soee2102 – geophysical field trip and tutorials malham tarn (north yorkshire) october 2009...
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SOEE2102 – Geophysical Field Trip and Tutorials
Malham Tarn (North Yorkshire)
October 2009
Refraction Analysis
Sebastian RostUniversity of Leeds
2009
Refracted Wave: ciz tan
ciz cos/
CDBCABrefrac TTTT
21
tan2
cos
2
V
izx
iV
z c
c
221 cos
sin2
cos
2
V
x
iV
iz
iV
z
c
c
c
122
2
1
cos2)sin1(
cos
2
V
iz
V
x
V
xi
iV
z cc
c
Snell’s Law2
1sinV
Vic
21
22
211cos
V
Vic
Different ways to express the refracted traveltime curve
12
cos2
V
iz
V
xT crefr
11
cos2sin
V
iz
V
ixT ccrefr
21
21
21
22
2
2
VV
VVz
V
xTrefr
irefr TV
xT
2
2
1sinV
Vic
21
32
211cos
V
Vic
1
21
21
21
22
cos2
2
V
iz
VV
VVzT
c
i
Intercept time
Crossover distance: Tdirect = Trefracted
21
21
21
22
21
2
VV
VVz
V
x
V
x crosscross
21
12
122
VV
VVzxcross Xcross > 2z