Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity

Details Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity

2011-04-14

arxiv.org/abs/1104.3151v1

Physics

Geophysics

43 pages, 11 figures, submitted to Geophysical Journal International

Scientific paper

We propose a class of spherical wavelet bases for the analysis of geophysical models and forthe tomographic inversion of global seismic data. Its multiresolution character allows for modeling with an effective spatial resolution that varies with position within the Earth. Our procedure is numerically efficient and can be implemented with parallel computing. We discuss two possible types of discrete wavelet transforms in the angular dimension of the cubed sphere. We discuss benefits and drawbacks of these constructions and apply them to analyze the information present in two published seismic wavespeed models of the mantle, for the statistics and power of wavelet coefficients across scales. The localization and sparsity properties of wavelet bases allow finding a sparse solution to inverse problems by iterative minimization of a combination of the $\ell_2$ norm of data fit and the $\ell_1$ norm on the wavelet coefficients. By validation with realistic synthetic experiments we illustrate the likely gains of our new approach in future inversions of finite-frequency seismic data and show its readiness for global seismic tomography.

Affiliated with

Also associated with

No associations

Rating

Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-167945