The first major global tomographic study was made by Professor Dziewonski
in early 70's. The idea of this study was that the travel time anomalies
observed for many ray paths, criss-crossing the Earth between various points
near the Earth's surface and reaching different depths in its interior, could
be resolved formally into a three-dimensional (3-D) model.
This is now called `seismic tomography', as it conceptually resembles the medical CAT-scan.
The early results were reported orally in 1974 and 1975 by Dziewonski and a full report
was published in January 1977 (Dziewonski et al., 1977). A more detailed description
can be found a
statement
written by Professor Dziewonski.
The motivation for studying 3-D structure of the Earth's interior
is that it may offer the best information on the dynamic processes
in the deep interior of the Earth. As the seismic wave speeds
change with temperature, it is plausible to obtain 3-D snapshots
of the convection pattern in the Earth. By performing waveform
and travel time inversions using long period seismic records,
we have obtained global models for the long wavelength 3-D velocity
structure of the Earth.
Active participants in this project are
Adam M. Dziewonski,
Göran Ekström,
Lapo Boschi,
Yu Gu,
Wei-jia Su,
and
Xian-feng Liu.
- An anisotropic S-velocity model of the upper mantle,
S20A , showing the unique character of the anisotropy of the
Pacific upper mantle.
- Xian-Feng Liu's Ph.D thesis:
The Three-Dimensional Shear Wave Velocity Structure of the
Earth's Lower-Most Mantle
(Compressed postscript file, about 200 pages, 11 MB)
and a few pages best viewed in color: Pages
44,
65-66,
70-78,
83,
85-90,
106,
172,
175.
- Liu & Dziewonski (1997) have derived a degree 16 model S16U6L8
by including the travel times of ScS-S, SS-S, S-SKS, SKKS-SKS other absolute travel time data
and waveform data in the inversion. The model is parameterized separately for the upper
mantle and the lower mantle using B-spline basis functions. The paper has been
submitted to CMB monograph.
You can download a hardcopy and
Figure 24 (color) here .
- MK12WM13 :
Simultaneous Inversion for 3-D Variations in Shear and Bulk Velocity
in the Mantle (Su & Dziewonski, 1997).
- Liu & Dziewonski (1994) have derived a global model SKS12_WM13 (in a format which is self-explained)
by including the travel times of ScS-S, SS-S, S-SKS, other absolute travel time data
and waveform data in the inversion.
- Su, Woodward & Dziewonski (1994) have derived a global model S12_WM13
by including the travel times of ScS-S, SS-S and other absolute travel time
data and waveform data in the inversion.
- Global travel time inversion using cubic B-splines parameterization, which makes an excellent compromise between the natural
smoothness of spherical harmonic and the reduction of free parameters
available by using cell-parameterized models for regional inversions.
- Topography of the 660 km discontinuity using long
period SS precursors (Gu, Dziewonski & Agee, 1997) .
- Topography of the 410 km discontinuity using long
period SS precursors (Gu, Dziewonski & Agee, 1997) .
- Joint inversion of waveforms and travel times using both body
waves and surface waves.
- How to use Harvard's 3-D Earth models? Now, you can download
source codes in order to use Harvard's recent Earth models.
These source codes are written in the industry standard language
C++ which is widely used among Harvard seismology group. We have
tested our codes for Sun C++ compiler 4.0 and GNU C++ compiler
2.6.3. You need to download files:
testmodel3D.cc,
model3Dlib.h, and
model3Dlib.cc. A brief introduction can be found
here.
- A list of 3-D earth models:
S16U6L8 (Liu, 1997, Ph.D thesis; Liu and Dziewonski, 1998),
S16VB14 (Liu, 1997, Ph.D thesis; Liu and Dziewonski, 1998),
S20U7L5 (Ekstrom and Dziewonski, 1997),
MK12WM13 (Su and Dziewonski, 1997),
SKS12WM13 )(Liu and Dziewonski, 1994),
S12WM13 (Su, Woodward and Dziewonski, 1994),
expansions of models
SKS12WM13 and
S12WM13 in terms of spherical B-splines.
Publications
Yu Gu Department of Earth and Planetary Science, Harvard University, copyright ©1997, all rights reserved
Last modified: Thu Feb 12 15:05:55 EST