GeoFem
1 1.1 1 1.2 1 1.3 1 2 2.1 2 2.2 3 2.3 FEM 5 (1) 5 (2) 5 (3) 6 2.4 GeoFem 7 2.5 FEM 16 2.6 19 2.7 26 3.1 33 3.2 35 3.3 GeoFem 36 3.4 48 3.5 49 A A1 A2 A3 A4 A5 A6 A7
GeoFem GeoFem CRS GeoFem GeoFem e-log p GeoFem
1) 98kPa G s (g/cm 3 ) ρ t (g/cm 3 ) w o (%) 2.7 1.503 79.4 2.30 e 0 C L FEM H 0 =20mm D=60mm CRS (%/min) (kpa) 0.02 98.0-2 -
e-log p C c - log p 98kPa C c p=170.6kpa 0.95 98kPa e log k e 2.5 2.0 1.5 1.0 0.5 0.0 (98kPa) 1 10 100 1000 10000 p (kpa) C c 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 (98kPa) 1 10 100 1000 10000 p (kpa) e-log p C c -log p 120 1.0E-02 p w (kpa) 100 80 60 40 20 (98kPa) k (cm/sec) 1.0E-03 1.0E-04 1.0E-05 (98kPa) 0 0 2 4 6 8 10 u y (mm) 1.0E-06 1.0 1.5 2.0 2.5 e e-log k - 3 -
c v m v 1.0E+05 1.0E-02 c v (cm 2 /day) 1.0E+04 1.0E+03 1.0E+02 (98kPa) m v (m 2 /kn) 1.0E-03 1.0E-04 (98kPa) 1.0E+01 1 10 100 1000 10000 p (kpa) 1.0E-05 1 10 100 1000 10000 p (kpa) log c v log p log m v log p p c (kpa) C c C s c v (cm 2 /d) m v (m 2 /kn) 98 0.90 0.05 104 4.1910-4 c v m v p c - 4 -
GeoFem C L 0.02%/min C L (3,2) 23 24 25 26 27 28 29 H 0 =20mm 19 20 21 22 12 13 14 15 16 17 18 8 9 10 11 1 2 3 4 5 6 7 (0,0) Unit:cm Node:29 D/2=30mm Element:6 GeoFem C L BOUN & FORC 23 24 25 26 27 28 29-5 -
IRT 315100 p c (kpa) 2) 3) 4) 5) ν M λ κ 6) e 0 η 0 0.333 1.20 0.391 0.022 2.30 0.25 7) α 1) v& 8) 0 K 0 φ c vx (cm 2 /day) c vy (cm 2 /day) 98.0 0.50 30 104 104 1) K 0 =1sinφ 2) ν =K 0 /(1+K 0 ) 3) M=6 sinφ (3sinφ ) 4) λ=0.434c c 5) κ =0.434C s 6) η 0 =(1K 0 )(12K 0 ) 7) α=0.434c α (1+e 0 )=0.4340.05C c (1+e 0 ) 8) v& 0 =α/t c t c =10 6 (day) - 6 -
GeoFem GeoFem GeoFem tf, mgf, cm gf, cm sec GeoFem - 7 -
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cm - 9 -
C L (0,2) (3,2) (0,0) (3,0) - 10 -
y x 0.02%/min 23 24 25 26 27 28 29-11 -
ν γ ρ λκ η v& 0 α ν γ ρ λ λ κ κ η η 0 = v& 0 α α α GeoFem p.76 GeoFem p.17p.18-12 -
GeoFem FEM3-13 -
2 TIME GeoFem FEM3 FEM TIME - 14 -
αβ αβ αβ GeoFem ε y y = H 0 100 = 0.02% / min y t H 0 2cm GeoFem y H0 2 4 6 y = 0.02 = 0.02 = 4.0 10 cm/min = 6.67 10 cm/sec 100 100-15 -
t e t H t e = 1 (2.1) H t s H t = H d (2.2) 0 t ms Hs = (2.3) ρ A s H t t cm H 0 cm d t t cm H s cm ρ s g/cm 3 ρ s 2.7g/cm 3 Acm 2 A=28.27cm 2 m s gm s 46.27g C L 23 24 25 26 27 28 29 19 20 21 22 12 13 14 15 16 17 18 8 9 10 11 1 2 3 4 5 6 7-16 -
e-log p FEM CRS GeoFem SI FEM CRS CRS FEM CRS 2.5 2.0 Void Ratio, e 1.5 1.0 0.5 0.0 FEM CRS 1 10 100 1000 10000 log p ' (kpa) FEM CRS e-log p 0.98kPa 100 Pore Water Pressure, p w (kpa) 80 60 40 20 FEM CRS 0 0 2 4 6 8 10 Displacement (mm) FEM CRS 0.98kPa - 17 -
FEM 0.98kPa10gf/cm 2 4.90kPa50gf/cm 2 e-log p 98kPa 500kPa FEM CRS FEM CRS e-log p e1.6, d t 4mm 2.5 2.0 Void Ratio, e 1.5 1.0 0.5 0.0 FEM CRS 1 10 100 1000 10000 log p ' (kpa) FEM CRS e-log p 4.9kPa 100 Pore Water Pressure, p w (kpa) 80 60 40 20 FEM CRS 0 0 2 4 6 8 10 Displacement (mm) FEM CRS 4.9kPa - 18 -
GeoFem GeoFem gf, cm, sec GeoFem - 19 -
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y y x 0.02%/min x 0.02%/min 23 24 25 26 27 28 29 23 24 25 26 27 28 29-21 -
