Mô hình hóa tính toán vỏ chống đường hầm nhiều lớp, xây dựng trong khối đất đá không đồng nhất

Dgc truc tuydn tai:

TAp CHi KHOA HQC Kv THU4T

t{t

5e, xV +,

tHAttc

n',ro

' DIA CHAr

oB - 2017

MUc LUC
(UAV)
01. Nghien cr?u xay dqng m6 hinh 3D tu dfr lieu 6nh m6y bay kh6ng ngudi l6i
Bii Nggc Quf, Pham Vdn Hi€P
c6ng tiic
02. Ednh gi6 kh6 ning r?ng dgng m6y qu6t laser m{t tldt GeoMax Zoom 300 trong
hinh 3D m6 lQ thi6n ViQt Nam
Nguy6n Vi6t Nghia, Nguy6n Qudc Long, Vff Qudc LAp

thinh lip m6

dd khong tlbng nhdt
03, M6 hinh h6a tinh todn v6 chdng dudng hbm nhi6u ldp, xAy dqng trong khdi alet
A. S'

N',
Sammal
A.
Nguy6n Duyen Phong, Ding Trung ThAnh, Nguy6n XuAn Mln, Pakratrenl04. M6i li6n quan giira trhm rich .lC rri

vi

cdc hogt ttQng tAn ki6n t4o tr6n thung liing Sdng

Ei tlo4n tir

12

L9

Hda

Binh ddn Viet Tri
Nguydn XuAn Nam, L6 CAnh TuSn
BQ
05. D4c rlidm c6c thinh t4o nrii lira trong h$ thng Dbng Trhu khu vuc Bxc Trung
pham Dirc Lycrng, Ddng My Cung, Ph4m Ngoc D0ng, Biri Thd Anh, Cao Thi Thriy Binh, Ld Dinh Cuong, Luu Vdn
T'h5ng, Biri Thanh VArr, Phirng XuAn QuAn, DO Vin NhuAn

phia nam tlbng bing
06. Nghien cr?u hi€n trqng vir di6n bidn xdm nh{p m{n virng ven bidn

bic

bQ

trong

35

51

bdi cinh bidn tldi khi hdu
NguyOn Ngoc Trwc

Thanh
07. M0 hinh dtr b6o 6 nhi6m bui vi khdng khi cho m6 qu{ng titan sa khofng
Phfc
Nh*
Vin
Hoa,
Thu
Thi
L6
Hi6u,
Dinh
Vu
Nguy6n Ho)ng, Btri XuAn Nam,

Tim'Quing Tri
7L

08, X6c dinh nQi h,rc rtQng udn xodn trong dhm lQt sr,r cd
Dwong Dtrc Hitng

viQc trong ld chq khai

76

quan d6n ho4t il$ng khai th6c khoang
10. trng dgng m6 hinh DPSIR il6nh gi6 hiQn trqng m6i trudng li6n
B6i
s6n khu vuc Luc Y6n 'tinh Y6n
Hoa
Nguy0n Tht Cfrc, Nguy6n Phu'ong, Nguy6n Qudc Phi, Phan Thi Mai

B1

vfn chuydn dhu nhibu Parafin trong dibu kiQn tl{c thir & ti6n

94

gi6 khung GK khi
09, Nghian cr?u tf n dung va-t liQu ph6 thai ttd tSng tudi thg cfia

lim

thdc hg trAn
Nguy6n Phi Hi,rng, Ph4m Mqnh Tirng, Biti Manh Tirng, D6 Ven ViCn

11, Nghian crlru ho4t dong cria
doanh Vietsovpetro

tlulng

6ng

Ph4m Trung Sqn, L6 Van Nam
Nguyon tlo)i V!, Phan Diyc Tudn, Trhn Ngoc T6n, Nguy6n Vin Chung,

ldm nhq dung dich khoan
12. Nghi6n ciru sir dqng phq gia bQt thtrv tinh
'td
tlguyen Thi 'lhiy i,inh, L0 Vn QuAn,Vir Dirc ung, TriQu Hirng Trulng

101

khoan xien tllnh hudng bing phucrng phf p
13. phAn tich m6i tuong t6c vd tdng hqp lyc tren chodng trong

