Transcript Slide 1
Types of seismic data used in Earth models • Body wave travel times • Surface wave dispersion • Normal modes (free oscillations or standing waves on the earth) Triplications and seismic discontinuities Surface Wave Dispersion Surface wave sensitivity kernels Normal modes (Free Oscillations) Standing waves on the Earth Radially symmetric (1-D) Reference Earth Models • Jeffreys-Bullen Earth Model (JB) 1936-1958 • Preliminary Reference Earth Model (PREM) Dziewonski & Anderson 1981 • IASPEI-91 Kennett & Engdahl (1991) • AK135 Kennett et al (1995) 3-D Seismic models Usually the strongest velocity variations are with depth So 3-D models usually require a good 1-D model first Methods: •Size of area: local, regional, or global? •Parameterization – blocks, nodes or spherical harmonics? •Data: P & S wave travel times •Surface waves – Love or Rayleigh - phase or group velocity •Attenuation Travel-time tomography -- Uses observed travel time for many source-receiver combinations to reconstruct seismic velocity image -- Solves for the slowness sj = 1/vj of each block (node) -- Travel time for each observation is the sum of travel times in each block t = Lj sj -- The matrix equation for all the travel times is: ti = Lij sj -- Least Squares Solution: s = [LTL]-1 LTt Regional Body Wave Tomography – Tonga Subduction Zone Raypaths Velocity Conder & Wiens [2006] Surface waves group vs phase velocity Differential Attenuation • Determine attenuation of a region by comparing two similar phases • Advantage is eliminating source, receiver effects Flanagan & Wiens [1998] Difficulties with seismic tomography Sources and Receivers Ray path density Rayleigh wave (70 s) tomography