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FEM CRS CRS FEM 2.5 2.0 Void Ratio, e 1.5 1.0 0.5 FEM CRS 0.0 1 10 100 1000 10000 log p ' (kpa) FEM CRS e-log p 100 Pore Water Pressure, p w (kpa) 80 60 40 20 0-20 FEM CRS 0 2 4 6 8 10 Displacement (mm) FEM CRS - 25 -
GeoFem gf, cm, sec GeoFem - 26 -
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FEM CRS FEM e-log p 2.5 2.0 Void Ratio, e 1.5 1.0 0.5 FEM CRS 0.0 1 10 100 1000 10000 log p ' (kpa) FEM CRS e-log p 100 Pore Water Pressure, p w (kpa) 80 60 40 20 0-20 FEM CRS 0 2 4 6 8 10 Displacement (mm) FEM CRS - 32 -
2m 18m H=5m p9.0tf/m 2 50 1200 1500 6.0m 3.0m 3.0m p2.7tf/m 2 5000 5300 3.0m 6.0m 3.0m p2.7tf/m 2 3.0m 0.0m H=5.0m =1.8tf/m 2 050day 0.0m H=5.0m =1.8tf/m 2 050day 0.0m H=5.0m =1.8tf/m 2 050day -2.0m -6.0m t =1.8t/m 3 t =1.5t/m 3-2.0m -3.0m 1200 1500day -2.0m 5000 5300day -6.0m =0.6t/m 3-20.0m -20.0m -20.0m (1) (2) (3) - 33 -
1m1m No.101, 102, 103 No.86, 87, 88 0.0m -2.0m -3.0m 101 102 103-6.0m 86 87 88 86 87 88-20.0m Node:103 Element:29 Material:3-34 -
p c =σ 0 IRT 313200 p c (kpa) OCR=1 2) 3) 4) 5) ν M λ κ 6) e 0 η 0 0.333 1.20 0.391 0.022 2.30 0.25 7) α 1) v& 8) 0 K 0 φ c vx (cm 2 /day) c vy (cm 2 /day) 0.0059 5.910-9 0.50 30 104 104 1) K 0 =1sinφ 2) ν =K 0 /(1+K 0 ) 3) M=6 sinφ (3sinφ ) 4) λ=0.434c c 5) κ =0.434C s 6) η 0 =(1K 0 )(12K 0 ) 7) α=0.434c α (1+e 0 )=0.4340.05C c (1+e 0 ) 8) 0 v& =α/t c t c =10 6 (day) - 35 -
GeoFem GeoFem GeoFem tf, mgf, cm tf, m day GeoFem - 36 -
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ν γ ρ λκ η v& 0 α ν γ ρ λ λ κ κ η η 0 = 6 v& 0 v& 0 = α / 10 α α α - 42 -
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GeoFem FEM3-45 -
ab αβ αβ GeoFem 0-2 -4-6 P v, P c ( tf/m 2 ) 0 5 10 15 20 0 3.6 9.6 γ t =1.8t/m 3 γ t =1.5t/m 3 GeoFem P v =1.8y P v =0.6+1.5y y (m ) -8-10 γ =0.6t/m 3 P v =6.0+0.6y -12-14 -16 P c =P v -18-20 18-46 -
0t50day p9.0tf/m 2 v0.18tf/m 2 /day 1200t1500 p2.7tf/m 2 v0.009tf/m 2 /day 5000t5300 p2.7tf/m 2 v0.009tf/m 2 /day GeoFem v (tf/m 2 ) 10 8 6 4 2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 t (day) (tf/m 2 ) 4.0 2.0 0.0-2.0-4.0 1000 2000 3000 4000 5000 6000 t (day) - 47 -
0.0-0.2 (day) 0 5000 10000 15000 20000 (m) -0.4-0.6-0.8 (tf/m 2 ) -1.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0 0 5000 10000 15000 20000 (day) - 48 -
c v 50 c v =104cm 2 /day 5200cm 2 /day P=9.0tf/m 2 P=6.0tf/m 2 0.0m H=5.0m =1.8tf/m 2 050day 0.0m 0.0m P=6tf/m 2 050day -2.0m t =1.8t/m 3-2.0m t =1.8t/m 3-2.0m t =1.8t/m 3 =0.6t/m 3 =0.6t/m 3 =0.6t/m 3 c v =104cm 2 /day 5200cm 2 /day c v =104cm 2 /day 5200cm 2 /day c v =104cm 2 /day 5200cm 2 /day -20.0m -20.0m -20.0m (1) (2) (3) - 49 -
50day 0.25m 350 400day 0.73m 400day450day 600day650day GeoFem 0.0-0.2 (day) 0 5000 10000 15000 20000 25000-0.4 (m) -0.6-0.8-1.0-1.2-1.4 050day P=9.0tf/m 2 50400day 400450day P=9.0tf/m 2 450600day 600650day P=6.0tf/m 2-50 -
[50 ] [350 ] [50 ] [150 ][50 ] 01000 FEM 0.0-0.2-0.4 (day) 0 5000 10000 15000 20000 25000 (m) -0.6-0.8-1.0-1.2-1.4 0.0 (day) 0 200 400 600 800 1000-0.2 (m) -0.4-0.6-0.8-1.0 01000-51 -
350 150 150 350 0.0-0.2-0.4 (day) 0 5000 10000 15000 20000 25000 150 350 (m) -0.6-0.8-1.0-1.2-1.4 150 0.0 (day) 0 200 400 600 800 1000-0.2 150 350 (m) -0.4-0.6-0.8-1.0 01000 150-52 -
1), pp.390-409, 2000. - 53 -