109

khoan Roto
Nguy0n Vdn Gi6P

14. Nghian cri,u

giii ph6p sr? dr;ng phhn mbm openwork

cho ph6p
Dwong Htrng Scrn, NguY6n Tidn D4t

ttd n?p tai liQu

chdn 2D vuqt qu6 dung luqng

'Iia

tL6


Available online at website: http://tapchi'humg.edu.vn

louRNAt oF MINING AND EARTH SCIENCES
Volume 58, Issue 4, 08 '20L7
TABLE OF CONTENTS
1. Research on 3D model from unmanned
Quy Ngoc Bui, Hiep Van Pham

aerial vehicle (UAV) images

2, Application of terrestrial laser scanner GeoMax Zoom 300 for 3D mapping of
Vietnam's open-pit mines

t2

Nghia Viet Nguyen, Long Quoc Nguyen, Lap Quoc Vu

3. Computational Modeling of Multi-Layer Lining for tunnel in heterogeneous soils
Phong Duyen Nguyen, 'l'lianh Dang Trung, Man Xuan Nguyen, Pakratrenko A,N', Sammal
A.S,

4, Characteristics of Da river sediments from Hoa Binh to Viet Tri area and
signifi cance for Neotectonic activity.

their

T9

25

Nam Xuan Nguyen, Tuan Canh Le

volcanic formations in Dong Trau formation
Luong Duc Pham, Cung My Dang, Dung Ngoc Pham, Anh The Bui, Binh Thuy Thi cao,

5, The

cuong Dinh Le,'l'hang Van Luu, Van Thanh Bui, Quan Xuan Phung, Nhuan Van Do
6, Status quo and clevelopment of saline intrusion in the southern Red River delta

in

climate change context
Truc Ngoc Nguyen, Duc Viet Vu
7. Forecast model of dust and air pollution for Thanh Tam placer Titanium - Quang Tri
Province
Hoang Nguyen, Nam Xuan Bui, Hieu Dinh vu, Hoa Thu Thi Le 1, Phuc Van Nhu
B, Determine the bend-twsting internal forces in inverted beams incidents
Hung Duc Duong
9. Using waste materials to increase GK frame support's longevity ages
Hung Phi Nguyen,'fung Manh Pham, Luong Huu Vu, Vien Van Do
10, Assessment the environmental status in Luc Yen District, Yen Bai Province using
DPSIR framework
Cuc Thi Nguyen, Phuong Nguyen, Phi Quoc Nguyen, Hoa Mai Thi Phan

51

60

7t
76
B1

transportation pipeline with high-Pareffin-content
oil in the specific operating condition of Vietsovpetro foin Venture

11. The study of the operation of

Vu Hoai Nguyen, Tuatt Duc Phan,'fan Ngoc Tran, Chung Van Nguyen, Son Trung Pham,
Nam Van Le

12. Study on using glass bubbles for reducing density of drilling mud
Linh Thuy Thi Nguyen, Quan Vu Le, Ung Duc Vu, Truong Hung Trieu

13. Analyze interactions ancl aggregate forces on the bits in directional drilling

101

by

109x

do

LL6

rotary drilling
Giap Van Nguyen

with very big trace value while Software application
not accept trace value over 10000

14, Loading ZD Seismic data

Duong Hung Son, NguYen Tien Dat


Tap chi Khoa hoc K! thuAt M6 - Eia chdt Tap 58, Ki' 4(2017) 19-24

'li.
Trang cliQn trlr: httpr//tap.t, i,l,u,,tg."ai,.uu

Md hinh h6a tfnh todn v6 chdng iludng hhm nhi6u l6p, xAy
dqng trong khdi ddt d6 kh6ng dbng nhdt
Nguy6n Duy0n Phong
A.N. 2, SammalA.S. 3

1-,

Ding Trung Thdnh

1,

Nguy6n XuAn Min

1,

Pakratrenko

t Khoa Xdy dung, Trvdng Eai hoc M6 - E1a chdt, ViAt Nam
T'rvdng Daihoc tdng hop c6ng ngh€ qudc gia Misis, CHLB Nga
:t Trvdng Eai hoc tdng hqp Tu Lq, CHLB Nga
z

IHONc

rrx ser eAo

Qud trinh:
NhAn b)i 15/7 /2017
Chdp nhAn 20 /8/201.7

Ding online 30/B/201.7
7.u'kh6a:
Lrng suat

Bidn dang
Ly thuydt d)n hbi

TOM TAT
Bdi bdo trinh bdy kdt qud nghiAn ciru vd dwa ra ldi gidi vE xdc dlnh trgng thdi
ftng sudt crta v6 ch6ng nhi6u l6p dd gia c6 cho dwdng hdm mdt cdt ngang
hinh trdn, xdy dwng trong khdi ddt dd khing dbng nhdt, Trong nghi€n c(ru
ndy, dd xem xdt diah churdn crta v6 chdng dwdng hdm vd dich chuydn cila

khdi ddt xun.q quanh dudng hdm duqc xem ld dich chuydn crta m6t he kdt
cdu th6ng ,lidt"'rd chdng rinibu top-indi ddt dd".'Vd chdng vd khdi ddtxung
quanh dwong hdm khi ldm vi€c dwoc xem ld mdt hQ duy nhdt trong h€ bi6n
" . chdng
' Y
' .h l6p-kh6i dA:t dd".
"v6
nhibu
dang
"
@ 2017 Tnrdng Dai hoc M6 - Eia chdt. Tdt cA c6c quybn dwgc biio dAm.

