SUMMARY

An inversion method is presented for the reconstruction of interface geometry between two or more crustal layers from teleseismic traveltime residuals. The method is applied to 2-D models consisting of continuous interfaces separating constant-velocity layers. The forward problem of determining ray paths and traveltimes between incident wave fronts below the structure and receivers located on the Earth—s surface is solved by an efficient and robust shooting method. A conjugate gradient method is employed to solve the inverse problem of minimizing a least-squares type objective function based on the difference between observed and calculated traveltimes. Teleseismic data do not accurately constrain average vertical structure, so a priori information in the form of layer velocities and average layer thicknesses is required. Synthetic tests show that the method can be used to reconstruct interface geometry accurately, even in the presence of data noise. Tests also show that, if layer velocities and initial interface positions are poorly chosen, lateral structure is still recoverable. The inversion method was applied to previously published teleseismic data recorded by an in-line array of portable seismographs that traversed the northern margin of the Musgrave Block, central Australia. The solution based on interface parametrization is consistent with models given by other studies that used the same data but different methods, most notably the standard tomographic approach that inverts for velocity rather than interface structure.

References

Achauer
U.
,
1994
.
New ideas on the Kenya rift based on the inversion of the combined dataset of the 1985 and 1989/90 seismic tomography experiments
,
Tectonophysics
,
236
,
305
329
.

Aki
K.
Christoffersson
A.
Husebye
E.S.
,
1977
.
Determination of the three-dimensional structure of the lithosphere
,
J. geophys. Res.
,
82
,
277
296
.

Benz
H.M.
Zandt
G.
Oppenheimer
D.H.
,
1992
.
Lithospheric structure of northern California from teleseismic images of the upper mantle
,
J. geophys. Res.
,
97
,
4791
4807
.

Bishop
T.N.
Bube
K.P.
Cutler
R.T.
Langan
R.T.
Love
P.L.
Resnick
J.R.
Shuey
R.T.
Spindler
D.A.
Wyld
H.W.
,
1985
.
Tomographic determination of velocity and depth in laterally varying media
,
Geophysics
,
50
,
903
923
.

Blundell
C.A.
,
1993
.
Resolution analysis of seismic P-wave velocity estimates using reflection tomographic inversion
,
PhD thesis
,
Monash University
,
Melbourne
.

Bowman
J.R.
Kennett
B.L.N.
,
1993
.
The velocity structure of the Australian shield from seismic traveltimes
,
Bull. seism. Soc. Am.
,
83
,
25
37
.

Chiu
S.K.L.
Kanasewich
E.R.
Phadke
S.
,
1986
.
Three-dimensional determination of structure and velocity by seismic tomography
,
Geophysics
,
51
,
1559
1571
.

Collins
C.D.N.
,
1988
.
Seismic Velocities in the Crust and Upper Mantle of Australia
,
Bur. Min. Resour.
,
Aust, Bull.
,
277
.

Evans
J.R.
,
1982
.
Compressional wave velocity structure of the upper 350 km under the Eastern Snake River Plain near Rexburg, Idaho
,
J. geophys. Res
.,
87
,
2654
2670
.

Fletcher
R.
Reeves
C.M.
,
1964
.
Function minimization by conjugate gradients
,
Comput. J.
,
7
,
149
154
.

Herrin
E.
Tucker
W.
Taggart
J.
Gordon
D.W.
Lobdell
J.L.
,
1968
.
Estimation of surface focus P travel times
,
Bull. seism. Soc. Am.
,
58
,
1273
1291
.

Hestenes
M.
Stiefel
E.
,
1952
.
Methods of conjugate gradients for solving linear systems
,
Nat. Bur. Stand. J. Res.
,
49
,
409
436
.

Hole
J.A.
,
1992
.
Nonlinear high-resolution three-dimensional seismic travel-time tomography
,
J. geophys. Res.
,
97
,
6553
6562
.

Hole
J.A.
Clowes
R.M.
Ellis
R.M.
,
1992
.
Interface inversion using broadside seismic refraction data and three-dimensional travel time calculations
,
J. geophys. Res.
,
97
,
3417
3429
.

Humphreys
E.D.
Clayton
R.W.
,
1990
.
Tomographic image of the southern California mantle
,
J. geophys. Res.
,
95
,
19 725
19 746
.

Kosloff
D.
Sherwood
J.
Koren
Z.
Machet
E.
Falkovitz
Y.
,
1996
.
Velocity and interface depth determination by tomography of depth migrated gathers
,
Geophysics
,
61
,
1511
1523
.

