and moving near to cavities of any
depth location and forms of section in dependence also from non-uniform -
cracked structures is not only theoretical interest, but also direct practical
meaning.
Directed every which way underground cavities
superficial location in heavy trans trope a file depending on degree
discontinuity flaw coupling of small
inclined layers at an angle φ when longitudinal
axes of cavities make any corner ψ with a line of
plane spread of the isotropy coinciding with a plane of cracks. We will
designate through depth location
developments with distance between their centers L.
Equation of the generalized
Guks law anisotropic massif with cavities at generalized flat deformation
concerning Cartesian system of Oxyz coordinates (see fig.1) enters the name as
; (1)
where, ,
- factors of
deformations determined by the formulas [1]:
(2)
Figure 1. The settlement scheme of studying of an
anisotropic massif tension
)Spatial kind; b) the generalized flat kind; c)a plane
with periodic system of cracks
In these formulas - effective elastic constants trans trope
massif equivalent on rigidity to an anisotropic massif with cracks, which
depend from elastic constants of the last and cracks geometry . [2-4].
By means of Z.S.Erzhanovs
rocks creep theory and a method of final elements in the conditions of the
generalized flat deformation laws of creeping pressure distribution and moving
near pair diagonal cavities in powerful creeping trans trope massif are
investigated.
Time processes (at t> 0)
near to underground cavities are caused by display of properties of creep of
surrounding rocks. For their research, involving main principles of the
Z.S.Erzhanovs creep rocks theory (2) resulted elastic constants and factors of Puasson are replaced with temporary
operator
, (3)
, - nucleus of a heredity.
As have shown laboratory
researches [5] creeping parameters anisotropic of mountain breeds a little bit
change in different directions.
Therefore in job
temporary operators are set as
, .
Then creeping
parameters of mountain breeds at commutative nucleus creeping are determined by
the formulas ;
creeping parameters of mountain breeds, time.
At account of the intense
condition of diagonal cavities in conditions isotropic display of properties of
trans trope mountain breeds creeping the meanings of temporary modules for
t=120 and t=600 are used, [2].
In a heavy untouched massif
the distribution of the basic voltage is represented by Dinnikov and with factors of lateral pressure by being functions
of elastic constant environment and corners φ, ψ.
By virtue of complexity of the
task strict decision about the intense condition diagonal cavities in a heavy
massif in conditions mountain breeds creeping, in this work is involved
numerical methods of the analysis of a Method of Final Elements with
isoparametric settlement elements at generalized of flat deformation.
The researched settlement area
with cavities automatically is broken on isoparametric elements with help of
the program FEM_3D in Delphi object-oriented environment. On each unit the
vertical force from weights works.
All component of moving are
represented as function from coordinates x, z of cross section of cavities.
The basic system of the
algebraic equations about 3N concerning moving components with N of units, with which help the
investigated area is broken into elements, is decided by an iterative method GaussSeidel method with factor of top
relaxation Previously program complex is tested on the
decisions of known test tasks.
The multivariate accounts on
calculation of voltage components near to cavities of vaulted cross section are
carried out at different parameters: depths of location corners φ, ψ and degree of
coupling of layers, which is defined through the periods of cracks.
The attention on law of
distribution a vertical voltage on the crosspiece - pillar between cavities and
on components moving and five components a voltage in points of contours pulled
together drift is especially removed (ψ=0).
The table 1 contains voltage
meanings and vertical moving in points of contours of cavities (see fig.2). The
numbering of cavities contours points numbers is shown in this figure.