1.

Mo dhu

Trong linh vuc xAy dung c6ng trinh nghm, vdn
db nghidn ciru chdng giir ld h6t sirc quan trong vd

lu6n mang tinh thdi sq [V6 Trong Hing Phirng
Manh Dic 2008, Nguy6n XuAn M6n 1998), Tr€n
th6 gi6i cfrng nhu trong nu6c vdn db nghiOn ciru
tfnh todn v6 ch6ng nhibu l6p cdn chua nhi6u. Dd
c6 mdt sd t6c giA db cAp tdi vdn db ndy, nhung
chua dua ra ldi giAi c6 tinh kh6i qudt chung
[Nguy6n Quang Phich 2007, Nguy6n XuAn MAn
1998, Backlasov I.V,, Kartoria B.A. 1984, Bulutrev
N.S. 1994, Bulwtrev N.S., Ph0chiva N.N., Strensov
E.V. 1986), 1'rong m6t s6 b)i toen cria cdc t6c gi6
n6u tr6n di nghiOn cfru trOn co s& tinh todn v6

ch6ng tludng hbm c6 mdt cit ngang hinh trdn, xAy
rTdc
E

-

gid li€n h€
ma il :

dung trong kh6i ddt dd ducrc xem ld dirn hbi clbng
nhdt vir clSng hudng. Tuy nhi6n, vi6c x6c dinh

trang thdi fng sudt cira v6 ch6ng tludng hhm
nhi6u l6p, xAy dung trong khdi ctd khdng clbng
nhdt, khdng ding hu6ng cho tl6n nay v5n cdn
nhibu bdt cAp, chua c6 ldi giAi th6a d6ng, Chfnh vi
vfy, trong b)i viSt ndy nh6m tdc gi6 di xAy dung
thuat toen md ph6ng tfnh to6n v6 chdng dudng
hhm nhibu l6p, xAy dung trong khdi ddt d6 kh6ng
dbng nhdt. 0 dAy, khdi ddt d6 kh6ng dbng nhdt l)
do ydu t6 cdng ngh6 tao ra khi thi c6ng dudng
hhm.

Hi6n nay, m6t sd cdc c6ng trinh nghm giao
thdng A ViCt Nam nhu hhm HAi VAn, hhm Edo
Ngang, hhm & L)o Cai, mOt sd cdng trinh thriy di0n,
m6t sd gi6ng dirng & m6 than hhm ld virng QuAng
Ninh,,,, da thi6t kd v6 chdng c6 chibu ddy khd l6n,
Chfnh dibu d6 l)m ting kh6iluong

Nguyln Duy€n Phong vd nnk./Tap ch{ Khoa

vin

chuydn vd
t6i gi6
dAn
chdng,
tdng chi ptri vat li6u l)m k6t cdu
thi6t
chn
tnain mbt m6t hhm tucvng ddi cao. Do d6,
phAi nghiOn ciru tfnh to6n v6 chdng dd Idm giAm
c6c c6ng t6c diro hhm, xitc b6c

l6c ctripfricldn mirc t6i da me vAn dAm bAo dQ bbn
ve il6iiho l) ul6. Idm d6rp frng yOu chu k! thuat ve
kinh td trong linh vuc chdng giir c6ng trinh nghm'

hinh to6n hoc

2. M0

hqc

K! thult

146 -

d6 bi6n d4ng khdng tuy6n tfnh cldn thdi didm l5p
dr;ng k6t cdu chdng [Bulutrev N'S. 1994)'

'

-tfng

sudt tdng [Nguyen Duyen Phong 2016)
trong m6i l6p $[i--1, 2,...,1'l) c6 d4ng:

o(t)-o(l)(',)+6,r.*,o(ox')

