Mathematical Geophysics

1. Front Matter

   Pages i-ix

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2. Seismology and Three Dimensional Structure of the Earth

   1. Waves in a 3-D Earth

      1. Low frequency seismology and three-dimensional structure — observational aspects

         • Guy Masters, Michael Ritzwoller

         Pages 1-30

      2. Free-oscillation coupling theory

         • Jeffrey Park

         Pages 31-52

      3. Surface waves in weakly heterogeneous media

         • K. Yomogida

         Pages 53-75

      4. On the connection between ray theory and scattering theory for surface waves

         • Roel Snieder

         Pages 77-84

      5. A hybrid solution for wave propagation problems in inhomogeneous media

         • Arie van den Berg

         Pages 85-116

   2. Large-scale inversion

      1. Elastic wavefield inversion and the adjoint operation for the elastic wave equation

         • Peter Mora

         Pages 117-137

      2. Subspace methods for large-scale nonlinear inversion

         • B. L. N. Kennett, P. R. Williamson

         Pages 139-154

      3. Imaging algorithms, accuracy and resolution in delay time tomography

         • W. Spakman, G. Nolet

         Pages 155-187

3. Convection and Lithospheric Processes

   1. Geomagnetism

      1. The determination of fluid flow at the core surface from geomagnetic observations

         • J. Bloxham

         Pages 189-208

   2. Mantle convection

      1. Long wavelength features of mantle convection

         • G. T. Jarvis, W. R. Peltier

         Pages 209-226

      2. Mean-field methods in mantle convection

         • Francesca Quareni, David A. Yuen

         Pages 227-264

      3. Infinite Prandtl number spherical-shell convection

         • Philippe Machetel, David A. Yuen

         Pages 265-290

      4. Lateral heterogeneity and the geoid: the importance of the surface kinematic constraints

         • A. M. Forte, W. R. Peltier

         Pages 291-323

   3. Postglacial rebound

      1. Lithospheric thickness, Antarctic deglaciation history, and ocean basin discretization effects in a global model of postglacial sea level change

         • W. R. Peltier

         Pages 325-346

      2. Non-uniqueness of lithospheric thickness estimates based on glacial rebound data along the east coast of North America

         • Masao Nakada, Kurt Lambeck

         Pages 347-361

   4. Thermomechanical processes in the lithosphere

      1. On the mechanics of plate boundary formation

         • S. A. P. L. Cloetingh, M. J. R. Wortel

         Pages 363-387

      2. Supercontinent breakup: effect on eustatic sea level and the oceanic heat flux

         • C. L. Angevine, S. R. Linneman, P. L. Heller

         Pages 389-399

4. Back Matter

   Pages 401-407

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The contributions to this book follow a topical trend. In several geophysical fields evidence is accumulating concerning the deviation of the earth's structure from radial symmetry. Seismology provides the most adequate resolution for revealing the earth's lateral inhomogeneity on a global to local scale. Lateral structure in the density distribution is also manifest in the earth's gravity field and in the geoid. Asphericity in physical parameters, generally supposed only to vary with the vertical coordinate, has a profound influence on geodynamics. The effects of these deviations from spherical symmetry concern in particular convection theory, post-glacial rebound and the dynamics of the lithosphere and upper mantle in general. At the 16th International Conference on Mathematical Geophysics which was held in Oosterbeek, the Netherlands, in 1986, the need was felt to present the state of the art. Several prospective authors were found interested to contribute to the present book. This Oosterbeek conference was one in a long series of topical conferences starting with the Upper Mantle Project Symposia on Geophysical Theory and Computers in the 1960s, and thence their successors, the conferences on Mathematical Geophysics, until the present.

• geophysics
• scattering theory
• seismology

• University of Utrecht, The Netherlands

  N. J. Vlaar, G. Nolet, M. J. R. Wortel, S. A. P. L. Cloetingh

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