Lambeck
K.
,
1983
.
Structure and evolution of the intracratonic basins of central Australia
,
Geophys. J. R. astr. Soc.
,
74
,
843
886
.

Lambeck
K.
Burgess
G.
,
1992
.
Deep crustal structure of the Musgrave Block, central Australia: results from teleseismic travel-time anomalies
,
Aust. J. Earth Sci.
,
39
,
1
19
.

Lambeck
K.
Penney
C.
,
1984
.
Teleseismic travel time anomalies and crustal structure in central Australia
,
Phys. Earth planet. Inter.
,
1984
,
46
56
.

Lambeck
K.
Burgess
G.
Shaw
R.D.
,
1988
.
Teleseismic travel-time anomalies and deep crustal structure in central Australia
,
Geophys. J.
,
94
,
105
124
.

Lindsay
J.F.
Korsch
R.J.
,
1991
.
The evolution of the Amadeus Basin, central Australia
, in
Geological and Geophysical Studies in the Amadeus Basin, Central Australia
, pp.
7
32
, eds
Korsch
R.J.
Kennard
J.M.
,
AGPS
,
Canberra
.

Lutter
W.J.
Nowack
R.L.
,
1990
.
Inversion for crustal structure using reflections from the PASSCAL Ouachita experiment
,
J. geophys. Res.
,
95
,
4633
4646
.

McCaughey
M.
Singh
S.C.
,
1997
.
Simultaneous velocity and interface tomography of normal-incidence and wide-aperture seismic traveltime data
,
Geophys. J. Int.
,
131
,
87
99
.

McQueen
H.W.S.
Lambeck
K.
,
1996
.
Determination of crustal structure in central Australia by inversion of traveltime residuals
,
Geophys. J. Int.
,
126
,
645
662
.

Nowack
R.L.
Lyslo
J.A.
,
1989
.
Fréchet derivatives for curved interfaces in the ray approximation
,
Geophys. J.
,
97
,
497
509
.

Plumb
K.A.
,
1979
.
The tectonic evolution of Australia
,
Earth Sci. Rev.
,
14
,
205
249
.

Press
W.H.
Teukolsky
S.A.
Vetterling
W.T.
Flannery
B.P.
,
1992
.
Numerical Recipes in FORTRAN
,
Cambridge University Press
,
Cambridge
.

Sambridge
M.S.
,
1990
.
Non-linear arrival time inversion: constraining velocity anomalies by seeking smooth models in 3-D
,
Geophys. J. Int.
,
102
,
653
677
.

Sambridge
M.S.
Kennett
B.L.N.
,
1990
.
Boundary value ray tracing in a heterogeneous medium: a simple and versatile algorithm
,
Geophys. J. Int.
,
101
,
157
168
.

Sato
T.
Kosuga
M.
Tanaka
K.
,
1996
.
Tomographic inversion for P wave velocity structure beneath the northeastern Japan arc using local and teleseismic data
,
J. geophys. Res.
,
101
,
17 597
17 615
.

Tarantola
A.
,
1987
.
Inverse Problem Theory
,
Elsevier
,
Amsterdam
.

Walck
M.C.
Clayton
R.W.
,
1987
.
P-wave velocity variations in the Coso region, California, derived from local earthquake travel times
,
J. geophys. Res.
,
92
,
393
405
.

Wang
B.
Braile
L.W.
,
1996
.
Simultaneous inversion of reflection and refraction seismic data and application to field data from the northern Rio Grande rift
,
Geophys. J. Int.
,
125
,
443
458
.

Wells
A.T.
Forman
D.J.
Ranford
L.C.
Cook
P.J.
,
1970
.
Geology of the Amadeus Basin, Central Australia
, Bull. Bur. Miner. Resour. Geol. Geophys.,
100
.

White
D.J.
,
1989
.
Two-dimensional seismic refraction tomography
,
Geophys. J.
,
97
,
223
245
.

Williamson
P.R.
,
1990
.
Tomographic inversion in reflection seismology
,
Geophys. J. Int.
,
100
,
255
274
.

Zelt
B.C.
Ellis
R.M.
Clowes
R.M.
Hole
J.A.
,
1996
.
Inversion of three-dimensional wide-angle seismic data from the southwestern Canadian Cordillera
,
J. geophys. Res.
,
101
,
8503
8529
.

Zelt
C.A.
Smith
R.B.
,
1992
.
Seismic traveltime inversion for 2-D crustal velocity structure
,
Geophys. J. Int.
,
108
,
16
34
.

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