Bulutrev N.S, 1994; Bulutrev N'S., Ph6chiva N'N',
Strensov E.V. 1986J, nh6m tdc giA dua ra m6 hinh
tinh to6n nhu tr0n Hinh 1' TrOn scv db cho thdy, d6
nghiOn cr-?u v6 ch6ng nhibu ldp da -tY dung cdc
rJnh gidi cta cAc l6p dugc gi6i han b&i c6c vdng
trdn dbng tAm [tAm l) g6c tqa d0 ban dhu)' So db
tinh tr6n Hinh 1 ducvc m6 ph6ng nhu sau:
- L6p b6n ngoiri ld vdng trdn Sr, c6 chiOu dity
vO cirng iOn lAibu nhy c6 duoc lmd hinh h6a khdi dii trong trang th6i tu nhi6n, v6i
ddc tinh bidn dang: mO dun bi6n dang Er, v) h6 s6
Possion tlr m6 hinh h6a khdi d5t d6 & trang th6i tu
nhi0n;

2,3,"., N) s6 m6 hinh h6a virng
ddt xAy dung trong kh6i ddt kh6ng dbng nhdt;
- Cdc

-

ldp

C6c

Si(i =

lop ti6p theo phia trong

Nr+2..., MJ s6

m6 hinh h6a cAc l6p

l0

N"+1'
v6 ch6ng cira

=

dudng hhm.

=2,3,.", N) tucvng r?ng c6 b6n kinh
lhn lucrt lir Ri(r= 1,",, MJ.VQt liQu trong m5i I6p c6
dflc tinh ri6ng vir bi6n dang khdng gidng nhau'
Trong trudng hcrp tdng qu6t, dic tinh bi6n dang
pi crlra ldp thrl r s6 litEi, 1ti(i = 1,',,,NJ, trong d6: E,
c[ra
Possion

h6
s6
v)
lhn lucrt lA m6 dun bi6n d4ng
ldp thir i. Ciic lop clucvc xem x6t l) c.irng bi6n dang
v) c6 duong ti6p xric giita hai l6p kb nhau l) Li[t =
1,..., A/-1), tr6n c6c dudng ti6p xirc lili = 1,"', N-1)
thoA min dibu ki6n li6n tuc ctia chuydn vi vd irng
C6c

l6p

Si(i

(2)

Trong (2): o(rX0 - irng sudt bd sung l6p thir t
v6i [i = 7,1, ....,N); 6 W hiQu tdt cic|cthdnh phhn
irng sudt; 6a' dugc x6c dinh nhu sau:
l
-''''^ =l',

TrGn co s& phAn tich cdc nghi6n ciru cria c6c

tAc gia (Backlasov l.V', Kartoria B'A' 1984;

Dla chdt 58 (4), 19-24

lo,

khi

i3l

n>m

0 dAy n = 1,2,'.., N; m = 1,2, .'., N'
Nhu vfy trong (2) irng sudt tdng bao gbm Ong
sudt bd sung vir frng sudt ban dhu'
Eibu kiOn gi6i han trOn bi6n ti6p xric Lili=7,
2,...,I}irng sudivi chuydn dich clucvc c6 dang tdng

qu6t nhu sau:
o(rxr+r) = o(r)(i) + },,,"*o!ox,); ui*t =
= 7, 2,..., N ; m =

Trong @): )" r,
^(n
duoc x6c dinh bing bi6u thirc:

khi

t,

ui
2,

"',

t4)
I'l) v d

n=m

, =)1,
t5)
'un'tn
lo, khi n + m
Tr0n hinh 2 bi6u di6n irng sudt b6 sung theo
phucrng b6n kinh tucrng irng vdi iry lqc
p,:ol')i')=o(1)('+r). Dua vdo ky hi0u 4,:l',r'of0lti1
tu do lAn cfn c6 chi sd
(i = 1,..., N-1) v) bi6n tidp xilc

chon ra hai l6p v6 chdng

i+f
ti [Hinh 2)'
Tir ngttiOn crlu sy

tucrng irng IA i va

cAn bing cira hQ, c6 th6
chon ra t6c dQng dd thay th6, loai b6 di l6p ndo d6
bing 6p luc ph6p tuydn. Ching hqn, ff6n bi6n Li'r
6p luc ia. aEng pi r c6 thd mO ph6ng tdc d6ng cria
t&p ioai b6 Si[i = 1,"', i'1)i!4S dQng I6p loai b6 phia

L

suAt.

