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Postseismic viscoelastic-gravitational half space computations: problems and solutions

AuthorsFernández Torres, José ; Rundle, J. B.
Seismic deformations
Mathematical Geophysics
Mineral Physics
Issue DateApr-2004
PublisherAmerican Geophysical Union
CitationGeophysical Research Letters, 31, L07608 (2004)
AbstractWe consider the problem of surface deformation arising from a fault in a semi-infinite, elastic-gravitational, and/or viscoelastic-gravitational, plane-layered medium, subject to an extemally imposed gravitational acceleration g. Rundle [1981, 1982] presented a calculation in which self-gravitation, represented by terms proportional to G are neglected, and the extemally imposed acceleration due to gravity, g, is considered constant in the medium. Because of the recent strong interest in cornputations of this type, we examine the assumptions involved in these computations. We show that these assumptions are not likely to have serious consequences in the relatively near-field viscoelastic displacements, where the earth's curvature is neglected. We also show that the approximation described by Rundle [1981, 1982], which was technically not regular as z → ∞, can easily be regularized using a new approach without appreciable change in the resulting displacement field.
Publisher version (URL)http://dx.doi.org/10.1029/2004GL019654
Appears in Collections:(IAG) Artículos
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