Rank-constrained Multidimensional Reconstruction of Seismic Data

• Author / Creator

  Carozzi, Fernanda

• Our ability to generate accurate images of the Earth interior relies on three steps:
  data acquisition, data preconditioning, and imaging/inversion. Imaging and inversion methods adopt mathematical physics principles associated with wave propagation phenomena to transform the seismic observations acquired on the surface of the Earth subsurface images. Preconditioning techniques aim to remove coherent and incoherent noise, equalize the energy of the source, and solve problems resulting from inadequate data acquisition.
  This thesis focuses on developing data preconditioning methods for multidimensional seismic volumes. I propose new data completion algorithms based on reduced-rank filtering for matrices and multilinear arrays (tensors). These techniques execute signal enhancement and data reconstruction simultaneously.

  My research explores unsolved questions of reduced-rank reconstruction methods, including alleviating irregular data sampling and reconstructing data contaminated with outliers. To provide solutions to these questions, I propose two new algorithms. The first algorithm, based on the Multichannel Singular Spectrum Analysis (MSSA) algorithm, is named Interpolated MSSA (I-MSSA). Unlike classical MSSA methods,
  I-MSSA can honour true spatial coordinates of an irregularly sampled dataset. The second algorithm reconstructs five-dimensional seismic volumes based on robust tensor completion principles. To do so, I explore robust loss functions that attenuate the influence of outliers in the reconstruction.

• Subjects / Keywords

  • seismic reconstruction
  • data processing
  • interpolation
  • multidimensional algebra
  • tensors

• Graduation date

  Spring 2021

• Type of Item

  Thesis

• Degree

  Doctor of Philosophy

• DOI

  https://doi.org/10.7939/r3-9n56-vq97

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.