HR: 1340h
AN: IN23A-1206    [Abstracts]
TI: Modeling Seismic Wave Propagation Using Time-Dependent Cauchy-Navier Splines
AU: * Kammann, P
EM: pkammann@mathematik.uni-kl.de
AF: Paula Kammann, University of Kaiserslautern, Department of Mathematics, Geomathematics Group, P. O. Box 30 49, Kaiserslautern, 67653 Germany
AB: Our intention is the modeling of seismic wave propagation from displacement measurements by seismographs at the Earth's surface. The elastic behaviour of the Earth is usually described by the Cauchy-Navier equation. A system of fundamental solutions for the Fourier transformed Cauchy-Navier equation are the Hansen vectors L, M and N. We apply an inverse Fourier transform to obtain an orthonormal function system depending on time and space. By means of this system we construct certain splines, which are then used for interpolating the given data. Compared to polynomial interpolation, splines have the advantage that they minimize some curvature measure and are, therefore, smoother. First, we test this method on a synthetic wave function. Afterwards, we apply it to realistic earthquake data. (P. Kammann, Modelling Seismic Wave Propagation Using Time-Dependent Cauchy-Navier Splines, Diploma Thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, 2005)
DE: 3285 Wave propagation (0689, 2487, 4275, 4455, 6934)
DE: 7203 Body waves
DE: 7255 Surface waves and free oscillations
DE: 7290 Computational seismology
SC: Earth and Space Science Informatics [IN]
MN: Fall Meeting 2005