Vong bi6n b6n ngo)i Lo

v)

b6n trong

Lrv

chiu

t6c clOnglruc tidp cua cAc t|c ddng b6n ngodi' TAc
dOng d6n c6c lcrp Si(r = 1, 2,'.,,Nr) trong trang th6i
tu nhi6n, thudng sinh ra tir quy trinh c6ng nghQ
ddo hhm v) ducvc m6 ph6ng b&i c6c th)nh phhn
r?ng sudt ban dAu:

(1)
(i =!,2,..,, N)
Trong d6: q- - h0 sd dibu chinh tinh todn l5p
dung l<6tiAu ch6ng tr6 tir biOn hhm vdi kh6i ddt

\ --*-**----

O(0)(/)-O(0X/):-TH'

\?'

db t{nh todn vd chdng dvdng hdm nhibu
lhp, xdy drTng trong khdi ddt dd kh6ng dbng nhdt'

Hinh

1. So


Nguydn DuyAn Phong vd nnk./Tap ch{ Khoa hpc K! thuQt Md - Dia chdt 58 (4),

ft+:id

(, -ru

...
-r
i

*

19-24
@' -t

21.

:;?n'')

=

P,u"l-,-(P,* 4,)

, ---------l---i-'

+t t

:G,

te)

hay:

Hinh 2. So db tfnh todn tvong tdc giira cdc lap

ldn cdn.

trong $[r = i+7,..., NJ cluoc m6 ph6ng bing 6p luc
phAn b6 dbu p,-r trOn bi6n Li*i,
Ap dqng cdc kdt qui nghiOn cfru [Nguyen
Duyen Phong 20L6, Bulutrev N.S., Ph0chiva N.N.,
Strensov E.V, 1"986J, sE xdc dinh dich chuydn tr6n
bi6n Li.r cria ldp thr? i cria S,(r=1,..., NJ chiu tAi (pir+qi r), s6

l):
|

,, _lJ

"'ilt'u-

2G,

,,

-ru,

p,

n'-(p.,., *?,., ) 41,

Ri'-4' o

,

t

4.,

'

lrr_r, ,p,4'-(tr,,,

*

!, ,)4'.,

-v,u) cluP,., -( I -2 F,*, + c?.,) ( p, + q,)\ =

=

+ c!)

fi\u-r':p,

, 1 p,*

o*)
't

L- R't4'

Gi

(6)

-2cl p, + r? ) p,

-

+

I -2

p,.,

+c,'z., )

x

(r -p,) ( p,.,+ 8,.,)

[g(]-"llr'

--t r-t ' -'
c (t-r,') t -z,ir,,*,?\*f
' lp,'
l+t-2(p,,,r+(., l

'

-G,u
Gi

(t-ci,)1t-p,1 t-2c?u, + c?
P'-'+r(-;i,'^q'- (10)

FA,i*m
(r-ci, )tr-u,)

(vF;*,*q''

Bidu thfrc [10J c6 th6 vi6t

I

p i *t:K

)

i.i

p i +K,,,

nit gon dudi

_, p, _r+Q,

dqng:
(1 1)

trong (11) c6c (;ihiQu dugcxdc dinh nhusau:

Ap dqng bi6u thirc (6) vdi chri;f ring:

p=

fi e

ufr;?.J(

))

n,": r11-u,1ril

)

t,-Ri'
,, _t )
-4'
2G'l (r,-r,,-4,,)&&',

"l'(1
)*

a

q,.,

Cudi cirng bi6u thfrc c6 thd vidt dudi dqng:

-G,*,

I

p,-2(t-w)(p,.,+

-w,u) c?, p,.' =

d

*l

l"--mr-

|

(0,-r, ,-q,.,)t

t.itfiP(t

pN= Qu= 0
Q)
Tu hai dibu kiQn [aJ c6 chf 1f d6n (6] va (z)

cho thdy: biSn dang cria hai l6p lAn cAn $ vi $rr
tr6n dudng ti6p xric fi l) b5ng nhau, do d6 c6 thd
qo=

vi6t:

''

K, ,

t ll-?1p, +c,')
=-:::---------;l :---=------:/
2(1-trt,,,)ci,l

'Jl;

(t-p,)

v

l\__,

E,

-l

,
+l-2ci1t",., +ci.,

i

----'----------'--

E,(1-v,*,)ci*,'

_ru,

p,R,'-(p,,*?,, )41,
o.*l

R,"'&', t,a) , @,-0,-q, ,)&1, ,
a
J
l- nl,.o; ''
r,

II
l

1,,-ru,

p,,n,','-(p,Jq,

dat

c,

l. 441_---

=4

K

,

ful

)4' 4*l

R,"-R:.,
I J
I (p,.,-p -q ) Rl_,R,

2c,.,

o =t-?4v,+1 o -G,t, \t-4,,)(1-v) ,
2(t-trt,*,)ci*,'' G, (t&,11t-*,y^u''''

I

)

(t=1,...,N-l) ; thaycivdo [B) tac6:

G, |-ci

oaay's':
Bidu

Gz)

