
Accession Number : AD0653880
Title : ON AN EARTHQUAKE AND AFTERSHOCK MECHANISM RELATING TO A MODEL OF THE CRUST AND MANTLE,
Corporate Author : CALIFORNIA UNIV BERKELEY OFFICE OF RESEARCH SERVICES
Personal Author(s) : Lieber,Paul ; Braslau,David
Report Date : OCT 1965
Pagination or Media Count : 147
Abstract : A layered halfspace is presented as a model for the crustmantle system of the earth. Elastic and inelastic properties are attributed to both media. The primary purpose of this report is to study time sequences of shallow earthquakes, with special consideration of the material properties of the crust and mantle. The earthquake mechanism is modelled after the San Andreas Fault in California, and is considered as a discrete Volterra type dislocation. A threedimensional boundary value problem in static linear elasticity, where the material is assumed to be incompressible, is solved by means of a modified form of the Galerkin vector and use of double Fourier transforms. The solution is shown to reduce to the classical one obtained for the halfspace. Time dependent properties are introduced into the system by means of Biot's correspondence principle of linear viscoelasticity. Solutions are obtained in quadrature for the surface displacements and some stresses at the interface. A brief discussion of postglacial uplift and its relation to the inelastic properties of the system is included. Experiments and observations which may be needed for numerical calculations are suggested. (Author)
Descriptors : (*EARTHQUAKES, *SEQUENCES(MATHEMATICS)), TIME, SEISMIC WAVES, ELASTIC PROPERTIES, SEQUENTIAL ANALYSIS, BOUNDARY VALUE PROBLEMS, INTEGRAL TRANSFORMS, SURFACE PROPERTIES, GLACIERS, CREEP, NUMERICAL ANALYSIS, VISCOELASTICITY, EARTH(PLANET), MATHEMATICAL ANALYSIS, FAULTS(GEOLOGY), CALIFORNIA
Subject Categories : Seismology
Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE