Can I read Earth surface effects on active faults: An eigenvalue asymptotic analysis on EtoBox?

Earth surface effects on active faults: An eigenvalue asymptotic analysis by Ioan R. Ionescu; Darko Volkov is a Mathematics article available to read on EtoBox.

What is Earth surface effects on active faults: An eigenvalue asymptotic analysis about?

We study in this paper an eigenvalue problem (of Steklov type), modeling slow slip events (such as silent earthquakes, or earthquake nucleation phases) occurring on geological faults. We focus here on a half space formulation with traction free boundary condition: this simulates the earth surface where displacements take place and can be picked up by GPS measurements. We construct an appropriate functional framework attached to a formulation suitable for the half space setting. We perform an asymptotic analysis of the solution with respect to the depth of the fault. Starting from an integral representation for the displacement field, we prove that the differences between the eigenvalues and eigenfunctions attached to the half space problem and those attached to the free space problem, is of the order of d -2 , where d is a depth parameter: intuitively, this was expected as this is also the order of decay of the derivative of the Green's function for our problem. We actually prove faster decay in case of symmetric faults. For all faults, we rigorously obtain a very useful asymptotic formula for the surface displacement, whose dominant part involves a so called seismic moment. We als

Who reads Earth surface effects on active faults: An eigenvalue asymptotic analysis?

Author

Ioan R. Ionescu; Darko Volkov

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)

Published

2008

Language

EN

Field

Mathematics (Physical Sciences)