6^ l-ci

thfc (11) vdi r=1 cluoc vi6t dudi

dang:

Pz=KttPr+K,,oPo+Q

[13)

Ndu chri:i d6n (7) thi [13) bidn ddi thAnh:

pz = Krrpr + Q, = Mrpr+

L,

(L4)


Nguydn Duy|n Phong vd nnk./Tqp ch{ Khoa hqc K! thuQt Md - Dia chdt 58 (4), 19-24

22

trong (14): Mz=Kti Lz=Qt
(15)
Sr? dung bidu thrlrc (14), [15) dua viro bi6u
thrlc (1 1), cho i = 2 tanhAn duoc kdt qui:
pr=K ,.rpr+ K:.t pt +Qz=

:

K

r., (M, p, + L, ) + K

r.,

p, +Q,

:M,

Ldm tucrng

tu nhu tr€n

Qr.

sC cho ta lhn

"

luot

c6c

pi(i =3,4,..,N-1), nhu sau:
pq = Kt.zpt * Kr,p, -t Qt = Kr.r(Mrp, + Lr) +

[18)
+Kr.^(Mrp,+I,)+ Qr= Mop,+ Lo

Mo= K.,rM.+
-: Kr,rMr;
trong (18): , " ,. ",
,. ': '; (191
ro=Kr.L.+Kr'Lr+Q,
thfrc (13)+(19) c6 thdvi6t dudi dang
tdng qu6t, cho ph6p bidu thi tdt cA gi5 tri dn sd
chua bi6t pi thdng qua p1 nhu sau:
Trong [20):

L,,(i=2,...,M

(201

t-l

M,:IK,-,,,M,;
i=2

(Zt)

L,=f K,-,.,M,*Q,-r'
t-1

Dd:i ddn (15) vA [12), ilua (21J vdo (20); chri
gi6 tri Mi, Li(i = 2,..., NJ vd trong (20J cho 1=
d6n
1i
N. ta nhAn duoc:
(22)

pu= Mupt*Lu.
Mdt kh6c, tr6n co s& (15) c6:
(23)
P*=M rP,+Lr=O

Tird6 nhAn duoc: p, = -4

MN

n2 tl

ao(,''''t) -Yo(,i'')
(26)

l.>
l,t"t
I

= --:-6(il'D
|
t

-z
-ti-t

= 1,2, .,, N,
Tir dAy, c6 thd x6c Clinh clucrc ring sudt trong
c6c l6p v6 chdng cfia cOng trinh nghm, kidm tra dO
bbn l6p tidp xric vd khA ning mang tAi cfia kdt c5u

c6ng trinh nghm bing c6ng thric [Guidelines on
design of underground excavations and supports
1eB3J:
71/

Cdc bidu

p,= M,pt+

l,

=

trong cl6: of'''''), o["" - frng sudt tidp tuydn
tr6n biOn ngoii Li-r vd bi6n trong li cira l6p thr? i [i

Mr=Kr.rMr*Kz,r)
" ''-,
trong (16):
,,
' L,, Kr.rL,
+
=

ol''')

i16)
p, +L,

'l-2

|

o['''-''

Q4)

Thay th6 [24) v)o [20) cho ph6p chring ta tfnh
to6n tdt cA cAc gi6 tri dn s6 pi(i = 2,..., 10,

Lrng sudt hudng kinh toAn phhn tr6n bi6n
ngodi Li"r vi bi6n trong Li cfra ldp thf i x6c dinh
nhu sau:

of')

=

+ol"')
o!t') -o!"')
bL; M = "t , "t bA, (27)

212\

-__-:___-_______i_

Trong (27): L=R.-R, =o"f t
"\.

diy kdt

cdu chdng b =

\

Sl
Ro)

-

chi6u

m; trong d6 o[r'); o5"r -

irng sudt b6n trong vd b6n ngoii v6 chdng theo
phuong ti6p tuydn.
Cudi ctrng bidu thfc (27) c6 dang:

(
,.|2R:L

,.4

N = -;l

----lTQo-- ,r0o
.|1,.I|.'II
l--

I l------

(

(

Ro'

.]

lD(1(o-1(r)
|

Ro' )
)

,,ni

rl
'>pzI
M = _:l _:- qo--------if 4o
lbiRn-n,;,
12l , Rr''",Ri '"1
l-.....tl-..-[Ro'R;)
|

.*R'
|,',*^i
)
qo&
4

n,- Qo&" 4 ^(, 4 )2 ,N, \r &' 2 ^ll,*lLl
'-4
ql

tv ----ut

l--

t-'-ut

...".-:

I
I

l.

