国土技術政策総合研究所資料

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1 TECHNICAL NOTE of National Institute for Land and Infrastructure Management No December 2009 National Institute for Land and Infrastructure Management Ministry of Land Infrastructure Transport and Tourism, Japan ISSN A proposal of the simple estimation method of the residual deformation of quay walls considering the effect of liquefaction during earthquake Masato YASUDA, Takashi NAGAO

2 No (YSK-N-198) * ** Fax m-yasuda@ecoh.co.jp i

3 Technical Note of NILIM No.553 December 2009 (YSK-N-198) A proposal of the simple estimation method of the residual deformation of quay walls considering the effect of liquefaction during earthquake Masato YASUDA Takashi NAGAO Synopsis Two dimensional earthquake response analyses is a standard tool of seismic design of quay walls against the level-two earthquake ground motion. However, the computational load of the method is large. This study aims at proposing the simple estimation method of the residual deformation of quay walls considering the effect of liquefaction during earthquake. We conducted about 4500 cases of two-dimensional earthquake response analyses and studied the correlation among the deformation of quay walls and parameters obtained by the one-dimensional earthquake response analyses. We proposed the simple estimation method and confirmed that the accuracy by the proposed method was better than that by the other simple estimation method. Key Words: deformation, quay walls, liquefaction, one-dimensional earthquake response analysis * EX-Exchanging Researcher of Port Facilities Division, Port and Harbor Department ** Head of Port Facilities Division, Port and Harbor Department Kitaueno, Taitou-ku, Tokyo, Japan Phone: Fax: m-yasuda@ecoh.co.jp ii

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6 No.553 1) cm Ichii 2) m 2 1) LWL LWL m -1m -14.5m -16.0m (a) (b) -7.5m Vs=2183m/s Vs=300m/s Vs=300m/s Vs=300m/s s Case1 s Case2 S FLIP 3) S FLIP 4) 5) 4) -1m-14.5m-16.0m m -1m-14.5m-16.0m

7 Case1 Case2 (kn/m 2 ) (kn/m 2 ) (kn/m 2 ) (kn/m 2 ) ( ) S (m/s) (t/m 3 ) () () () () (m) Case1 Case2 Case1 Case2 Case1 Case2 Case1 Case2 p ' ( ) S 1 w 1 p 1 p 2 c

8 No.553 N S V S Imai (1) F c N 6) (2) LWL F c V S 8N /( N 9.21) 29.5 Vs=300m/s (1) (2) -7.5m SY295 SKY490 SHK490M =1 = ,75,100,150,200, 500 PGA 75 PGA (m) (m) 2 (m 4 /m) (m) (m 2 /m) 2 (m 4 /m) (m) (m) Case1 2.66E E SS E-03 Case2 2.59E E Case1 1E E E SS400 Case2 7.83E E E Case1 3.27E E SS400 Case2 3.18E E E-03 Case1 2.15E E NHT-490 Case2 8E E Case1 3.27E SS E E Case2 3.16E NHT E E Case1 5.32E E NHT E-03 Case2 4.52E E Case1 8.06E NHT E E Case2 6.31E NHT E E Case1 2E E E NHT-740 Case2 8.88E E E

9 1/4 1/2 1/2 1/4 1/ PGAGal No Hz No (Gal) (s) (Gal) (s) (Gal) (s) (Gal) (s) (Gal) (s) (Gal) (s) (Gal) (s) (Gal) (s) (Gal) (s) (a) 75 (Gal) (s) (b) - 4 -

10 No D 2m 1 2 PGA PGA (3)(10) R 2 PGA PGA (Gal) (a) 0 D (m) D (m) D (m) PGA (Gal) (c) PGA (Gal) (d) 3 PGA (3) D PGA (4) D PGA (5) D PGA (6) D PGA D (m) PGA (Gal) (b) 1 PGA D (m) PGA (Gal) (a) 0 PGA - 5 -

11 D (m) D (m) PGA (Gal) (b) PGA (Gal) (c) 2 PGA 75-1m 7) Case1 2 = =0 (m) D (m) PGA (Gal) (c) 3 PGA (7) D PGA (8) D PGA (9) D PGA 3 (10) 5 35 D PGA (m) (a) Case (b) Case2 _0 _2 _0 _2 _1 _3 _1 _3-6 -

12 No (11) T g 4H Vs 2 G ma Vs i i (11) (12) f f 8) (13)(20) R 2 PGA f T g H i i G ma T g T g T g (11) S (12) T g T g 0 D (m) f (Gal) (a) 0 (m) T g (s) D (m) _khk=0.10 khk _khk=0 khk _khk=0.10 khk _khk=0 khk _khk=0.15 khk _khk=5 khk _khk=0.15 khk _khk=5 khk f (Gal) T g 1 8) f (b) 1 f - 7 -

13 D (m) D (m) f (Gal) (c) f (Gal) (b) 1 D (m) f (Gal) (d) 3 f D (m) f (Gal) (c) f f f f 7 0 (13) D (14) D (15) 6 D (16) 6 D D (m) f (Gal) (a) 0 f D (m) f (Gal) (d) 3 f f f f 89 7 f 4 0 (17) D (18) D (19) D (20) D

14 No.553 f 7) 1-1m 0.15 Case1 2 1 xy - xy xy (kn/m 2 ) E-03 E E-03 E E xy xy y S (21) S (22)(29) R 2 S xy y (21) (21) xy 1 2 xy xy D (m) D (m) D (m) S (m) (a) 0 S (m) (b) 1 S (m) (c) 2 S - 9 -

15 D (m) S (m) (d) 3 S S 0 (22) D (23) D 05 S 2 (24) D S (25) D.892 D (m) 6 S S (m) (a) 0 D (m) D (m) S (m) (c) 2 S (m) (d) 3 S S S S S 0 (26) D (27) D (28) D (29) D.040 D (m) S (m) (b) 1 S S 1 P ex (30)(35)

