Commit c706314f authored by thomas.forbriger's avatar thomas.forbriger
Browse files

[WP] (i20_gremlin_example): provide discussion of layer.pdf

parent 0adf09d0
......@@ -23,7 +23,7 @@ edit: flist; vim $<
clean: ;
-find . -name \*.bak | xargs --no-run-if-empty /bin/rm -v
-/bin/rm -vf flist
-/bin/rm *.inctex *.bak *.ps *.syg
-/bin/rm *.inctex *.bak *.ps *.syg *.pdf
%.syg: %.mod.cfg zforce.src.cfg
syg $^ $@ -P 200,200,100.,3.
......@@ -39,7 +39,7 @@ clean: ;
-Y "phase-slowness / s km\u-1" \
-S -A "normalized magnitude"
2lay.ps: 2laysyg.ps 2lay.fig
fig2dev -L eps 2lay.fig $@
layer.pdf: layersyg.ps layer.fig
fig2dev -L pdf layer.fig $@
# ----- END OF Makefile -----
......@@ -3,4 +3,38 @@ this is <README>
toy example for gremlin
-----------------------
============================================================================
layer.pdf
Reproduces the layer-on-halfspace example by Forbriger (2001, Figure III.11
on page 88).
A: The fundamental mode at large frequency approaches asymptotically
a constant slowness which is slightly large than the shear-wave slowness of
the layer. At small frequency it approaches a value slightly larger than
the shear-wave slowness of the halfspace. The frequency at which the
transition from the layer's slowness to the half-space's slowness
appears, is controlled by the thickness of the layer.
B: The first higher mode. The non-dispersive sequences (horizontal tangent)
of the higher modes compose the direct and the refracted body waves by
interference. Horizontal tangents appear at the body-wave slowness of
layer and half-space.
C: Slowness of the direct shear-wave in the layer.
D: Slowness of the direct compressional wave in the layer.
E: Slowness of the refracted shear-wave from the half-space.
F: Slowness of the refracted compressional wave from the half-space.
G: Leaky-modes which effectively are multiple reflections within the layer.
The reflected wave interfere constructively, while radiating energy into
the half-space. Already modes between E and F loose energy by radiation
of shear-wave energy into the half-space and are, for this reason, not
members of the set of normal modes.
============================================================================
References
----------
Forbriger, T., 2001. Inversion flachseismischer Wellenfeldspektren.
Dissertation. Universität Stuttgart. urn:nbn:de:bsz:93-opus-8610
----- END OF README -----
......@@ -8,7 +8,7 @@ Single
-2
1200 2
2 5 0 1 0 -1 100 0 -1 0.000 0 0 -1 0 0 5
0 2laysyg.ps
0 layersyg.ps
1035 1350 11830 1350 11830 8875 1035 8875 1035 1350
2 1 1 3 0 7 100 0 -1 10.000 0 1 -1 0 0 2
2700 3150 11925 3150
......
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