The table 1. Meanings elastic - creeping vertical
moving and pressure in points gangue contours of cavities in a massif with not
continuous coupling of layers at
t=120 and t=600 =6
The left cavity |
t=120 |
t=600 |
||||||||
w/a=6.0 |
|
|
|
|
|
|
|
|
||
1 |
0,045 |
-0,610 |
0,001 |
0,000 |
0,071 |
-0,943 |
0,001 |
0,000 |
||
2 |
0,053 |
-0,588 |
0,001 |
0,001 |
0,082 |
-0,908 |
0,001 |
0,000 |
||
3 |
0,043 |
-0,514 |
0,000 |
0,001 |
0,067 |
-0,795 |
0,000 |
0,001 |
||
4 |
0,012 |
-0,420 |
0,000 |
0,001 |
0,018 |
-0,649 |
0,000 |
0,001 |
||
5 |
-0,013 |
-0,348 |
0,000 |
0,000 |
-0,020 |
-0,538 |
0,000 |
0,000 |
||
6 |
0,003 |
-0,251 |
0,001 |
0,001 |
0,005 |
-0,388 |
0,001 |
0,001 |
||
7 |
0,000 |
-0,113 |
0,001 |
0,000 |
0,001 |
-0,174 |
0,001 |
0,000 |
||
8 |
0,002 |
-0,248 |
0,001 |
0,001 |
0,002 |
-0,384 |
0,001 |
0,001 |
||
9 |
0,037 |
-0,348 |
0,000 |
0,000 |
0,058 |
-0,538 |
0,000 |
0,000 |
||
10 |
0,037 |
-0,409 |
-0,001 |
0,001 |
0,058 |
-0,632 |
-0,001 |
0,001 |
||
11 |
0,031 |
-0,499 |
0,000 |
0,001 |
0,048 |
-0,772 |
0,000 |
0,001 |
||
12 |
0,036 |
-0,575 |
0,001 |
0,000 |
0,055 |
-0,890 |
0,001 |
0,000 |
||
The right cavity |
t=120 |
t=600 |
||||||||
w/a=6.0 |
|
|
|
|
|
|
|
|
||
1 |
0,075 |
-0,591 |
0,002 |
0,000 |
0,116 |
-0,914 |
0,002 |
0,000 |
||
2 |
0,087 |
-0,582 |
0,002 |
0,001 |
0,134 |
-0,900 |
0,002 |
0,001 |
||
3 |
0,087 |
-0,526 |
0,000 |
0,001 |
0,134 |
-0,814 |
0,000 |
0,000 |
||
4 |
0,080 |
-0,443 |
0,000 |
0,000 |
0,124 |
-0,685 |
0,000 |
0,000 |
||
5 |
0,061 |
-0,373 |
0,000 |
0,000 |
0,094 |
-0,577 |
0,000 |
0,000 |
||
6 |
0,005 |
-0,267 |
0,000 |
0,000 |
0,007 |
-0,413 |
0,000 |
0,000 |
||
7 |
-0,008 |
-0,114 |
0,000 |
0,000 |
-0,013 |
-0,177 |
0,001 |
0,000 |
||
8 |
-0,003 |
-0,243 |
-0,001 |
0,001 |
-0,005 |
-0,375 |
0,000 |
0,001 |
||
9 |
-0,024 |
-0,336 |
0,000 |
-0,001 |
-0,036 |
-0,520 |
0,000 |
-0,001 |
||
10 |
-0,009 |
-0,396 |
-0,001 |
-0,001 |
-0,014 |
-0,613 |
-0,001 |
-0,001 |
||
11 |
0,023 |
-0,482 |
-0,001 |
-0,001 |
0,036 |
-0,746 |
-0,001 |
-0,001 |
||
12 |
0,052 |
-0,555 |
0,000 |
0,000 |
0,081 |
-0,858 |
0,000 |
0,000 |
||
Figure
2. Circuits of an arrangement of numbering of cavities contours
The analysis of the settlement
data shows about increase of vertical moving with reduction of parameter . The dependence of
vertical pressure from is essential, and influence of a corner of an
cracks planes inclination on sizes of pressure and moving is significant; their
distribution on contours of cavities is asymmetrical; on gangue contours of
cavities on the part of hanging sides the increase moving is observed, than on
the part of laying sides and such tendency in meanings of moving grows with
reduction of distance of the cavities centres.
THE LITERATURE:
1. Zh.S.Erzhanov,
Sh.M.Aitaliev, Zh..snv Stability of horizontal developments in
slantwise-flaky massif. Alma-Ata, "Science" z SSR, 1971.- 160p.
2. Zh.S.Erzhanov,
Sh.M.Aitaliev, Zh..ssnv Seismological-stress condition of underground
structures in anisotropic layered massif. Alma-Ata, "Science" , 1980.- 212p.
3.ssnv Zh.., Omarov .D., htv N.. Static and
seismological-stress of transport underground structures in anisotropic
vectorially nonlinear massif. Alma-Ata: Bastau, 2002.-244p.
4. itliv SH.., ssnv ZH.. Account of
mountain pressure in directed every which way horizontal
developments. // Mountain pressure in capital and preparatory developments.
Novosibirsk: 1973. - with 21-26.
5. Srsbv .., Siniyaev .Y., tvv V.P., udshv .F. About definition of elastic and temporary
deformations on layered samples // In .: "
Researches on the mechanics of mountain breeds ". Alma-Ata,
"Science" .-1965.-C.45-50.