16 No.553 R 2 P ex xy 84 1 ex 42 2 ex ex 1 (30) D.298 P 2 (31) D.385 P 3 (32) D.372 P D (m) P ex (a) 1 D (m) P ex (a) 1 D (m) P ex (b) 2 D (m) P ex (b) 2 D (m) P ex (c) 3 P ex D (m) P ex (c) 3 P ex

17 1 (33) D.431 P 2 (34) D.693 P 3 (35) D.370 P P ex f P ex S 1 p 8) 2 2m (36)(37) 69 D 10 k est 70 1 h h 1 h h Pex1 1 Pex S1 liq1 D est 10 SR hk liqr f g S 2 SR liq 2 p (36) (37) D est (m) f liqr 02 1 h h 1 h h Pex 1 1 Pex S1 04 liq1 SR k 97 hk liqr f g S 2 SR 02 3 ex 62 2 ex ex liq2 p liqr (cm/s 2 )ph liqi (m)(i=1i=2 )h liqr (5m)P exi Si (m) SR (5m) 1 D est m(-73131%) -73m(-66126%) (a) (b) D est

18 No.553 2) PGA 2 (38)(39) 93 Dest 10 g T T T T g 1 g R D est W H g 2 11 (38) (39) D est (m)pga(gal) WHh liq2 (m)h liqr (5m) H R (5m)BB R (5m)L 1,2 L R (5m)T gi (s)t gr (s) 2 D est2-01m(-94413%) m(-89323%) g R (a) 1 h liq 2 H hliq 2 hliqr 1 L1 LR L L T T T T 2 g R 77 k hk g1 g R H H R g 2 B BR g R (b) D est2 1 2 D est1 D est (a) D est2-13 -

19 (b) D est c s 02 1 h h 1 h h Pex 1 1 Pex S1 10 liq1 04 SR liqr k 97 hk S 2 f g liq (42 c g c s c g =97c s = SR liqr p D est /D (40) c c ( ) / (40) (41)(42) D est c g 70 1 h h 1 h h Pex1 1 Pex S1 10 liq1 69 SR liqr k hk S 2 f g SR liq liqr p (41) (a) (b) D est2_c 1 D est1_c m(-65199%)

20 No (a) (b) D est /D m(-55196%) PGA 1 2m 2m ) () ) Ichii, K, Iai, S,Sato, Y and Liu, H Seismic performance evaluation charts for gravity type quay walls, Structural Eng./Earthquake Eng., JSCE, Vol.19. No.1, 21s-31s, ) Iai, S., Matsunaga, Y. and Kameoka, T. Strain Space Plasticity Model for Cyclic Mobility, Report of The Port and Harbour Research Institute, Vol.29, No.4, pp.27-56, ) Liu Hanlong FLIP No ) 20 pp ) Soils and FoundationsVol42No.4pp )

21 23 pp ) 1 Vol.53App

22 553 D f p h liq h liq P ex P ex S 1 S 2 D est

23 D f p h liq h liq P ex P ex S 1 S 2 D est

24 553 D f p h liq h liq P ex P ex S 1 S 2 D est

25 D f p h liq h liq P ex P ex S 1 S 2 D est

26 553 D f p h liq h liq P ex P ex S 1 S 2 D est

27 D f p h liq h liq P ex P ex S 1 S 2 D est

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29 D f p h liq h liq P ex P ex S 1 S 2 D est

30 553 D f p h liq h liq P ex P ex S 1 S 2 D est

31 D f p h liq h liq P ex P ex S 1 S 2 D est

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33 D f p h liq h liq P ex P ex S 1 S 2 D est

34 553 D f p h liq h liq P ex P ex S 1 S 2 D est

35 D f p h liq h liq P ex P ex S 1 S 2 D est

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37 D f p h liq h liq P ex P ex S 1 S 2 D est

38 553 D f p h liq h liq P ex P ex S 1 S 2 D est

39 D f p h liq h liq P ex P ex S 1 S 2 D est

40 553 D f p h liq h liq P ex P ex S 1 S 2 D est

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42 553 D f p h liq h liq P ex P ex S 1 S 2 D est

43 D f p h liq h liq P ex P ex S 1 S 2 D est

44 553 D f p h liq h liq P ex P ex S 1 S 2 D est

45 D f p h liq h liq P ex P ex S 1 S 2 D est

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47 D f p h liq h liq P ex P ex S 1 S 2 D est

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49 D f p h liq h liq P ex P ex S 1 S 2 D est

50 553 D f p h liq h liq P ex P ex S 1 S 2 D est

51 D f p h liq h liq P ex P ex S 1 S 2 D est

52 553 D f p h liq h liq P ex P ex S 1 S 2 D est

53 D f p h liq h liq P ex P ex S 1 S 2 D est

54 553 D f p h liq h liq P ex P ex S 1 S 2 D est

55 D f p h liq h liq P ex P ex S 1 S 2 D est

56 553 D f p h liq h liq P ex P ex S 1 S 2 D est

57 D f p h liq h liq P ex P ex S 1 S 2 D est

58 国土技術政策総合研究所資料 TECHNICAL NOTE of N I L I M No. 553 December 2009 編集発行 C 国土技術政策総合研究所本資料の転載複写のお問い合わせは神奈川県横須賀市長瀬管理調整部企画調整課電話 :

国土技術政策総合研究所資料

国土技術政策総合研究所資料 TECHNICAL NOTE of National Institute for Land and Infrastructure Management No December 9 National Institute for Land and Infrastructure Management Ministry of Land Infrastructure Transport and Tourism,