Applications of full-wave seismic data assimilation (FWSDA)

Dawei Mu, En Jui Lee, Po Chen

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In the first volume of this book series, we introduced the concept of full-wave seismic data assimilation (FWSDA) and its mathematical formulations in the framework of the various data assimilation theories (Chen, 2010). The full-wave seismological inverse problem, which aims at estimating earth structure parameters and seismic source parameters using observed waveform data and the seismic wave equation, can be formulated as a weakly constrained generalized inverse, in which the seismic wave equation (with its initial and boundary conditions), the structural and source parameters and the waveform misfit measurements are all allowed to contain errors. FWSDA provides a unified framework for solving seismological inverse problems and for estimating uncertainties associated with the nonlinear inversion process. Both the adjoint-wavefield (AW) method and the scattering-integral (SI) method can be derived from FWSDA as special cases. In this chapter, we will discuss issues related to the applications of FWSDA in realistic seismological inverse problems. In FWSDA, the seismic wave equation and its adjoint system, if the AW method is adopted, or the receiver-side Green’s tensors (RGTs), if the SI method is adopted, need to be solved many times. For three-dimensional earth structure models with highly irregular surface topography or fault structures, the efficiency and the accuracy of the wave equation solver are highly important in solving the problem in a realistic amount of time. In this chapter, we will review and discuss some of the latest developments in numerical solutions of the forward problem and their implementation and optimization on modern CPU-GPU hybrid parallel computing platforms. In some of the recent successful full-3D waveform tomography applications, the waveform misfit measurements were made on selected wave packets on the seismograms. For realistic inversions involving a large amount of seismic data, this waveform selection process needs to be automated to a certain extent. We will discuss some recent developments in automating seismic waveform data processing and selection. A realistic full-3D, full-wave tomography for the crustal structure in Southern California will be used to illustrate the various components of FWSDA

Original languageEnglish
Title of host publicationSeismic Imaging, Fault Damage and Heal
PublisherWalter de Gruyter GmbH
Pages15-72
Number of pages58
ISBN (Electronic)9783110329957
ISBN (Print)9783110329919
DOIs
Publication statusPublished - 2014 Jan 1

All Science Journal Classification (ASJC) codes

  • Earth and Planetary Sciences(all)

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