The trade-off between volumetric and topographic structure for seismic traveltimes: 660 km topography and mantle structure

SUMMARY Synthetic body-wave traveltime inversion experiments were performed to evaluate the effect of unmodelled 660km discontinuity topography on the inference of aspherical, volumetric mantle structure. Synthetic residuals were computed for S waves refracted through a 660 km discontinuity with topography. We employed a spherical harmonic parametrization for lateral variations of the topography of the 660 km discontinuity and the mantle velocity structure. the radial dependence of the velocity structure in the mantle was parametrized in two ways: smooth Chebyshev polynomial functions and uniform shells. the results of both para-metrizations show that significant smearing of the input topographic signal appears in the models of volumetric mantle structure inferred from the synthetic data. Solving for higher order radial structure with the smooth Chebyshev functions reduces the smearing, but resolution is limited to the half-wavelength of the radial basis functions. More of the input synthetic residual variance is absorbed into the solution for volumetric structure by solving for higher order radial structure with smooth polynomials or with thinner shells directly below 660km depth. However, fundamental differences between the kernels for volumetric and topographic structure restrict recovery of the input signal to approximately 80 per cent. This work points to the possible value of relating volumetric and topographic structure when inverting seismic observations. This may be addressed by incorporating geodynamic modelling and mineral physics results into the modelling of seismic observations.

[1]  A. Rodgers,et al.  Can the differential sensitivity of body wave, mantle wave, and normal mode data resolve the trade-off between transition zone structure and boundary topography? , 1994 .

[2]  P. Shearer Global mapping of upper mantle reflectors from long-period SS precursors , 1993 .

[3]  A. Rodgers,et al.  Inference of core-mantle boundary topography from ISC PcP and PKP traveltimes , 1993 .

[4]  E. R. Engdahl,et al.  Step-wise relocation of ISC earthquake hypocenters for linearized tomographic imaging of slab structure , 1992 .

[5]  K. Creager,et al.  Effects of earthquake mislocation on estimates of velocity structure , 1992 .

[6]  Domenico Giardini,et al.  The Global Seismic Hazard Assessment Program , 1992 .

[7]  Chester J. Koblinsky,et al.  Oceans and climate change: The future of spaceborne altimetry , 1992 .

[8]  G. Masters,et al.  Upper mantle structure from long-period differential traveltimes and free oscillation data , 1992 .

[9]  J. Vidale,et al.  Upper-mantle seismic discontinuities and the thermal structure of subduction zones , 1992, Nature.

[10]  P. Shearer,et al.  Global mapping of topography on the 660-km discontinuity , 1992, Nature.

[11]  Peter M. Shearer,et al.  Imaging global body wave phases by stacking long‐period seismograms , 1991 .

[12]  Thomas H. Jordan,et al.  Mantle layering from ScS reverberations: 2. The transition zone , 1991 .

[13]  T. Jordan,et al.  Mantle layering from ScS reverberations: 3. The upper mantle , 1991 .

[14]  Peter M. Shearer,et al.  Constraints on upper mantle discontinuities from observations of long-period reflected and converted phases , 1991 .

[15]  Walter H. F. Smith,et al.  Free software helps map and display data , 1991 .

[16]  B. Kennett,et al.  Traveltimes for global earthquake location and phase identification , 1991 .

[17]  Mark A. Richards,et al.  S‐P conversion from the transition zone beneath Tonga and the nature of the 670 km discontinuity , 1990 .

[18]  I. S. Sacks,et al.  Precursors to P′P′ re-examined using broad-band data , 1989 .

[19]  Hanneke Paulssen,et al.  Evidence for a sharp 670‐km discontinuity as inferred from P‐to‐S converted waves , 1988 .

[20]  D. Yuen,et al.  Deformation of the core‐mantle boundary induced by spherical‐shell, compressible convection , 1987 .

[21]  W. Peltier,et al.  Plate tectonics and aspherical earth structure: The Importance of poloidal‐toroidal coupling , 1987 .

[22]  Andrea Morelli,et al.  Topography of the core–mantle boundary and lateral homogeneity of the liquid core , 1987, Nature.

[23]  H. Paulssen Upper mantle converted waves beneath the Nars array , 1985 .

[24]  Robert W. Clayton,et al.  Lower mantle heterogeneity, dynamic topography and the geoid , 1985, Nature.

[25]  B. Hager,et al.  Geoid Anomalies in a Dynamic Earth , 1984 .

[26]  Adam M. Dziewonski,et al.  Mapping the lower mantle: Determination of lateral heterogeneity in P velocity up to degree and order 6 , 1984 .

[27]  C. Froidevaux,et al.  Geoid heights and lithospheric stresses for a dynamic Earth. , 1984 .

[28]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .

[29]  V. E. Wood Table errata: Handbook of mathematical functions with formulas, graphs, and mathematical tables (Nat. Bur. Standards, Washington, D.C., 1964) edited by M. Abramowitz and I. A. Stegun , 1969 .

[30]  David M. Miller,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[31]  G. Backus Geographical interpretation of measurements of average phase velocities of surface waves over great circular and great semi-circular paths , 1964 .

[32]  E. Lavely,et al.  Long-period surface waves and mantle boundary undulations , 1994 .

[33]  Véronique Dehant,et al.  The response of a compressible, non-homogeneous Earth to internal loading: Theory. , 1991 .

[34]  Yosihiko Ogata,et al.  Whole mantle P-wave travel time tomography , 1990 .

[35]  Robert W. Clayton,et al.  Constraints on the Structure of Mantle Convection Using Seismic Observations, Flow Models, and the Geoid , 1989 .

[36]  A. Dziewoński,et al.  The harmonic expansion approach to the retrieval of deep Earth structure , 1987 .

[37]  Paul G. Richards,et al.  Quantitative Seismology: Theory and Methods , 1980 .

[38]  Freeman Gilbert,et al.  The Effect of Small, Aspherical Perturbations on Travel Times and a Re-examination of the Corrections for Ellipticity , 1976 .