[2s)
KhA

Trong d6: o'0''-'),

ol''" - irng

sudt hudng kinh

tr6n bi6n ngo)i li.r vA bi6n trong Li cira l6p

thf I [t

= I,2, ,,'M,

ttng sudt ti6p tr6n bi6n ducvc x6c dinh bing
bi6u thirc:

ning mang tai ducvc cl6nh gi6 bing bidu

thirc:

lNl<

N^S

(2e)

trong (29): N - luc phdp tuy6n tinh to6n, xdc
dinh tt bidu thfrc (28); NS - gi6i han khA ndng
mang tai theo hu6ng b6n kinh cira mit c6t kdt cdu
chdng, ducvc xric dinh nhu sau:


Nguydn Duy€n Phong vd nnk./Tqp ch[ Khoa h7c K! thudt Md - Dla chdt 58 (4), 19-24

'\

/

1/S = kR^A6l

.s^)

1-'"' l; k, =l;

e^

lul =l2l

^)

lNl

toiin tinh todn

Ap dung c6c kdt qui trinh bdy tr6n dAy nh6m
x6c dinh trang thdi irng sudt-bi6n dang
ctra kdt cdu c6ng trinh nghm nhibu l6p, xAy dung
trong kh6i dd kh6ng clbng nhdt theo thuAt to6n
gbm 7 budc nhu sau:
Bu6c 1. Cho th6ng s6 dbu vdo, gbm: N. - sd
ldp, m6 h)nh h6a cdng ngh6 ddt dA khOng clbng
nhdq N - t6ng qudt sd l6p, md h)nh h6a h0 th6ng
"v6 ch6ng nhibu ldp-kh6i ddt", lir sd nguy6ni Ri[r =
1,..., MJ - bdn kinh cdc l6p kdt cdu chdng (m); Et, 1ttt5c

'

gii di

R

=$:

K,

kh6ng clbng nhdt do cdng ngh0 xAy dung tao n€n.
4. Kdt

tritham

s6: q,

- Kdt quA nhfn tluoc tr) nghiOn ciru tr6n dAy
sfi dqng dd xiic dinh rlng sudt theo phuong
tidp tuydn vd r?ng sudt theo phucrng bdn kfnh vdi
quytrinh cdng ngh6 tldo hhm qua nhibu l6p ddt d6
khdng tlbng nhdt vd m6 ph6ng v6 chdng bing
nhibu l6p vdng trdn dbng tAm cho ph6p clSnh gi6
khA ning mang tAi cila k6t cdu v6 ch6ng cdng trinh
nghm,
- TrOn co s& nghiOn cfru n)y cl5 clua ra thuAt
to6n gbm 7 bv1c ldm ccv s& dd lfp trinh tfnh to6n

v6 chdng cludng hhm nhibu l6p mit c5t ngang
h)nh trdn, xAy dung trong khdi ddt kh6ng dbng
nhdt do c6ng ngh6 xAy dgng tao n6n c6 thd 5p
dung dd thi6t kd kdt cdu ch6ng c6ng trinh nghm

(r=1,...,N-1);

trong thuc t5,

n = nt

:X, ,^yHur

Tdi liQu tham khio

"''' -

f r, ^ t
|l\ lt-zc;ltt +

|
21

11r, , yq;

(

|

podzemnykh sooruzheniy

.

"1) + | -2ci

St,*,

.l

* .t,

-]

(;
1 -)rztt
+ r)
(r -c,1., ) 1t -p, ;
t':
O = --::-i-ri---:i- o'' -"
Qit.
2\l -lt , ,,)ci ,,
G, (r -c,1)1t -p,.,;cf,
I

voi

rinh:

K,,,., = -

i=

Baklashov LV., Kartoziya 8.A,, 1984, Mekhanika

7,2,..., N,

gffi$a

;v6i i =2,...,

N;

i

konstruktsii
krepey (Mechanics of underground structures
and support designs), Moscow, Nedra, 324 p.

