基礎地学I.ppt
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1 I I
2 7/26 8/9 2/ % 6/1 20% 70% 15% 30% 40% 15%
3 R=6400 km θ (S) θ/360 o =S/2πR (1) GPS (Global Positioning System) VLBI (Very Long Baseline Interferometry):
4 f=(a-b)/a a= b= a-b=21.4 km
5 high high
6 : f 1 =GmM/R 2 m M R G f 2 =mrω 2 r ω ω =2π/t
7 =GMm/(6.356*10 6 ) 2 (1) GMm/(6.378*10 6 ) 2 (2) = (2) = (2) m*6.378*10 6 *(7.292*10-5 ) 2 (3)
8 : F=mg=ks Δg=(k/m)*Δs k, s : x o v o x=1/2gt 2 +v o t +x o
9 =GMm/R 2 GMm/(R+h) 2 =3.1*10-6 h (m/s 2 ) h =1.13*10-6 h (m/s 2 )
10
11 Δg f Δg f =0 Δg f >0 Δg f <0 Sea level C 1 C 2 C 3 C 1 C 1 C 1 M 1 M 2 M 3 M 1 M 4 M 5 C 1 +M 1 =C 2 +M 2 =C 3 +M 3 C 1 +M 5 <C 1 +M 1 <C 1 +M 4
12 Δg b Δg b >0 Sea level Δg b <0
13 S N 11 o 6-7 o 9 o
14 7 o o 10
15 A. : vs t t=s/v 1 (t=s/v 2 +C) S: V 1 : V 2 : C: 6 km/s 7 km/s 8 km/s
16 Snell V 1, V 2 i r sin i/sin r = V 1 /V 2 (1) p o 5/10
17 B isostatic rebound 1000 m m
18 1 m2 h m h ρh ρgh 30 km, 2700 kg/m3 30*10 3 m*2.7*10 3 kg/m 3 *9.8 m/s 2 =7.938*10 8 [kg/m*s 2 ] F=mα [N]=[kg*m/s 2 ] 7.938*10 8 [N/m 2 ]= 7.938*10 8 [Pa]= 7.938*10 2 [MPa] 10 5 Pa=1 bar, 7.938*10 3 bar=7.938 kbar 1bar=1000 Pa= 1
19 1 km 920 kg/m3 15 km 2700 kg/m3 15 km 15 km 3000 kg/m3 15 km 5 km 3300 kg/m3 (5 +x) km 920*1+2700* *15+5*3300= 2700* *15+(5+x)*3300 X( ) 920*1=x*3300, x=279, 280 m
20 C P S 103 o P 143 o S 103 o 180 o
21 D P S
22 A P Vp S Vs Vp=SQRT[(κ+4/3µ)/ρ] Vs=SQRT[µ/ρ] κ µ ρ p κ Δ τ µ γ p Δ τ γ 70~100 km 70~100 km 250 km,
23 : 0~ km, 2.7 g/cm 3 (3.0 g/cm 3 ) 7 km): 2900 km 660 km 3.3 g/cm km Mg 2 SiO 4 (MgSiO 3 ) 6400 km 10 g/cm 3
24 C O Si Al Fe Ca Na K Mg
25 SiO 2 Al 2 O 3 FeO, MgO, CaO SiO 2 Al 2 O 3 MgO D CT
26 A
27 A 100 km
28 B C
29 Mg Fe D SiO 2 SiO 2 2 2
30 B SiO 2 Ca Na SiO 2, Na 2 O, K 2 O MgO FeO CaO Al 2 O 3
31 A SiO 4 Fe Mg Fe Mg SiO 4 Mg, Fe 2 SiO 4 isolated, (SiO 4 ) 4- (Mg, Fe)SiO 3 single chain (SiO 3 ) 2- (Mg, Fe) 7 Si 8 O 22 (OH) 2 : 2 single chain, (Si 4 O 11 ) 6- K 2 (Fe, Mg) 6 (Al 2 Si 6 )O 20 (OH) 4 sheet, (Si 4 O 10 ) 4- NaAlSi 3 O 8 framework (Si 3 O 8 ) 4-
32 B forsterite Mg 2 SiO 4 fayalite Fe 2 SiO 4 Mg Fe albite,naalsi 3 O 8 anorthite, CaAl 2 Si 2 O 8 NaSi CaAl albite K-feldspar, KAlSi 3 O 8
33 C C Al 2 SiO 5 D ~6.5 7
34 Ca CaFeSi 2 O 6 CaSiO 3
35 A
36 Q ΔT/Δz (k) Q = k(t 2 -T 1 )/(z 2 -z 1 ) = k(δt/δz) z 1 (m) T 1 ( o C) z 2 (m) T 2 ( o C) K(W/m*K) 2~3(W/m*K) Q(W/m 2 ) mw/m 2
37 A B C km D
38 A
39 B C 1 km 500 m 1-2 km, 5-6 km,
40 A 5-6 cm/y 2 cm/y Ma 1929
41 p
42 B 1930 C 35
43 A B km Na, K
44 C SiO 2 ~ H 2 O ~ 1300 o C 1000 o C, o C D
45 64 mm 2~64 mm 2 mm ~ ~ ~
46 10~100 km/
47 A >1 m/s B D P S P, T T=(D/V s )-(D/V p ) D=kT (k=6~8 km/s) V p P V s S C
48 D D ) M8 M M 32 M w M w M w E
49 A 700 km 400 km 200 km A
50
51 A 15~20 km M M B 200 p
52 A M ,800 B
53
54 A p. 52 CO 2 B V
55
56 A B U
57 A CaCO 3 + CO 2 +H 2 O = Ca(HCO 3 ) 2 B C D 1/32~1/4 mm
58 Al, Fe Al 25~20
59 A B C
60 D
61 A B
62 C D =2 -φ (mm) φ φ=4 1/16 mm φ=-1(2 mm)
63 A B C
64 D E F
65 A 10 km, 1000 km p. 62 B p. 79
66 A GPS(Global Positioning System) km 1 1 mm B GPS
67 A Al 2 SiO 5 50 km
68 A or or
69 B C
70 , 1 D E
71 A or 100 km HFU 20 o C/km 2HFU 30 o C/km P 15 km 30 km 15 km B 4000 p. 160
72 C m
73 A or o 30 o
74 B m
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