;

Budc 5, Tinh:

v

lufn

clucvc

;dua ra gid
I :::
10, l
trnh gid tri.. ).,.,,= I

r

ThuAt todn gbm 7 bu6c tr6n clAy ld ccv s& d6
trinh tinh todn v6 ch6ng tlulng hhm nhibu ldp
mit cit ngang hinh trdn, xAy dung trong khdi cldt

; i=1,...,N;

G 1-r2

|

lAp

)

=*3.
U,*r_l-c*r

\,

.

o.2
n2.-1
ojl"'
'
" =4*ol''"-!*ou",
ci_,-l ol"l.=;':
l-";,
1".' ci,-l

Bvsc 4, GiA sir cr = 0, tfnh
c,-,

'

I

/'\)',
(tr =e'1,3"'/,,
.

|'"

o!'1,"

Bu6c 2. Xdc dinh gi6 tri di6u chinh - hO sd:

2(l+p,

; tinh: p, = M,pr+ L,

vd rlng sudt ti6p tuy6n tr6n biOn:

-

C,:=-5

MN

o'i'''lr,= p,-6 .r,*,yHv.r

ddc tinh bidn dang kh6i ddt trong trang th6i tu
nhi6n-m6 dr"rn bi6n dang (MPa) v) hQ sd Possion
phil hcrp; Ei, pi(i 2,..., NJ - m6 dun bi6n dang

(MPa) vir hO s6 Possion cria vAt li6u tung l6p kdt
cdu chdng, m0 h)nh h6a quy trinh c0ng ngh6 xAy
dung hhm trong tldt dd khdng dbng nhdt (i = 2,
3,..., /V-) vd k6t cdu ch6ng (i = N-+1, Nr+Z,..., M; y trong lucrng ri6ng trung binh cfra dd (MN/ms); H chibu sAu dit hhm (m); 1o - khoAng c6ch trC l5p
dung kdt cdu chdng tir gucrng hhm (m);

Budc3.Tfnh

LN

vdii=2,3,...,N;
Bv6c7, X6c dinh ring sudt b6n kfnh tr6n bi6n
ngodi li.r vi bi6n trong Li:
o:"-'' I r ,= pi-r-6,,". ,"fHc- .

l6ch tAm theo luc doc N.

3, Thu4t

p,:

Bu6c 6. Tfnh:

d0

,

Bulychev N,S., 1994, Mekhanika podzemnykh
sooruzheniy: Uchebnik dlya vuzov. 2-e izd.
[Mechanics of underground structures:

Textbook for high schools, Znd edition),
Moscow, Nedra, 382 p.

Bulychev N.S., Ph6chiva N.N., Strensov E.V., 1986.
Design and calculation of the support of the
capital workings. Moscow. Nhedra.-2BB p.


24

Nguyln Duy€n phong vd nnk./Tap ch{ Khoa

Nguyen Duyen Phong, 2016' Design liningtunnels

"

undergtound Ho Chi Minh city [Vietnam)
based on the research of equilibrium state of
(support-array>' No 3, Moscow' Gornaia
knhiga, P 45-54'

Nguy6n Quang Ph(ch, 2007' Co hoc dd, Nh) Xudt
bAn XAy dung, Hd NOi'
XuAn Mdn, 1998' Tinh to6n k6t cdu ch6ng
Nguy6n
"
grir c6ng trinh nghm. Bdi gidng cao hoc, dai hoc
M6-Dia chdt, H) NOi' - 90 trg'

hqc

K!

thuQt M6

'Dia chdt

58 (4)' 19'24

Rukovodswo po proektirovaniyu podzemnykh
gornykh vyrabotok i raschetu krepi, 1983'
VNItttt, VNIIOMShS Minugleproma SSSR
(Guidelines on design of underground
excavations and supports. VNIMI, VNII0MShS,
USSR Ministry of Coal Industry), Moscow,
Stroyizdat, 273 P'
dd
Vd Trong Hing, Phirng M4nh Eic, 2008' Co h7c

xAy dwng c\ng trinh nghm vd
pnai tnai md. Nhd xudt bin Khoa hoc kf thu0t,
Hd NQi.460 trg'

irng dung

tong

ABSTRACT

in

Computational Modeling of Multi-Layer Lining for tunnel
heterogeneous soils

t,
phong Duyen Nguyen t, Thanh Dang Trun-gr, Man Xuan Nguyen Pakratrenko A'N'2'
SammalA.S.3
1 Faculty of Civil Engineering, Hanoi Ilniversity of Mining and Geology, Vietnam

zNationatb'*','iL'{:;|[L'f

,l!!,,[i,'!:::,::{Misis'Russian
explairation on prestress condition of multi-layer
The article presents the study results and gives the
study'
tunnels, which built in heterogeneous soils' In this

lining in order to reinfbrce circular .rorr-r..tiJn
soil massaround the tunnel are- united support system
the displacemont of tunnel multi-layer lining and
,,multi-layer lining - soil mass". The supporiing jackets and.surrourding soil mass are considered as the
mass".
only in aerormauL system of " multi-layer lining soil
tunnel lining, stress, strain, elasticity theory'
Keywords:massif soil, technological heterogeneity,